GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tmmathmx.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tmmathmx.tom,v 4.3 2003/02/26 17:40:29 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the tables of marks of maximal subgroups of the
## Mathieu groups.
##
#H tomlib history
#H --------------
#H $Log: tmmathmx.tom,v $
#H Revision 4.3 2003/02/26 17:40:29 gap
#H fixed a table name
#H TB
#H
#H Revision 4.2 2001/07/05 07:05:46 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tmmathmx.tom,v
#H Working file: tmmathmx.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:53:17; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/19 13:20:59; author: gap; state: Exp;
#H added new table of marks library files
#H ==========================================================================
#H
Revision.tmmathmx_tom :=
"@(#)$Id: tmmathmx.tom,v 4.3 2003/02/26 17:40:29 gap Exp $";
SetActualLibFileName("tmmathmx");
LIBTOM( "M9:2",
[[1],[1,2],[1,3],[1,4],[1,2,3,5],[1,3,6],[1,3,7],[1,3,4,8],[1,2,4,9],[1,2,4,
10],[1,3,6,7,11],[1,2,3,5,6,12],[1,3,6,13],[1,4,14],[1,2,3,4,5,8,9,10,15],[1,
2,3,5,6,7,11,12,13,16],[1,2,4,9,10,14,17],[1,3,4,8,14,18],[1,3,4,6,8,14,18,
19],[1,3,4,7,8,14,18,20],[1,2,3,4,5,8,9,10,14,15,17,18,21],[1,3,4,6,7,8,11,14,
18,19,20,22],[1,2,3,4,5,6,8,9,10,12,14,15,17,18,19,21,23],[1,3,4,6,8,13,14,18,
19,24],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25]],
0,[[1],[1,1],[1,1],[1,1],[1,2,1,1],[1,1,1],[1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,
1],[1,1,1,2,1],[1,4,1,2,1,1],[1,1,1,1],[1,4,1],[1,4,3,1,3,1,1,1,1],[1,4,1,2,1,
2,1,1,1,1],[1,3,4,1,3,1,1],[1,9,4,12,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,
1],[1,6,9,4,9,12,2,6,1,6,2,1,1],[1,9,4,9,18,12,9,1,1,1,2,1],[1,12,9,4,18,9,12,
4,12,9,1,12,4,1,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,12,9,4,18,9,18,12,4,12,9,9,9,
1,12,9,4,1,1,2,2,1,1,1,1]],
[1,2,2,3,4,4,4,6,6,6,8,8,8,9,12,16,18,18,36,36,36,72,72,72,144],
[25,15,16,21,12,16,11,15,21,15,16,16,16,25,15,16,21,25,25,22,23,25,25,25,25],
[1,1,1,1,1,1,1,4,4,1,3,3,1,1,4,6,4,14,14,14,14,18,18,14,19],
[( 1, 2)( 3, 4, 7, 9, 5,12)( 6,10,11),( 3, 9, 5,10)( 4,12, 6,11)],
[[[[]]],[[[1,-3]]],[[[2,-2]]],[[[1,2]]],[[[1,2,2,-1,1,1,2,-1]],[[1,1,2,-2,1,
1]]],[[[1,1,2,-1,1,-1,2,1]]],[[[2,1]]],[[[1,1,2,-2,1,1]],[[2,-2,1,2]]],[[[2,1,
1,1,2,-1,1,2]],[[1,2,2,1,1,1,2,-1]]],[[[1,1]]],[[[1,1,2,-1,1,-1,2,-1]],[[1,2,
2,1]]],[[[1,2,2,-1,1,1,2,-1]],[[1,1,2,-1,1,-1,2,-1]]],[[[1,1,2,1]]],[[[2,1,1,
2,2,-1]],[[1,-2]]],[[[2,-2,1,2]],[[2,1,1,1,2,1]]],[[[1,1,2,1,1,2]],[[1,2,2,
1]]],[[[2,1,1,-1,2,-1]],[[1,-2]]],[[[2,1,1,-2,2,-1]],[[1,-2]],[[2,-2]]],[[[2,
1,1,1,2,-1,1,-1]],[[1,2]]],[[[1,2]],[[2,1]]],[[[2,1,1,-1,2,-1]],[[2,-2]],[[1,
-2]]],[[[1,1,2,-1,1,1]],[[2,-1]]],[[[2,1,1,-1,2,-1]],[[1,1]]],[[[2,1,1,1]],[[
2,1,1,-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "M8:S3",
[[1],[1,2],[1,3],[1,4],[1,2,3,5],[1,2,6],[1,2,4,7],[1,3,4,8],[1,3,4,9],[1,2,6,
10],[1,2,6,11],[1,2,3,5,6,12],[1,2,3,4,5,7,8,9,13],[1,2,3,5,6,10,11,12,14],[1,
2,4,6,7,10,15],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]],
0,[[1],[1,1],[1,1],[1,1],[1,1,2,1],[1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,
3,1],[1,1,1,1],[1,1,4,2,1,1],[1,1,6,1,3,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,4,3,
4,1,1],[1,1,12,4,6,3,4,4,4,1,3,3,4,3,1,1]],
[1,2,2,3,4,4,6,6,6,8,8,8,12,16,24,48],
[16,16,5,13,12,14,13,13,13,16,14,14,13,14,16,16],
[1,1,1,1,1,1,1,4,4,2,1,2,4,6,10,15],
[( 1, 2)( 3, 7, 4, 5, 6,10,12,11),( 2, 9)( 4,10)( 5,11)( 7,12)],
[[[[]]],[[[1,-4]]],[[[2,1]]],[[[1,1,2,1,1,2]]],[[[1,1,2,1,1,2,2,1]],[[1,
-4]]],[[[1,2]]],[[[1,1,2,1]]],[[[1,2],[3,1,2,1,3,1]],[[2,1,1,-3]]],[[[1,2],[3,
1,2,1,3,-1]],[[2,1,1,-3]]],[[[2,1,1,2,2,1]],[[1,2]]],[[[1,1]]],[[[1,1,2,1,1,2,
2,1]],[[1,2]]],[[[1,2],[3,1,2,1,3,-1]],[[2,1,1,1]]],[[[2,1,1,2,2,1]],[[1,
-1]]],[[[2,1,1,-1]],[[1,2]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "4^2:D12.2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,3,4,9],[1,2,5,10],[1,2,
11],[1,2,3,12],[1,2,5,13],[1,2,4,14],[1,2,6,15],[1,2,16],[1,3,4,17],[1,2,18],[
1,5,19],[1,3,6,20],[1,5,6,21],[1,3,22],[1,3,7,23],[1,6,7,24],[1,4,7,25],[1,2,
3,8,12,26],[1,2,4,8,14,27],[1,2,8,11,28],[1,2,5,8,10,13,29],[1,2,3,12,16,30],[
1,2,3,6,12,15,20,31],[1,2,11,16,32],[1,2,5,6,10,15,21,33],[1,2,8,18,34],[1,2,
5,10,16,35],[1,2,6,11,15,36],[1,2,3,5,10,11,12,37],[1,2,6,8,15,16,38],[1,2,5,
11,13,39],[1,2,3,6,12,15,16,40],[1,2,3,4,9,12,14,17,41],[1,2,6,11,15,16,42],[
1,2,5,10,19,43],[1,2,11,44],[1,2,5,6,10,15,16,45],[1,2,5,10,18,46],[1,2,3,12,
22,47],[1,2,4,5,13,14,18,48],[1,3,4,6,17,20,22,49],[1,3,4,6,9,20,22,50],[1,2,
7,8,51],[1,3,6,7,20,23,24,52],[1,3,4,7,9,23,25,53],[1,3,7,22,23,54],[1,2,8,11,
28,55],[1,2,3,4,8,9,12,14,17,26,27,41,56],[1,2,5,8,10,13,18,29,34,57],[1,2,3,
8,12,18,26,34,58],[1,2,5,8,10,13,18,29,34,46,59],[1,2,5,8,10,11,13,28,29,39,
60],[1,2,3,5,8,10,11,12,13,26,28,29,37,61],[1,2,3,6,8,12,15,16,20,26,30,31,38,
40,62],[1,2,5,6,8,10,13,15,16,21,29,33,35,38,45,63],[1,2,6,8,11,15,16,28,32,
36,38,42,64],[1,2,8,11,18,28,34,65],[1,2,4,5,8,10,13,14,18,27,29,34,48,66],[1,
2,8,11,28,44,67],[1,2,5,8,10,13,19,29,43,68],[1,2,4,8,11,14,18,27,28,34,69],[
1,2,3,8,12,22,26,47,70],[1,2,5,6,11,13,15,36,39,44,71],[1,2,3,5,6,10,11,12,15,
16,30,32,35,37,40,42,45,72],[1,2,5,6,10,15,18,19,21,33,43,46,73],[1,2,3,4,9,
12,14,16,17,22,30,41,47,74],[1,2,3,4,6,9,12,14,15,17,20,22,31,41,47,49,50,
75],[1,2,5,11,13,16,32,39,44,76],[1,2,3,5,6,10,11,12,15,16,20,21,31,33,36,37,
40,42,45,77],[1,2,5,10,16,18,19,35,43,46,78],[1,2,3,7,8,12,23,26,51,79],[1,2,
4,7,8,14,25,27,51,80],[1,2,6,7,8,15,16,24,38,51,81],[1,3,4,6,7,9,20,22,23,24,
25,50,52,53,54,82],[1,2,3,5,8,10,11,12,13,26,28,29,37,39,55,60,61,83],[1,2,4,
8,11,14,18,27,28,34,55,65,69,84],[1,2,3,5,6,8,10,11,12,13,15,16,20,21,26,28,
29,30,31,32,33,35,36,37,38,40,42,45,61,62,63,64,72,77,85],[1,2,3,5,8,10,11,12,
13,26,28,29,37,44,61,67,86],[1,2,3,5,8,10,11,12,13,22,26,28,29,37,47,61,70,
87],[1,2,3,5,8,10,11,12,13,18,26,28,29,34,37,46,57,58,59,61,65,88],[1,2,3,5,8,
10,11,12,13,19,26,28,29,37,43,61,68,89],[1,2,3,4,5,8,9,10,11,12,13,14,17,18,
26,27,28,29,34,37,41,48,56,58,61,66,69,90],[1,2,5,6,8,10,13,15,16,18,19,21,29,
33,34,35,38,43,45,57,63,68,91],[1,2,5,6,8,10,11,13,15,16,28,29,32,36,38,39,42,
44,60,64,67,71,76,92],[1,2,5,6,8,10,13,15,16,18,19,21,29,33,34,35,38,43,45,46,
59,63,68,73,78,93],[1,2,6,8,11,15,16,28,32,36,38,42,44,55,64,67,94],[1,2,3,6,
8,12,15,16,18,20,22,26,30,31,34,38,40,47,58,62,70,95],[1,2,3,4,6,8,9,12,14,15,
16,17,20,22,26,27,30,31,38,40,41,47,49,50,56,62,70,74,75,96],[1,2,4,5,8,10,11,
13,14,18,27,28,29,34,39,46,48,57,59,60,65,66,69,97],[1,2,7,8,11,28,51,55,98],[
1,2,3,4,7,8,9,12,14,17,23,25,26,27,41,51,53,56,79,80,99],[1,2,3,6,7,8,12,15,
16,20,23,24,26,30,31,38,40,51,52,62,79,81,100],[1,2,3,7,8,12,22,23,26,47,51,
54,70,79,101],[1,2,3,4,5,8,9,10,11,12,13,14,17,18,26,27,28,29,34,37,39,41,46,
48,55,56,57,58,59,60,61,65,66,69,83,84,88,90,97,102],[1,2,3,5,6,8,10,11,12,13,
15,16,20,21,26,28,29,30,31,32,33,35,36,37,38,39,40,42,44,45,55,60,61,62,63,64,
67,71,72,76,77,83,85,86,92,94,103],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
18,20,21,22,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,45,47,48,49,50,56,
58,61,62,63,64,66,69,70,72,74,75,77,85,87,90,95,96,104],[1,2,3,5,8,10,11,12,
13,19,22,26,28,29,37,39,43,47,55,60,61,68,70,83,87,89,105],[1,2,3,5,6,8,10,11,
12,13,15,16,18,19,20,21,26,28,29,30,31,32,33,34,35,36,37,38,40,42,43,45,46,57,
58,59,61,62,63,64,65,68,72,73,77,78,85,88,89,91,93,106],[1,2,3,4,5,8,9,10,11,
12,13,14,17,18,19,26,27,28,29,34,37,41,43,44,48,56,58,61,66,67,68,69,86,89,90,
107],[1,2,3,5,8,10,11,12,13,18,22,26,28,29,34,37,44,46,47,57,58,59,61,65,67,
70,86,87,88,108],[1,2,3,5,7,8,10,11,12,13,23,26,28,29,37,39,51,55,60,61,79,83,
98,109],[1,2,6,7,8,11,15,16,24,28,32,36,38,42,44,51,55,64,67,81,94,98,110],[1,
2,4,7,8,11,14,18,25,27,28,34,51,55,65,69,80,84,98,111],[1,2,3,4,6,7,8,9,12,14,
15,16,17,20,22,23,24,25,26,27,30,31,38,40,41,47,49,50,51,52,53,54,56,62,70,74,
75,79,80,81,82,96,99,100,101,112],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,102,103,104,105,106,107,108,
113],[1,2,3,5,6,7,8,10,11,12,13,15,16,20,21,23,24,26,28,29,30,31,32,33,35,36,
37,38,39,40,42,44,45,51,52,55,60,61,62,63,64,67,71,72,76,77,79,81,83,85,86,92,
94,98,100,103,109,110,114],[1,2,3,5,7,8,10,11,12,13,19,22,23,26,28,29,37,39,
43,47,51,54,55,60,61,68,70,79,83,87,89,98,101,105,109,115],[1,2,3,4,5,7,8,9,
10,11,12,13,14,17,18,23,25,26,27,28,29,34,37,39,41,46,48,51,53,55,56,57,58,59,
60,61,65,66,69,79,80,83,84,88,90,97,98,99,102,109,111,116],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,
1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,1],[
1,1,2,1],[1,1,2,1],[1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,4,1,6,1],[1,3,4,
1,6,1],[1,3,1,2,1],[1,3,4,1,2,4,1],[1,1,2,1,2,1],[1,1,2,4,1,2,4,1],[1,1,1,2,
1],[1,1,2,4,1,2,4,1],[1,3,1,2,1],[1,1,2,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,4,1,1,2,3,1],[1,1,2,
1,1,1,1],[1,1,2,1,2,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,2,1],[1,1,2,1,2,
1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,4,1,1],[1,1,6,1,
3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,3,1,6,3,1],[1,3,4,8,1,4,6,12,12,1,
2,12,1],[1,3,4,1,2,4,4,1,2,1],[1,3,4,1,6,4,1,2,1],[1,3,4,1,2,4,4,1,2,4,1],[1,
3,8,1,4,2,8,1,2,4,1],[1,3,4,4,1,2,2,6,4,1,1,1,4,1],[1,3,4,4,1,6,2,2,4,1,1,1,2,
2,1],[1,3,4,4,1,2,4,2,2,4,1,1,1,2,2,1],[1,3,4,1,2,2,2,1,1,1,2,2,1],[1,3,1,2,4,
1,2,1],[1,3,4,4,1,2,4,6,2,1,1,1,4,1],[1,3,1,2,1,2,1],[1,3,4,1,2,4,4,1,2,1],[1,
3,4,1,2,6,2,1,1,1,1],[1,3,4,1,6,4,1,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,2,2,1,
1,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,2,4,1,1,2,2,3,2,1,1,
1,1],[1,1,2,4,4,1,1,2,2,3,4,2,1,1,1,2,2,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,2,6,1,
1,1,3,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,2,2,2,1,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,
3,4,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[
1,3,4,12,1,6,6,6,12,1,3,3,12,12,1,3,3,1],[1,3,4,1,6,6,6,1,3,3,1,3,3,1],[1,3,4,
4,8,1,2,2,6,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,3,4,4,1,2,
2,6,4,1,1,1,4,4,1,2,1],[1,3,4,4,1,2,2,6,4,8,1,1,1,4,4,1,2,1],[1,3,4,4,1,2,2,6,
4,8,1,1,1,4,4,4,1,2,1,1,2,1],[1,3,4,4,1,2,2,6,4,8,1,1,1,4,4,1,2,1],[1,3,4,8,4,
1,4,2,2,6,4,12,12,4,1,2,1,1,2,4,12,8,1,1,1,2,2,1],[1,3,4,4,1,2,4,2,2,4,4,4,1,
1,2,1,2,2,2,1,1,1,1],[1,3,8,4,1,4,2,8,2,2,1,2,1,1,2,4,2,2,1,1,1,2,2,1],[1,3,4,
4,1,2,4,2,2,4,4,4,1,1,2,1,2,2,2,4,1,1,1,2,2,1],[1,3,4,1,6,2,2,3,1,1,2,2,2,1,1,
1,1],[1,3,4,4,1,6,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,8,4,1,4,6,12,2,2,12,
4,4,1,2,1,1,2,2,12,2,4,4,1,1,1,2,2,1],[1,3,4,8,1,4,2,8,6,6,1,1,2,3,4,4,8,1,1,
1,1,2,1,1],[1,3,16,1,6,3,4,1,1],[1,3,4,8,4,1,4,6,12,12,4,8,1,2,12,1,4,1,1,2,
1],[1,3,4,12,4,1,6,6,6,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,4,4,1,6,12,4,1,6,1,
4,3,1,1],[1,3,4,8,12,1,4,6,6,6,12,12,12,12,1,2,3,3,6,12,12,12,12,24,1,1,3,3,3,
3,3,6,6,6,1,2,3,3,6,1],[1,3,4,12,8,1,6,6,6,12,4,4,8,8,1,3,3,2,2,2,2,2,2,12,4,
12,4,4,4,4,1,3,3,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,4,8,4,8,1,4,2,2,6,4,12,4,4,
12,4,8,8,8,1,2,1,1,2,2,2,2,2,2,2,4,4,4,12,4,4,4,8,8,8,1,1,1,2,2,2,2,2,2,4,4,4,
4,1,1,1,2,2,1],[1,3,4,12,1,6,6,6,12,8,8,1,3,3,12,12,4,4,1,3,3,2,2,1,1,1,1],[1,
3,4,4,8,1,2,2,6,4,4,4,8,8,8,8,1,1,1,2,2,2,2,4,2,2,4,4,4,4,4,4,4,1,2,1,1,2,2,2,
2,2,4,4,4,4,1,1,1,2,2,1],[1,3,4,8,4,1,4,2,2,6,4,12,12,4,8,1,2,1,1,2,4,12,4,4,
8,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,4,1,2,2,6,4,8,8,1,1,1,4,4,4,4,4,1,2,1,1,2,2,2,
1,1,1,1],[1,3,4,12,16,1,6,6,6,12,16,1,3,3,12,12,4,1,3,3,4,1,1,1],[1,3,12,16,1,
6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,4,16,1,6,6,6,16,1,3,3,4,1,3,3,4,1,
1,1],[1,3,4,8,12,4,1,4,6,12,6,6,12,12,12,4,8,8,1,2,3,3,6,6,12,6,12,12,1,4,4,4,
1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,3,4,8,12,8,1,4,6,6,6,12,12,4,4,12,12,8,8,8,8,
1,2,3,3,2,2,2,2,6,2,2,12,4,12,4,12,4,4,4,4,12,4,24,8,8,1,1,3,3,3,3,3,2,2,2,6,
6,2,2,6,2,4,4,4,4,4,4,4,4,1,2,1,1,1,3,1,3,2,2,2,2,2,2,6,1,1,1,1,1,1,1,1],[1,3,
4,12,24,16,1,6,6,6,12,12,12,24,24,16,32,1,3,3,6,6,6,6,6,6,12,12,12,12,12,12,
12,4,16,1,3,3,6,6,6,6,12,12,12,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,4,12,16,1,6,
6,6,12,24,24,16,1,3,3,12,12,12,12,4,16,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,8,
12,16,1,4,6,6,6,12,12,12,12,16,32,1,2,3,3,6,12,12,12,12,24,4,16,1,1,3,3,3,3,3,
6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,3,4,8,12,24,16,1,4,6,6,6,12,12,12,12,12,
12,24,24,24,24,16,32,32,1,2,3,3,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,
12,24,24,24,4,16,16,16,1,1,3,3,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
12,4,8,8,16,1,2,3,3,3,3,3,3,6,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,
1,1]],
[1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,48,48,48,48,64,64,64,64,64,64,64,96,96,96,96,128,192,192,192,384],
[117,113,112,99,93,77,82,117,112,106,103,104,97,90,85,85,96,97,78,75,73,75,82,
52,53,117,116,113,113,104,104,103,106,102,106,103,85,85,92,85,96,85,93,92,85,
93,96,66,75,75,112,82,82,82,117,117,113,113,113,113,113,104,106,103,102,102,
103,106,102,104,92,85,93,96,96,92,85,93,112,99,100,82,117,116,113,113,113,113,
113,113,106,103,106,103,104,104,102,117,112,112,112,117,113,113,113,113,113,
113,117,114,116,112,113,117,117,117,117],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,1,1,1,1,1,1,2,1,1,1,2,2,2,
2,2,1,1,1,1,2,1,1,2,3,3,8,7,1,7,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,11,2,5,3,3,11,
2,5,8,8,51,23,8,8,2,8,8,8,8,8,10,11,10,11,12,12,8,55,8,51,51,8,28,26,28,29,26,
29,55,98,55,79,61,98,98,55,109],
[( 1, 7)( 2,19)( 3,11)( 4, 6)( 5,24)( 8, 9)(10,16)(12,13)(14,22)(15,17)(18,21)
(20,23),( 1,16,23,13,20,18)( 2,15, 5,10, 7, 6)( 3, 4,14, 9,11,12)
( 8,22,21,24,17,19)],
[[[[]]],[[[1,1,2,1],[2,2,1,1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,2],[4,1,3,
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-2]]],[[[1,1,2,-1]],[[1,1,2,2]]],[[[1,1,2,2]],[[2,2,1,1,2,1]]],[[[2,2]],[[1,1,
2,1,1,1,2,-1]]],[[[1,1]],[[2,2]]],[[[2,2]],[[1,1,2,-1,1,1]]],[[[1,1]],[[2,
-3]],[[2,-1,1,1,2,1]]],[[[1,1]],[[2,1,1,1,2,1]],[[2,-3]]],[[[2,2,1,1]],[[2,1,
1,1,2,1]]],[[[1,1,2,1]],[[2,1,1,1]]],[[[2,1]],[[1,1,2,-1,1,1]]],[[[1,1]],[[2,
1]]]]);
LIBTOM( "S4xS3",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,3,10],[1,3,4,11],[1,3,
12],[1,3,5,13],[1,3,14],[1,3,6,15],[1,2,3,5,16],[1,4,5,6,17],[1,2,4,6,18],[1,
2,7,19],[1,3,7,20],[1,5,7,21],[1,4,8,22],[1,6,7,23],[1,4,7,24],[1,2,8,25],[1,
6,8,26],[1,6,9,27],[1,3,4,10,11,12,28],[1,2,3,5,10,13,16,29],[1,3,6,10,14,15,
30],[1,2,3,4,5,6,11,15,16,17,18,31],[1,3,4,5,11,13,14,32],[1,3,5,6,12,13,15,
33],[1,2,3,5,12,14,16,34],[1,7,8,9,35],[1,3,8,10,36],[1,3,7,10,20,37],[1,3,9,
10,38],[1,3,7,14,20,39],[1,3,4,7,11,20,24,40],[1,3,6,7,15,20,23,41],[1,3,7,12,
20,42],[1,2,3,5,7,16,19,20,21,43],[1,3,5,7,13,20,21,44],[1,2,4,6,7,18,19,23,
24,45],[1,4,5,6,7,17,21,23,24,46],[1,2,4,6,8,18,22,25,26,47],[1,2,3,4,5,6,10,
11,12,13,14,15,16,17,18,28,29,30,31,32,33,34,48],[1,2,7,8,9,19,25,35,49],[1,4,
7,8,9,22,24,35,50],[1,6,7,8,9,23,26,27,35,51],[1,3,4,8,10,11,12,22,28,36,52],[
1,2,3,5,7,10,13,16,19,20,21,29,37,43,44,53],[1,2,3,5,8,10,13,16,25,29,36,54],[
1,2,3,4,5,6,7,11,15,16,17,18,19,20,21,23,24,31,40,41,43,45,46,55],[1,2,3,5,7,
12,14,16,19,20,21,34,39,42,43,56],[1,3,5,6,7,12,13,15,20,21,23,33,41,42,44,
57],[1,3,4,5,7,11,13,14,20,21,24,32,39,40,44,58],[1,3,6,7,10,14,15,20,23,30,
37,39,41,59],[1,3,4,7,10,11,12,20,24,28,37,40,42,60],[1,3,6,8,10,14,15,26,30,
36,61],[1,3,6,9,10,14,15,27,30,38,62],[1,3,7,8,9,10,20,35,36,37,38,63],[1,2,4,
6,7,8,9,18,19,22,23,24,25,26,27,35,45,47,49,50,51,64],[1,2,3,4,5,6,8,10,11,12,
13,14,15,16,17,18,22,25,26,28,29,30,31,32,33,34,36,47,48,52,54,61,65],[1,2,3,
4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,23,24,28,29,30,31,32,33,34,37,39,
40,41,42,43,44,45,46,48,53,55,56,57,58,59,60,66],[1,2,3,5,7,8,9,10,13,16,19,
20,21,25,29,35,36,37,38,43,44,49,53,54,63,67],[1,3,6,7,8,9,10,14,15,20,23,26,
27,30,35,36,37,38,39,41,51,59,61,62,63,68],[1,3,4,7,8,9,10,11,12,20,22,24,28,
35,36,37,38,40,42,50,52,60,63,69],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,2,1],[1,1,
1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,3,1,1],[
1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,
1],[1,3,2,1,1,1,1],[1,1,3,3,1,3,3,1],[1,3,2,1,1,1,1],[1,1,1,2,1,2,1,1,1,2,2,
1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,2,1],[1,3,4,1,
1],[1,3,1,1,3,1],[1,3,4,1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,
1],[1,1,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,1,3,1,3,1,1,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,2,3,2,1,1,1,3,1,1,3,2,2,
1,1,1,1,1,1,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,1,3,3,4,1,3,3,
4,1,1,1],[1,3,1,2,3,6,1,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,3,1,3,1,1,3,3,1,
1,1,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,
1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,6,4,1,3,
3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,3,9,1,1,2,9,
1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,1,3,6,3,6,4,1,3,3,3,3,3,3,6,6,4,4,4,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,3,3,2,9,6,1,1,1,1,9,3,3,9,6,6,1,3,3,2,2,1,3,3,3,3,3,3,1,
1,1,1,1,3,3,2,2,3,1,1,1,1,1,1,1,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,2,3,
3,4,1,3,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,6,
1,4,8,1,3,3,3,4,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,3,6,9,18,1,4,8,1,3,3,9,9,9,9,
18,18,1,3,3,4,6,6,12,12,24,3,3,9,9,9,9,9,4,1,1,2,3,3,3,3,3,3,6,6,12,9,4,4,4,1,
1,3,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1]],
[1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,9,12,12,
12,12,12,12,12,12,12,12,12,12,16,18,18,18,24,24,24,24,24,24,24,24,24,24,24,36,
36,48,48,72,72,72,144],
[70,65,66,55,48,31,70,64,51,70,66,66,48,48,48,48,31,31,70,66,66,64,55,55,47,
47,27,66,65,48,48,48,48,48,64,70,70,68,66,66,66,66,66,66,55,55,47,48,64,64,64,
70,70,65,66,66,66,66,66,66,65,62,70,64,65,66,70,70,70,70],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,7,8,7,1,1,8,9,3,1,3,1,3,3,1,1,10,1,
10,7,1,7,1,7,7,7,7,8,3,7,8,35,36,7,10,7,7,20,20,20,3,36,38,10,35,36,20,37,63,
36,63],
[( 1, 4,14,17)( 2,13,23, 6)( 3,12,19,15)( 5, 8, 7,16)( 9,24,18,22)
(10,20,21,11),( 1,11)( 2,20,23, 3,14,19)( 4,17, 6)( 5, 7,22)( 8,10, 9,15,18,21
)(12,16)],
[[[[]]],[[[1,1,2,-3,1,-1]]],[[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[2,1,1,1,2,-1,1,
-1,2,1,1,-1]]],[[[2,1,1,-1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,-1,2,1,1,-1,3,
-1]]],[[[1,1,2,1,1,1,2,1]]],[[[2,2]]],[[[1,1,2,1,1,-1,2,-1]]],[[[1,-2]],[[2,1,
1,-2,2,-1]]],[[[1,1,2,1],[1,1,3,-1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,3,-2]]],[[[1,
1,2,1],[1,1,2,-1,3,2]]],[[[2,1,1,-2,2,-1]],[[2,1,1,-1,2,-1,1,1,2,1]]],[[[2,-3,
1,1,2,-1]]],[[[1,1,2,1],[3,1,1,-2,3,-1]],[[1,1,2,1],[2,1,3,-1,2,1,1,-1,3,
-1]]],[[[1,1,2,-3,1,-1]],[[1,1,2,1,1,-1,2,-2]]],[[[2,1,1,-1,2,-1,1,1,2,1]],[[
1,1,2,2,1,-2]]],[[[2,1,1,-1,2,1]],[[1,1,2,-3,1,-1]]],[[[2,-3]],[[1,1,2,1,1,1,
2,1]]],[[[2,1,1,-1,2,1,1,-1]]],[[[1,1,2,1,1,1,2,1]],[[2,1,1,-1,2,-1,1,1,2,
1]]],[[[2,2]],[[1,1,2,1],[1,1,3,-1,2,1,3,1]]],[[[1,-1,2,2]],[[1,1,2,1,1,1,2,
1]]],[[[1,1,2,1,1,-2,2,2]]],[[[1,1,2,1,1,1]]],[[[2,2]],[[1,1,2,-1,1,1,2,-1,1,
-1]]],[[[1,1,2,1,1,-1,2,-1]],[[2,1,1,-1,2,-1,1,-2]]],[[[1,-2]],[[1,1,2,1],[1,
1,2,-1,3,2]]],[[[1,-2]],[[2,1,1,-2,2,-1]],[[1,1,2,-3,1,-1]]],[[[1,-2]],[[1,1,
2,1],[3,-3,2,1]]],[[[1,1,2,-3,1,-1]],[[1,-2,2,-1,1,1,2,1]],[[1,1,2,1,1,-1,2,
-2]]],[[[2,2,1,1]],[[2,1,1,-1,2,-1,1,1,2,1]]],[[[2,2,1,-1]],[[2,1,1,-1,2,-1,1,
1,2,1]]],[[[1,1,2,-3,1,-1]],[[2,-3,1,1,2,-1]]],[[[2,2]],[[1,1,2,1,1,1,2,
1]]],[[[2,2]],[[1,-2]]],[[[1,-2]],[[2,1,1,-1,2,1,1,-1]]],[[[1,-2]],[[1,1,2,1,
1,-1,2,-1]]],[[[1,1,2,2]],[[2,1,1,-1,2,1,1,-1]]],[[[1,-1,2,-1]],[[2,1,1,-1,2,
1,1,-1]]],[[[1,-1,2,2]],[[2,1,1,-1,2,1,1,-1]]],[[[1,1,2,-1]]],[[[2,-3]],[[2,1,
1,-1,2,1,1,-1]]],[[[2,1,1,-1,2,1,1,-1]],[[1,1,2,-3,1,1]]],[[[1,-1,2,-1]],[[1,
-1,2,2]]],[[[1,-1,2,2]],[[1,-2,2,1,1,-1]]],[[[1,1,2,1,1,1]],[[1,-2,2,-1,1,1,2,
1]]],[[[1,-2]],[[1,1,2,1,1,-1,2,-2]],[[1,-2],[2,-1,1,1,2,1]]],[[[2,-1]],[[1,1,
2,1,1,1]]],[[[2,2]],[[1,1,2,-1,1,-2]]],[[[2,2]],[[1,1,2,1,1,1,2,-1]],[[1,-2,2,
1,1,-1,2,-1]]],[[[2,2]],[[1,1,2,1],[1,1,2,-1,3,2]]],[[[1,-2]],[[2,-3]],[[2,1,
1,-1,2,1,1,1]]],[[[2,2]],[[1,1,2,1,1,-1]]],[[[1,-1,2,-1]],[[2,-3]],[[1,-2,2,1,
1,-1]]],[[[1,1,2,-1]],[[1,1,2,2]]],[[[1,1,2,-1]],[[1,-1,2,2]]],[[[2,1,1,1]],[[
1,1,2,2]]],[[[1,-1,2,2]],[[2,1,1,-1,2,1,1,1]]],[[[1,1,2,-1]],[[1,-1,2,
-1]]],[[[2,2]],[[1,1,2,-1,1,1,2,1,1,-1]]],[[[2,2,1,1]],[[1,1,2,1,1,-1,2,
-1]]],[[[1,1,2,2,1,1]],[[1,1,2,1,1,1,2,-1]]],[[[2,-1]],[[1,1,2,-1,1,-2]]],[[[
1,1,2,-1,1,-1]],[[2,1,1,-1,2,-1]]],[[[1,1]],[[2,-3]],[[2,1,1,-1,2,1]]],[[[2,
-1]],[[1,1,2,1,1,-1]]],[[[1,1]],[[2,2]],[[2,1,1,-1,2,1]]],[[[2,2]],[[1,1,2,
-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "M8.S4",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,2,3,9],[1,3,10],[1,2,4,
11],[1,3,12],[1,3,13],[1,4,14],[1,3,5,15],[1,2,5,16],[1,3,5,17],[1,3,4,18],[1,
5,6,19],[1,5,6,20],[1,2,6,21],[1,2,7,22],[1,2,3,9,10,23],[1,2,8,24],[1,2,4,11,
14,25],[1,2,4,7,11,26],[1,2,3,7,8,9,27],[1,2,3,4,9,11,18,28],[1,2,4,8,11,29],[
1,2,5,7,16,30],[1,2,3,4,7,9,11,31],[1,2,3,4,8,9,11,32],[1,2,4,7,8,11,33],[1,2,
3,9,12,13,34],[1,2,3,5,9,15,16,17,35],[1,2,5,8,16,36],[1,2,7,37],[1,2,8,38],[
1,3,4,5,13,15,18,39],[1,3,5,10,13,17,40],[1,3,5,10,12,17,41],[1,3,4,5,12,15,
18,42],[1,3,6,10,43],[1,4,6,14,44],[1,2,5,6,16,19,20,21,45],[1,2,3,5,7,8,9,15,
16,17,27,30,35,36,46],[1,2,3,7,8,9,27,37,47],[1,2,3,7,8,9,12,13,27,34,48],[1,
2,3,4,7,8,9,11,22,26,27,31,33,49],[1,2,3,4,7,8,9,10,11,18,23,27,28,31,32,50],[
1,2,3,4,7,8,9,11,24,27,29,32,33,51],[1,2,3,7,8,9,27,38,52],[1,2,3,5,9,10,12,
13,15,16,17,23,34,35,40,41,53],[1,2,3,4,5,9,11,12,13,15,16,17,18,28,34,35,39,
42,54],[1,2,4,5,7,11,16,26,30,37,55],[1,2,5,7,16,22,30,37,56],[1,2,4,5,8,11,
16,29,36,38,57],[1,2,5,8,16,24,36,38,58],[1,2,3,4,7,8,9,11,14,18,25,26,28,29,
31,32,33,59],[1,2,3,6,9,10,21,23,43,60],[1,3,5,6,10,12,17,20,41,43,61],[1,2,6,
7,21,22,62],[1,2,6,8,21,24,63],[1,3,5,6,10,13,17,19,40,43,64],[1,2,4,6,11,14,
21,25,44,65],[1,2,3,4,7,8,9,10,11,14,18,22,23,24,25,26,27,28,29,31,32,33,49,
50,51,59,66],[1,2,3,4,5,7,8,9,11,15,16,17,22,26,27,30,31,33,35,36,37,46,47,49,
55,56,67],[1,2,3,4,5,7,8,9,10,11,12,13,15,16,17,18,23,27,28,30,31,32,34,35,36,
39,40,41,42,46,48,50,53,54,68],[1,2,3,4,5,7,8,9,11,15,16,17,24,27,29,30,32,33,
35,36,38,46,51,52,57,58,69],[1,2,3,4,7,8,9,11,12,13,22,26,27,31,33,34,38,48,
49,52,70],[1,2,3,4,7,8,9,10,11,18,23,27,28,31,32,37,38,47,50,52,71],[1,2,3,4,
7,8,9,11,12,13,24,27,29,32,33,34,37,47,48,51,72],[1,2,3,5,6,9,10,12,13,15,16,
17,19,20,21,23,34,35,40,41,43,45,53,60,61,64,73],[1,2,5,6,7,16,19,20,21,22,30,
37,45,56,62,74],[1,2,5,6,8,16,19,20,21,24,36,38,45,58,63,75],[1,2,3,4,5,7,8,9,
10,11,12,13,14,15,16,17,18,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,46,47,48,49,50,51,52,53,54,55,56,57,58,59,66,67,68,69,70,71,72,
76],[1,2,3,4,6,7,8,9,10,11,14,18,21,22,23,24,25,26,27,28,29,31,32,33,43,44,49,
50,51,59,60,62,63,65,66,77],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,3,1],[1,1,2,
1],[1,1,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,3,1,1],[
1,3,1,1],[1,1,1,1],[1,1,3,1],[1,1,6,3,4,1],[1,1,3,1],[1,1,6,3,4,1],[1,1,4,1,2,
1],[1,1,2,1,1,1,1],[1,1,2,4,1,2,4,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,
1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,4,1,2,2,2,1],[1,
1,4,1,2,1],[1,1,1,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,6,1,3,1,1,1,1],[1,1,2,8,1,1,
1,4,4,4,1,2,2,2,1],[1,1,2,1,1,1,1,2,1],[1,1,2,1,1,1,2,2,1,2,1],[1,1,2,4,3,1,1,
2,1,1,1,2,2,1],[1,1,6,4,1,1,3,4,2,4,1,1,1,2,2,1],[1,1,2,4,1,3,1,2,1,1,1,2,2,
1],[1,1,2,1,1,1,1,2,1],[1,1,6,4,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,1,1,
2,2,2,4,1,1,1,2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,4,1,2,
2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,2,8,1,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,
3,4,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,3,6,4,
1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,6,12,3,3,3,4,6,8,12,1,1,1,2,3,3,3,3,
6,6,6,3,3,3,6,1],[1,1,2,4,8,3,1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,
6,4,8,1,1,3,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,8,
1,3,1,2,4,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,3,1,1,2,2,2,1,1,1,2,2,2,
2,1,1,1,1],[1,1,6,4,1,1,3,4,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,1,3,1,2,2,2,1,
1,1,2,2,2,2,1,1,1,1],[1,1,6,12,4,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,
1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,
6,12,8,3,3,3,4,6,2,2,8,4,4,4,12,1,1,1,2,3,3,3,3,2,6,6,6,2,2,2,2,2,4,4,4,4,1,1,
1,3,3,3,1,2,2,2,2,2,2,6,1,1,1,1,1,1,1,1],[1,1,6,12,16,3,3,3,4,6,8,12,16,1,1,1,
2,3,3,3,3,6,6,6,4,8,3,3,3,6,4,4,4,8,1,1],[1,1,6,12,24,16,3,3,3,4,6,6,6,8,12,
12,12,12,16,16,16,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,4,8,16,3,3,3,
3,3,3,3,6,6,6,6,6,6,6,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1]],
[1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,24,24,24,24,24,24,
32,32,32,32,32,32,32,48,48,48,64,96,192],
[78,78,68,59,35,45,76,76,76,73,66,68,68,65,54,46,53,54,45,45,45,78,78,78,77,
76,76,76,76,67,66,66,66,68,68,69,67,69,54,53,53,54,73,65,45,76,76,76,76,76,76,
76,68,68,67,67,69,69,66,73,73,74,75,73,65,78,76,76,76,76,76,76,73,74,75,76,78,
78],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,1,2,1,2,1,2,1,1,2,2,2,2,1,1,1,2,1,1,
3,3,3,3,10,14,6,2,2,1,2,2,2,2,3,3,7,7,8,8,2,10,43,22,24,43,14,2,7,9,8,7,9,8,
43,62,63,27,66,77],
[( 2,10, 7, 3,12,11)( 4, 5)( 6, 8, 9),(1,6,9,8)(2,5,3,4)],
[[[[]]],[[[1,-3]]],[[[1,-3,2,-2]]],[[[1,2],[3,1,2,-1,3,-1,1,1,2,1]]],[[[1,2],[
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1]],[[1,1,2,-1,1,-1,2,-1,1,-2]]],[[[2,-2]],[[1,1,2,-1,1,1]]],[[[2,-1]],[[1,1,
2,-1,1,-1,2,-1,1,-2]]],[[[2,-2]],[[1,1,2,1,1,1,2,1]],[[2,1,1,1,2,1,1,-2]]],[[[
2,-2]],[[1,1,2,-2,1,-1]],[[1,2,2,-1,1,-1,2,-1]]],[[[2,-2]],[[1,1,2,-1,1,1,2,
1]],[[1,2,2,1,1,-1,2,-1]]],[[[2,-2]],[[1,1,2,1,1,1]]],[[[2,-2]],[[1,1,2,-2,1,
-1]],[[2,1,1,-1,2,-1,1,1,2,1,1,2]]],[[[2,-1]],[[1,-3]],[[1,1,2,1,1,-1,2,-1,1,
-2]]],[[[1,1,2,-1,1,1]],[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,1,1,1,2,1]],[[2,1,1,-1,
2,-2,1,1]]],[[[1,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[3,2,2,1]],[[2,
1,1,-1,2,1,1,2]]],[[[2,-2]],[[1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,1,1,-2]]],[[[1,
1]],[[2,-2]]],[[[1,1,2,-2]],[[2,1,1,-1,2,-1,1,1,2,1]]],[[[1,-1]],[[2,1,1,1,2,
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1]],[[1,1,2,-1,1,1,2,1]]],[[[2,-2]],[[1,1,2,1,1,1,2,1]],[[1,1,2,-2,1,-1]],[[2,
1,1,1,2,1,1,-2]]],[[[2,-2]],[[1,1,2,-1,1,1]],[[1,1,2,1,1,1,2,1]]],[[[2,-1]],[[
1,1,2,-2,1,-1]],[[1,1,2,-1,1,-1,2,-1,1,-2]]],[[[2,-2]],[[1,1,2,1,1,1]],[[1,1,
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1,-1,2,-2]]],[[[1,-1]],[[2,1,1,1,2,-2]]],[[[2,1]],[[1,1,2,1,1,1]],[[1,1,2,-1,
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LIBTOM( "4^2:D12",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,2,9],[1,2,10],[1,2,3,11],[
1,2,6,12],[1,2,5,13],[1,2,14],[1,2,4,15],[1,2,16],[1,2,4,17],[1,4,5,6,18],[1,
3,5,6,19],[1,3,7,20],[1,5,7,21],[1,6,7,22],[1,2,3,8,11,23],[1,2,4,8,15,17,
24],[1,2,6,9,12,25],[1,2,9,16,26],[1,2,8,9,10,27],[1,2,10,14,28],[1,2,5,10,13,
29],[1,2,3,5,11,13,16,30],[1,2,4,5,6,12,13,15,18,31],[1,2,3,5,6,11,12,13,19,
32],[1,2,4,10,17,33],[1,2,3,11,14,16,34],[1,2,4,9,17,35],[1,2,3,4,10,11,15,
36],[1,2,3,6,11,12,14,37],[1,2,4,14,15,16,38],[1,2,4,6,12,14,15,39],[1,2,4,5,
13,15,16,40],[1,2,5,9,13,14,41],[1,2,5,8,13,14,42],[1,2,9,43],[1,2,6,8,12,16,
44],[1,2,6,10,12,16,45],[1,2,3,4,9,11,15,46],[1,2,10,47],[1,2,7,8,48],[1,3,5,
6,7,19,20,21,22,49],[1,2,8,9,10,27,50],[1,2,4,8,9,10,15,17,24,27,33,35,51],[1,
2,8,9,10,27,43,52],[1,2,3,4,8,9,10,11,15,17,23,24,27,36,46,53],[1,2,8,9,10,27,
47,54],[1,2,5,8,9,10,13,14,27,28,29,41,42,55],[1,2,6,8,9,10,12,16,25,26,27,44,
45,56],[1,2,4,5,10,13,17,29,33,47,57],[1,2,3,4,5,9,11,13,14,15,16,26,30,34,38,
40,41,46,58],[1,2,4,9,16,17,26,35,43,59],[1,2,3,4,5,6,10,11,12,13,15,16,18,19,
29,30,31,32,36,40,45,60],[1,2,3,4,5,6,9,11,12,13,14,15,18,19,25,31,32,37,39,
41,46,61],[1,2,3,5,6,8,11,12,13,14,16,19,23,30,32,34,37,42,44,62],[1,2,4,5,6,
8,12,13,14,15,16,17,18,24,31,38,39,40,42,44,63],[1,2,4,10,14,17,28,33,47,64],[
1,2,4,6,9,12,17,25,35,43,65],[1,2,3,4,6,10,11,12,14,15,16,28,34,36,37,38,39,
45,66],[1,2,3,7,8,11,20,23,48,67],[1,2,6,7,8,12,16,22,44,48,68],[1,2,5,7,8,13,
14,21,42,48,69],[1,2,3,4,8,9,10,11,15,17,23,24,27,33,35,36,46,50,51,53,70],[1,
2,4,6,8,9,10,12,15,16,17,24,25,26,27,33,35,43,44,45,51,52,56,59,65,71],[1,2,4,
5,8,9,10,13,14,15,17,24,27,28,29,33,35,41,42,47,51,54,55,57,64,72],[1,2,3,4,5,
6,8,9,10,11,12,13,14,15,16,17,18,19,23,24,25,26,27,28,29,30,31,32,34,36,37,38,
39,40,41,42,44,45,46,53,55,56,58,60,61,62,63,66,73],[1,2,3,4,8,9,10,11,15,17,
23,24,27,36,43,46,47,52,53,54,74],[1,2,5,8,9,10,13,14,27,28,29,41,42,43,50,52,
55,75],[1,2,6,8,9,10,12,16,25,26,27,44,45,47,50,54,56,76],[1,2,7,8,9,10,27,48,
50,77],[1,2,3,5,6,7,8,11,12,13,14,16,19,20,21,22,23,30,32,34,37,42,44,48,49,
62,67,68,69,78],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,70,71,72,73,74,75,76,79],[1,2,3,4,7,8,9,10,
11,15,17,20,23,24,27,33,35,36,46,48,50,51,53,67,70,77,80],[1,2,5,7,8,9,10,13,
14,21,27,28,29,41,42,43,48,50,52,55,69,75,77,81],[1,2,6,7,8,9,10,12,16,22,25,
26,27,44,45,47,48,50,54,56,68,76,77,82],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[
1,1,2,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,
1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,4,1,6,1],[1,3,4,1,2,4,1],[1,1,4,1,2,1],[
1,1,1,2,1],[1,3,1,1,1,1],[1,1,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,2,
2,1,1,1,4,1],[1,1,2,2,2,1,1,1,4,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,4,1,2,
1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,
1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,3,4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,1,
3,3,3,1],[1,3,8,1,1,1,4,8,2,1,2,2,1],[1,3,1,1,1,1,2,1],[1,3,4,4,1,1,1,6,2,4,1,
1,1,2,2,1],[1,3,1,1,1,1,2,1],[1,3,4,1,1,1,2,2,1,1,1,2,2,1],[1,3,4,1,1,1,2,2,1,
1,1,2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,
1,4,1,2,2,1,1,1,1],[1,1,2,2,4,2,1,1,1,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,
1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,6,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,
3,4,2,2,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,
1,1,1,1],[1,1,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,12,1,3,3,6,6,12,1,3,3,6,6,6,6,
1,3,3,1],[1,3,8,4,1,1,1,2,4,2,8,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,8,4,1,1,1,
2,2,4,8,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,4,4,4,4,1,1,1,6,2,2,2,2,2,4,8,8,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,3,4,4,1,1,1,6,
2,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,1,3,3,2,2,3,1,1,2,2,2,1,1,1,1],[1,3,4,1,3,3,
2,2,1,1,3,2,2,2,1,1,1,1],[1,3,16,1,3,3,3,4,1,1],[1,3,4,6,6,4,1,6,3,3,3,3,12,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,12,4,4,1,3,3,6,2,2,2,6,2,12,8,8,1,3,1,
1,3,1,1,2,2,2,6,2,6,6,2,2,2,2,2,2,2,2,2,6,2,1,3,1,3,1,1,1,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,3,4,12,16,1,3,3,6,6,12,16,1,3,3,6,6,6,6,4,1,3,3,4,1,1,1],[
1,3,12,16,1,3,3,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,12,16,1,3,3,6,6,16,3,
3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,4,12,12,12,16,1,3,3,6,6,6,6,6,6,12,24,24,16,
16,16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,16,1,3,3,3,3,3,3,6,
6,6,6,6,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1]],
[1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,24,
24,24,32,32,32,32,32,32,32,48,48,64,96,96,96,192],
[83,79,78,63,61,60,49,83,79,79,73,73,73,73,73,73,51,31,32,49,49,49,83,79,79,
79,79,79,79,73,73,73,72,73,71,73,73,73,73,73,73,73,71,73,73,73,72,78,49,83,79,
79,79,79,79,79,72,73,71,73,73,73,73,72,71,73,78,78,78,83,79,79,79,79,79,79,83,
78,79,83,83,83,83],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,1,1,2,2,1,2,2,2,1,1,2,1,2,2,2,1,
2,2,1,2,1,2,1,2,1,8,7,1,2,2,2,2,2,2,10,2,9,2,2,2,2,10,9,2,8,48,48,8,9,10,2,8,
10,9,50,48,27,50,77,77,77],
[( 1, 2,12, 4,10, 5)( 3, 6, 8, 9, 7,11),( 1, 6)( 2, 9)( 3,11)( 4, 7)( 5,10)
( 8,12)],
[[[[]]],[[[1,2],[2,1,3,1,1,1,2,1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,-1,2,1,1,2,3,
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1,2],[2,1,3,1,1,1,2,1,3,1,1,1]]],[[[1,1,2,1,1,-1,2,1,1,-2]]],[[[1,1,2,1,1,2,2,
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1,1,1],[3,1,2,1,1,-1,3,1]]],[[[2,1,1,-3]]],[[[1,2],[2,1,3,1,1,1,2,1,3,1,1,
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2,1,3,1,1,1,2,1,3,1,1,1]],[[1,2,2,1,1,-1,2,1]]],[[[2,1,1,1],[2,1,3,-1,1,2,3,
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1,2,2,1,1,1]]],[[[2,1,1,-1,2,1,1,-2,2,1,1,-1]],[[2,1,1,1],[3,1,2,1,1,-1,3,
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1]]],[[[2,1,1,1],[3,1,2,1,1,-1,3,1]],[[1,-3]],[[2,1,1,-3,2,1]]],[[[2,1,1,-1,2,
1,1,2]],[[1,2,2,1,1,-1,2,1]]],[[[1,1,2,1,1,-3,2,1,1,-1]],[[2,1,1,-3]]],[[[1,1,
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-1,2,1,1,-2,2,1,1,-1]],[[2,1,1,-3]]],[[[1,2],[1,1,2,1,3,1,2,1,3,-1]],[[2,
1]]],[[[1,2],[1,1,2,1,3,1,2,1,3,-1]],[[2,1,1,1],[3,1,2,1,1,-1,3,1]]],[[[1,1,2,
1,1,-1,2,1,1,-2]],[[2,1,1,-3]]],[[[1,1,2,1],[3,2,1,2,2,1,1,-1]],[[2,1,1,1],[3,
1,2,1,1,-1,3,1]]],[[[1,2],[3,-1,2,1,1,1]]],[[[2,1,1,1,2,1,1,-1,2,1,1,-2]],[[2,
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1,3,1,2,1,3,-1]],[[1,1,2,1,1,-1,2,1,1,-2]]],[[[2,1,1,-1,2,1,1,-1,2,1]]],[[[1,
2],[2,1,3,-1,2,1,3,1]],[[2,1,1,1,2,1,1,-1]]],[[[1,2],[3,1,2,1,3,1,2,1,1,1]],[[
2,1]]],[[[1,1,2,1,1,1,2,1]],[[2,1,1,1,2,1,1,1]]],[[[2,1,1,-1,2,1,1,2]],[[1,2,
2,1,1,-1,2,1]],[[1,1,2,1,1,-2,2,1]]],[[[1,2],[3,-1,2,1,1,1]],[[1,1,2,1,1,
-2]]],[[[2,1,1,-3,2,1]],[[2,1,1,1,2,1,1,1]],[[1,-3]]],[[[1,1,2,1],[2,1,3,
2]],[[1,1,2,1,1,1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[1,-3,2,1]],[[1,2,2,1,1,1,2,1,
1,-1]]],[[[1,1,2,1,1,2,2,1,1,1]],[[2,1]],[[1,2,2,1,1,1,2,1,1,-1]]],[[[1,2,2,1,
1,-1,2,1]],[[1,1,2,1,1,1]]],[[[1,2],[1,1,2,1,3,1,2,1,3,-1]],[[2,1,1,-3]],[[1,
2,2,1,1,1,2,1,1,-1]]],[[[1,2],[3,-1,2,1,1,1]],[[1,2,2,1,1,-1,2,1]]],[[[1,1,2,
1,1,2,2,1,1,1]],[[2,1]],[[1,1,2,1,1,-1,2,1,1,1]]],[[[1,1,2,1,1,-1,2,1,1,1]],[[
1,-3]],[[2,1]]],[[[2,1,1,-1,2,1,1,-2,2,1,1,-1]],[[1,-3]],[[2,1,1,1],[3,1,2,1,
1,-1,3,1]]],[[[2,1,1,-2,2,1,1,1]],[[1,1,2,1,1,-1]],[[1,2,2,1,1,-1,2,1]]],[[[1,
2,2,1,1,-1,2,1]],[[1,-3,2,1]]],[[[1,2,2,1,1,-1]],[[2,1]]],[[[1,1,2,1,1,2,2,1,
1,1]],[[1,-3,2,1]],[[1,1,2,1,1,-1,2,1,1,1]]],[[[2,1,1,1,2,1,1,-1]],[[1,
-3]]],[[[2,1,1,1],[1,2,3,2]],[[2,1]]],[[[1,1,2,1,1,-1,2,1]],[[1,-3,2,1]]],[[[
1,1,2,1,1,1,2,1]],[[2,1,1,1,2,1,1,1]],[[1,-3]]],[[[2,1,1,-1,2,1,1,2]],[[2,
1]],[[1,2,2,1,1,-1]]],[[[1,2,2,1,1,-1,2,1]],[[1,1,2,1,1,1]],[[2,1,1,-3]]],[[[
2,1,1,-3,2,1]],[[1,1,2,1,1,2]],[[1,-3]],[[1,2,2,1,1,-1,2,1]]],[[[1,-3]],[[2,1,
1,1]]],[[[1,-3,2,1]],[[2,1,1,1,2,1,1,1]]],[[[1,1,2,1,1,1]],[[2,1]]],[[[2,1,1,
1,2,1,1,1]],[[1,2]]],[[[1,-3]],[[2,1]],[[1,1,2,1,1,-1]]],[[[1,1,2,1,1,1]],[[2,
1]],[[1,-3]]],[[[2,1,1,1,2,1]],[[1,1]]],[[[1,-2]],[[2,1,1,1]]],[[[1,-2]],[[2,
1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "A4xS3",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,3,8],[1,2,3,4,9],[1,3,4,10],[1,2,
5,11],[1,3,5,12],[1,4,5,13],[1,2,6,14],[1,2,3,4,8,9,10,15],[1,5,6,7,16],[1,3,
6,8,17],[1,3,5,8,12,18],[1,3,7,8,19],[1,3,4,5,10,12,13,20],[1,2,3,4,5,9,11,12,
13,21],[1,2,5,6,7,11,14,16,22],[1,2,3,4,5,8,9,10,11,12,13,15,18,20,21,23],[1,
2,3,4,6,8,9,10,14,15,17,24],[1,3,5,6,7,8,12,16,17,18,19,25],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1,1,1],[1,1,2,1],[1,3,
1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,3,3,1,3,3,1],[1,1,1,2,1],[1,3,4,1,1],[
1,3,1,1,3,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,3,1,3,1,3,1,1,1,1],[1,3,1,1,2,1,
3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,1,4,8,
1,3,4,1,1,2,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1]],
[1,2,2,2,3,3,3,4,4,4,6,6,6,6,8,9,12,12,12,12,12,18,24,24,36,72],
[26,24,23,15,26,22,16,26,15,15,26,23,23,14,24,22,26,26,25,23,23,22,26,24,26,
26],
[1,1,1,1,1,1,1,1,1,1,5,1,5,1,1,1,8,1,8,5,5,5,5,8,8,18],
[( 2,11)( 3, 5,12)( 4,10, 9, 8, 7, 6),( 1, 4, 6)( 2, 8, 3)( 5, 9,11)
( 7,10,12)],
[[[[]]],[[[1,-3]]],[[[1,1,2,1],[3,1,1,2,3,1]]],[[[1,2],[1,1,2,1,3,-1,2,-1,3,
-1]]],[[[1,1,2,1,1,2,2,1,1,1]]],[[[1,-2]]],[[[1,2],[3,1,2,1,3,1]]],[[[1,1,2,
1],[3,1,1,2,3,1]],[[1,1,2,1],[3,2,1,2]]],[[[1,-3]],[[1,1,2,1],[3,1,1,2,3,
1]]],[[[2,1,1,1,2,1]],[[1,1,2,1,1,2,2,-1]]],[[[1,-3]],[[2,1,1,-3,2,-1]]],[[[2,
1,1,2]]],[[[1,1,2,-1]],[[1,1,2,1,1,2,2,1,1,1]]],[[[1,1]]],[[[1,-3]],[[2,1,1,1,
2,1]],[[1,1,2,1,1,2,2,-1]]],[[[1,-2]],[[2,1,1,2,2,1]]],[[[1,-2]],[[2,-1,1,-2,
2,1]]],[[[1,2,2,1]],[[2,1,1,2]]],[[[1,2,2,-1]],[[2,-1,1,2]]],[[[2,-1,1,1]],[[
2,1,1,2]]],[[[1,1,2,-1]],[[1,-3]]],[[[1,-1]],[[2,1,1,2,2,1]]],[[[2,-1,1,1]],[[
1,1,2,-1]],[[1,-3]]],[[[1,-1]],[[2,1,1,1,2,1]]],[[[2,1]],[[1,2]]],[[[1,1]],[[
2,1]]]]);
LIBTOM( "M9:S3",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,3,7],[1,3,8],[1,2,5,9],[1,2,6,10],[1,
2,5,11],[1,3,5,12],[1,2,4,13],[1,2,4,14],[1,3,4,15],[1,3,8,16],[1,3,8,17],[1,
2,3,7,8,18],[1,5,19],[1,5,6,20],[1,4,5,21],[1,2,3,5,7,9,11,12,22],[1,2,3,4,7,
13,14,15,23],[1,2,3,7,8,16,17,18,24],[1,2,5,9,11,19,25],[1,3,5,12,19,26],[1,2,
4,5,9,14,21,27],[1,2,5,6,9,10,20,28],[1,2,4,5,11,13,21,29],[1,3,4,5,12,15,21,
30],[1,3,4,8,15,16,31],[1,4,5,6,19,20,21,32],[1,2,3,4,5,7,9,11,12,13,14,15,21,
22,23,27,29,30,33],[1,2,3,5,7,9,11,12,19,22,25,26,34],[1,3,5,8,12,19,26,35],[
1,2,3,4,7,8,13,14,15,16,17,18,23,24,31,36],[1,2,4,5,6,9,10,11,14,19,20,21,25,
27,28,32,37],[1,2,4,5,6,9,11,13,19,20,21,25,29,32,38],[1,3,4,5,6,12,15,19,20,
21,26,30,32,39],[1,3,5,8,12,17,19,26,35,40],[1,3,5,8,12,16,19,26,35,41],[1,2,
3,5,7,8,9,11,12,18,19,22,25,26,34,35,42],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,
19,20,21,22,23,25,26,27,28,29,30,32,33,34,37,38,39,43],[1,2,3,5,7,8,9,11,12,
16,17,18,19,22,24,25,26,34,35,40,41,42,44],[1,3,4,5,6,8,12,15,16,19,20,21,26,
30,31,32,35,39,41,45],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,2,1,1],[1,1,1],[1,1,1,1],[1,3,1,1],[1,
3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,3,1],[1,1,1,1],[1,4,1,2,1,
1],[1,4,1],[1,1,3,1],[1,3,1,1],[1,4,3,1,3,1,1,1,1],[1,6,1,1,3,1,1,1,1],[1,4,1,
2,3,1,1,1,1],[1,3,4,3,1,1,1],[1,9,4,12,1,1],[1,3,3,1,3,1,1,1],[1,3,1,3,3,1,1,
1],[1,9,3,1,3,9,1,1],[1,3,3,1,1,3,1,1],[1,1,4,3,4,1,1],[1,3,4,6,1,2,1,1],[1,
12,3,3,1,9,3,3,1,9,1,3,1,3,3,1,1,1,1],[1,6,9,4,9,6,2,12,1,6,2,1,1],[1,9,4,9,
12,1,1,1],[1,12,1,4,6,3,4,4,4,1,3,3,4,3,1,1],[1,9,3,4,6,9,6,3,3,1,2,1,3,3,6,1,
1],[1,9,3,4,6,9,3,9,1,2,1,3,1,1,1],[1,9,3,4,6,12,9,1,2,1,1,3,1,1],[1,9,4,9,12,
9,1,1,1,1],[1,9,4,27,12,9,1,1,3,1],[1,12,9,4,18,9,12,4,12,9,1,12,4,1,2,1,1],[
1,18,9,3,4,6,27,18,6,6,12,9,3,9,1,2,1,18,9,6,1,3,6,1,3,1,3,3,1,1,1,1],[1,12,9,
4,18,27,12,4,12,9,9,9,1,12,9,4,1,2,3,1,1,1,1],[1,9,12,4,24,27,12,36,9,1,8,4,1,
12,9,4,3,4,1,1],[1,36,9,12,4,24,54,27,36,24,12,12,36,12,36,9,27,27,1,8,4,36,
36,27,12,1,12,24,4,12,9,4,12,6,3,9,4,4,4,3,1,3,4,3,1,1]],
[1,2,2,3,3,3,4,4,6,6,6,6,6,6,6,8,8,8,9,9,9,12,12,16,18,18,18,18,18,18,24,27,
36,36,36,48,54,54,54,72,72,72,108,144,216,432],
[46,22,36,33,43,28,18,24,22,28,34,33,23,33,23,36,24,24,46,37,43,22,23,24,34,
46,33,28,43,33,36,43,33,42,44,36,43,43,43,44,46,44,43,44,46,46],
[1,1,1,1,1,1,1,1,1,6,5,5,4,4,1,3,1,3,1,1,1,5,4,8,5,19,4,6,21,5,16,5,21,19,19,
31,32,21,19,19,26,26,32,35,41,45],
[( 1,11)( 3, 4)( 5,10)( 6, 9),( 1,11, 4)( 2, 9, 3)( 5,10,12)( 6, 8, 7)],
[[[[]]],[[[1,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,
-1,3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[4,1,5,-1,4,1,5,-1]]],[[[2,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-1]],[[1,1,2,1],[3,1,1,1,
2,1,1,1,2,1,3,1]]],[[[1,1,2,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,3,-2]]],[[[1,1,
2,1],[2,1,1,1],[3,2,4,-2,1,1,3,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[
3,2],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,
-1,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,2,1,3,2]]],[[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-2,3,2,4,-1]],[[1,1,2,1,1,1,2,1]]],[[[1,1,2,1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
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1,1],[2,1,3,1,4,2,3,-1]]],[[[2,1,1,1],[2,-1,1,1,2,-1,3,-2]],[[1,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,-1]],[[2,1,1,1],[3,2,2,-1,1,1,2,1,1,
1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1,1,1,2,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,4,1,2,1,4,-1,3,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,
-1,5,1,4,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,1,1,2,1,1,
1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,2,3,-1]],[[1,1,2,1],[1,1,2,-1,3,
2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2,2,-1]],[[2,-1,1,1,2,-1,1,1,2,1]]],[[[2,
1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,
2,3,-1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,1]],[[2,1,1,1],[1,
1,2,-1,1,1,2,1,3,-2]]],[[[2,1,1,1],[3,2,2,-1,1,1,2,1,1,1]],[[2,-1,1,1,2,-1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-2,2,-1]],[[2,-1,1,1,2,-1,1,1,2,1]]],[[[1,1,
2,1],[1,1,2,-1,3,2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,
-1,4,-1]],[[1,1,2,1],[2,1,1,1,2,1,3,2]],[[1,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,
-1,3,-2]],[[2,-1,1,1,2,1,1,1,2,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,
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1]]],[[[2,-1,1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,-1,3,2]],[[1,
1,2,1,1,1,2,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1]],[[2,-1,1,1,2,-1]]],[[[1,1,2,1,1,
1,2,1]],[[2,1,1,1,2,1,1,1]]],[[[2,-1,1,1,2,1,1,1,2,-1]],[[1,1]]],[[[1,1,2,1],[
2,-1,3,2]],[[2,1,1,1,2,-1]],[[1,1]]],[[[2,-1,1,1,2,-1]],[[1,1]]],[[[1,1,2,-1,
1,1]],[[2,-1]]],[[[1,1]],[[2,1]]]]);
LIBTOM( "2xS5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,5,8],[1,2,3,4,9],[1,4,5,10],[1,2,
5,6,11],[1,5,6,12],[1,5,13],[1,3,5,14],[1,5,15],[1,3,4,6,16],[1,17],[1,4,7,
18],[1,3,7,19],[1,5,7,20],[1,4,7,21],[1,3,7,22],[1,2,7,23],[1,6,7,24],[1,2,5,
6,8,11,12,25],[1,4,5,8,10,15,26],[1,4,5,6,10,12,13,27],[1,2,3,4,5,6,9,10,11,
14,16,28],[1,3,5,8,13,14,29],[1,3,5,6,12,14,15,30],[1,2,5,6,11,13,15,31],[1,2,
17,32],[1,5,17,33],[1,6,17,34],[1,5,7,8,35],[1,4,5,7,10,18,20,21,36],[1,3,4,6,
7,16,18,19,24,37],[1,2,3,4,7,9,19,21,23,38],[1,2,3,4,7,9,18,22,23,39],[1,2,5,
6,7,11,20,23,24,40],[1,3,4,6,7,16,21,22,24,41],[1,3,5,7,14,19,20,22,42],[1,2,
3,4,5,6,8,9,10,11,12,13,14,15,16,25,26,27,28,29,30,31,43],[1,2,5,6,11,17,32,
33,34,44],[1,5,15,17,33,45],[1,5,13,17,33,46],[1,2,5,6,7,8,11,12,23,25,35,
47],[1,4,5,7,8,10,15,21,26,35,48],[1,3,5,7,8,13,14,19,29,35,49],[1,2,3,4,5,6,
7,9,10,11,14,16,18,19,20,21,22,23,24,28,36,37,38,39,40,41,42,50],[1,2,5,6,11,
13,15,17,31,32,33,34,44,45,46,51],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,
21,23,25,26,27,28,29,30,31,35,38,43,47,48,49,52],[1,5,7,8,17,20,33,35,53],[1,
4,5,7,8,10,15,17,18,20,21,26,33,35,36,45,48,53,54],[1,2,5,6,7,8,11,12,17,20,
23,24,25,32,33,34,35,40,44,47,53,55],[1,3,5,7,8,13,14,17,19,20,22,29,33,35,42,
46,49,53,56],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1,1,1],[1,2,1,1],[1,1,
1,1,1],[1,1,2,1],[1,1,1],[1,2,1,1],[1,1,1],[1,1,1,1,1],[1,1],[1,1,1,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,3,3,1,3,3,1],[1,2,3,
1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,2,1,1,1,2,1],[1,2,3,1,1,1,1],[1,2,1,2,
1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,3,4,1,1],[1,4,3,1,
3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[
1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,2,2,3,3,1,
2,1,3,3,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,
1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,
1],[1,1,4,4,3,3,1,4,3,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,5,5,5,5,5,1,
5,1,1,1,1,1,1,1],[1,1,6,6,3,3,4,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,15,10,5,6,10,6,5,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,
6,10,10,10,15,6,5,10,6,5,1,1],[1,1,10,10,15,15,10,5,10,15,15,15,15,15,15,30,6,
10,10,10,10,10,10,10,5,15,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,10,15,6,6,
6,5,5,5,10,6,5,1,1,1,1,1]],
[1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,8,8,8,8,8,8,8,10,10,10,12,12,
12,12,12,12,12,12,16,20,20,20,24,24,24,24,40,48,60,120,120,120,240],
[57,57,50,50,43,43,50,52,50,43,43,43,43,43,43,28,51,50,50,50,50,50,50,50,52,
43,43,43,43,43,43,51,51,51,52,50,50,50,50,50,50,50,43,51,51,51,52,52,52,50,51,
52,57,57,57,57,57],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,7,1,1,7,1,5,5,1,5,5,1,1,17,17,8,7,7,
7,1,7,7,7,5,17,17,17,8,35,35,7,17,35,53,53,53,53,53],
[( 1, 4, 2, 6, 8,11)( 3, 5, 7, 9,10,12),( 1,10, 8, 7, 6,12)( 2, 9, 4, 5,11, 3
)],
[[[[]]],[[[1,1,2,1],[2,1,3,1,1,2,3,2,2,1]]],[[[1,1,2,1],[2,1,3,2]]],[[[1,
-3]]],[[[1,2,2,2]]],[[[1,1,2,-1]]],[[[1,2]]],[[[2,1,1,-1,2,-1,1,1,2,2]],[[2,1,
1,2,2,1]]],[[[1,1,2,1],[3,2,2,1]],[[2,1,1,1,2,1,1,2]]],[[[2,1,1,-1,2,-1,1,1,2,
2]],[[2,1,1,1,2,1,1,2]]],[[[2,1,1,-1,2,-1,1,1,2,2]],[[1,2],[3,-1,2,1,1,
1]]],[[[2,1,1,-1,2,-1,1,1,2,2]],[[1,2,2,-1,1,-1]]],[[[2,1,1,2]]],[[[1,1,2,1],[
3,2,2,1]],[[1,1,2,2,1,1,2,-1]]],[[[2,1,1,1,2,1]]],[[[1,2],[3,-1,1,1,2,1]],[[2,
1,1,1,2,1,1,2]]],[[[2,1,1,1,2,1,1,1]]],[[[1,1]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[
1,1,2,1],[2,1,3,2]]],[[[2,1,1,2,2,1]],[[1,1,2,2,1,1]]],[[[1,1,2,1],[3,1,1,-2,
3,-1]],[[1,-3]]],[[[2,1]]],[[[2,2,1,-2,2,-1,1,-1]]],[[[1,2],[2,2,1,1,3,1,2,1,
3,1]],[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[2,1,1,-1,2,-1,1,1,2,2]],[[2,1,1,2,2,
1]],[[1,2],[3,-1,2,1,1,1]]],[[[1,-3,2,2]],[[2,1,1,2,2,1]]],[[[2,1,1,1,2,1,1,
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1,2,-1]]],[[[2,1,1,-1,2,-1,1,1,2,2]],[[1,1,2,1],[2,1,3,-2]],[[2,1,1,2,2,
1]]],[[[1,-3,2,2]],[[1,2,2,-1,1,-1]]],[[[1,2],[3,-1,2,1,1,1]],[[1,-3,2,
2]]],[[[1,1,2,1]]],[[[2,2,1,2]],[[1,1,2,2,1,1]]],[[[1,2],[3,-1,2,1,1,1]],[[1,
1,2,-1]]],[[[2,1,1,2,2,1]],[[2,-2]]],[[[2,2,1,1,2,-2]],[[1,1,2,1,1,2,2,
1]]],[[[2,2,1,1,2,-2]],[[1,2],[3,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,2]],[[1,
-3]]],[[[1,2],[3,1,2,1,3,-1]],[[2,1,1,1,2,1,1,2]]],[[[1,-3,2,-3]],[[1,1,2,2,1,
1]]],[[[2,1,1,1,2,-1,1,-1,2,-1]],[[1,-3]]],[[[2,1,1,1,2,-1,1,-1,2,-1]],[[1,1,
2,2,1,1]]],[[[1,-3,2,2]],[[2,1,1,2,2,1]],[[1,2,2,-1,1,-1]]],[[[2,2,1,2]],[[1,
1,2,-1]]],[[[2,2,1,2]],[[2,1,1,1,2,1]]],[[[2,2,1,2]],[[1,2,2,1]]],[[[1,2,2,-1,
1,-1]],[[2,-2]]],[[[1,-3]],[[2,2]]],[[[1,1,2,1],[2,1,3,-2]],[[2,-2]]],[[[1,
2],[3,-1,1,1,2,1]],[[1,2],[3,1,2,1,3,-1]],[[2,2,1,1,2,-2]]],[[[1,2,2,1]],[[1,
1,2,-1]]],[[[1,2,2,-1,1,-1]],[[2,2]],[[1,-3]]],[[[2,1,1,-2,2,1]],[[2,2]],[[1,
-2]]],[[[2,-2]],[[1,1]]],[[[1,1,2,-1]],[[1,-2]]],[[[1,-2]],[[2,-1]]],[[[1,
1]],[[2,1]]]]);
LIBTOM( "(2^2xA5):2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,2,3,9],[1,4,10],[1,2,6,11],[
1,2,12],[1,4,5,13],[1,5,7,14],[1,2,4,5,15],[1,2,7,16],[1,5,7,17],[1,4,6,18],[
1,3,5,7,19],[1,3,4,7,20],[1,5,21],[1,4,7,22],[1,4,23],[1,5,6,24],[1,25],[1,5,
8,26],[1,4,8,27],[1,2,8,28],[1,7,8,29],[1,3,8,30],[1,6,8,31],[1,6,8,32],[1,2,
4,5,10,13,15,33],[1,3,4,7,10,20,22,34],[1,2,3,6,9,11,12,35],[1,2,4,5,12,15,
36],[1,2,4,5,7,14,15,16,17,22,37],[1,2,4,5,15,23,38],[1,2,4,5,6,11,15,18,24,
39],[1,2,3,4,5,7,9,15,16,19,20,40],[1,2,4,5,15,21,41],[1,3,4,5,7,13,14,17,19,
20,22,42],[1,4,6,10,18,23,43],[1,4,5,6,13,18,23,44],[1,5,6,7,14,21,24,45],[1,
2,6,7,11,12,16,46],[1,5,6,7,17,21,24,47],[1,4,25,48],[1,2,25,49],[1,5,25,50],[
1,3,25,51],[1,7,25,52],[1,4,8,10,53],[1,2,3,8,9,28,30,54],[1,2,7,8,16,28,29,
55],[1,2,4,5,8,15,26,27,28,56],[1,2,6,8,11,28,32,57],[1,2,8,12,28,58],[1,2,6,
8,11,28,31,59],[1,2,8,12,28,60],[1,3,4,7,8,20,27,29,30,61],[1,3,5,7,8,19,26,
29,30,62],[1,5,6,8,24,26,31,32,63],[1,4,6,8,18,27,31,32,64],[1,2,3,4,5,7,9,10,
13,14,15,16,17,19,20,22,33,34,37,40,42,65],[1,2,4,5,10,12,13,15,21,33,36,41,
66],[1,2,3,4,5,6,7,9,11,12,15,16,18,19,20,24,35,36,39,40,46,67],[1,2,4,5,6,10,
11,13,15,18,23,24,33,38,39,43,44,68],[1,2,4,5,7,12,14,15,16,17,22,23,36,37,38,
69],[1,2,3,4,5,7,9,15,16,19,20,21,23,38,40,41,70],[1,2,4,5,6,7,11,14,15,16,17,
18,21,22,24,37,39,41,45,47,71],[1,2,7,16,25,49,52,72],[1,2,3,9,25,49,51,73],[
1,2,4,5,15,25,48,49,50,74],[1,5,21,25,50,75],[1,3,5,7,19,25,50,51,52,76],[1,4,
23,25,48,77],[1,3,4,7,20,25,48,51,52,78],[1,2,4,5,8,10,13,15,28,33,53,79],[1,
3,4,7,8,10,20,22,30,34,53,80],[1,4,6,8,10,18,23,31,43,53,81],[1,2,6,7,8,11,12,
16,28,29,32,46,55,57,58,82],[1,2,3,6,8,9,11,12,28,30,32,35,54,57,60,83],[1,2,
3,4,5,7,8,9,15,16,19,20,26,27,28,29,30,40,54,55,56,61,62,84],[1,2,4,5,6,8,11,
15,18,24,26,27,28,31,32,39,56,57,59,63,64,85],[1,2,6,7,8,11,12,16,28,29,31,46,
55,59,60,86],[1,2,3,6,8,9,11,12,28,30,31,35,54,58,59,87],[1,2,4,5,8,12,15,26,
27,28,36,56,58,60,88],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,65,66,67,68,69,70,71,89],[
1,2,3,4,5,7,9,15,16,19,20,25,40,48,49,50,51,52,72,73,74,76,78,90],[1,2,4,5,15,
23,25,38,48,49,50,74,77,91],[1,2,4,5,15,21,25,41,48,49,50,74,75,92],[1,2,4,5,
8,10,12,13,15,21,28,33,36,41,53,58,66,79,93],[1,2,3,4,5,7,8,9,10,13,14,15,16,
17,19,20,22,28,30,33,34,37,40,42,53,54,65,79,80,94],[1,2,4,5,6,8,10,11,13,15,
18,23,24,28,31,33,38,39,43,44,53,59,68,79,81,95],[1,2,3,4,5,6,7,8,9,11,12,15,
16,18,19,20,24,26,27,28,29,30,31,32,35,36,39,40,46,54,55,56,57,58,59,60,61,62,
63,64,67,82,83,84,85,86,87,88,96],[1,4,8,10,25,27,48,53,97],[1,2,3,4,5,7,9,15,
16,19,20,21,23,25,38,40,41,48,49,50,51,52,70,72,73,74,75,76,77,78,90,91,92,
98],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,28,30,31,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,53,54,58,59,65,66,67,68,69,70,71,
79,80,81,87,89,93,94,95,99],[1,2,4,5,8,10,13,15,25,26,27,28,33,48,49,50,53,56,
74,79,97,100],[1,4,6,8,10,18,23,25,27,31,32,43,48,53,64,77,81,97,101],[1,3,4,
7,8,10,20,22,25,27,29,30,34,48,51,52,53,61,78,80,97,102],[1,2,4,5,6,8,10,11,
13,15,18,23,24,25,26,27,28,31,32,33,38,39,43,44,48,49,50,53,56,57,59,63,64,68,
74,77,79,81,85,91,95,97,100,101,103],[1,2,4,5,8,10,12,13,15,21,25,26,27,28,33,
36,41,48,49,50,53,56,58,60,66,74,75,79,88,92,93,97,100,104],[1,2,3,4,5,7,8,9,
10,13,14,15,16,17,19,20,22,25,26,27,28,29,30,33,34,37,40,42,48,49,50,51,52,53,
54,55,56,61,62,65,72,73,74,76,78,79,80,84,90,94,97,100,102,105],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,2,1],[1,3,1],[1,1,2,1],[
1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,
1],[1,1,1,1,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1],[1,3,1,1],[1,3,1,1],[
1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,
3,3,1],[1,1,2,2,1,1,1,1],[1,1,1,1,2,1,1],[1,1,1,1,4,1,1,2,1,2,1],[1,1,1,1,1,2,
1],[1,1,1,1,4,2,1,2,2,1],[1,1,2,1,1,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,2,3,
1,1,1,2,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,
1,1,1],[1,1,2,2,1,1,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,
3,4,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,2,1,1,
1,2,1],[1,1,1,3,1,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,
1,3,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,2,3,3,6,1,1,3,
3,3,3,3,6,6,6,1,2,3,3,6,1],[1,1,3,3,1,2,3,3,2,1,1,1,1],[1,1,2,1,1,4,2,1,2,2,1,
1,2,2,2,2,2,1,1,1,2,1],[1,1,3,3,4,1,2,3,3,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,2,1,1,
2,1,2,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,4,2,1,1,2,1,2,
2,2,2,1,1,1,2,2,1],[1,1,10,5,1,1,2,1],[1,1,2,1,1,1,2,1],[1,1,5,5,5,1,1,1,1,
1],[1,5,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,
1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,
2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,2,3,3,6,1,
1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,3,3,8,1,4,3,6,6,1,1,1,2,2,3,1,1,1,2,2,
1],[1,1,6,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,3,
3,1,4,3,1,1,1,3,1,1,1,1],[1,1,2,3,3,4,6,1,1,2,2,3,3,3,3,3,2,6,6,2,6,2,2,1,2,2,
1,3,1,1,3,1,6,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,5,5,10,1,5,5,10,10,1,5,1,1,1,
2,2,1,1,1,2,2,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,
1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,1,2,3,3,6,4,1,1,3,3,3,3,3,6,6,6,
4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,3,3,12,4,1,6,3,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,
2,1],[1,1,2,3,3,8,6,1,1,4,4,3,3,6,6,6,6,1,1,1,2,2,2,2,4,3,3,3,6,1,1,1,1,1,1,1,
2,2,2,2,3,1,1,1,1,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,1,2,5,5,10,1,5,5,10,10,
10,10,1,5,5,5,1,1,1,2,2,5,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,3,3,12,6,4,1,1,6,6,3,
3,3,3,3,6,6,6,6,6,6,6,4,8,8,1,2,6,3,3,3,3,3,3,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,
3,1,2,2,4,3,1,1,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[
1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,
10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,20,10,5,10,15,15,30,30,30,6,10,10,10,
20,20,5,15,15,30,30,6,6,6,5,10,10,10,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,1,
15,15,10,5,10,15,15,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,
1,1],[1,1,2,15,15,30,10,1,5,15,15,15,15,15,30,30,30,6,10,10,10,20,20,5,10,15,
15,30,6,6,6,12,12,5,10,10,10,20,20,5,6,6,6,12,12,5,10,10,6,5,1,1,2,1],[1,1,2,
15,15,20,30,10,1,5,10,10,15,15,15,15,15,30,30,30,30,30,30,30,6,10,10,10,20,20,
20,20,5,10,10,15,15,15,15,15,15,30,30,30,30,30,30,6,6,6,12,12,5,10,10,10,10,
10,10,10,20,20,20,20,5,15,15,15,15,15,15,6,6,6,12,12,12,12,5,10,10,10,10,10,
10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1]],
[1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,10,10,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,
16,16,16,16,20,20,20,20,20,20,20,24,24,24,24,24,24,24,24,24,24,32,40,40,40,48,
48,48,48,60,80,96,120,120,120,240,240,240,480],
[106,106,105,89,89,85,65,96,106,99,96,96,89,89,89,89,89,68,65,65,71,65,68,71,
98,96,96,96,84,84,85,85,99,94,96,89,89,89,89,89,89,65,68,68,71,67,71,98,98,98,
90,90,99,96,96,96,96,96,96,96,84,84,85,85,99,89,89,89,89,89,89,98,98,98,92,90,
91,90,99,94,95,96,96,96,96,96,96,96,89,98,98,98,99,99,99,96,106,98,99,106,103,
105,106,106,106,106],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,8,1,8,1,8,1,1,1,2,1,1,1,
1,1,1,1,4,4,5,2,5,25,1,25,1,25,10,1,8,8,1,8,8,1,8,8,8,8,1,4,2,4,5,2,5,25,1,25,
25,25,25,25,10,10,53,28,2,8,8,28,28,8,15,25,25,25,53,10,53,28,97,49,79,97,97,
97,97,97,97,100],
[( 1,10,24,18)( 2,12, 5, 9)( 3,21,22, 8)( 4,14,13, 7)( 6,11,16,19)
(15,23,17,20),( 1,15)( 2, 6)( 3,16)( 4,19)( 5,18)( 7,17)( 8,23)( 9,20)(10,11)
(12,14)(13,22)(21,24)],
[[[[]]],[[[1,-2],[1,1,2,1],[2,1,1,1],[5,1,4,1,3,1,4,-1,5,1,4,1,3,1,5,1]]],[[[
1,-2],[1,1,2,1,3,1,2,1,3,1,2,1,1,1]]],[[[1,-2],[1,1,2,1],[3,1,2,1,4,1,3,1,2,1,
3,1,4,-1]]],[[[1,1,2,1],[3,2,1,-2,3,-2]]],[[[1,1,2,1],[1,-2,3,-2,2,1,1,
1]]],[[[1,1,2,1],[3,1,1,-1,2,1,1,1,3,-1]]],[[[1,-2],[1,1,2,1],[2,1,3,1,2,1,4,
1,3,1,4,1]]],[[[1,-2],[1,1,2,1,3,1,2,1,3,1,2,1,1,1]],[[1,-2],[2,1,1,-2,2,1,3,
1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,-1,2,1,3,2,1,-2]],[[1,1,2,1],[1,-2,2,1,1,1],[
3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,2,1,1]],[[1,-2],[1,1,2,1],[2,1,4,1],[4,
1,3,1,5,-1,3,1,5,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,2,1,1,1,3,-1]]],[[[1,1,2,1],[
3,2,1,-2,3,-2]],[[1,-2],[1,1,2,1],[3,1,2,1,4,1,3,1,2,1,3,1,4,-1]]],[[[1,-2],[
3,1,2,1,3,1]],[[1,1,2,1],[3,2,1,-2,3,-2]]],[[[2,1,1,-2,2,1]],[[1,-2],[1,1,2,
1],[3,1,2,1,4,1,3,1,2,1,3,1,4,-1]]],[[[1,-2],[1,1,2,1],[4,1,3,1,4,-1,2,1,4,1,
3,1,4,-1]],[[1,-2],[1,1,2,1],[4,2,3,1,4,-1,2,1,4,1,3,1]]],[[[1,1,2,1],[3,2,1,
-2,3,-2]],[[1,-2],[1,1,2,1],[4,1,3,1,4,-1,2,1,4,1,3,1,4,-1]]],[[[1,1,2,1],[2,
1,1,-1,3,-2]],[[1,1,2,1],[1,-2,3,-2,2,1,1,1]]],[[[1,1,2,1],[3,1,1,-1,2,1,1,1,
3,-1]],[[1,1,2,1],[3,2,1,-2,3,-2]]],[[[1,-2],[3,1,2,1,3,1]],[[1,-2],[1,1,2,1,
3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,3,-1,2,1,1,1]]],[[[1,1,2,1],[
3,1,1,-1,2,1,1,1,3,-1]],[[1,-2],[1,1,2,1],[3,1,2,1,4,1,3,1,2,1,3,1,4,-1]]],[[[
2,1,1,1],[3,1,2,1,1,-1,3,-1,1,-2]]],[[[1,1,2,1],[1,-2,3,-2,2,1,1,1]],[[1,-2],[
1,1,2,1],[2,1,4,1],[3,1,5,-1,4,2,3,1,5,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,
-2,4,-1,3,1]]],[[[1,-2],[3,1,1,1,2,1,3,1,2,1,1,1]],[[1,-2],[1,1,2,1],[2,1,3,1,
2,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,1,1,3,-2,2,1]],[[1,1,2,1],[3,1,1,-1,2,1,3,
2,1,-2]]],[[[1,-2],[1,1,2,1],[3,1,2,1,4,1,3,1,2,1,4,1]]],[[[1,1,2,1],[3,-3,1,
-2,2,1,3,1]],[[1,-2],[1,1,2,1],[2,1,3,1,2,1,4,1,3,1,4,1]]],[[[1,-2],[1,1,2,1,
3,1,2,1,3,1,2,1,1,1]],[[1,-2],[1,1,2,1],[2,1,3,1,2,1,4,1,3,1,4,1]]],[[[1,1,2,
1],[1,-2,2,1,3,2,2,1,3,-1]],[[1,-2],[1,1,2,1],[2,1,3,1,2,1,4,1,3,1,4,1]]],[[[
1,-2,2,1,1,1]]],[[[2,1,1,-2,2,1]],[[1,1,2,1],[3,2,1,-2,3,-2]],[[1,1,2,1],[1,
-2,2,1,1,1],[3,1,4,-1,3,1,4,1]]],[[[1,-2],[3,1,2,1,3,1]],[[1,1,2,1],[3,1,1,-1,
2,1,1,1,3,-1]],[[1,-2],[1,1,2,1,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[1,-2,3,-2,
2,1,1,1]],[[1,-2],[1,1,2,1,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,2,
1,1,1,3,-1]],[[1,-2],[1,1,2,1],[4,1,3,1,4,-1,2,1,4,1,3,1]]],[[[2,1,1,-2,2,
1]],[[1,1,2,1],[3,1,1,-1,2,1,1,1,3,-1]],[[1,-2],[1,1,2,1],[3,1,2,1,4,1,3,1,2,
1,3,1,4,-1]]],[[[2,1,1,-2,2,1]],[[2,1,1,1],[3,1,2,1,1,-1,3,-1,1,-2]]],[[[1,1,
2,1],[2,1,1,-1,3,-2]],[[1,1,2,1],[1,-2,3,-2,2,1,1,1]],[[1,-2],[1,1,2,1],[2,1,
4,1],[3,1,5,-1,4,2,3,1,5,-1]]],[[[2,1,1,-2,2,1]],[[1,-2],[3,1,2,1,3,1]],[[1,
-2],[1,1,2,1,3,1,2,1,3,1,2,1,1,1]]],[[[2,1,1,1,2,1]],[[1,-2],[1,1,2,1],[3,1,2,
1,4,1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[3,1,1,-1,2,1,1,1,3,-1]],[[1,1,2,1],[3,
2,1,-2,3,-2]],[[1,-2],[1,1,2,1],[3,1,2,1,4,1,3,1,2,1,3,1,4,-1]]],[[[2,1,1,1],[
3,1,2,1,1,-1,3,-1,1,-2]],[[1,1,2,1],[3,1,1,-1,2,1,3,2,1,-2]]],[[[2,1,1,1],[3,
1,2,1,1,-1,3,-1,1,-2]],[[1,1,2,1],[3,2,1,-2,3,-2]]],[[[2,1,1,1,2,1]],[[1,-2],[
1,1,2,1],[4,1,3,1,4,-1,2,1,4,1,3,1,4,-1]]],[[[1,1,2,1],[1,-2,3,-2,2,1,1,1]],[[
1,1,2,1],[2,1,3,1,1,-2,2,1,1,1,3,-1]]],[[[1,1,2,1],[3,1,1,-1,2,1,1,1,3,-1]],[[
1,-2],[1,1,2,1],[3,1,2,1,3,1,4,-2,1,-1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,1,3,-2,2,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,-2,4,-1,3,1]]],[[[2,1,1,1],[1,-2,3,
2]]],[[[2,1,1,-2,2,1]],[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[2,1,1,-2,2,1,1,-1,2,1,
1,1]]],[[[1,-2],[3,1,2,1,3,1]],[[1,1,2,1],[3,-3,1,-2,2,1,3,1]]],[[[1,1,2,1,1,
-1,2,1,1,-2]],[[1,1,2,1,1,-2,2,1,1,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,-2]],[[1,
-2],[1,1,2,1,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1,1,-1]],[[1,1,2,1],[3,-3,1,-2,2,
1,3,1]]],[[[1,1,2,1],[3,1,1,1,3,-2,2,1]],[[1,-2],[3,1,1,1,2,1,3,1,2,1,1,
1]]],[[[1,1,2,1],[3,2,1,-2,2,1,1,-1]],[[1,-2],[1,1,2,1],[3,1,2,1,3,1,4,-1,2,1,
4,1]]],[[[1,1,2,1],[2,1,3,1,1,-2,2,1,1,1,3,-1]],[[1,-2],[1,1,2,1],[3,1,2,1,4,
1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,1,-1,3,-2]],[[1,1,2,1],[1,-2,2,1,3,2,2,1,3,
-1]]],[[[2,1,1,-1,2,1,1,-2]]],[[[1,1,2,1],[3,1,1,-1,2,1,3,2,1,-2]],[[1,1,2,
1],[3,-3,1,-2,2,1,3,1]]],[[[2,1,1,1,2,1,1,1,2,1,1,-2]],[[1,-2],[3,1,1,1,2,1,3,
1,2,1,1,1]]],[[[2,1,1,-2,2,1]],[[1,1,2,1],[1,-2,2,1,3,2,2,1,3,-1]]],[[[1,1,2,
1],[1,-2,3,-2,2,1,1,1]],[[1,-2],[1,1,2,1],[2,1,4,2,3,1,2,1,3,1]]],[[[2,1,1,-2,
2,1]],[[1,-2],[3,1,2,1,3,1]],[[1,1,2,1],[3,1,1,-1,2,1,1,1,3,-1]],[[1,-2],[1,1,
2,1,3,1,2,1,3,1,2,1,1,1]]],[[[2,1,1,1,2,1]],[[1,1,2,1],[3,2,1,-2,3,-2]]],[[[1,
1,2,1],[2,1,1,-1,3,-2]],[[1,1,2,1],[1,-2,3,-2,2,1,1,1]],[[1,-2],[1,1,2,1,3,1,
2,1,3,1,2,1,1,1]]],[[[2,1,1,-2,2,1]],[[2,1,1,1],[3,1,2,1,1,-1,3,-1,1,-2]],[[1,
1,2,1],[3,2,1,-2,3,-2]]],[[[1,1,2,1],[3,1,1,-1,2,1,1,1,3,-1]],[[2,1,1,1],[3,1,
2,1,1,-1,3,-1,1,-2]]],[[[2,1,1,-1,2,1]],[[1,-2],[3,1,2,1,3,1]]],[[[2,1,1,1,2,
1]],[[1,1,2,1],[3,1,1,-1,2,1,1,1,3,-1]],[[1,-2],[1,1,2,1],[3,1,2,1,4,1,3,1,2,
1,3,1,4,-1]]],[[[1,-1,2,1,1,1]],[[1,-2],[3,1,2,1,3,1]]],[[[2,1,1,1],[1,-2,3,
2]],[[2,1,1,-2,2,1,1,-1,2,1,1,1]]],[[[2,1,1,-2,2,1]],[[2,1,1,1],[1,-2,3,
2]]],[[[2,1,1,-2,2,1]],[[1,1,2,1,1,1,2,1,1,-1]]],[[[1,-2],[3,1,2,1,3,1]],[[1,
1,2,1],[3,1,1,-2,3,-1]]],[[[2,1,1,-1,2,1,1,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,
-2,2,1]]],[[[1,-2],[3,1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-2,2,1]]],[[[2,1,1,-2,
2,1]],[[1,1,2,1,1,-1,2,1,1,-2]]],[[[1,1,2,1,1,1]],[[1,-2],[3,1,2,1,3,1]]],[[[
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1],[1,-2,2,1,3,2,2,1,3,-1]]],[[[1,1,2,1,1,-1]],[[2,1,1,-1,2,1,1,-2]]],[[[1,1,
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LIBTOM( "M8.S4.2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,3,8],[1,3,9],[1,2,10],[1,2,11],[
1,2,4,12],[1,4,13],[1,3,14],[1,3,6,15],[1,3,5,16],[1,3,4,17],[1,3,18],[1,4,5,
19],[1,3,6,20],[1,4,5,21],[1,2,6,22],[1,2,5,23],[1,3,24],[1,3,5,25],[1,4,26],[
1,4,5,27],[1,2,7,28],[1,6,7,29],[1,5,7,30],[1,2,3,8,9,31],[1,2,11,32],[1,2,4,
12,13,33],[1,2,3,8,11,34],[1,2,3,4,8,12,17,35],[1,2,3,8,14,36],[1,2,3,6,8,15,
20,22,37],[1,2,3,8,24,38],[1,2,3,8,10,39],[1,2,3,8,18,40],[1,2,4,11,12,41],[1,
2,3,5,8,16,23,25,42],[1,2,4,11,12,43],[1,2,6,11,22,44],[1,2,11,45],[1,2,4,5,
12,19,21,23,27,46],[1,2,4,12,26,47],[1,2,3,4,8,11,12,48],[1,3,5,6,15,24,25,
49],[1,3,4,5,16,17,19,21,25,27,50],[1,4,5,13,21,26,51],[1,3,6,18,20,24,52],[1,
3,6,9,14,15,53],[1,3,4,6,14,17,20,54],[1,4,5,13,19,26,55],[1,2,5,6,10,22,23,
56],[1,3,5,9,16,18,57],[1,3,7,9,58],[1,4,7,13,59],[1,2,5,7,23,28,30,60],[1,2,
7,10,28,61],[1,2,6,7,22,28,29,62],[1,2,3,8,9,10,31,39,63],[1,2,3,6,8,11,15,20,
22,34,37,44,64],[1,2,3,8,11,14,34,36,65],[1,2,3,8,9,24,31,38,66],[1,2,3,4,8,
12,17,18,35,40,67],[1,2,3,4,8,9,11,12,17,31,34,35,48,68],[1,2,3,4,5,8,12,16,
17,19,21,23,25,27,35,42,46,50,69],[1,2,3,5,8,10,14,16,23,25,36,39,42,70],[1,2,
3,4,8,10,12,17,24,35,38,39,71],[1,2,3,8,14,18,24,36,38,40,72],[1,2,3,5,8,14,
16,23,24,25,36,38,42,73],[1,2,3,8,10,14,18,36,39,40,74],[1,2,3,5,8,9,16,18,23,
25,31,40,42,57,75],[1,2,3,6,8,9,14,15,20,22,31,36,37,53,76],[1,2,3,4,6,8,12,
14,15,17,20,22,35,36,37,54,77],[1,2,3,4,8,12,17,26,35,47,78],[1,2,3,6,8,10,15,
18,20,22,37,39,40,79],[1,2,3,6,8,15,18,20,22,24,37,38,40,52,80],[1,2,3,5,6,8,
15,16,20,22,23,24,25,37,38,42,49,81],[1,2,3,5,6,8,10,15,16,20,22,23,25,37,39,
42,56,82],[1,2,3,4,8,11,12,32,34,41,43,48,83],[1,2,3,8,10,11,24,34,38,39,84],[
1,2,3,5,8,11,16,18,23,25,34,40,42,85],[1,2,3,4,8,11,12,13,17,33,35,41,43,48,
86],[1,2,3,8,11,34,45,87],[1,2,4,6,11,12,22,43,44,45,88],[1,2,4,5,12,13,19,21,
23,26,27,33,46,47,51,55,89],[1,2,4,5,11,12,19,21,23,26,27,41,46,47,90],[1,2,6,
11,22,32,44,45,91],[1,2,3,7,8,9,28,31,58,92],[1,3,6,7,9,14,15,29,53,58,93],[1,
4,5,7,13,21,26,30,51,59,94],[1,4,5,7,13,19,26,30,55,59,95],[1,2,4,7,12,13,28,
33,59,96],[1,3,5,7,9,16,18,30,57,58,97],[1,2,7,11,28,32,98],[1,2,5,6,7,10,22,
23,28,29,30,56,60,61,62,99],[1,2,3,4,8,9,11,12,13,17,31,32,33,34,35,41,43,48,
68,83,86,100],[1,2,3,4,6,8,9,11,12,14,15,17,20,22,31,34,35,36,37,44,48,53,54,
64,65,68,76,77,101],[1,2,3,4,5,8,9,11,12,16,17,18,19,21,23,25,27,31,34,35,40,
42,46,48,50,57,67,68,69,75,85,102],[1,2,3,4,8,9,11,12,17,24,31,34,35,38,48,66,
68,103],[1,2,3,4,8,9,11,12,17,26,31,34,35,47,48,68,78,104],[1,2,3,4,8,9,10,11,
12,17,24,31,34,35,38,39,48,63,66,68,71,84,105],[1,2,3,4,8,9,11,12,17,31,34,35,
45,48,68,87,106],[1,2,3,4,6,8,10,12,14,15,17,18,20,22,24,35,36,37,38,39,40,52,
54,67,71,72,74,77,79,80,107],[1,2,3,4,5,6,8,10,12,14,15,16,17,19,20,21,22,23,
24,25,27,35,36,37,38,39,42,46,49,50,54,56,69,70,71,73,77,81,82,108],[1,2,3,4,
8,11,12,14,32,34,36,41,43,45,48,65,83,87,109],[1,2,3,5,8,10,11,14,16,18,23,24,
25,34,36,38,39,40,42,65,70,72,73,74,84,85,110],[1,2,3,5,6,8,9,14,15,16,18,20,
22,23,24,25,31,36,37,38,40,42,49,52,53,57,66,72,73,75,76,80,81,111],[1,2,3,4,
6,8,11,12,15,20,22,32,34,37,41,43,44,45,48,64,83,87,88,91,112],[1,2,3,5,6,8,
10,11,15,16,18,20,22,23,24,25,34,37,38,39,40,42,44,49,52,56,64,79,80,81,82,84,
85,113],[1,2,3,5,6,8,9,10,14,15,16,18,20,22,23,25,31,36,37,39,40,42,53,56,57,
63,70,74,75,76,79,82,114],[1,2,3,4,8,11,12,13,17,18,26,33,35,40,41,43,47,48,
67,78,86,115],[1,2,3,4,5,8,11,12,13,16,17,19,21,23,25,26,27,33,35,41,42,43,46,
47,48,50,51,55,69,78,86,89,90,116],[1,2,3,5,7,8,9,16,18,23,25,28,30,31,40,42,
57,58,60,75,92,97,117],[1,2,3,7,8,9,10,28,31,39,58,61,63,92,118],[1,2,3,6,7,8,
9,14,15,20,22,28,29,31,36,37,53,58,62,76,92,93,119],[1,2,4,5,7,12,13,19,21,23,
26,27,28,30,33,46,47,51,55,59,60,89,94,95,96,120],[1,2,6,7,11,22,28,29,32,44,
45,62,91,98,121],[1,2,3,4,8,9,10,11,12,13,17,24,31,32,33,34,35,38,39,41,43,48,
63,66,68,71,83,84,86,100,103,105,122],[1,2,3,4,6,8,9,11,12,13,14,15,17,20,22,
31,32,33,34,35,36,37,41,43,44,45,48,53,54,64,65,68,76,77,83,86,87,88,91,100,
101,106,109,112,123],[1,2,3,4,5,6,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,
24,25,27,31,34,35,36,37,38,39,40,42,44,46,48,49,50,52,53,54,56,57,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,84,85,101,102,105,107,108,110,
111,113,114,124],[1,2,3,4,5,8,9,11,12,16,17,18,19,21,23,24,25,27,31,34,35,38,
40,42,45,46,48,50,57,66,67,68,69,75,85,87,102,103,106,125],[1,2,3,4,8,9,10,11,
12,17,24,26,31,34,35,38,39,45,47,48,63,66,68,71,78,84,87,104,105,106,126],[1,
2,3,4,6,8,9,11,12,14,15,17,20,22,24,26,31,34,35,36,37,38,44,47,48,53,54,64,65,
66,68,76,77,78,101,103,104,127],[1,2,3,4,5,8,9,11,12,13,16,17,18,19,21,23,25,
26,27,31,32,33,34,35,40,41,42,43,46,47,48,50,51,55,57,67,68,69,75,78,83,85,86,
89,90,100,102,104,115,116,128],[1,2,3,4,7,8,9,11,12,13,17,28,31,32,33,34,35,
41,43,48,58,59,68,83,86,92,96,98,100,129],[1,2,3,5,6,7,8,9,10,14,15,16,18,20,
22,23,25,28,29,30,31,36,37,39,40,42,53,56,57,58,60,61,62,63,70,74,75,76,79,82,
92,93,97,99,114,117,118,119,130],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,122,123,124,125,126,127,128,131],[1,2,3,4,6,7,
8,9,11,12,13,14,15,17,20,22,28,29,31,32,33,34,35,36,37,41,43,44,45,48,53,54,
58,59,62,64,65,68,76,77,83,86,87,88,91,92,93,96,98,100,101,106,109,112,119,
121,123,129,132],[1,2,3,4,7,8,9,10,11,12,13,17,24,28,31,32,33,34,35,38,39,41,
43,48,58,59,61,63,66,68,71,83,84,86,92,96,98,100,103,105,118,122,129,133],[1,
2,3,4,5,7,8,9,11,12,13,16,17,18,19,21,23,25,26,27,28,30,31,32,33,34,35,40,41,
42,43,46,47,48,50,51,55,57,58,59,60,67,68,69,75,78,83,85,86,89,90,92,94,95,96,
97,98,100,102,104,115,116,117,120,128,129,134],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,
132,133,134,135]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,2,1],[1,3,1],[1,1,1],[1,1,1],[
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2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1,
1],[1,3,1,1],[1,3,1,1],[1,1,6,3,4,1],[1,1,3,1],[1,1,6,3,4,1],[1,1,2,1,2,1],[1,
1,2,4,1,2,4,1],[1,1,2,1,2,1],[1,1,2,4,1,2,2,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[
1,1,2,1,2,1],[1,1,2,2,1,1],[1,1,2,4,1,2,2,2,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,
1,1,1],[1,1,2,4,1,1,1,2,2,1],[1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,2,4,1,1,1,1,1,2,1],[1,3,2,1,1,1,1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,
1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,3,4,4,1,6,
1],[1,1,2,8,1,2,4,4,4,1,2,4,1],[1,1,2,1,2,4,1,2,1],[1,1,6,3,4,4,1,2,1],[1,1,2,
4,1,2,4,4,1,2,1],[1,1,6,4,3,4,2,2,4,1,1,1,4,1],[1,1,2,4,8,1,2,4,4,4,4,4,4,8,1,
2,4,8,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,1,2,1,2,
2,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,6,4,3,
4,2,2,2,2,1,1,1,4,1],[1,1,6,4,3,4,2,2,2,2,1,1,1,4,1],[1,1,2,4,4,1,2,2,2,4,2,2,
1,1,1,4,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,1,2,
2,2,2,2,1,1,1,4,1],[1,1,2,4,4,1,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,2,4,4,1,2,2,2,2,
2,2,2,1,1,1,4,1],[1,1,2,4,1,4,2,1,1,2,1,2,1],[1,1,2,1,2,2,2,1,1,1,1],[1,1,2,4,
1,2,2,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,4,1,1,1,2,2,1],[1,1,2,1,2,1,2,1],[1,1,4,
4,1,2,2,1,1,1,1],[1,1,6,4,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,2,1,1,1,2,2,2,1,
1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,3,6,4,1,3,
3,4,3,1,1],[1,1,4,3,4,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,12,3,4,6,
6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,1,6,4,8,3,4,2,2,4,4,4,4,4,1,1,1,2,2,4,4,8,
8,1,1,1,2,2,1],[1,1,6,4,8,3,4,2,2,4,4,4,4,4,4,4,8,1,1,1,2,2,4,4,8,8,1,1,1,2,2,
1],[1,1,6,4,3,4,2,2,4,8,1,1,1,4,4,2,1,1],[1,1,6,4,3,4,2,2,4,8,1,1,1,4,4,1,2,
1],[1,1,6,4,3,4,4,2,2,4,4,1,1,1,2,6,4,1,1,1,2,2,1],[1,1,6,4,3,4,2,2,4,1,1,1,4,
4,1,2,1],[1,1,2,4,4,1,2,2,2,2,4,4,2,2,2,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,
2,4,8,4,1,2,2,2,2,4,4,4,2,4,2,4,2,4,8,1,1,1,1,1,2,4,4,8,4,4,1,1,1,1,1,1,1,1],[
1,1,2,4,1,4,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,2,4,1,2,2,4,2,2,2,2,2,1,2,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,6,4,4,3,4,2,2,2,2,2,2,2,4,2,1,1,1,2,1,1,4,4,4,4,1,1,1,1,
1,1,1,1],[1,1,2,4,8,1,4,2,4,4,4,1,1,2,2,1,4,2,2,1,1,1,2,2,1],[1,1,2,4,8,1,2,2,
4,2,2,4,4,2,2,2,1,2,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,4,3,4,4,2,2,2,2,
2,2,2,2,1,1,1,6,1,1,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,4,4,4,4,4,1,1,2,1,2,2,
2,1,1,1,1],[1,1,2,8,8,1,2,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,4,2,2,8,4,4,1,1,1,2,2,
1],[1,1,6,12,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,6,4,3,4,4,4,1,6,1,4,
1,1,1],[1,1,6,12,4,3,4,6,6,6,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,6,12,4,3,4,3,3,
6,6,6,4,8,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,6,12,
3,4,4,6,6,8,12,12,1,2,2,3,3,6,6,6,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,6,12,8,3,4,
6,6,8,4,4,12,4,4,1,2,2,3,3,2,2,6,6,4,4,12,8,8,1,1,3,2,2,6,6,2,4,4,1,1,1,2,2,
1],[1,1,6,4,8,8,3,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,6,2,2,4,4,4,8,
8,8,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,
1,6,4,8,3,4,2,2,4,4,4,4,4,4,8,4,8,1,1,1,4,2,2,4,4,4,8,8,2,1,1,1,2,2,2,1,1,1,
1],[1,1,6,4,3,4,4,2,2,4,4,8,1,1,1,2,6,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,4,8,
3,4,2,2,4,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,8,8,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,12,
8,3,4,6,6,8,4,12,4,4,4,4,4,8,8,1,2,2,3,3,2,6,2,6,4,4,12,8,8,8,8,1,3,1,2,2,6,2,
6,4,4,1,1,1,2,2,1],[1,1,6,12,16,3,4,6,6,8,12,16,1,2,2,3,3,6,6,12,4,8,3,6,6,4,
8,8,1,1],[1,1,6,12,12,4,3,4,4,6,6,6,6,6,6,6,6,4,8,8,1,3,3,6,3,3,12,12,12,1,4,
4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,12,8,8,3,4,4,6,6,8,4,4,4,12,4,4,4,
4,4,4,12,4,8,8,1,2,2,3,3,2,2,6,6,2,6,2,6,4,4,4,4,12,8,8,8,8,8,8,8,8,8,1,1,1,3,
1,3,1,2,6,2,2,2,2,2,2,2,2,2,2,2,6,6,2,6,2,4,4,4,4,1,1,1,3,1,3,1,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,24,16,3,4,6,6,8,12,12,12,12,12,16,32,1,2,2,3,
3,6,6,6,6,12,12,12,24,24,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,8,8,1,3,3,6,6,4,8,3,
1,1],[1,1,6,12,16,3,4,4,6,6,8,12,12,16,1,2,2,3,3,6,6,6,6,12,4,8,16,1,3,3,6,6,
6,6,4,8,8,1,3,3,4,1,1,1],[1,1,6,12,24,16,3,4,6,6,8,12,12,12,12,12,12,12,24,24,
16,32,1,2,2,3,3,6,6,6,6,12,12,12,24,24,24,24,4,8,16,3,3,3,6,6,6,6,6,12,12,4,8,
8,8,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,6,12,24,24,16,3,4,4,6,6,8,12,12,12,12,12,12,
12,12,12,12,12,12,24,24,16,32,32,1,2,2,3,3,6,6,6,6,6,6,6,6,12,12,12,12,12,24,
24,24,24,24,24,24,24,24,4,8,16,16,16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,12,12,12,12,4,8,8,8,8,8,8,16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,
4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1]],
[1,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,12,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,24,24,24,24,24,
24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,48,48,48,48,48,64,
64,64,64,64,64,64,96,96,128,192,192,192,384],
[135,135,124,116,69,80,99,131,130,130,123,128,120,101,111,102,108,111,116,107,
116,113,108,113,108,89,69,99,62,60,135,132,134,131,131,124,124,124,124,124,
128,124,123,112,112,116,116,100,81,69,89,80,76,77,89,82,75,130,120,99,99,99,
135,131,131,131,131,131,131,124,124,124,124,124,124,124,124,128,124,124,124,
124,123,124,124,128,123,112,116,116,112,130,119,120,120,120,117,121,99,135,
131,131,131,131,131,131,124,124,123,124,124,123,124,124,128,128,130,130,130,
120,121,135,131,131,131,131,131,131,135,130,131,135,135,135,135],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,1,2,1,1,1,1,1,1,
1,1,1,1,2,2,1,1,1,2,3,1,4,1,3,3,4,2,3,9,13,7,1,7,1,2,1,2,2,2,1,3,3,3,2,2,3,3,
3,2,3,1,3,2,2,3,3,2,2,11,4,4,11,9,58,59,59,13,58,32,28,2,8,8,8,8,8,8,8,8,11,8,
8,11,8,8,12,12,58,9,58,59,98,31,34,8,35,31,34,35,100,92,68,129,100,129,129],
[( 1,10)( 2,15)( 3, 9)( 4,23)( 5,16)( 6,19)( 7,12)( 8,14)(11,18)(13,22)(17,24)
(20,21),( 1, 3, 2,22,11,14,20,24)( 4,12,16, 6)( 7,23)( 8,15,10,13, 9,21,18,17
)],
[[[[]]],[[[2,-4]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,
2,-1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,1,4,1]]],[[[2,1,1,1],[3,2,2,2]]],[[[2,-4]],[[1,1,2,1],[2,1,
3,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[
3,2,2,1,3,1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,2]]],[[[2,2]]],[[[2,
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-2]],[[1,1,2,1],[2,1,1,1,3,-1,1,1,2,-1,3,1]]],[[[1,1,2,2,1,1,2,-1]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]]],[[[1,1,2,
-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,2,
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1],[2,1,1,1,2,1,3,2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,2,2,2,1,
1]]],[[[2,-4]],[[2,1,1,1],[3,2,2,2]]],[[[2,1,1,1],[3,2,2,2]],[[1,1,2,1],[3,2,
1,1,2,-1,3,1,2,1]]],[[[2,1,1,1,2,-1]],[[2,1,1,1],[3,2,2,2]]],[[[2,-4]],[[1,1,
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2,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[2,-4]],[[2,1,1,1,2,2,1,1,2,1]],[[1,
1,2,1],[1,1,2,-1,1,1,2,-1,3,-2]]],[[[2,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,
4,1]]],[[[2,-4]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1],[3,
1,4,1,3,1,4,1]]],[[[2,-4]],[[1,1,2,2,1,1,2,-1]]],[[[2,-4]],[[1,1,2,1],[3,2,2,
1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,1]]],[[[2,-4]],[[1,1,2,
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1,1,3,-2,2,2]]],[[[2,-4]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,2,1,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[2,-4]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,
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2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,
1],[3,2,2,2,1,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,
1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,3,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,
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2,1,1,1,2,-1,3,1]]],[[[1,1,2,2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2,2,
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1,2,-3]],[[2,1,1,1],[3,2,2,2]]],[[[2,1,1,1],[3,2,2,2]],[[1,1,2,1],[2,2,3,
2]]],[[[2,1,1,1,2,-1]],[[2,-4]],[[2,1,1,1],[3,2,2,2]]],[[[2,1,1,1],[3,2,2,
2]],[[1,1,2,1],[3,2,1,1,2,-3]]],[[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,1,
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1,3,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[2,2]],[[1,1,2,1],[3,2,2,1,
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1,2,1]]],[[[2,1,1,1],[3,2,2,-1,1,1]],[[1,1,2,1],[1,1,2,-1,3,2]]],[[[1,1,2,1],[
3,1,1,1,2,-1,3,1,2,1]],[[2,1,1,1],[3,1,2,1,3,-1,1,1,2,1]]],[[[2,-2]],[[1,1,2,
1],[1,1,2,-1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,3,1,4,1]]],[[[2,
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1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,2,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,
2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[3,2,1,1,2,-3]]],[[[1,1,2,2,1,1,2,-1]],[[1,1,
2,-1],[3,2,1,1,2,1]]],[[[1,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,-2]]],[[[1,
1,2,2,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1]]],[[[2,-1,1,1,2,1]],[[2,
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2,1],[3,2,2,1,1,1,2,-1,3,1]]],[[[2,-4]],[[1,1,2,2,1,1,2,-1]],[[1,1,2,1],[3,1,
1,1,2,-1,3,-2,2,-1]]],[[[1,1,2,1,1,1,2,1,1,1]],[[2,1,1,1,2,-1,1,1,2,-1,1,1,2,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1]]],[[[2,
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-4]],[[1,1,2,-1],[3,2,1,1,2,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,
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1],[3,2,1,1,2,-1]]],[[[2,-2]],[[1,1,2,1],[2,1,1,1,3,-1,2,1,3,1]]],[[[1,1,2,2,
1,1]],[[2,1,1,1,2,2,1,1,2,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[2,2]],[[1,1,
2,1],[3,1,1,1,2,-2,3,2]]],[[[1,1,2,1],[2,-1,3,2]],[[1,1,2,1],[1,1,2,-1,1,1,2,
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1,1,2,-1,1,1,2,-2]]],[[[2,-1,1,1,2,1]],[[2,1,1,1],[3,2,2,2]]],[[[1,1,2,1,1,1,
2,1,1,1]],[[2,1,1,1],[3,2,2,2]]],[[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,2,3,
2]]],[[[2,1,1,1,2,-1]],[[2,3,1,1,2,-1,1,1]]],[[[2,2]],[[2,1,1,1,2,1,1,1]]],[[[
2,1,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]]],[[[2,2]],[[1,1,2,2,1,1]],[[
2,1,1,1,2,2,1,1,2,1]],[[1,1,2,1],[3,2,2,1,1,1,3,-1]]],[[[2,2]],[[1,1,2,2,1,1,
2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1]]],[[[2,-2]],[[1,1,2,-1,1,1,2,1,1,
1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1]]],[[[2,-2]],[[1,1,2,1],[3,1,1,1,2,-1,3,
1]]],[[[2,-2]],[[1,1,2,-1,1,1,2,-1,1,1]]],[[[2,-2]],[[2,1,1,1],[3,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1,3,-2]]],[[[2,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,
1]]],[[[1,1,2,2,1,1,2,-1]],[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[3,1,1,1,2,
-1,3,1,2,1]]],[[[1,1,2,2,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,2,
1,1,2,-1]]],[[[2,1]],[[1,1,2,-2,1,1]]],[[[2,2]],[[1,1,2,-2,1,1,2,1]],[[1,1,2,
1],[2,1,1,1,3,-2]]],[[[1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,-2]],[[1,1,2,
-1],[3,2,1,1,2,1]]],[[[2,2]],[[1,1,2,-2,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
1]]],[[[2,2]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,2,1,1,2,-1]]],[[[1,1,2,
-2,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1]]],[[[
1,1,2,2,1,1]],[[1,1,2,1,1,1,2,1,1,1,2,2]]],[[[1,1,2,2,1,1]],[[1,1,2,-1,1,1,2,
1,1,1]],[[2,1,1,1,2,2,1,1,2,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,-2]]],[[[1,1,
2,1]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1,1,1,2,1]],[[1,1,2,2,1,1,2,
-1]]],[[[2,-1,1,1,2,1]],[[1,1,2,1,1,1,2,1,1,1]]],[[[2,1,1,1,2,1,1,1]],[[1,1,2,
1],[3,2,1,1,3,-1]]],[[[2,2]],[[1,1,2,2,1,1]],[[2,1,1,1],[1,1,2,-1,3,-2]]],[[[
2,-1]],[[1,1,2,-2,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[2,2]],[[2,1,1,1,2,
-2,1,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-2]]],[[[2,-1]],[[1,1,
2,-1,1,1,2,1,1,1]]],[[[2,-1]],[[1,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,2,1,1,2,
-1]],[[1,1,2,-1,1,1,2,-1,1,1]]],[[[2,2]],[[1,1,2,2,1,1]],[[1,1,2,-1,1,1,2,-1,
1,1]]],[[[2,2]],[[1,1,2,-2,1,1]],[[1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1]],[[2,1,1,
1,2,-1]]],[[[2,-1]],[[1,1,2,2,1,1]],[[1,1,2,-1,1,1,2,-1,1,1]]],[[[2,-1]],[[1,
1,2,1,1,1]]],[[[1,1,2,1]],[[2,-2]]],[[[1,1]],[[2,-2]],[[2,1,1,1,2,-1]]],[[[1,
1]],[[2,1]]]]);
LIBTOM( "3^(1+2)+:D8",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,2,3,9],[1,2,4,10],[1,2,6,
11],[1,4,5,12],[1,2,7,13],[1,3,5,14],[1,2,5,15],[1,3,7,16],[1,3,7,17],[1,4,6,
18],[1,4,6,19],[1,2,3,4,8,9,10,20],[1,5,7,21],[1,5,6,22],[1,2,3,5,9,14,15,
23],[1,2,4,5,10,12,15,24],[1,2,5,8,15,25],[1,2,3,7,9,13,16,17,26],[1,2,4,6,10,
11,18,19,27],[1,3,5,7,14,16,21,28],[1,4,5,6,12,19,22,29],[1,2,5,7,13,15,21,
30],[1,2,5,6,11,15,22,31],[1,4,5,6,12,18,22,32],[1,3,5,7,14,17,21,33],[1,2,3,
4,5,8,9,10,12,14,15,20,23,24,25,34],[1,5,6,7,21,22,35],[1,2,4,5,6,10,11,12,15,
18,19,22,24,27,29,31,32,36],[1,2,3,5,7,9,13,14,15,16,17,21,23,26,28,30,33,
37],[1,2,5,6,7,11,13,15,21,22,30,31,35,38],[1,4,5,6,7,12,18,19,21,22,29,32,35,
39],[1,3,5,6,7,14,16,17,21,22,28,33,35,40],[1,2,3,5,6,7,9,11,13,14,15,16,17,
21,22,23,26,28,30,31,33,35,37,38,40,41],[1,2,5,6,7,8,11,13,15,21,22,25,30,31,
35,38,42],[1,2,4,5,6,7,10,11,12,13,15,18,19,21,22,24,27,29,30,31,32,35,36,38,
39,43],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,3,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,
1,1],[1,1,2,2,1,1,1,1],[1,1,3,1],[1,1,3,1],[1,1,6,1,3,2,1,1],[1,1,6,1,3,2,1,
1],[1,1,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,9,1,3,3,9,1,1],[1,
9,1,3,3,9,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,
1,3,1,1],[1,1,6,6,1,1,3,3,2,2,1,3,1,1,1,1],[1,1,6,6,2,2,1],[1,3,12,1,3,9,1,4,
3,3,9,1,3,3,1,1,1,1],[1,3,12,1,3,9,1,4,3,9,3,1,3,3,1,1,1,1],[1,9,1,6,6,6,6,9,
2,2,6,6,1,1],[1,9,1,6,6,3,9,9,2,2,1,3,1,1],[1,9,1,6,6,3,9,9,2,2,1,3,1,1],[1,9,
18,1,6,6,27,6,6,6,9,18,18,2,2,9,18,2,6,6,6,1,6,1,2,1],[1,9,1,6,6,9,6,6,9,2,2,
9,6,6,1,1,1],[1,9,18,1,6,6,27,6,6,6,9,18,18,2,2,9,18,2,6,6,6,1,6,1,2,1],[1,9,
18,18,1,6,6,9,27,27,6,6,6,6,9,18,18,18,18,27,2,2,9,9,9,18,18,2,2,6,6,6,6,9,1,
6,6,1,2,2,1,1,1,1]],
[1,2,2,2,3,3,3,4,4,4,6,6,6,6,6,6,6,6,6,8,9,9,12,12,12,12,12,18,18,18,18,18,18,
24,27,36,36,54,54,54,108,108,108,216],
[44,34,26,27,44,36,37,34,20,20,36,36,37,37,34,26,26,27,27,20,41,43,34,34,34,
26,27,41,43,37,36,36,37,34,44,36,37,44,43,41,44,44,44,44],
[1,1,1,1,1,1,1,1,1,1,6,5,7,5,1,7,1,1,6,2,1,1,5,5,1,7,6,21,22,7,6,5,5,15,5,22,
21,35,22,21,35,35,35,38],
[( 1,19,22)( 2, 7,11,24,14, 3)( 4,12,18)( 6,10,13,21, 9,15)( 8,16)(20,23),
( 1,21)( 2, 9)( 3, 8)( 4,20)( 5,12)( 6,24)( 7,15)(10,14)(11,17)(13,22)(16,19)
(18,23)],
[[[[]]],[[[1,1,2,1],[2,1,1,2,3,-2,2,1]]],[[[1,2],[1,1,2,1,3,1,2,1,3,1]]],[[[1,
2],[3,1,2,1,3,-1]]],[[[1,2],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,1]]],[[[1,2,2,1,1,2,
2,1]]],[[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[1,1,2,1],[3,2,1,-3,2,1]]],[[[1,2],[1,
1,2,1,3,1,2,1,3,1]],[[1,1,2,1],[3,1,1,-2,2,1,3,2]]],[[[1,2],[3,-1,2,1,3,1]],[[
1,1,2,1],[1,2,2,1,3,2]]],[[[1,2,2,1,1,2,2,1]],[[1,1,2,1],[2,1,1,2,3,-2,2,
1]]],[[[1,2],[3,1,2,1,3,-1]],[[2,1,1,-2,2,1,1,2,2,1]]],[[[2,1,1,-1,2,1,1,
1]],[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[1,2],[1,1,2,1,3,1,2,1,3,1]],[[1,2],[3,1,1,
1,2,1,3,1,2,1]]],[[[2,1,1,1],[3,1,1,2,3,1]]],[[[1,-3]],[[1,1,2,1],[3,1,1,-2,3,
-1]]],[[[2,1,1,-2,2,1,1,1]]],[[[1,2],[3,-1,2,1,3,1]],[[1,2,2,1,1,2,2,1]]],[[[
2,1,1,-1,2,1,1,1,2,1]],[[1,2,2,1,1,2,2,1]]],[[[1,2],[3,1,2,1,3,-1]],[[1,2],[1,
1,2,1,3,1,2,1,3,1]]],[[[2,1,1,2,2,1]],[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[1,2,2,1,
1,2,2,1]],[[1,1,2,1,1,-2,2,1,1,1]]],[[[1,-3]],[[2,1,1,1],[3,1,1,2,3,1]]],[[[1,
1,2,1,1,-1]],[[1,2],[3,-1,2,1,3,1]]],[[[1,1,2,1,1,2]]],[[[1,1,2,1,1,-1,2,
1]],[[2,1,1,-2,2,1,1,1]]],[[[1,2],[3,-1,2,1,3,1]],[[2,1,1,-1,2,1,1,1,2,1]],[[
1,2,2,1,1,2,2,1]]],[[[1,-3]],[[2,1,1,2,2,1]],[[1,1,2,1],[3,1,1,2,3,-1]]],[[[1,
1,2,1,1,-1]],[[2,1,1,-1,2,1,1,1,2,1]],[[2,1,1,-2,2,1,1,-2]]],[[[2,1,1,-1,2,1,
1,1]],[[2,1,1,1,2,1,1,1]]],[[[1,1,2,1,1,1,2,1]],[[2,1,1,1],[3,1,1,2,3,1]]],[[[
2,1,1,2]],[[1,2],[3,1,2,1,3,-1]]],[[[2,1,1,2,2,1]],[[2,1,1,1,2,1,1,-2]]],[[[1,
1,2,1,1,-1]],[[1,-3]]],[[[1,2]],[[2,1,1,2,2,1]]],[[[1,1,2,1,1,-1]],[[1,2,2,
1]]],[[[1,-3]],[[2,1,1,1,2,1,1,1]]],[[[1,-2]],[[2,1,1,-1,2,1,1,1]],[[2,1,1,2,
2,1]]],[[[2,1]],[[1,-2]]],[[[1,-1]],[[2,1,1,-2,2,1]]],[[[1,1]],[[2,1,1,-1,2,
1]]],[[[1,-2]],[[2,1,1,-1]]],[[[2,1,1,-2]],[[1,1,2,1,1,1]]],[[[1,1]],[[2,
1]]]]);
LIBTOM( "2^3:L3(2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,4,7],[1,3,8],[1,2,3,9],[1,2,4,10],[1,
3,11],[1,4,12],[1,2,13],[1,3,4,14],[1,3,4,15],[1,2,3,4,16],[1,3,17],[1,4,18],[
1,2,5,19],[1,3,5,20],[1,4,5,21],[1,22],[1,2,6,23],[1,2,3,9,11,24],[1,2,4,10,
12,25],[1,2,13,26],[1,2,4,10,13,27],[1,2,3,4,6,9,10,16,28],[1,2,6,13,29],[1,2,
3,9,13,30],[1,2,4,10,18,31],[1,2,3,4,8,9,14,15,16,32],[1,2,3,4,9,10,13,33],[1,
2,4,6,10,13,34],[1,2,3,9,17,35],[1,2,3,6,9,13,36],[1,2,3,4,7,10,14,15,16,37],[
1,3,4,12,15,18,38],[1,3,8,11,17,39],[1,3,4,11,14,17,40],[1,4,7,12,18,41],[1,3,
5,11,42],[1,2,5,6,43],[1,4,5,12,44],[1,4,5,7,45],[1,3,5,8,46],[1,2,3,4,5,16,
19,20,21,47],[1,2,3,4,6,7,8,9,10,14,15,16,28,32,37,48],[1,2,3,4,6,9,10,11,13,
16,24,28,30,33,36,49],[1,2,3,4,6,9,10,13,16,23,28,29,34,36,50],[1,2,3,4,6,9,
10,16,17,28,35,51],[1,2,3,4,6,9,10,12,13,16,25,27,28,33,34,52],[1,2,3,4,6,9,
10,13,16,28,29,53],[1,2,3,4,6,9,10,16,18,28,31,54],[1,2,3,4,7,10,12,14,15,16,
18,25,31,37,38,41,55],[1,2,3,4,8,9,13,14,15,16,17,30,32,35,56],[1,2,3,4,6,9,
10,13,26,27,29,30,33,34,36,57],[1,2,3,4,8,9,11,14,15,16,17,24,32,35,39,40,
58],[1,2,3,4,7,10,13,14,15,16,18,27,31,37,59],[1,5,22,60],[1,3,4,5,11,14,17,
21,40,42,61],[1,3,5,8,11,17,20,39,42,62],[1,2,3,5,9,11,19,24,42,63],[1,2,4,5,
6,10,13,21,34,43,64],[1,2,4,5,10,12,19,25,44,65],[1,2,3,5,6,9,13,20,36,43,
66],[1,2,5,6,19,23,43,67],[1,4,5,7,12,18,21,41,44,68],[1,3,4,5,12,15,18,20,38,
44,69],[1,2,5,13,19,26,70],[1,4,5,7,12,18,21,41,45,71],[1,3,5,8,11,17,20,39,
46,72],[1,2,3,4,6,9,10,11,12,13,16,23,24,25,26,27,28,29,30,33,34,36,49,50,52,
57,73],[1,2,3,4,6,7,8,9,10,13,14,15,16,23,28,29,32,34,36,37,48,50,53,74],[1,2,
3,4,6,9,10,13,16,17,18,23,28,29,31,34,35,36,50,51,54,75],[1,2,3,4,6,7,8,9,10,
11,13,14,15,16,17,24,28,30,32,33,35,36,37,39,40,48,49,51,56,58,76],[1,2,3,4,6,
9,10,12,13,16,17,25,27,28,29,33,34,35,51,52,53,77],[1,2,3,4,6,7,8,9,10,12,13,
14,15,16,18,25,27,28,31,32,33,34,37,38,41,48,52,54,55,59,78],[1,2,3,4,6,9,10,
11,13,16,18,24,28,29,30,31,33,36,49,53,54,79],[1,2,3,4,5,6,7,8,9,10,14,15,16,
28,32,37,43,45,46,48,80],[1,2,3,4,5,8,9,11,14,15,16,17,19,20,21,24,32,35,39,
40,42,47,58,61,62,63,81],[1,2,3,4,5,7,10,12,14,15,16,18,19,20,21,25,31,37,38,
41,44,47,55,65,68,69,82],[1,2,3,4,5,6,9,10,13,16,19,20,21,23,28,29,34,36,43,
47,50,64,66,67,83],[1,2,6,22,23,84],[1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,
18,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,48,49,50,51,52,53,
54,55,56,57,58,59,73,74,75,76,77,78,79,85],[1,2,3,4,5,6,9,10,11,12,13,16,19,
23,24,25,26,27,28,29,30,33,34,36,42,43,44,49,50,52,57,63,65,67,70,73,86],[1,2,
3,4,5,6,7,8,9,10,11,13,14,15,16,17,20,24,28,30,32,33,35,36,37,39,40,43,45,46,
48,49,51,56,58,66,72,76,80,87],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,18,21,25,
27,28,31,32,33,34,37,38,41,43,45,46,48,52,54,55,59,64,71,78,80,88],[1,2,3,4,5,
6,7,8,9,10,13,14,15,16,19,23,28,29,32,34,36,37,43,45,46,48,50,53,67,74,80,
89],[1,2,5,6,19,22,23,43,60,67,84,90],[1,4,5,7,12,18,21,22,41,44,45,60,68,71,
91],[1,3,5,8,11,17,20,22,39,42,46,60,62,72,92],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,47,48,49,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,66,67,68,69,
70,73,74,75,76,77,78,79,81,82,83,85,86,93],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
43,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,64,66,67,71,72,73,74,75,76,77,
78,79,80,83,85,87,88,89,94],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,
3,1],[1,3,1],[1,1,1],[1,1,2,1],[1,2,1,1],[1,1,1,1,1],[1,1,1],[1,1,1],[1,1,1,
1],[1,3,1,1],[1,3,1,1],[1,1],[1,7,7,1],[1,1,6,3,4,1],[1,1,6,3,4,1],[1,1,3,1],[
1,1,2,1,2,1],[1,3,2,2,1,1,1,4,1],[1,3,1,2,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,
4,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,2,1],[1,3,2,1,1,1,
1],[1,1,2,4,1,1,2,1,2,1],[1,2,3,1,1,1,1],[1,5,1,1,1,1],[1,3,2,1,1,1,1],[1,5,1,
1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,3,3,1,
3,1,1,1,1],[1,3,6,6,1,2,2,3,3,6,6,12,3,6,6,1],[1,3,6,2,1,3,1,4,2,4,1,1,1,2,2,
1],[1,7,2,2,7,1,1,2,4,1,1,1,2,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,2,6,1,1,3,4,
2,4,1,1,1,2,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,1,2,8,
1,3,4,2,1,2,2,1,1,1,2,2,1],[1,1,4,2,1,1,2,1,2,2,2,1,1,1,1],[1,3,2,2,1,1,1,4,1,
1,1,1,1,1,1,1],[1,1,8,2,1,3,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,1,2,2,1,2,2,1,1,
1,1],[1,7,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,6,4,3,4,4,1,
1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
7,4,7,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[
1,9,4,1,3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,7,6,6,7,3,3,4,4,6,12,1,1,1,2,3,
3,3,3,6,6,6,3,3,3,6,1],[1,7,6,6,7,2,2,3,3,6,6,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,
7,2,2,7,1,1,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,10,6,1,2,2,5,3,4,2,6,6,12,4,1,
3,1,6,2,2,2,6,4,4,1,1,1,2,2,1],[1,3,2,6,1,1,3,4,6,4,4,1,1,1,2,2,2,2,1,1,1,1],[
1,3,6,10,1,2,2,3,5,4,2,6,6,12,4,1,1,3,2,6,2,2,6,4,4,1,1,1,2,2,1],[1,3,6,2,1,3,
1,4,6,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,6,6,16,1,2,2,3,3,6,6,12,3,6,6,4,8,8,1,
1],[1,1,12,6,4,3,3,4,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,6,12,4,3,3,4,
6,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,7,6,6,4,7,3,3,6,12,4,4,4,1,3,3,6,6,
1,4,3,1,1,1,1],[1,7,7,8,1,1],[1,7,10,10,7,2,2,5,5,4,4,10,6,6,20,4,4,1,1,1,2,3,
5,5,3,2,6,6,10,2,10,6,4,4,4,4,1,3,5,1,3,3,1,2,2,6,2,2,1,1,1,1,1,1,1,1],[1,7,6,
6,16,7,3,3,4,4,6,12,16,1,1,1,2,3,3,3,3,6,6,6,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,3,
18,6,16,1,2,2,9,3,12,6,6,6,12,12,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,
3,1,1],[1,3,6,18,16,1,2,2,3,9,12,6,6,6,12,12,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,
3,3,6,6,4,8,3,1,1],[1,7,6,6,16,7,2,2,3,3,6,6,6,12,16,1,3,3,6,6,6,6,4,8,8,1,3,
3,4,1,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[
1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,18,18,16,7,6,6,9,9,4,4,18,18,18,36,
12,12,16,16,16,1,1,1,2,3,9,9,3,6,18,6,18,6,18,18,12,12,12,12,4,4,4,16,3,3,9,3,
3,9,3,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,7,18,18,16,
7,2,2,9,9,12,12,18,6,6,36,12,12,16,16,16,1,3,3,6,9,9,9,9,6,6,18,18,6,18,6,12,
12,12,12,4,8,8,16,1,9,9,3,9,3,3,6,6,18,6,6,4,4,4,8,8,3,1,3,3,3,3,3,1,4,3,1,1,
1,1],[1,7,42,42,112,7,14,14,21,21,28,28,42,42,42,84,84,84,112,112,112,64,1,7,
7,14,21,21,21,21,42,42,42,42,42,42,42,84,84,84,84,28,28,28,56,56,112,7,21,21,
21,21,21,21,42,42,42,42,42,64,28,28,28,28,28,28,28,28,28,56,56,56,7,7,21,21,
21,21,21,7,28,28,28,8,21,7,7,7,7,8,8,8,7,7,1]],
[1,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,21,24,24,24,24,24,
24,24,24,24,24,24,24,32,32,32,32,32,32,32,48,48,48,48,56,64,96,96,96,96,168,
168,168,192,192,1344],
[95,93,76,78,47,94,88,87,85,85,81,82,73,76,78,48,58,55,47,47,47,60,95,93,93,
86,85,85,85,85,78,76,73,73,76,73,78,55,58,58,55,81,83,82,71,72,47,94,85,85,85,
85,85,85,78,76,73,76,78,60,81,81,81,83,82,83,83,82,82,70,71,72,93,94,85,85,85,
85,85,94,81,82,83,90,85,93,94,94,94,90,91,92,93,94,95],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,1,1,1,2,1,1,1,1,1,1,2,2,1,2,1,4,
3,3,4,11,6,12,7,8,5,1,2,2,2,2,2,2,4,3,2,3,4,22,42,42,11,43,12,43,6,44,44,26,
45,46,2,6,6,9,10,10,9,48,42,44,43,23,28,73,80,80,48,84,91,92,86,80,95],
[( 3, 8)( 4,13)( 7,11)( 9,20)(10,22)(12,15)(16,21)(17,18),( 1, 3,12)
( 2,14,15,19, 6,10)( 4,18, 7, 9,11,13)( 5,21,22)( 8,16)(17,20)],
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LIBTOM( "2^3:L3(2)x2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,3,10],[1,2,3,4,11],[1,
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5,6,7,33],[1,6,34],[1,4,5,8,35],[1,3,6,8,36],[1,5,6,37],[1,3,5,7,38],[1,8,
39],[1,8,40],[1,6,41],[1,7,8,42],[1,4,6,7,43],[1,5,7,8,44],[1,3,9,45],[1,4,9,
46],[1,6,9,47],[1,8,9,48],[1,7,9,49],[1,2,9,50],[1,5,9,51],[1,52],[1,3,10,
53],[1,2,3,4,10,11,15,54],[1,3,4,10,15,55],[1,3,8,17,20,56],[1,3,6,14,19,57],[
1,2,5,6,13,24,28,58],[1,3,22,59],[1,2,7,8,12,25,30,60],[1,3,5,6,14,16,37,61],[
1,3,4,6,7,14,15,18,43,62],[1,3,6,8,10,14,17,36,63],[1,3,8,17,22,64],[1,2,3,4,
5,6,11,14,16,24,29,65],[1,3,10,22,66],[1,2,3,4,7,8,11,17,18,25,32,67],[1,3,6,
14,22,68],[1,3,5,7,10,16,18,38,69],[1,3,8,17,26,70],[1,3,4,5,8,15,16,17,35,
71],[1,3,6,14,26,72],[1,3,10,26,73],[1,3,7,8,17,18,42,74],[1,2,7,8,20,25,42,
75],[1,4,5,6,19,29,37,76],[1,2,5,6,19,24,37,77],[1,4,7,8,20,32,42,78],[1,3,6,
14,34,79],[1,4,5,6,7,13,29,31,33,43,80],[1,3,8,17,40,81],[1,3,4,7,15,18,22,
82],[1,3,5,10,16,26,83],[1,4,6,7,8,27,30,31,32,43,84],[1,3,5,7,16,18,22,85],[
1,3,4,6,14,15,26,86],[1,3,4,8,15,17,26,87],[1,2,5,6,7,8,21,24,25,31,44,88],[1,
3,8,17,39,89],[1,3,6,7,14,18,26,90],[1,3,4,15,22,26,91],[1,4,5,7,8,12,23,32,
35,44,92],[1,3,5,7,8,17,23,30,38,44,93],[1,3,6,8,14,17,22,94],[1,3,6,8,13,14,
21,27,36,95],[1,3,5,16,22,26,96],[1,3,8,10,17,22,97],[1,3,7,18,22,26,98],[1,3,
22,26,99],[1,3,6,8,12,17,21,27,36,100],[1,3,5,8,16,17,26,101],[1,3,5,6,7,14,
28,31,33,38,102],[1,4,5,6,8,21,23,28,29,35,103],[1,3,6,10,14,22,104],[1,3,4,5,
15,16,22,105],[1,3,7,10,18,26,106],[1,2,3,4,11,22,26,107],[1,2,5,6,7,8,23,24,
25,27,33,108],[1,3,6,14,41,109],[1,4,5,6,29,34,41,110],[1,8,12,20,39,111],[1,
7,8,12,40,42,112],[1,5,6,7,31,34,37,113],[1,6,13,19,34,114],[1,5,6,13,37,41,
115],[1,5,6,28,34,37,116],[1,2,5,6,24,34,41,117],[1,2,3,4,5,6,7,8,11,24,25,35,
36,38,43,118],[1,3,4,5,6,7,8,15,29,32,35,36,38,43,119],[1,3,5,6,7,8,18,30,31,
33,36,38,44,120],[1,3,5,6,7,8,16,23,28,33,36,38,44,121],[1,6,8,20,27,39,122],[
1,6,7,8,27,40,42,123],[1,5,6,8,21,37,41,124],[1,4,5,6,7,8,27,28,29,33,35,43,
44,125],[1,5,6,19,28,41,126],[1,4,5,6,7,8,21,30,32,33,35,43,44,127],[1,4,7,8,
32,39,40,128],[1,7,8,30,39,42,129],[1,5,7,8,23,39,42,130],[1,2,7,8,25,39,40,
131],[1,6,8,19,21,34,132],[1,5,8,20,23,40,133],[1,6,7,19,31,41,134],[1,7,8,20,
30,40,135],[1,6,9,19,136],[1,8,9,20,137],[1,3,9,10,138],[1,6,9,13,139],[1,8,9,
12,140],[1,2,5,6,9,24,47,50,51,141],[1,3,6,8,9,36,45,47,48,142],[1,3,5,7,9,38,
45,49,51,143],[1,2,3,4,9,11,45,46,50,144],[1,4,6,7,9,43,46,47,49,145],[1,2,7,
8,9,25,48,49,50,146],[1,4,5,8,9,35,46,48,51,147],[1,2,52,148],[1,2,3,4,10,11,
15,53,54,55,149],[1,3,6,8,10,12,13,14,17,21,27,36,63,95,100,150],[1,2,3,4,5,6,
11,14,16,19,24,29,37,57,61,65,76,77,151],[1,2,3,4,7,8,11,17,18,20,25,32,42,56,
67,74,75,78,152],[1,2,3,4,11,22,26,59,99,107,153],[1,3,6,8,10,14,17,19,22,36,
57,63,68,94,104,154],[1,3,6,8,10,14,17,34,36,63,79,155],[1,3,5,6,8,10,14,16,
17,26,36,37,61,63,72,83,101,156],[1,3,6,8,10,14,17,22,36,53,63,66,97,104,
157],[1,3,6,8,10,14,17,26,36,63,73,158],[1,3,4,6,8,10,14,15,17,26,36,55,63,73,
86,87,159],[1,3,6,7,8,10,14,17,18,26,36,42,63,70,74,90,106,160],[1,3,4,5,7,10,
15,16,18,22,38,55,66,69,82,105,161],[1,3,5,7,10,16,18,26,38,53,69,73,83,106,
162],[1,3,6,8,10,14,17,36,40,63,81,163],[1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,
24,25,29,32,35,36,38,43,54,62,63,65,67,69,71,118,119,164],[1,3,6,8,10,14,17,
20,22,36,56,63,64,94,97,165],[1,3,5,6,7,8,10,14,16,17,18,23,28,30,31,33,36,38,
44,63,69,93,102,120,121,166],[1,3,4,6,7,14,15,18,19,26,43,57,62,72,86,90,
167],[1,3,6,8,10,14,17,22,36,63,66,168],[1,3,4,5,8,15,16,17,20,26,35,56,70,71,
87,101,169],[1,3,6,8,10,14,17,36,39,63,89,170],[1,3,6,8,10,14,17,36,41,63,109,
171],[1,2,3,4,5,6,11,14,16,22,24,26,29,65,68,72,96,107,172],[1,2,3,4,10,11,15,
22,26,54,66,73,91,107,173],[1,3,4,5,6,7,14,15,16,18,22,37,43,61,62,68,85,105,
174],[1,2,3,4,7,8,11,17,18,22,25,26,32,64,67,70,98,107,175],[1,3,4,5,7,8,15,
16,17,18,22,35,42,64,71,74,82,85,176],[1,2,3,4,5,6,7,8,11,14,16,17,18,22,24,
25,26,29,32,65,67,85,90,94,101,107,177],[1,3,4,5,6,7,8,13,14,15,18,21,27,28,
29,30,31,32,33,35,36,38,43,44,62,80,84,95,102,119,120,125,127,178],[1,3,6,7,8,
12,17,18,21,27,36,40,42,74,81,100,112,123,179],[1,3,5,6,7,14,19,28,31,33,38,
41,57,102,109,126,134,180],[1,3,6,8,13,14,19,21,27,34,36,57,79,95,114,132,
181],[1,3,6,8,10,14,17,22,59,64,66,68,94,97,104,182],[1,3,4,6,7,14,15,18,22,
26,68,82,86,90,91,98,99,183],[1,3,5,6,8,13,14,16,21,27,36,37,41,61,95,109,115,
124,184],[1,3,4,6,7,10,14,15,18,22,26,43,55,62,82,86,91,104,106,185],[1,3,5,6,
7,14,22,28,31,33,38,41,68,102,109,186],[1,3,5,7,10,16,18,22,26,66,83,85,96,98,
99,106,187],[1,3,6,8,13,14,21,26,27,36,41,72,95,109,188],[1,3,6,8,13,14,21,22,
27,34,36,68,79,95,189],[1,3,6,8,12,17,21,22,27,36,39,64,89,100,190],[1,3,4,6,
7,14,15,18,34,41,43,62,79,109,191],[1,2,3,4,5,6,11,14,16,24,29,34,41,65,79,
109,110,117,192],[1,3,6,8,12,17,20,21,27,36,39,56,89,100,111,122,193],[1,3,5,
6,7,14,16,28,31,33,34,37,38,61,79,102,113,116,194],[1,3,4,6,7,8,14,15,17,18,
22,26,42,43,62,74,82,87,90,94,98,195],[1,3,4,6,8,14,15,17,22,26,70,72,86,87,
91,94,99,196],[1,3,5,8,10,16,17,22,26,70,73,83,96,97,99,101,197],[1,3,4,5,6,8,
14,15,16,17,22,26,35,37,61,71,86,94,96,101,105,198],[1,3,6,7,10,14,18,22,26,
72,73,90,98,99,104,106,199],[1,3,5,7,8,17,18,23,30,38,39,42,44,74,89,93,129,
130,200],[1,3,5,6,7,10,14,16,18,22,26,37,38,61,69,83,85,90,96,104,201],[1,2,3,
4,5,6,7,8,11,13,14,16,21,23,24,25,27,28,29,31,33,35,36,38,43,44,58,65,80,88,
95,102,103,108,118,121,125,202],[1,3,5,7,10,16,18,22,26,38,66,69,73,203],[1,3,
5,7,8,17,20,23,30,38,40,44,56,81,93,133,135,204],[1,3,5,6,7,14,26,28,31,33,34,
38,72,79,102,205],[1,3,6,8,12,17,21,26,27,36,40,70,81,100,206],[1,2,3,4,5,6,7,
8,11,12,17,18,21,23,24,25,27,30,31,32,33,35,36,38,43,44,60,67,84,88,92,93,100,
108,118,120,127,207],[1,3,4,5,6,7,8,12,15,16,17,21,23,27,28,29,30,32,33,35,36,
38,43,44,71,92,93,100,103,119,121,125,127,208],[1,3,5,7,8,10,16,17,18,22,26,
38,42,69,74,85,97,98,101,106,209],[1,3,5,7,8,17,23,26,30,38,39,44,70,89,93,
210],[1,3,4,5,8,10,15,16,17,22,26,35,55,71,83,87,91,97,105,211],[1,2,3,4,7,8,
10,11,15,17,18,22,25,26,32,54,67,82,87,97,106,107,212],[1,3,5,7,8,17,22,23,30,
38,40,44,64,81,93,213],[1,3,4,5,7,15,16,18,22,26,59,82,85,91,96,98,105,214],[
1,2,3,4,5,6,10,11,14,15,16,22,24,26,29,54,65,83,86,104,105,107,215],[1,3,4,5,
8,15,16,17,35,39,40,71,81,89,216],[1,3,4,5,8,15,16,17,22,26,64,87,91,96,99,
101,105,217],[1,2,3,4,7,8,11,17,18,25,32,39,40,67,81,89,128,131,218],[1,2,5,6,
13,19,24,28,34,37,41,58,77,114,115,116,117,126,219],[1,2,5,6,7,8,19,21,24,25,
31,34,37,41,44,77,88,113,117,124,132,134,220],[1,2,5,6,7,8,20,23,24,25,27,33,
39,40,42,75,108,122,123,130,131,133,221],[1,4,5,7,8,12,20,23,32,35,39,40,42,
44,78,92,111,112,128,130,133,222],[1,4,6,7,8,20,27,30,31,32,39,40,42,43,78,84,
122,123,128,129,135,223],[1,4,5,6,7,13,19,29,31,33,34,37,41,43,76,80,110,113,
114,115,134,224],[1,4,5,6,8,19,21,23,28,29,34,35,37,41,76,103,110,116,124,126,
132,225],[1,2,7,8,12,20,25,30,39,40,42,60,75,111,112,129,131,135,226],[1,9,52,
227],[1,5,6,9,19,28,41,51,126,136,228],[1,3,6,9,14,19,45,57,136,229],[1,3,6,9,
10,14,22,47,104,138,230],[1,3,8,9,10,17,22,48,97,138,231],[1,3,9,10,45,53,138,
232],[1,3,7,9,10,18,26,49,106,138,233],[1,6,7,9,19,31,41,49,134,136,234],[1,2,
3,4,9,10,11,15,50,54,138,235],[1,3,5,9,10,16,26,51,83,138,236],[1,6,8,9,19,21,
34,48,132,136,237],[1,3,4,9,10,15,46,55,138,238],[1,8,9,12,20,39,48,111,137,
239],[1,3,8,9,17,20,45,56,137,240],[1,2,5,6,9,19,24,37,50,77,136,241],[1,6,9,
13,19,34,47,114,136,242],[1,4,7,8,9,20,32,42,46,78,137,243],[1,7,8,9,20,30,40,
49,135,137,244],[1,4,5,6,9,19,29,37,46,76,136,245],[1,2,7,8,9,20,25,42,50,75,
137,246],[1,6,8,9,20,27,39,47,122,137,247],[1,5,8,9,20,23,40,51,133,137,248],[
1,2,7,8,9,12,25,30,50,60,140,249],[1,8,9,12,20,39,48,111,140,250],[1,7,8,9,12,
40,42,49,112,140,251],[1,6,9,13,19,34,47,114,139,252],[1,2,5,6,9,13,24,28,50,
58,139,253],[1,5,6,9,13,37,41,51,115,139,254],[1,3,9,22,45,59,255],[1,2,3,4,5,
6,7,8,9,11,24,25,35,36,38,43,45,46,47,48,49,50,51,118,141,142,143,144,145,146,
147,256],[1,3,6,8,10,14,17,19,20,22,36,53,56,57,59,63,64,66,68,94,97,104,154,
157,165,182,257],[1,3,6,8,10,12,13,14,17,21,22,27,36,53,63,66,95,97,100,104,
150,157,168,258],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,21,23,24,25,27,
28,29,30,31,32,33,35,36,38,43,44,54,58,60,62,63,65,67,69,71,80,84,88,92,93,95,
100,102,103,108,118,119,120,121,125,127,150,164,166,178,202,207,208,259],[1,3,
4,6,8,10,12,13,14,15,17,21,26,27,36,55,63,73,86,87,95,100,150,158,159,260],[1,
3,6,8,10,14,17,20,22,34,36,56,63,64,66,79,94,97,155,165,168,261],[1,3,6,8,10,
14,17,19,22,36,39,57,63,66,68,89,94,104,154,168,170,262],[1,3,6,8,10,12,13,14,
17,19,21,22,27,34,36,57,63,68,79,94,95,100,104,114,132,150,154,155,181,189,
263],[1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,19,22,24,25,26,29,32,35,36,37,38,
43,54,57,61,62,63,65,67,68,69,71,72,76,77,83,85,86,90,94,96,101,104,105,107,
118,119,151,154,156,164,167,172,174,177,198,201,215,264],[1,3,5,6,7,8,10,14,
16,17,18,19,22,23,28,30,31,33,36,38,41,44,57,63,68,69,93,94,102,104,109,120,
121,126,134,154,166,171,180,186,265],[1,3,4,6,7,8,10,14,15,17,18,19,22,26,36,
42,43,55,57,62,63,68,70,72,73,74,82,86,87,90,91,94,98,99,104,106,154,159,160,
167,183,185,195,196,199,266],[1,3,6,8,10,14,17,19,22,26,36,40,57,63,68,73,81,
94,104,154,158,163,267],[1,3,5,6,8,10,12,13,14,16,17,21,26,27,36,37,41,61,63,
72,83,95,100,101,109,115,124,150,156,171,184,188,268],[1,3,5,6,7,8,10,14,16,
17,18,22,23,26,28,30,31,33,36,38,44,53,63,66,69,73,83,93,97,102,104,106,120,
121,157,158,162,166,203,269],[1,3,6,8,10,14,17,22,34,36,39,53,63,66,79,89,97,
104,155,157,170,270],[1,3,6,7,8,10,14,17,18,26,34,36,42,63,70,73,74,79,90,106,
155,158,160,271],[1,3,4,6,8,10,14,15,17,26,34,36,40,55,63,73,79,81,86,87,155,
159,163,272],[1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,24,25,29,32,34,35,36,38,41,
43,54,62,63,65,67,69,71,79,109,110,117,118,119,155,164,171,191,192,273],[1,3,
5,6,7,8,10,14,16,17,18,23,26,28,30,31,33,34,36,37,38,44,61,63,69,72,79,83,93,
101,102,113,116,120,121,155,156,166,194,205,274],[1,2,3,4,5,6,7,8,10,11,14,15,
16,17,18,20,22,24,25,26,29,32,35,36,38,42,43,54,56,62,63,64,65,67,69,70,71,74,
75,78,82,85,87,90,94,97,98,101,106,107,118,119,152,160,164,165,169,175,176,
177,195,209,212,275],[1,3,6,8,10,12,13,14,17,20,21,22,27,36,39,56,63,64,89,94,
95,97,100,111,122,150,165,170,190,193,276],[1,3,5,6,7,8,10,14,16,17,18,20,22,
23,28,30,31,33,36,38,40,44,56,63,64,69,81,93,94,97,102,120,121,133,135,163,
165,166,204,213,277],[1,3,6,7,8,10,12,13,14,17,18,21,26,27,36,40,42,63,70,74,
81,90,95,100,106,112,123,150,160,163,179,206,278],[1,3,5,6,7,8,10,14,16,17,18,
22,26,36,37,38,42,53,61,63,66,69,70,72,73,74,83,85,90,96,97,98,99,101,104,106,
156,157,160,162,187,197,199,201,209,279],[1,2,3,4,5,6,7,8,10,11,14,15,16,17,
18,22,24,25,26,29,32,35,36,38,43,53,54,55,62,63,65,66,67,69,71,73,82,83,86,87,
91,97,104,105,106,107,118,119,149,157,159,161,162,164,173,185,211,212,215,
280],[1,3,6,8,10,14,17,22,36,40,41,53,63,66,81,97,104,109,157,163,171,281],[1,
3,5,6,8,10,14,16,17,26,36,37,39,61,63,72,73,83,89,101,156,158,170,282],[1,3,5,
6,7,8,10,14,16,17,18,23,26,28,30,31,33,36,38,39,42,44,63,69,70,74,89,90,93,
102,106,120,121,129,130,160,166,170,200,210,283],[1,3,4,6,8,10,14,15,17,26,36,
39,41,55,63,73,86,87,89,109,159,170,171,284],[1,2,3,4,5,6,7,8,10,11,14,15,16,
17,18,24,25,29,32,35,36,38,39,40,43,54,62,63,65,67,69,71,81,89,118,119,128,
131,163,164,170,216,218,285],[1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,22,24,25,
26,29,32,35,36,38,43,54,62,63,65,66,67,69,71,73,91,107,118,119,158,164,168,
173,203,286],[1,3,6,7,8,10,14,17,18,22,26,36,41,42,63,66,70,74,90,106,109,160,
168,171,287],[1,3,4,5,6,7,8,10,14,15,16,17,18,22,23,26,28,30,31,33,36,38,44,
55,63,66,69,73,82,86,87,93,102,105,120,121,159,161,166,168,203,288],[1,3,4,5,
6,8,10,14,15,16,17,20,22,26,35,36,37,55,56,61,63,64,70,71,72,73,83,86,87,91,
94,96,97,99,101,105,156,159,165,169,196,197,198,211,217,289],[1,3,5,6,8,10,14,
16,17,22,26,36,37,40,61,63,66,72,81,83,101,156,163,168,290],[1,3,6,8,10,14,17,
20,22,26,36,41,56,63,64,73,94,97,109,158,165,171,291],[1,3,4,5,6,7,8,13,14,15,
18,19,21,26,27,28,29,30,31,32,33,34,35,36,38,41,43,44,57,62,72,79,80,84,86,90,
95,102,109,114,119,120,125,126,127,132,134,167,178,180,181,188,191,205,292],[
1,2,3,4,5,6,7,8,11,13,14,16,19,21,23,24,25,27,28,29,31,33,34,35,36,37,38,41,
43,44,57,58,61,65,76,77,79,80,88,95,102,103,108,109,110,113,114,115,116,117,
118,121,124,125,126,132,134,151,180,181,184,192,194,202,219,220,224,225,293],[
1,3,4,5,6,7,8,12,15,16,17,18,21,22,23,27,28,29,30,32,33,35,36,38,39,40,42,43,
44,64,71,74,81,82,85,89,92,93,100,103,112,119,121,123,125,127,129,130,176,179,
190,200,208,213,216,294],[1,3,4,5,6,7,8,12,15,16,17,20,21,23,26,27,28,29,30,
32,33,35,36,38,39,40,43,44,56,70,71,81,87,89,92,93,100,101,103,111,119,121,
122,125,127,133,135,169,193,204,206,208,210,216,295],[1,3,4,5,6,7,8,13,14,15,
16,18,21,22,27,28,29,30,31,32,33,34,35,36,37,38,41,43,44,61,62,68,79,80,84,85,
95,102,105,109,113,115,116,119,120,124,125,127,174,178,184,186,189,191,194,
296],[1,2,3,4,5,6,7,8,11,12,17,18,21,22,23,24,25,26,27,30,31,32,33,35,36,38,
39,40,43,44,60,64,67,70,81,84,88,89,92,93,98,100,107,108,118,120,127,128,131,
175,190,206,207,210,213,218,297],[1,2,3,4,5,6,7,8,11,12,17,18,20,21,23,24,25,
27,30,31,32,33,35,36,38,39,40,42,43,44,56,60,67,74,75,78,81,84,88,89,92,93,
100,108,111,112,118,120,122,123,127,128,129,130,131,133,135,152,179,193,200,
204,207,218,221,222,223,226,298],[1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,22,24,
25,26,29,32,54,59,64,65,66,67,68,70,72,73,82,83,85,86,87,90,91,94,96,97,98,99,
101,104,105,106,107,153,172,173,175,177,182,183,187,196,197,199,212,214,215,
217,299],[1,2,3,4,5,6,7,8,11,13,14,16,21,22,23,24,25,26,27,28,29,31,33,34,35,
36,38,41,43,44,58,65,68,72,79,80,88,95,96,102,103,107,108,109,110,117,118,121,
125,172,186,188,189,192,202,205,300],[1,3,4,5,6,7,8,10,14,15,16,17,18,22,26,
35,37,38,42,43,55,59,61,62,64,66,68,69,71,74,82,83,85,86,87,90,91,94,96,97,98,
99,101,104,105,106,161,174,176,182,183,185,187,195,198,201,209,211,214,217,
301],[1,2,9,50,52,148,227,302],[1,3,6,8,9,10,12,13,14,17,21,27,36,63,95,100,
138,139,140,150,303],[1,4,5,6,7,9,13,19,29,31,33,34,37,41,43,46,47,49,76,80,
110,113,114,115,134,136,145,224,234,242,245,304],[1,2,5,6,9,13,19,24,28,34,37,
41,47,50,51,58,77,114,115,116,117,126,136,141,219,228,241,242,305],[1,4,5,6,8,
9,19,21,23,28,29,34,35,37,41,46,48,51,76,103,110,116,124,126,132,136,147,225,
228,237,245,306],[1,3,4,6,7,9,10,14,15,18,22,26,43,46,47,49,55,62,82,86,91,
104,106,138,145,185,230,233,238,307],[1,3,6,8,9,13,14,19,21,27,34,36,45,47,48,
57,79,95,114,132,136,142,181,229,237,242,308],[1,3,5,6,7,9,14,19,28,31,33,38,
41,45,49,51,57,102,109,126,134,136,143,180,228,229,234,309],[1,2,3,4,5,6,9,11,
14,16,19,24,29,37,45,46,50,57,61,65,76,77,136,144,151,229,241,245,310],[1,2,5,
6,7,8,9,19,21,24,25,31,34,37,41,44,48,49,50,77,88,113,117,124,132,134,136,146,
220,234,237,241,311],[1,3,6,8,9,10,14,17,22,36,45,47,48,53,63,66,97,104,138,
142,157,230,231,232,312],[1,3,6,8,9,12,17,20,21,27,36,39,45,47,48,56,89,100,
111,122,137,142,193,239,240,247,313],[1,2,3,4,7,8,9,11,17,18,20,25,32,42,45,
46,50,56,67,74,75,78,137,144,152,240,243,246,314],[1,3,5,7,8,9,17,20,23,30,38,
40,44,45,49,51,56,81,93,133,135,137,143,204,240,244,248,315],[1,3,4,5,8,9,10,
15,16,17,22,26,35,46,48,51,55,71,83,87,91,97,105,138,147,211,231,236,238,
316],[1,4,6,7,8,9,20,27,30,31,32,39,40,42,43,46,47,49,78,84,122,123,128,129,
135,137,145,223,243,244,247,317],[1,2,3,4,5,6,9,10,11,14,15,16,22,24,26,29,47,
50,51,54,65,83,86,104,105,107,138,141,215,230,235,236,318],[1,2,3,4,7,8,9,10,
11,15,17,18,22,25,26,32,48,49,50,54,67,82,87,97,106,107,138,146,212,231,233,
235,319],[1,4,5,7,8,9,12,20,23,32,35,39,40,42,44,46,48,51,78,92,111,112,128,
130,133,137,147,222,239,243,248,320],[1,3,5,7,9,10,16,18,26,38,45,49,51,53,69,
73,83,106,138,143,162,232,233,236,321],[1,2,3,4,9,10,11,15,45,46,50,53,54,55,
138,144,149,232,235,238,322],[1,2,7,8,9,12,20,25,30,39,40,42,48,49,50,60,75,
111,112,129,131,135,137,146,226,239,244,246,323],[1,2,5,6,7,8,9,20,23,24,25,
27,33,39,40,42,47,50,51,75,108,122,123,130,131,133,137,141,221,246,247,248,
324],[1,2,5,6,9,13,19,24,28,34,37,41,47,50,51,58,77,114,115,116,117,126,139,
141,219,252,253,254,325],[1,2,7,8,9,12,20,25,30,39,40,42,48,49,50,60,75,111,
112,129,131,135,140,146,226,249,250,251,326],[1,2,3,4,9,11,22,26,45,46,50,59,
99,107,144,153,255,327],[1,3,10,52,53,328],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,
16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,43,44,53,54,55,58,60,
62,63,65,66,67,69,71,73,80,82,83,84,86,87,88,91,92,93,95,97,100,102,103,104,
105,106,107,108,118,119,120,121,125,127,149,150,157,158,159,161,162,164,166,
168,173,178,185,202,203,207,208,211,212,215,258,259,260,269,280,286,288,329],[
1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,19,20,22,24,25,26,29,32,35,36,37,38,42,
43,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,82,
83,85,86,87,90,91,94,96,97,98,99,101,104,105,106,107,118,119,149,151,152,153,
154,156,157,159,160,161,162,164,165,167,169,172,173,174,175,176,177,182,183,
185,187,195,196,197,198,199,201,209,211,212,214,215,217,257,264,266,275,279,
280,289,299,301,330],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,21,22,23,
24,25,26,27,28,29,30,31,32,33,35,36,38,39,40,42,43,44,54,56,58,60,62,63,64,65,
67,69,70,71,74,75,78,80,81,82,84,85,87,88,89,90,92,93,94,95,97,98,100,101,102,
103,106,107,108,111,112,118,119,120,121,122,123,125,127,128,129,130,131,133,
135,150,152,160,163,164,165,166,169,170,175,176,177,178,179,190,193,195,200,
202,204,206,207,208,209,210,212,213,216,218,221,222,223,226,259,275,276,277,
278,283,285,294,295,297,298,331],[1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,19,22,
24,25,26,29,32,35,36,37,38,39,40,43,54,57,61,62,63,65,66,67,68,69,71,72,73,76,
77,81,83,85,86,89,90,91,94,96,101,104,105,107,118,119,128,131,151,154,156,158,
163,164,167,168,170,172,173,174,177,198,201,203,215,216,218,262,264,267,282,
285,286,290,332],[1,3,6,8,10,12,13,14,17,19,20,21,22,27,34,36,39,53,56,57,59,
63,64,66,68,79,89,94,95,97,100,104,111,114,122,132,150,154,155,157,165,168,
170,181,182,189,190,193,257,258,261,262,263,270,276,333],[1,3,4,6,7,8,10,12,
13,14,15,17,18,19,21,22,26,27,34,36,40,42,43,55,57,62,63,68,70,72,73,74,79,81,
82,86,87,90,91,94,95,98,99,100,104,106,112,114,123,132,150,154,155,158,159,
160,163,167,179,181,183,185,189,195,196,199,206,260,263,266,267,271,272,278,
334],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,41,43,44,54,57,58,60,61,62,63,65,67,68,69,71,72,
76,77,79,80,83,84,85,86,88,90,92,93,94,95,96,100,101,102,103,104,105,107,108,
109,110,113,114,115,116,117,118,119,120,121,124,125,126,127,132,134,150,151,
154,155,156,164,166,167,171,172,174,177,178,180,181,184,186,188,189,191,192,
194,198,201,202,205,207,208,215,219,220,224,225,259,263,264,265,268,273,274,
292,293,296,300,335],[1,3,4,5,6,7,8,10,14,15,16,17,18,19,22,23,26,28,30,31,33,
36,38,39,41,42,43,44,55,57,62,63,66,68,69,70,72,73,74,82,86,87,89,90,91,93,94,
98,99,102,104,105,106,109,120,121,126,129,130,134,154,159,160,161,166,167,168,
170,171,180,183,185,186,195,196,199,200,203,210,262,265,266,283,284,287,288,
336],[1,3,4,5,6,8,10,12,13,14,15,16,17,20,21,22,26,27,35,36,37,39,41,55,56,61,
63,64,70,71,72,73,83,86,87,89,91,94,95,96,97,99,100,101,105,109,111,115,122,
124,150,156,158,159,165,169,170,171,184,188,190,193,196,197,198,211,217,260,
268,276,282,284,289,291,337],[1,3,5,6,7,8,10,14,16,17,18,19,20,22,23,26,28,30,
31,33,36,38,40,41,44,53,56,57,59,63,64,66,68,69,73,81,83,93,94,97,102,104,106,
109,120,121,126,133,134,135,154,157,158,162,163,165,166,171,180,182,186,203,
204,213,257,265,267,269,277,281,291,338],[1,2,3,4,5,6,7,8,10,11,14,15,16,17,
18,22,24,25,26,29,32,34,35,36,38,39,40,41,43,53,54,55,62,63,65,66,67,69,71,73,
79,81,82,83,86,87,89,91,97,104,105,106,107,109,110,117,118,119,128,131,149,
155,157,159,161,162,163,164,170,171,173,185,191,192,211,212,215,216,218,270,
272,273,280,281,284,285,339],[1,3,4,5,6,7,8,10,14,15,16,17,18,20,22,23,26,28,
30,31,33,34,35,36,37,38,40,44,55,56,61,63,64,66,69,70,71,72,73,79,81,82,83,86,
87,91,93,94,96,97,99,101,102,105,113,116,120,121,133,135,155,156,159,161,163,
165,166,168,169,194,196,197,198,203,204,205,211,213,217,261,272,274,277,288,
289,290,340],[1,3,5,6,7,8,10,14,16,17,18,22,23,26,28,30,31,33,34,36,37,38,39,
42,44,53,61,63,66,69,70,72,73,74,79,83,85,89,90,93,96,97,98,99,101,102,104,
106,113,116,120,121,129,130,155,156,157,158,160,162,166,170,187,194,197,199,
200,201,203,205,209,210,269,270,271,274,279,282,283,341],[1,3,5,6,7,8,10,12,
13,14,16,17,18,21,22,26,27,36,37,38,40,41,42,53,61,63,66,69,70,72,73,74,81,83,
85,90,95,96,97,98,99,100,101,104,106,109,112,115,123,124,150,156,157,160,162,
163,168,171,179,184,187,188,197,199,201,206,209,258,268,278,279,281,287,290,
342],[1,2,3,4,5,6,7,8,10,11,14,15,16,17,18,20,22,24,25,26,29,32,34,35,36,38,
41,42,43,54,56,62,63,64,65,66,67,69,70,71,73,74,75,78,79,82,85,87,90,91,94,97,
98,101,106,107,109,110,117,118,119,152,155,158,160,164,165,168,169,171,173,
175,176,177,191,192,195,203,209,212,261,271,273,275,286,287,291,343],[1,3,6,7,
8,9,10,12,13,14,17,18,21,26,27,36,40,42,49,63,70,74,81,90,95,100,106,112,123,
138,139,140,150,160,163,179,206,233,251,278,303,344],[1,3,6,8,9,10,14,17,19,
20,22,36,45,53,56,57,59,63,64,66,68,94,97,104,136,137,138,154,157,165,182,229,
232,240,255,257,345],[1,3,4,6,8,9,10,12,13,14,15,17,21,26,27,36,46,55,63,73,
86,87,95,100,138,139,140,150,158,159,238,260,303,346],[1,3,6,8,9,10,12,13,14,
17,21,22,27,36,45,53,63,66,95,97,100,104,138,139,140,150,157,168,232,258,303,
347],[1,3,5,6,8,9,10,12,13,14,16,17,21,26,27,36,37,41,51,61,63,72,83,95,100,
101,109,115,124,138,139,140,150,156,171,184,188,236,254,268,303,348],[1,2,3,4,
5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,23,24,25,27,28,29,30,31,32,33,35,36,
38,43,44,50,54,58,60,62,63,65,67,69,71,80,84,88,92,93,95,100,102,103,108,118,
119,120,121,125,127,138,139,140,150,164,166,178,202,207,208,235,249,253,259,
303,349],[1,3,6,8,9,10,12,13,14,17,20,21,22,27,36,39,48,56,63,64,89,94,95,97,
100,111,122,138,139,140,150,165,170,190,193,231,250,276,303,350],[1,3,6,8,9,
10,12,13,14,17,19,21,22,27,34,36,47,57,63,68,79,94,95,100,104,114,132,138,139,
140,150,154,155,181,189,230,252,263,303,351],[1,2,3,4,5,6,7,8,9,10,11,14,15,
16,17,18,22,24,25,26,29,32,35,36,38,43,45,46,47,48,49,50,51,53,54,55,62,63,65,
66,67,69,71,73,82,83,86,87,91,97,104,105,106,107,118,119,138,141,142,143,144,
145,146,147,149,157,159,161,162,164,173,185,211,212,215,230,231,232,233,235,
236,238,256,280,307,312,316,318,319,321,322,352],[1,2,3,4,5,6,7,8,9,11,13,14,
16,19,21,23,24,25,27,28,29,31,33,34,35,36,37,38,41,43,44,45,46,47,48,49,50,51,
57,58,61,65,76,77,79,80,88,95,102,103,108,109,110,113,114,115,116,117,118,121,
124,125,126,132,134,136,141,142,143,144,145,146,147,151,180,181,184,192,194,
202,219,220,224,225,228,229,234,237,241,242,245,256,293,304,305,306,308,309,
310,311,353],[1,2,3,4,5,6,7,8,9,11,12,17,18,20,21,23,24,25,27,30,31,32,33,35,
36,38,39,40,42,43,44,45,46,47,48,49,50,51,56,60,67,74,75,78,81,84,88,89,92,93,
100,108,111,112,118,120,122,123,127,128,129,130,131,133,135,137,141,142,143,
144,145,146,147,152,179,193,200,204,207,218,221,222,223,226,239,240,243,244,
246,247,248,256,298,313,314,315,317,320,323,324,354],[1,2,3,4,10,11,15,52,53,
54,55,148,149,328,355],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,149,150,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,222,223,224,225,226,257,258,259,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,
282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,
301,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,356],[1,8,9,
12,20,39,48,52,111,137,140,227,239,250,357],[1,6,9,13,19,34,47,52,114,136,139,
227,242,252,358],[1,3,9,10,45,52,53,138,227,232,328,359],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,38,43,
44,45,46,50,53,54,55,58,60,62,63,65,66,67,69,71,73,80,82,83,84,86,87,88,91,92,
93,95,97,100,102,103,104,105,106,107,108,118,119,120,121,125,127,138,139,140,
144,149,150,157,158,159,161,162,164,166,168,173,178,185,202,203,207,208,211,
212,215,232,235,238,249,253,258,259,260,269,280,286,288,303,322,329,346,347,
349,360],[1,2,3,4,5,6,7,8,9,10,11,14,15,16,17,18,19,20,22,24,25,26,29,32,35,
36,37,38,42,43,45,46,50,53,54,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,82,83,85,86,87,90,91,94,96,97,98,99,101,104,105,106,107,118,
119,136,137,138,144,149,151,152,153,154,156,157,159,160,161,162,164,165,167,
169,172,173,174,175,176,177,182,183,185,187,195,196,197,198,199,201,209,211,
212,214,215,217,229,232,235,238,240,241,243,245,246,255,257,264,266,275,279,
280,289,299,301,310,314,322,327,330,345,361],[1,3,5,6,7,8,9,10,14,16,17,18,19,
20,22,23,26,28,30,31,33,36,38,40,41,44,45,49,51,53,56,57,59,63,64,66,68,69,73,
81,83,93,94,97,102,104,106,109,120,121,126,133,134,135,136,137,138,143,154,
157,158,162,163,165,166,171,180,182,186,203,204,213,228,229,232,233,234,236,
240,244,248,255,257,265,267,269,277,281,291,309,315,321,338,345,362],[1,3,6,8,
9,10,12,13,14,17,19,20,21,22,27,34,36,39,45,47,48,53,56,57,59,63,64,66,68,79,
89,94,95,97,100,104,111,114,122,132,136,137,138,142,150,154,155,157,165,168,
170,181,182,189,190,193,229,230,231,232,237,239,240,242,247,255,257,258,261,
262,263,270,276,308,312,313,333,345,363],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,43,44,47,
50,51,54,57,58,60,61,62,63,65,67,68,69,71,72,76,77,79,80,83,84,85,86,88,90,92,
93,94,95,96,100,101,102,103,104,105,107,108,109,110,113,114,115,116,117,118,
119,120,121,124,125,126,127,132,134,138,139,140,141,150,151,154,155,156,164,
166,167,171,172,174,177,178,180,181,184,186,188,189,191,192,194,198,201,202,
205,207,208,215,219,220,224,225,230,235,236,249,252,253,254,259,263,264,265,
268,273,274,292,293,296,300,303,318,325,335,348,349,351,364],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,
38,39,40,42,43,44,48,49,50,54,56,58,60,62,63,64,65,67,69,70,71,74,75,78,80,81,
82,84,85,87,88,89,90,92,93,94,95,97,98,100,101,102,103,106,107,108,111,112,
118,119,120,121,122,123,125,127,128,129,130,131,133,135,138,139,140,146,150,
152,160,163,164,165,166,169,170,175,176,177,178,179,190,193,195,200,202,204,
206,207,208,209,210,212,213,216,218,221,222,223,226,231,233,235,249,250,251,
253,259,275,276,277,278,283,285,294,295,297,298,303,319,326,331,344,349,350,
365],[1,3,6,8,9,10,12,13,14,17,19,20,21,22,27,34,36,39,45,47,48,53,56,57,59,
63,64,66,68,79,89,94,95,97,100,104,111,114,122,132,138,139,140,142,150,154,
155,157,165,168,170,181,182,189,190,193,230,231,232,250,252,257,258,261,262,
263,270,276,303,312,333,347,350,351,366],[1,3,4,6,7,8,9,10,12,13,14,15,17,18,
19,21,22,26,27,34,36,40,42,43,46,47,49,55,57,62,63,68,70,72,73,74,79,81,82,86,
87,90,91,94,95,98,99,100,104,106,112,114,123,132,138,139,140,145,150,154,155,
158,159,160,163,167,179,181,183,185,189,195,196,199,206,230,233,238,251,252,
260,263,266,267,271,272,278,303,307,334,344,346,351,367],[1,3,4,5,6,8,9,10,12,
13,14,15,16,17,20,21,22,26,27,35,36,37,39,41,46,48,51,55,56,61,63,64,70,71,72,
73,83,86,87,89,91,94,95,96,97,99,100,101,105,109,111,115,122,124,138,139,140,
147,150,156,158,159,165,169,170,171,184,188,190,193,196,197,198,211,217,231,
236,238,250,254,260,268,276,282,284,289,291,303,316,337,346,348,350,368],[1,3,
5,6,7,8,9,10,12,13,14,16,17,18,21,22,26,27,36,37,38,40,41,42,45,49,51,53,61,
63,66,69,70,72,73,74,81,83,85,90,95,96,97,98,99,100,101,104,106,109,112,115,
123,124,138,139,140,143,150,156,157,160,162,163,168,171,179,184,187,188,197,
199,201,206,209,232,233,236,251,254,258,268,278,279,281,287,290,303,321,342,
344,347,348,369],[1,2,7,8,9,12,20,25,30,39,40,42,48,49,50,52,60,75,111,112,
129,131,135,137,140,146,148,226,227,239,244,246,249,250,251,302,323,326,357,
370],[1,2,5,6,9,13,19,24,28,34,37,41,47,50,51,52,58,77,114,115,116,117,126,
136,139,141,148,219,227,228,241,242,252,253,254,302,305,325,358,371],[1,2,3,4,
9,10,11,15,45,46,50,52,53,54,55,138,144,148,149,227,232,235,238,302,322,328,
355,359,372],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,141,142,
143,144,145,146,147,149,150,151,152,153,154,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,
220,221,222,223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,248,255,256,257,258,259,260,261,262,263,264,
265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,327,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,345,352,
353,354,356,361,362,363,373],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,138,
139,140,141,142,143,144,145,146,147,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,230,231,232,233,235,236,238,249,
250,251,252,253,254,256,257,258,259,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,299,300,301,303,307,312,316,318,319,
321,322,325,326,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,
344,346,347,348,349,350,351,352,356,360,364,365,366,367,368,369,374],[1,3,6,8,
9,10,12,13,14,17,19,20,21,22,27,34,36,39,45,47,48,52,53,56,57,59,63,64,66,68,
79,89,94,95,97,100,104,111,114,122,132,136,137,138,139,140,142,150,154,155,
157,165,168,170,181,182,189,190,193,227,229,230,231,232,237,239,240,242,247,
250,252,255,257,258,261,262,263,270,276,303,308,312,313,328,333,345,347,350,
351,357,358,359,363,366,375],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,
346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,
365,366,367,368,369,370,371,372,373,374,375,376]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1,1,1],[1,
3,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,3,
1],[1,1,2,1],[1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1],[1,2,1,1],[1,2,
1,1],[1,1,1,1,1],[1,2,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1],[1,1,1,1,
1],[1,1,1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,2,1,1],[1,1,1,
1,1],[1,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[
1,3,1,1],[1,1],[1,7,7,1],[1,1,3,3,1,3,3,1],[1,3,4,1,6,1],[1,1,6,3,4,1],[1,1,6,
3,4,1],[1,1,3,3,1,3,3,1],[1,1,3,1],[1,1,3,3,1,3,3,1],[1,1,4,2,1,2,4,1],[1,1,2,
2,2,1,1,1,4,1],[1,3,2,2,1,1,1,4,1],[1,1,2,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,
3,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,1,2,1],[1,3,2,2,1,1,1,4,1],[1,1,2,1,
2,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,1,2,1],[1,3,1,2,1],[1,1,4,2,1,2,4,1],[1,1,3,
3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,2,1,2,
1],[1,1,1,3,2,1,1,1,2,2,1],[1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,
1,2,3,1,1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,
1,1,1,2,2,1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,
1,3,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,4,2,1,1,1,2,2,
1],[1,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,1,2,1],[1,1,2,4,1,1,2,
1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,3,1,2,1,2,1,1,2,1],[1,3,
2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,
2,1,1,2,1],[1,1,2,1,2,1],[1,1,1,1,1,1,1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,
1,2,1,1,1,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,4,1,1,1,1,1],[1,1,1,1,1,1,1,1],[
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,3,1,
1,1,1,1,1,1,1,1],[1,1,3,1,1,1,1,1,1,1,1,1,1,1],[1,2,3,1,1,1,1],[1,2,2,1,1,1,1,
1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,3,1,1,1,1],[1,1,1,1,2,
2,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,4,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,1,1,
1,1,1,1,1],[1,3,2,1,1,1,1],[1,2,3,1,1,1,1],[1,3,2,1,1,1,1],[1,2,3,1,1,1,1],[1,
3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,3,3,1,3,1,1,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,3,3,
1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1],[1,1,7,7,7,
7,21,1,7,7,1],[1,3,6,6,1,2,2,3,3,6,6,12,3,6,6,1],[1,1,1,1,6,6,1,3,3,4,6,6,12,
1,3,3,4,4,1],[1,1,1,1,6,6,1,3,3,4,6,6,12,1,3,3,4,4,1],[1,1,1,1,1,3,3,1,3,3,
1],[1,3,6,2,1,3,1,4,2,4,1,1,1,2,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,4,2,2,1,1,
2,1,2,4,4,1,1,1,2,2,1],[1,7,2,2,7,1,1,2,4,1,1,1,2,2,1],[1,3,2,2,1,1,1,4,4,1,2,
1],[1,3,4,2,2,1,1,6,1,2,4,1,1,1,2,2,1],[1,3,2,4,2,1,1,1,2,2,4,4,1,1,1,2,2,1],[
1,3,4,2,2,1,6,1,1,2,4,1,1,1,2,2,1],[1,7,2,2,7,1,1,2,4,1,1,1,2,2,1],[1,3,2,2,1,
1,1,4,4,1,2,1],[1,1,3,3,2,2,2,2,1,3,1,3,1,1,1,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,4,
4,1],[1,3,2,6,1,1,3,4,2,4,1,1,1,2,2,1],[1,3,4,2,4,2,1,1,2,1,2,2,2,2,2,4,4,8,4,
1,2,2,2,4,4,1],[1,1,2,6,2,3,1,1,4,2,4,1,1,1,2,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[
1,1,2,2,6,1,1,3,4,2,4,1,1,1,2,2,1],[1,3,2,2,1,1,1,4,4,1,2,1],[1,3,2,2,1,1,1,4,
4,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,
1],[1,1,2,4,2,2,1,1,2,1,2,4,4,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,2,
2,1],[1,1,2,2,4,2,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,1,1,2,2,2,2,1,1,1,1,1,1,2,2,
1,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,4,2,1,1,1,1,1,2,1,2,2,3,2,4,2,2,2,6,2,1,2,2,
1,1,2,2,2,2,1],[1,1,2,4,4,1,1,2,2,1,2,2,4,1,1,1,2,2,1],[1,1,2,6,2,3,4,1,1,2,2,
2,1,1,1,2,2,1],[1,1,8,2,1,3,4,1,2,2,2,1,1,1,2,2,1],[1,3,2,2,1,1,1,4,1,1,1,1,1,
1,1,1],[1,1,2,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,2,1,1,2,1,2,2,4,2,1,1,1,
2,2,1],[1,3,4,2,2,1,1,6,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,2,1,1,2,2,2,1,1,
1,1],[1,3,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,
4,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,2,
2,4,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,1,3,4,2,1,2,2,1,
1,1,2,2,1],[1,1,6,2,2,1,2,1,1,2,2,4,2,1,1,1,2,2,1],[1,1,2,2,4,2,1,1,1,2,1,1,4,
4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,1,3,1,
1,1,1,1,1,1,1],[1,1,2,4,2,2,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,1,
3,1,1,1,1,1,1,1,1],[1,1,2,6,2,1,2,1,1,2,2,4,2,1,1,1,2,2,1],[1,3,4,2,2,1,1,2,1,
1,1,4,4,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,2,2,1,1,1,1,1,2,4,2,2,3,2,1,4,2,2,2,2,2,
1,1,1,1,1,1,1,2,2,2,2,1],[1,3,2,2,1,1,1,2,2,4,1,1,1,1],[1,1,2,2,6,3,4,1,1,2,2,
2,1,1,1,2,2,1],[1,1,2,2,2,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,1,1,2,2,1,2,2,1,1,1,
1],[1,1,1,1,2,2,4,4,1,1,1,1,2,1,2,4,1,3,2,2,2,2,2,2,2,4,1,1,1,2,1,1,1,1,2,2,2,
1],[1,1,2,4,2,2,4,1,1,1,1,2,3,1,2,2,1,2,2,6,2,2,2,4,1,2,1,1,2,2,2,2,2,1],[1,3,
2,4,2,1,1,1,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,3,
4,2,2,1,6,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,3,1,1,1,2,1,2,1,1,1,1,1,
1,1,1],[1,1,2,2,2,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,3,1,1,1,1,1,1,1,1,
1],[1,1,3,3,2,2,1,3,1,3,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,4,2,2,1,1,
1,1],[1,1,2,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,2,
2,1],[1,1,5,5,1,1,5,3,1,3,1,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,1,3,2,1,1,3,1,2,1,
1,1,1,1,1,1,1],[1,1,2,2,3,3,1,1,2,3,1,2,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,3,5,1,1,
1,3,2,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,2,5,3,1,1,1,2,3,1,1,3,2,1,1,1,1,1,1,1,1],[
1,1,3,5,2,1,1,3,1,2,1,3,1,2,1,1,1,1,1,1,1,1],[1,1,5,3,2,1,1,2,1,3,1,2,3,1,1,1,
1,1,1,1,1,1],[1,1,5,5,1,1,5,3,1,1,3,1,1,1,1,1,1,1,1],[1,7,1,1],[1,6,3,4,1,3,3,
4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,7,4,7,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,
4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,4,1,6,
4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,
1],[1,9,4,3,1,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,
1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,
3,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,6,3,4,1,
3,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,3,4,
3,1,1],[1,1,4,3,4,1,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,
1,1,1,1,1],[1,7,6,6,7,3,3,4,4,6,12,1,1,1,2,3,3,3,3,6,6,6,3,3,3,6,1],[1,7,6,6,
7,2,2,3,3,6,6,6,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,3,3,6,6,6,6,1,3,2,2,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,2,2,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
12,12,12,12,12,12,1,3,3,6,6,6,6,1],[1,3,4,6,6,1,2,2,3,6,3,6,6,6,12,1,3,3,6,6,
6,6,1,3,3,1],[1,3,2,6,1,1,3,4,6,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,6,2,1,3,1,4,6,
4,4,1,1,2,1,2,2,2,1,1,1,1],[1,3,10,6,1,2,2,5,3,4,6,2,6,4,12,1,3,1,2,2,6,6,2,4,
4,1,1,1,2,2,1],[1,1,3,3,6,6,2,2,1,3,3,3,3,1,1,4,2,6,2,2,6,2,4,4,12,4,4,1,1,3,
1,1,3,1,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,6,
4,2,1,3,2,1,2,4,2,2,2,2,2,4,4,8,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,
3,4,6,4,2,1,3,6,1,2,4,2,4,4,4,8,1,1,2,1,1,1,2,1,1,2,4,2,4,2,2,2,2,2,2,1,1,1,2,
2,2,2,2,2,1],[1,3,6,2,1,3,1,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,6,6,1,2,2,
3,2,3,6,2,6,12,4,4,1,3,1,2,6,6,2,2,4,4,1,1,1,2,2,1],[1,7,4,2,4,2,7,1,2,1,2,2,
2,4,2,2,2,4,4,8,4,1,1,1,2,2,4,2,2,2,2,4,4,4,1,1,2,1,2,1],[1,7,2,2,7,1,1,2,4,4,
4,1,1,1,2,2,2,2,1,1,1,1],[1,3,2,4,2,1,1,1,2,6,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,
3,4,2,2,1,1,6,1,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,3,2,2,2,2,1,3,1,3,1,1,1,
2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,8,2,4,2,1,1,4,
1,2,2,2,2,2,2,4,4,4,4,8,4,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,3,3,2,2,
6,6,1,3,1,3,1,3,3,4,2,2,6,2,2,6,4,4,4,12,4,1,1,1,1,1,1,3,1,1,1,3,4,4,2,2,2,2,
2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,6,10,1,2,2,3,5,4,6,2,6,12,4,1,3,
1,2,2,6,2,6,4,4,1,1,1,2,2,1],[1,3,4,2,4,6,1,1,2,3,2,4,2,2,2,2,2,4,4,8,4,4,1,1,
1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,6,4,6,1,2,2,3,3,2,6,2,6,12,4,4,3,1,1,
2,2,6,6,2,4,4,1,1,1,2,2,1],[1,7,4,2,4,2,7,1,2,1,2,2,4,4,4,8,4,1,1,1,1,2,1,1,2,
1,4,2,2,2,2,2,2,2,2,4,1,1,1,2,2,2,2,2,2,1],[1,1,7,7,2,2,2,2,7,7,1,21,1,1,1,2,
2,2,2,2,2,4,4,4,4,1,7,7,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
2,2,2,2,1],[1,7,2,2,7,1,1,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,2,2,1,1,2,1,6,
4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,3,4,2,8,2,1,1,2,1,4,2,2,2,2,2,4,4,8,4,4,4,1,2,
1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,4,2,2,1,1,6,1,2,4,4,4,1,1,1,2,2,2,2,1,
1,1,1],[1,1,3,3,2,2,2,2,1,3,1,3,1,1,1,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,4,
4,4,4,1,1,1,2,2,1],[1,1,3,3,2,2,2,2,1,3,1,3,1,1,1,4,2,2,4,2,2,4,4,4,4,1,1,1,1,
2,1,1,1,2,4,4,4,4,1,1,1,2,2,1],[1,3,2,4,2,1,1,1,2,4,2,4,4,4,1,2,1,1,2,2,2,1,1,
1,1],[1,3,4,4,2,4,2,1,1,6,2,1,2,4,2,2,2,2,2,4,4,8,4,1,1,2,2,1,4,2,2,2,2,4,4,4,
1,2,1,1,2,1],[1,3,4,4,2,6,1,1,6,2,3,4,2,4,8,4,4,1,1,1,1,1,2,2,1,1,2,2,4,2,2,2,
2,2,4,2,1,1,1,2,2,2,2,2,2,1],[1,3,4,2,2,1,1,2,1,4,2,4,4,4,1,1,2,1,2,2,2,1,1,1,
1],[1,3,2,6,1,1,3,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,8,4,2,1,3,1,1,4,1,
2,2,1,2,2,3,2,4,2,2,2,2,2,6,2,1,1,1,1,2,2,2,2,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,1,1,8,8,2,2,1,1,3,3,4,1,2,8,2,2,3,6,1,4,2,2,2,12,2,2,2,2,1,1,3,3,
4,4,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,
4,2,6,4,1,1,1,1,2,2,2,3,1,2,2,1,2,2,6,2,2,2,2,4,2,4,1,1,1,1,2,2,1,2,1,1,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,2,2,8,1,1,1,3,4,2,3,2,1,2,2,1,2,2,6,2,2,
2,2,2,4,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,4,4,2,
1,1,1,2,1,1,2,2,1,2,2,3,2,4,2,2,2,4,2,2,6,2,1,1,1,1,2,2,2,1,1,2,1,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,4,4,1,1,1,1,2,2,1,2,4,2,1,3,2,2,2,2,2,2,2,2,
2,4,1,1,1,1,1,1,2,1,1,1,2,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,8,8,1,
1,3,3,4,2,1,2,8,1,3,2,6,2,2,2,2,2,2,12,2,4,1,1,3,3,4,4,1,1,2,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,2,2,2,2,1,3,1,3,1,1,1,4,
2,2,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,3,1,1,1,1,4,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,2,2,1,1,1,1,1,2,2,4,2,2,2,3,2,1,4,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1,2,1,1,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,2,4,2,1,1,6,
2,1,2,4,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,1,2,1,2,1,2,1,1,1,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,1,1],[1,1,7,7,1,1,1,1],[1,3,6,6,16,1,2,2,3,3,6,6,12,3,6,6,
4,8,8,1,1],[1,1,3,9,6,4,3,1,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,9,9,4,3,1,9,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,3,6,4,1,3,6,
3,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,6,6,4,1,3,6,3,3,3,12,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,6,4,3,3,4,3,6,6,6,4,4,4,1,3,3,6,6,1,
4,3,1,1,1,1],[1,1,6,6,6,4,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,1,
1,6,6,4,1,3,3,4,6,6,12,4,4,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,6,
3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,6,6,4,7,3,3,6,12,4,4,4,1,3,
3,6,6,1,4,3,1,1,1,1],[1,1,6,12,4,3,3,4,6,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,
1],[1,1,1,1,6,6,4,1,3,3,4,6,6,12,4,4,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,6,6,6,4,
3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,4,6,6,4,1,6,3,3,3,3,12,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,9,3,4,1,3,3,6,3,3,3,3,6,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,
1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,6,3,9,4,3,1,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,6,6,4,7,
3,3,6,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,7,7,4,7,7,21,4,4,4,1,7,7,1,4,1,1,
1,1,1],[1,1,9,9,4,3,1,9,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,3,
3,4,1,3,6,3,3,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,3,3,
9,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,3,3,3,9,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,1,1,4,1,3,3,4,4,4,1,3,3,4,1,1,1],[1,7,7,8,1,1],[1,1,
7,7,6,6,6,6,7,7,2,2,3,21,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,7,
7,2,2,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,1,1,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,1,1,1,3,3,3,3,1],[1,1,7,7,6,6,6,6,
7,7,3,21,3,3,3,4,4,6,6,6,6,6,6,12,12,12,12,12,12,1,7,7,1,1,2,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,1,1,2,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,3,3,3,3,3,3,6,6,1],[
1,1,3,3,6,6,10,10,1,3,2,2,3,3,3,5,5,4,6,2,6,6,10,2,6,6,6,6,6,10,12,12,12,12,4,
4,12,12,12,1,1,2,2,3,3,1,3,5,3,1,3,3,4,4,6,2,2,6,2,2,6,2,2,6,6,2,6,2,2,6,2,6,
6,2,2,6,4,4,12,12,12,12,4,4,12,12,4,4,4,4,4,4,1,1,1,1,3,1,3,1,1,1,1,2,6,2,2,2,
2,2,6,2,2,6,6,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,6,6,2,2,1,
3,3,3,3,1,1,4,6,6,2,6,6,2,4,4,12,4,4,4,4,1,1,3,1,1,3,2,1,1,1,1,1,2,4,4,2,2,2,
2,2,2,4,2,2,2,2,2,6,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,7,10,10,7,2,2,5,5,4,4,6,10,6,4,20,4,1,1,1,2,5,3,5,3,2,2,6,6,10,6,10,4,
4,4,4,1,3,1,5,3,3,1,2,6,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,10,4,6,1,2,2,5,6,3,2,4,
6,2,8,6,4,12,4,4,8,1,1,2,3,1,1,2,3,1,2,2,2,8,6,4,2,2,6,2,2,6,2,2,4,4,4,4,1,1,
1,3,3,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,10,10,6,6,1,3,2,2,5,3,
5,3,3,4,6,2,6,10,6,2,6,6,10,6,6,6,12,4,12,12,12,12,4,12,12,1,1,2,2,3,3,3,5,3,
1,3,3,1,4,4,2,6,2,6,2,2,6,2,6,6,2,6,2,6,2,6,6,2,2,2,6,2,4,4,4,4,4,4,12,12,12,
12,4,12,4,12,4,4,1,1,1,1,1,3,3,1,1,1,1,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,6,6,2,4,
4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,4,6,8,2,1,3,6,2,1,4,4,6,2,4,2,2,2,4,4,8,
4,4,4,8,4,1,1,2,1,2,1,2,1,2,1,1,6,4,2,2,4,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,1,1,
1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,6,10,1,2,2,3,6,2,
5,4,6,2,8,6,8,12,4,4,4,1,1,1,3,1,2,2,1,3,2,6,8,2,2,2,6,2,2,2,6,4,2,2,4,4,4,4,
1,1,3,3,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,7,4,6,4,6,7,3,2,3,2,4,4,
6,2,4,2,2,2,4,12,8,4,4,4,1,1,1,2,3,3,3,3,2,2,2,4,2,6,6,2,6,4,2,4,4,4,4,4,4,3,
3,1,2,1,3,1,1,2,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,7,7,2,2,2,2,7,7,1,21,1,1,1,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,1,7,7,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,8,2,4,
6,1,1,6,4,3,2,4,6,2,4,2,2,2,4,4,8,4,4,8,4,4,1,1,1,1,1,2,2,2,2,1,1,2,2,4,2,2,4,
2,2,2,2,2,2,4,2,6,4,4,4,4,4,4,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,7,8,2,8,2,7,1,4,1,4,2,2,8,2,2,2,4,4,4,4,16,4,4,4,1,1,1,1,4,1,1,4,1,
2,8,2,2,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,1,1,1,1,1,4,1,1,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,7,4,6,4,6,7,2,2,3,2,3,2,6,6,4,6,12,4,8,4,4,4,1,1,3,3,2,1,1,
2,1,2,4,2,2,6,2,6,2,2,6,2,6,4,2,4,4,4,4,1,1,3,1,2,1,3,1,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,3,3,2,2,6,6,1,3,1,3,1,3,3,4,6,2,6,6,2,6,4,4,4,4,4,12,4,1,1,
1,1,1,1,2,3,1,1,1,2,3,4,4,2,2,2,2,2,4,2,2,2,2,2,6,2,4,4,4,4,1,1,1,1,1,1,1,1,1,
2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,6,12,6,16,1,2,2,3,3,6,6,6,6,12,12,
12,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,7,6,6,16,7,3,3,4,4,
6,12,16,1,1,1,2,3,3,3,3,6,6,6,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,3,4,6,6,16,1,2,2,
3,6,3,6,6,6,12,16,1,3,3,6,6,6,6,4,8,8,1,3,3,4,1,1,1],[1,7,6,6,16,7,2,2,3,3,6,
6,6,12,16,1,3,3,6,6,6,6,4,8,8,1,3,3,4,1,1,1],[1,3,12,6,6,16,1,2,2,3,6,3,6,6,6,
12,12,12,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,3,3,6,6,6,6,
16,1,3,2,2,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,16,1,2,2,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,8,8,1,3,3,6,6,6,6,4,8,8,1,1,1],[1,3,
6,18,16,1,2,2,3,9,12,6,6,6,12,12,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,
3,1,1],[1,3,18,6,16,1,2,2,9,3,12,6,6,6,12,12,16,3,3,3,6,6,6,6,6,12,12,4,8,8,1,
3,3,6,6,4,8,3,1,1],[1,1,7,7,6,6,6,6,4,7,7,3,21,3,3,3,6,6,6,6,6,6,12,12,12,12,
4,4,4,4,4,4,4,1,7,7,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,4,4,4,4,4,
1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,1,1,12,12,6,6,4,
1,3,3,3,4,3,6,12,6,6,9,6,3,12,6,6,6,12,6,6,6,6,4,4,4,4,4,4,4,1,3,3,3,4,4,3,3,
3,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,
1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,1,1,6,6,12,12,4,1,3,3,3,4,6,3,6,12,3,9,
6,6,6,6,6,6,6,6,12,6,12,4,4,4,4,4,4,4,1,3,3,3,4,4,3,3,6,3,3,3,3,3,6,6,6,6,6,6,
6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,
1,1,1,1],[1,1,7,7,7,7,21,8,1,7,7,8,1,1,1],[1,1,7,7,10,10,10,10,7,7,2,2,5,21,5,
5,5,4,4,6,10,6,10,10,10,6,6,10,6,6,10,12,4,20,20,12,20,4,4,4,12,20,12,1,7,7,1,
1,2,2,2,3,5,5,3,5,5,5,3,5,3,5,3,5,3,4,4,4,4,2,6,2,10,10,6,6,10,10,6,2,6,10,6,
6,6,6,6,10,6,6,6,6,6,6,10,10,10,10,6,2,4,4,4,4,4,4,4,4,20,20,12,12,4,4,4,12,4,
12,4,4,4,4,4,4,4,4,1,1,1,1,2,3,1,3,5,3,5,3,5,5,1,5,3,3,3,3,3,1,1,3,5,3,3,3,6,
6,2,2,2,6,6,2,10,2,6,2,2,2,2,2,2,2,6,6,6,6,6,2,6,6,6,2,2,2,6,6,6,2,10,10,2,6,
10,2,6,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,3,1,3,1,1,3,1,1,1,1,1,3,1,1,1,3,5,1,1,
1,1,1,3,1,3,3,1,1,2,2,2,2,2,2,2,6,2,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,21,
28,7,7,21,28,8,21,7,7,8,7,7,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,28,7,
28,8,1,7,8,7,1,1],[1,1,7,7,6,6,6,6,16,7,7,2,2,3,21,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,16,16,16,1,7,7,2,2,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,8,8,16,1,1,3,3,3,3,3,3,3,3,3,6,6,6,6,
6,6,6,6,6,4,4,4,8,8,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,7,7,6,6,6,6,16,7,7,3,21,
3,3,3,4,4,6,6,6,6,6,6,12,12,12,12,12,12,16,16,16,1,7,7,1,1,2,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,4,4,16,1,1,1,2,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,
4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,7,12,6,12,6,16,7,3,6,3,6,4,4,6,6,
12,6,6,6,12,12,24,12,12,12,16,16,16,1,1,1,2,3,3,3,3,6,6,6,12,6,6,6,6,6,12,6,
12,12,12,12,12,12,4,4,4,16,3,3,3,6,3,3,3,3,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,
3,3,3,3,3,3,4,4,4,3,1,1],[1,7,18,18,16,7,6,6,9,9,4,4,18,18,18,12,36,12,16,16,
16,1,1,1,2,9,3,9,3,6,6,6,18,18,18,18,12,12,12,12,4,4,4,16,3,3,3,9,3,9,3,6,6,6,
6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,3,3,18,18,6,6,16,1,3,
2,2,9,3,9,3,3,12,6,6,6,18,6,6,6,6,18,6,6,6,12,12,12,12,36,12,12,12,12,16,16,
16,1,3,2,2,9,3,3,9,3,3,3,3,3,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,8,16,1,3,3,3,3,3,3,3,3,
3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,8,8,8,8,1,3,3,3,3,3,
3,6,6,6,6,1,4,8,3,1,1,1,1],[1,1,3,3,6,6,18,18,16,1,3,2,2,3,3,3,9,9,12,6,6,6,6,
18,6,6,6,6,6,6,18,12,12,12,12,12,12,36,12,12,16,16,16,1,3,2,2,3,3,3,3,9,3,3,3,
9,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,4,8,8,16,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,12,12,12,12,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,
1],[1,7,18,18,16,7,2,2,9,9,12,12,6,18,6,12,36,12,16,16,16,1,3,3,6,9,9,9,9,6,6,
18,6,18,6,18,12,12,12,12,4,8,8,16,1,9,3,9,9,3,3,6,18,6,6,6,4,4,4,8,8,3,1,3,3,
3,3,3,1,4,3,1,1,1,1],[1,3,4,18,12,6,16,1,2,2,9,6,3,6,12,6,6,12,6,12,12,12,12,
24,16,16,16,1,3,6,3,3,3,6,3,3,6,6,6,12,6,12,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,
16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,3,4,12,6,18,16,1,2,2,3,6,6,9,12,6,6,12,6,24,12,12,12,12,16,16,16,1,3,3,3,3,
6,6,3,3,6,6,12,6,6,6,6,6,6,6,6,12,6,6,12,12,12,12,4,8,8,16,1,3,3,3,3,6,3,3,6,
6,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,12,6,12,6,16,7,2,
2,3,6,3,6,6,6,12,6,12,12,24,12,12,12,16,16,16,1,3,3,3,6,3,3,6,3,6,12,6,6,6,6,
6,6,6,6,6,6,12,6,12,12,12,12,4,8,8,16,1,3,3,3,6,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,
8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,28,28,8,
7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,
21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,
1],[1,1,7,7,28,7,7,21,28,28,28,8,1,7,7,7,28,8,1,8,7,7,7,8,7,1,1,1,1],[1,1,7,7,
18,18,18,18,16,7,7,6,6,9,21,9,9,9,4,4,18,18,18,18,18,18,18,18,18,18,18,18,36,
12,36,36,12,36,12,12,12,12,36,36,16,16,16,16,16,16,16,1,7,7,1,1,6,2,6,3,9,9,3,
9,9,9,3,9,3,9,3,9,3,4,4,4,4,6,18,6,18,18,18,6,18,18,18,6,6,18,18,18,6,18,6,18,
6,6,18,6,18,18,18,18,18,18,18,6,12,12,12,12,12,12,12,12,36,36,36,36,12,12,12,
36,12,36,12,12,12,12,12,12,12,12,4,4,4,16,16,16,16,16,16,16,1,3,1,1,2,3,3,3,9,
9,9,3,9,9,3,9,3,9,3,9,3,3,3,3,9,3,3,3,6,18,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,18,18,6,6,6,18,18,6,6,18,18,6,6,18,6,6,6,12,12,12,12,12,12,12,12,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,16,1,3,3,3,3,3,3,3,3,3,3,3,9,3,3,
3,3,3,3,3,3,3,3,9,3,3,3,3,3,9,3,9,3,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,
1,7,7,18,18,18,18,16,7,7,2,2,9,21,9,9,9,12,12,6,18,6,18,18,18,6,6,18,6,6,18,
12,12,36,36,36,36,12,12,12,36,36,12,16,16,16,16,16,16,16,1,7,7,3,3,2,6,2,9,9,
9,9,9,9,9,9,9,9,9,9,9,9,12,12,12,12,6,6,6,18,18,6,18,18,18,6,6,18,18,6,6,18,6,
18,18,18,18,6,18,6,6,18,18,18,18,6,6,12,12,12,12,12,12,12,12,36,36,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,4,8,8,16,16,16,16,16,16,16,1,1,3,3,6,9,
3,9,9,3,9,9,9,9,3,9,9,3,9,3,9,3,3,9,9,9,9,9,18,6,6,6,6,18,18,6,18,6,18,6,6,6,
6,6,6,6,18,18,18,18,18,6,18,6,6,6,6,6,6,6,18,6,18,18,6,18,18,6,18,6,12,12,12,
12,12,12,12,12,4,4,4,4,4,4,4,8,8,8,8,8,8,16,3,1,1,1,3,3,3,9,3,9,3,3,3,3,3,3,3,
3,9,3,3,3,9,9,3,3,3,3,3,3,3,3,9,3,3,6,6,6,6,6,6,6,18,6,18,1,4,4,4,4,4,4,4,8,8,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,7,42,42,
112,7,14,14,21,21,28,28,42,42,42,84,84,84,112,112,112,64,1,7,7,14,21,21,21,21,
42,42,42,42,42,42,42,84,84,84,84,28,28,28,56,56,112,7,21,21,21,21,21,21,42,42,
42,42,42,64,28,28,28,28,28,28,28,28,28,56,56,56,7,7,21,21,21,21,21,7,28,28,28,
8,21,7,7,7,7,8,8,8,7,7,1],[1,1,7,7,42,42,42,42,112,7,7,14,14,21,21,21,21,21,
28,28,42,42,42,42,42,42,42,42,42,42,42,42,84,84,84,84,84,84,84,84,84,84,84,84,
112,112,112,112,112,112,112,64,1,7,7,7,7,14,14,14,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,28,28,28,28,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,84,84,84,84,84,84,84,84,84,84,84,84,
84,84,84,84,84,84,84,84,84,84,84,84,84,84,28,28,28,56,56,112,112,112,112,112,
112,112,64,1,7,7,7,14,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,84,84,84,84,84,
84,84,84,64,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,56,
56,56,56,56,56,56,112,7,7,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,64,
7,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,56,56,56,8,7,
7,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,7,7,7,7,7,7,28,28,28,8,21,8,8,8,
7,7,7,7,7,7,7,7,7,7,8,8,8,7,7,1,1]],
[1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,14,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,42,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,56,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,96,96,96,96,96,96,96,96,96,96,96,112,
128,168,168,168,192,192,192,192,192,192,192,192,192,192,336,336,336,384,384,
1344,2688],
[376,376,373,373,335,335,331,331,256,374,373,365,364,356,356,356,356,356,353,
354,335,330,331,335,331,330,331,335,335,331,335,331,259,293,259,259,293,259,
298,298,293,298,259,259,256,256,256,256,256,256,256,302,376,374,374,373,373,
364,361,365,356,356,356,356,356,356,356,356,356,356,356,356,356,356,354,353,
353,354,335,335,331,330,330,331,330,330,330,335,331,330,330,331,331,330,335,
330,330,330,330,331,330,335,335,330,330,330,330,331,335,293,298,298,293,293,
293,293,293,259,259,259,259,298,298,293,259,293,259,298,298,298,298,293,298,
293,298,353,354,352,325,326,256,256,256,256,256,256,256,302,376,374,373,373,
361,356,356,356,356,356,356,356,356,356,356,356,356,356,356,356,356,356,356,
356,356,356,356,356,330,335,331,335,335,330,330,335,330,335,330,335,335,331,
335,335,331,335,330,330,330,330,330,331,330,335,329,331,335,331,331,331,330,
331,330,330,331,330,330,331,330,331,293,293,298,298,298,293,293,298,302,353,
353,352,352,352,352,353,352,352,353,352,354,354,353,353,354,354,353,354,354,
354,326,326,326,325,325,325,327,256,373,374,374,374,356,356,356,356,356,356,
356,356,356,356,356,356,356,356,356,356,356,356,356,356,356,356,356,356,356,
356,356,356,356,356,356,335,335,331,331,335,331,331,330,335,330,302,374,353,
353,353,352,353,353,353,353,352,354,354,354,352,354,352,352,354,352,352,354,
354,325,326,327,372,374,373,356,356,356,356,356,356,356,356,356,356,356,356,
356,374,373,374,374,374,374,374,374,352,353,354,372,356,370,371,372,374,373,
373,373,374,374,374,374,374,374,370,371,372,373,374,376,376],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,9,9,9,1,9,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,3,3,1,3,3,3,1,1,3,1,1,1,3,1,1,3,1,3,1,3,1,1,3,3,3,1,1,1,1,8,8,6,6,6,6,
1,1,1,1,1,8,8,6,1,6,1,1,8,8,1,6,8,6,8,19,20,10,13,12,9,9,9,1,9,9,9,1,1,1,1,1,
3,3,3,3,3,3,3,3,3,3,3,1,3,1,3,3,3,3,3,1,1,3,1,3,3,1,8,6,6,3,3,6,3,6,3,6,6,8,3,
1,8,6,3,3,3,3,3,8,3,1,3,8,6,8,1,1,3,8,3,3,8,3,3,3,3,1,6,6,8,8,8,6,6,8,52,136,
19,138,138,10,138,136,10,138,136,10,137,20,19,136,20,137,19,20,137,137,12,140,
140,139,13,139,59,9,3,10,1,10,17,14,14,3,14,3,14,14,10,10,17,10,3,14,3,17,17,
17,3,3,10,14,17,10,3,3,17,10,3,14,17,14,6,17,17,14,8,8,3,6,3,52,150,136,136,
136,138,136,136,19,136,138,137,20,137,138,137,138,138,137,138,10,137,137,139,
140,59,53,10,3,17,14,63,63,14,63,63,63,10,63,63,63,17,303,257,150,150,303,150,
303,303,138,136,137,53,63,357,358,328,150,257,345,345,303,303,303,303,303,303,
357,358,328,345,303,375,375],
[( 3, 7)( 4,10)( 6,12)(11,20)(13,15)(14,23)(16,18)(22,24),( 1, 2)( 3, 8,12,11)
( 4, 6)( 5,17,16,19)( 7, 9,15,22)(10,13)(14,18,21,23)(20,24)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,
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1,4,2]]],[[[1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[3,2,2,-2,
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1,2,1,3,2]]],[[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]],[[1,1,2,1],[2,1,
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-1,2,-1,3,1,4,2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]]],[[[2,1,1,
1],[2,-2,1,1,2,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[
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1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,4,1,2,1,4,-1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[
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1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-2,2,
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4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,3,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,
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2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[
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1],[2,1,1,1],[3,2,2,1,3,1,4,2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,
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1],[2,1,1,1],[3,2,2,1,3,1,4,2]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[
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1,1,1],[3,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,2,2,1]]],[[[2,-2],[3,1,2,1,1,1,
3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[2,1,1,1],[1,1,2,-1],[
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1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,
2]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,1,4,2]],[[2,1,1,1],[2,1,3,4,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-2]]],[[[1,1,2,1],[3,1,1,
1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1,2,1,1,1]]],[[[2,-2],[3,1,2,1,1,
1,3,1,1,1,2,1]],[[1,1,2,1],[3,1,2,1,3,3,2,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[2,1,1,1],[2,1,3,4,2,-1,1,1,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,
1,4,-1,5,1,4,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,
-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[2,1,1,1],[2,1,3,4,2,-1,1,1,2,1,1,
1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,
2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
4,2]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,
1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,1,1,1,4,1,2,1,3,2]]],[[[
1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,1,1,1,4,
1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,2,2,
1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-1,3,1,4,2]],[[2,1,1,1],[2,1,3,4,2,-1,1,1,2,1,1,1]]],[[[2,1,1,1],[3,1,
2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,1]],[[
1,1,2,1],[2,1,1,1],[4,2,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,
3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]]],[[[2,-2],[3,1,2,1,
1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[2,1,1,1],[1,
1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,
1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,-1,3,
-2,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,3,2,1,1,1]]],[[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2]]],[[[2,1,1,1,2,
-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,
2,1,3,2]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,
3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,
4,3,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2]],[[1,1,2,1],[2,1,1,1],[3,2],[
5,1,4,-1,5,1,4,1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,1,4,2]],[[2,1,1,1],[2,1,3,4,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,
-1,3,1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1,3,-3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,3,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,
-2,2,1,3,2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2,2,-1]]],[[[2,1,1,1,2,-1]],[[1,1,
2,1],[3,2,2,-2,1,1]],[[2,1,1,1],[2,1,3,4,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[3,1,
1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,1,5,
1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,
1,3,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]]],[[[2,1,1,1,2,-1]],[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]]],[[[1,
1,2,1],[3,1,2,1,3,3,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2]]],[[[1,1,2,1],[
3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-2]]],[[[1,1,2,1],[
2,1,1,1],[3,3,4,-2]],[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,-1]]],[[[2,1,1,
1],[2,-2,1,1,2,1],[3,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,
-2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,2,2,-2,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,
1,3,2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,-2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,
2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,2,2,-2,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,
2,2,1,1,1,2,1,4,-1,3,1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[3,1,
2,1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,4,2,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,
2,1],[2,1,1,1,3,-3,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,3,2,1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-2,1,1,2,-1,3,1]]],[[[2,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,
3,2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]]],[[[2,-1,1,1,2,-1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,3,-1,4,1]]],[[[1,1]],[[2,1,1,1,2,
-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-2,1,1,2,1,
3,-1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
2,2,1,1,1,2,1,3,2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,2,1,1,1,4,-1]]],[[[2,-1,1,1,2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-1,3,1,4,2]]],[[[2,1,1,1],[2,-2,1,1,2,1],[4,1,3,2,4,1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,2,2,1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,1,1,
1]],[[1,1,2,1],[2,1,3,4,2,1,1,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[2,1,1,1],[2,1,3,4,2,-1,1,1,2,1,
1,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,2,1,4,-1,3,1]]],[[[1,
1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,
2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]]],[[[1,1,2,1],[3,1,1,1,3,
-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,
1,1,1],[3,1,1,1,4,1,2,1,1,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,
3,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[3,
1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-2,2,-2,4,-1]]],[[[
2,1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,1,
1,4,1,2,1,1,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,1,3,2,2,-2]],[[1,1,2,1],[
2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,
-1]]],[[[2,1,1,1],[3,2,2,1,1,1,3,1,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,-2,3,1,2,1,3,2,4,-1]]],[[[2,1,1,1,2,-1,1,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,
-2,4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,2,1,3,2,4,-1]],[[2,1,
1,1],[1,1,2,-1],[4,1,1,1,2,1,3,-2,4,1,3,-2]]],[[[1,1,2,1],[2,1,3,3,2,1,1,1,2,
-1]],[[2,1,1,1],[1,1,2,-1,3,-2,1,1,2,1,3,-1]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[
1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,
1,2,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,
1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,
1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,
4,2,3,-1,4,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1,3,1]]],[[[1,
1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,3,
-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,
2,-2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,2,4,-2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,1,2,1,4,-1,3,
1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]]],[[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,
-1,3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,3,3,2,1,1,1]],[[1,1,2,1],[1,1,2,
-1,3,2,1,1,2,1,1,1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,
1,2,1,1,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,1],[2,
1,1,1],[2,-2,3,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,-1],[3,2,1,1,2,1]],[[2,1,1,1],[
3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,
1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[
1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,
1,2,1,1,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,2,2,-2,1,1]],[[2,1,1,1],[1,1,2,
-1,1,1,2,1,3,2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[2,-2],[3,1,1,1,2,-2,1,
1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,2,-1,3,1,4,2]],[[2,1,1,1],[2,1,3,4,2,-1,1,1,2,1,1,1]]],[[[1,1]],[[2,1,
1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,5,1,4,
1,5,1]],[[1,1,2,1],[2,1,1,1],[4,2,2,1,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1,
3,-2,2,-2,3,1]],[[2,1,1,1],[2,1,3,2,2,1,1,1,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,1,2,1,4,-1,3,-1,4,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,
1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,
-1,2,-2]]],[[[2,1,1,1,2,-1]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,
1,1,1],[3,1,4,-2,3,2]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[
2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-2]]],[[[1,1,2,1],[3,
1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2]]],[[[1,1,2,1],[3,1,2,
1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,3,3,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,
1,1,3,-3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,3,3,-2]]],[[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-2]],[[2,1,1,1],[2,1,3,4,2,
-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,1,
1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1]]],[[[2,1,1,
1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[
1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[2,1,1,1],[2,1,3,4,2,-1,1,
1,2,1,1,1]]],[[[1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,3,1,
2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,
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1,2,1],[2,1,3,1],[4,2,3,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[
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1,1,1,2,-1,4,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2]]],[[[2,-1,1,1,2,-1,
1,1,2,1]],[[1,1,2,1],[3,2,2,-2,1,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,
1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[
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2,1,3,1,1,1,2,1,1,1]]],[[[1,1,2,-1,1,1,2,1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,3,4,
2,1,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,2,2,-2,1,
1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,2,2,
1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,1,4,2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]]],[[[1,1,2,1],[
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1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2]]],[[[2,1,1,1,2,-1]],[[
1,1,2,1],[2,1,3,1],[4,1,1,1,2,-1,4,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,
2]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[2,1,1,1],[1,1,2,-2,3,-3,2,-1]],[[1,1,2,1],[
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2,1,1,1,2,-1,3,-1,2,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2]]],[[[2,1,1,1,2,
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1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,1,1,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,3,3,-2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]]],[[[2,
1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,
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1],[2,1,3,1],[4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2]]],[[[1,1,2,
1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,
1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,4,2,1,1,1]],[[1,1,2,1],[2,1,1,
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1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,2,2,-2,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,
1,3,2]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]]],[[[2,1,1,1,2,-1]],[[
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1,1,1,2,-1,4,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,2,-1,3,1]]],[[[1,1,
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2,1,1,1],[4,1,3,-2,4,2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,2]],[[1,1,2,1],[
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1,3,1],[4,1,3,2,4,1]],[[2,1,1,1],[1,1,2,-1,3,-2,1,1,2,1,3,-1]]],[[[1,1,2,1],[
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1,1,1],[2,1,3,2,4,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,
2]],[[1,1,2,1],[2,1,1,1],[2,1,4,3,3,-2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,3,1,4,
2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,
1,4,2,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,-2,
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1,1],[4,1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,
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1,3,-1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]],[[1,1,2,
1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,
1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,
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1],[4,1,3,-1,4,1,2,-2,3,1]]],[[[2,1,1,1],[1,1,2,1,3,2,2,-2]],[[1,1,2,1],[2,1,
1,1],[3,2,4,2,3,-1,4,1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[1,1,2,1],[1,1,2,
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1],[1,1,2,-2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-2,3,1]],[[1,1,2,1],[2,
1,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,3,4,2,1]],[[1,1,2,1],[2,1,3,1,2,1,
1,1,2,-2,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,
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1,1],[2,1,3,2,4,-2]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,
1,1],[2,-2,3,1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,-3,2,1,1,1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-2,3,2]]],[[[1,1,2,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,
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1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1]],[[1,1,2,-1],[3,1,1,1,2,
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1,3,1,2,1,1,1,4,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[2,1,1,
1],[3,2,4,2,3,-1,4,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,-2,
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4,2,3,-2]]],[[[1,1,2,1],[3,4,2,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,
-1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,3,2,2,1]]],[[[2,1,1,1,2,-1,1,
1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,
4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,-2,3,1]]],[[[2,1,1,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[2,-2,3,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1,2,-1,1,1]],[[1,1,
2,1],[3,2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[2,-2,3,1,4,2,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,3,
-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,3,3,-2]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[1,1,2,1],[2,-2,3,1,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,
-1,3,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,2,-2]]],[[[1,1,2,1],[1,1,3,-1,2,
1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-2,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,
1,2,1,3,2]],[[1,1,2,1],[2,1,3,3,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]]],[[[1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,-2],[3,1,1,1,2,-2,1,
1,3,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[
3,2,2,-2,1,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,2,1,1,1,4,-1]]],[[[2,1,1,1,2,
-1]],[[1,1,2,1],[3,2,2,-2,1,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[2,-2],[3,
1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,1,3,-2,2,-1]]],[[[2,
-2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,
2]]],[[[1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,3,-2]]],[[[2,1,1,1,2,-1,1,1]],[[
2,-2],[3,1,1,1,2,-2,1,1,3,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,2,2,-2,1,1]],[[
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LIBTOM( "23:11",
[[1],[1,2],[1,3],[1,2,3,4]],
0,[[1],[1,1],[1,1],[1,23,1,1]],
[1,11,23,253],
[4,2,4,4],
[1,1,1,3],
[( 2, 5,11, 3,12,22, 7, 6, 9,14,16)( 4,15,23,21, 8,24,13,17,18,20,10),
( 2, 4,16,17,22,10,15, 8,19, 3, 5)( 6,18,24, 9,21,20,12,23,13, 7,11)],
[[[[]]],[[[1,2,2,2,1,1]]],[[[1,1,2,-1]]],[[[1,1]],[[2,1]]]]);
AFLT( "M9:2","M11",[1,2,2,3,4,5,5,8,7,9,10,12,11,13,17,18,20,19,24,25,26,31,
32,33,35] );
AFLT( "M9:2","L3(4).2_3",[1,3,2,4,11,9,10,15,13,14,25,26,22,28,36,51,54,53,68,
70,69,82,83,84,90] );
AFLT( "M9:2","L3(4).2_2",[1,2,3,4,11,10,12,17,15,16,31,27,30,37,44,66,68,67,
94,95,96,118,117,116,132] );
AFLT( "M9:2","A6.2^2",[1,2,4,5,11,8,12,15,14,16,22,21,20,28,33,34,42,41,50,52,
51,57,56,58,60] );
AFLT( "M8:S3","M11",[1,2,2,3,4,5,9,7,8,10,11,12,17,18,22,27] );
AFLT( "4^2:D12.2","M12.2",[1,4,2,3,4,2,6,10,7,10,15,12,11,13,12,15,9,14,14,8,
12,16,23,19,24,26,27,32,28,34,29,31,26,33,32,36,39,39,40,36,30,34,33,42,39,33,
35,41,38,37,53,58,56,64,68,67,73,71,70,76,77,79,77,82,69,78,81,73,74,72,84,82,
71,75,80,83,79,69,106,107,101,112,119,120,118,121,123,125,122,126,122,130,125,
128,124,127,129,138,140,142,139,156,160,161,159,155,157,158,169,171,172,173,
184,191,188,189,199] );
AFLT( "S4xS3","M12.2",[1,4,2,3,2,3,6,5,6,8,7,16,8,16,9,12,9,13,18,23,19,21,
20,24,25,21,20,37,29,38,30,37,38,35,44,51,55,54,64,56,57,65,60,58,61,59,62,80,
89,88,86,98,104,109,105,116,110,112,113,114,99,103,132,134,144,147,166,164,
167,185] );
AFLT( "S4xS3","S7",[1,2,3,2,4,3,5,5,6,7,8,9,12,11,10,13,13,8,15,16,17,15,20,
19,19,20,22,24,26,29,25,27,28,30,31,36,35,37,44,38,42,41,43,39,45,46,45,49,52,
52,50,57,58,62,61,66,69,65,59,64,68,70,71,72,77,79,82,83,84,90] );
AFLT( "M8.S4","M12",[1,3,3,2,3,5,6,7,8,10,11,7,6,9,8,10,10,11,15,17,13,22,32,
21,23,25,26,30,24,27,31,29,28,26,32,33,19,20,31,27,33,29,44,41,48,53,52,49,51,
50,54,55,53,50,58,59,60,56,57,74,73,77,75,70,78,81,82,80,83,86,85,84,97,95,96,
106,115,127] );
AFLT( "4^2:D12","M12",[1,3,2,3,2,2,4,8,6,7,11,11,11,7,8,6,10,11,9,14,16,16,30,
32,25,22,26,21,24,25,30,23,33,28,27,29,24,26,29,31,28,29,19,31,28,31,20,43,46,
49,53,52,50,55,54,51,60,51,59,57,57,57,50,56,58,54,71,76,72,80,82,83,81,85,84,
86,93,94,106,114,117,116,126] );
AFLT( "4^2:D12","U3(3).2",[1,2,3,3,3,2,5,7,9,6,10,7,10,8,10,9,11,10,11,16,15,
13,18,24,21,19,23,20,22,25,18,24,26,31,30,22,29,31,29,25,31,29,28,21,23,25,27,
33,37,40,43,46,42,45,44,39,50,41,49,42,48,48,48,47,51,44,59,57,60,64,68,67,65,
69,66,70,74,77,81,85,86,87,93] );
AFLT( "A4xS3","M12",[1,3,2,2,4,5,4,9,11,9,18,14,16,13,23,36,41,42,45,46,47,65,
69,78,91,113] );
AFLT( "M9:S3","M12",[1,3,3,5,5,4,10,7,13,18,15,17,15,17,13,21,20,33,34,36,35,
48,48,56,63,61,64,65,62,64,75,79,89,90,88,96,100,98,99,109,107,110,118,124,
128,134] );
AFLT( "M9:S3","M12",[1,3,3,5,5,4,10,6,13,18,17,15,17,15,13,22,19,27,35,36,34,
48,48,59,64,62,63,65,61,63,77,79,90,89,87,95,100,99,98,111,108,112,118,125,
129,133] );
AFLT( "M9:S3","S9",[1,5,4,8,7,7,23,22,37,38,38,39,40,30,41,49,71,73,76,76,78,
119,118,151,174,156,165,174,164,173,244,248,293,292,281,345,349,353,352,386,
370,388,425,455,477,508] );
AFLT( "M9:S3","U3(5).S3",[1,3,2,4,6,5,10,8,16,21,18,20,23,22,17,25,31,27,35,
36,34,51,57,64,75,69,74,76,70,73,88,109,123,125,120,135,150,149,148,164,157,
161,178,192,196,212] );
AFLT( "M9:S3","L3(3)",[1,2,2,3,3,4,5,6,10,9,7,8,7,8,10,11,12,13,14,16,15,18,
18,20,23,21,24,25,22,24,26,28,32,31,29,34,35,36,37,42,38,40,44,45,47,49] );
AFLT( "M9:S3","L3(3)",[1,2,2,3,3,4,5,6,10,9,8,7,8,7,10,11,12,13,15,16,14,18,
18,20,24,22,23,25,21,23,26,28,31,32,30,34,35,37,36,43,39,41,44,46,48,50] );
AFLT( "2xS5","M12",[1,2,2,2,3,2,4,8,9,11,11,11,7,11,6,9,12,14,16,18,16,14,14,
16,30,31,24,23,29,25,28,37,38,39,43,47,46,46,42,47,46,47,57,66,67,68,71,76,72,
69,92,94,102,119,120,121,130] );
AFLT( "2xS5","L3(4).2^2",[1,5,3,2,4,5,6,7,17,13,16,16,15,11,12,17,18,22,24,23,
19,21,25,20,29,48,53,52,40,56,55,61,62,60,64,66,68,70,71,72,63,69,124,131,130,
132,139,136,137,141,189,196,198,238,240,239,262] );
AFLT( "2xS5","S7",[1,2,2,3,3,4,5,7,8,10,13,12,9,8,11,13,14,16,15,20,20,19,19,
17,26,29,28,25,24,27,30,34,33,32,36,42,43,45,38,46,46,45,49,54,53,55,62,68,57,
61,75,77,80,87,88,86,92] );
AFLT( "2xS5","L2(25).2_2",[1,2,4,2,4,3,5,6,8,8,11,10,9,7,12,11,14,18,20,20,17,
15,18,16,23,25,24,22,26,28,27,31,32,30,39,47,44,47,43,44,40,36,49,51,55,52,64,
65,57,61,71,73,80,89,87,86,96] );
AFLT( "2xS5","L2(25).2_2",[1,3,4,3,4,2,5,7,10,10,11,8,9,6,12,11,13,19,21,21,
16,15,19,17,22,28,24,23,26,25,27,34,33,29,38,45,46,45,37,46,40,41,49,53,50,54,
63,59,66,67,72,74,81,90,88,91,97] );
AFLT( "(2^2xA5):2","M12.2",[1,2,3,4,2,2,3,6,7,10,8,16,12,7,12,9,9,12,9,13,16,
13,15,8,17,19,18,23,20,24,19,23,26,27,37,35,30,34,29,30,35,30,39,36,37,38,38,
45,48,46,49,47,53,56,57,60,55,64,58,65,61,59,58,60,67,72,80,79,75,75,80,92,94,
90,96,93,95,91,106,107,101,113,114,105,104,110,112,116,127,137,135,136,139,
140,142,147,152,168,173,179,181,180,197,196,195,202] );
AFLT( "(2^2xA5):2","S4(5)",[1,3,2,3,2,3,3,5,6,8,7,11,6,9,9,8,9,7,6,9,10,8,11,
9,14,16,18,22,17,21,18,22,26,24,29,28,24,28,25,26,27,26,30,29,31,30,31,38,43,
33,41,35,47,50,53,54,49,45,52,58,55,51,54,52,62,65,67,67,64,65,66,75,85,77,80,
74,83,78,95,97,90,100,104,94,93,102,101,99,118,128,130,132,135,139,137,140,
155,175,179,197,195,199,223,221,222,246] );
AFLT( "M8.S4.2","M12.2",[1,4,4,2,3,4,5,10,11,14,15,12,8,15,11,13,12,14,7,10,9,
11,13,14,13,16,9,25,22,21,28,31,29,32,26,32,28,33,33,33,34,27,36,40,42,30,35,
39,41,30,38,33,40,39,37,41,41,52,51,62,66,63,70,76,68,73,71,77,67,74,71,69,74,
69,78,76,77,72,73,70,78,78,82,69,74,79,81,84,80,75,83,108,102,99,98,109,100,
115,111,118,119,126,122,123,125,121,125,126,128,120,129,130,129,129,124,127,
141,145,143,144,146,155,160,156,157,158,159,161,170,174,184,190,192,187,
200] );
AFLT( "3^(1+2)+:D8","M12.2",[1,4,4,3,5,6,5,14,11,13,18,21,22,22,25,22,25,24,
20,41,43,44,63,62,66,63,61,85,86,87,89,88,87,111,117,134,133,148,150,149,176,
177,175,194] );
AFLT( "3^(1+2)+:D8","L3(3).2",[1,2,2,3,4,5,4,6,7,10,12,11,13,13,14,13,14,15,
16,25,26,27,29,31,30,29,32,41,42,44,43,45,44,50,52,56,55,62,63,64,72,70,71,
75] );
AFLT( "2^3:L3(2)","M22",[1,2,2,2,3,6,4,7,4,6,5,6,8,7,6,7,9,8,11,12,12,13,14,
15,14,17,21,16,21,19,21,16,23,22,20,23,16,22,24,24,23,29,33,33,32,34,36,39,42,
44,47,44,49,49,44,48,51,43,49,57,63,63,58,60,59,61,59,61,60,67,64,62,69,70,75,
71,75,70,74,87,91,92,92,95,103,113,114,115,117,130,126,129,131,135,150] );
AFLT( "2^3:L3(2)","A8",[1,2,3,2,5,8,8,6,9,7,10,7,12,11,9,11,13,12,18,19,15,20,
21,23,22,25,27,28,26,29,27,24,30,31,32,33,28,30,34,35,31,43,44,42,44,39,47,49,
55,52,50,53,54,51,53,57,58,56,51,63,70,65,67,68,69,74,73,72,66,75,68,77,81,80,
83,85,84,82,86,91,97,98,96,99,104,112,111,108,109,121,122,119,124,126,135] );
AFLT( "2^3:L3(2)","A8",[1,2,3,2,5,7,7,6,9,8,10,8,12,11,9,11,13,12,18,19,15,20,
22,23,21,25,26,28,27,29,26,24,33,31,32,30,28,33,34,35,31,43,42,44,42,40,47,49,
55,53,50,52,51,54,52,57,58,56,54,63,70,65,67,72,73,66,69,68,74,75,72,78,81,82,
84,85,83,80,86,92,97,96,98,100,104,112,110,107,113,120,122,118,124,125,134] );
AFLT( "2^3:L3(2)x2","M22.2",[1,3,2,3,4,2,3,2,5,15,10,17,8,17,11,12,15,11,9,15,
8,6,12,14,11,13,15,12,14,11,10,10,14,7,14,8,16,14,6,13,18,11,11,14,21,22,24,
24,20,22,23,25,26,67,32,26,27,34,38,29,31,29,28,42,30,42,67,41,35,46,35,44,46,
32,32,36,36,67,43,37,46,58,53,67,61,54,55,37,42,54,49,30,35,64,28,66,63,49,40,
28,53,30,34,64,61,55,48,35,45,50,64,54,59,65,57,60,50,37,37,37,34,63,55,57,35,
56,37,48,58,61,49,65,53,52,55,73,74,74,77,76,83,85,81,79,84,84,83,87,91,89,90,
91,105,125,128,108,126,136,110,110,116,111,136,93,126,92,107,130,111,130,133,
95,97,114,97,116,120,93,110,112,127,142,145,109,121,139,146,135,131,130,138,
98,126,117,121,144,143,122,144,116,122,92,141,111,140,136,93,92,119,141,119,
118,141,147,120,141,146,97,123,124,119,120,118,124,123,121,167,170,181,176,
175,182,171,169,183,172,177,185,176,182,184,177,183,171,184,185,175,172,186,
178,173,179,187,174,190,189,197,215,196,206,235,233,216,202,208,198,237,207,
209,235,239,239,230,211,203,215,209,206,199,203,238,241,213,240,232,232,240,
213,199,241,238,210,204,213,209,212,232,203,244,231,200,275,277,287,290,290,
288,295,284,279,287,296,296,280,286,289,292,291,292,291,286,280,288,289,294,
293,300,303,320,311,320,342,313,315,321,318,317,314,344,319,319,317,344,364,
361,373,372,363,371,365,366,370,369,370,386,398,413,414,412,429,419,418,417,
430,431,428,425,424,427,443,442,444,452,458,475,483] );
AFLT( "23:11","M23",[1,23,50,156] );
AFLT( "23:11","L2(23)",[1,11,18,22] );
#############################################################################
#############################################################################
##
#E