File: tmjankmx.tom

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#############################################################################
##
#W  tmjankmx.tom         GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tmjankmx.tom,v 4.5 2001/07/05 07:01:20 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 Janko
##  groups.
##
#H  tomlib history
#H  --------------
#H  $Log: tmjankmx.tom,v $
#H  Revision 4.5  2001/07/05 07:01:20  gap
#H  first revision for tomlib
#H
#H
#H  tom history (GAP 4)
#H  -------------------
#H  (Rev. 4.5 of tomlib coincides with Rev. 4.4 of tom in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tom/tmjankmx.tom,v
#H  Working file: tmjankmx.tom
#H  head: 4.4
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H  	GAP4R2: 4.4.0.6
#H  	GAP4R2PRE2: 4.4.0.4
#H  	GAP4R2PRE1: 4.4.0.2
#H  	GAP4R1: 4.2.0.6
#H  	GAP4B5: 4.2.0.4
#H  	dec16-98b: 4.2
#H  	GAP4b4: 4.2
#H  	version-14-apr: 4.2
#H  	version-15-jun: 4.2
#H  keyword substitution: kv
#H  total revisions: 5;	selected revisions: 5
#H  description:
#H  ----------------------------
#H  revision 4.4
#H  date: 1999/10/26 07:24:53;  author: gap;  state: Exp;  lines: +9 -9
#H  renamed tables of marks: 2^(2+4):(3xS3).2  ->  2^(2+4):(S3xS3),
#H                           M10.2^2  ->  2xA6.2^2
#H  
#H      TB
#H  ----------------------------
#H  revision 4.3
#H  date: 1999/10/06 09:13:06;  author: gap;  state: Exp;  lines: +3 -3
#H  corrected name of J3M7 (was wrong due to an old ATLAS error)
#H  
#H      TB
#H  ----------------------------
#H  revision 4.2
#H  date: 1997/12/05 14:56:45;  author: gap;  state: Exp;  lines: +5 -5
#H  added new table of marks "3`D4(2)"
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/11/20 11:43:40;  author: gap;  state: Exp;  lines: +2 -2
#H  changed revision number to 4.1
#H  ----------------------------
#H  revision 1.1
#H  date: 1997/11/17 13:01:03;  author: gap;  state: Exp;
#H  added new table of marks library file
#H  ==========================================================================
#H
Revision.tmjankmx_tom :=
    "@(#)$Id: tmjankmx.tom,v 4.5 2001/07/05 07:01:20 gap Exp $";

SetActualLibFileName("tmjankmx");
LIBTOM( "2^3:7:3",
[[1],[1,2],[1,3],[1,2,4],[1,2,3,5],[1,6],[1,2,4,7],[1,2,3,4,8],[1,3,6,9],[1,2,
3,4,5,7,8,10],[1,2,4,6,7,11],[1,2,3,4,5,6,7,8,9,10,11,12]],
0,[[1],[1,1],[1,1],[1,3,1],[1,1,1,1],[1,1],[1,7,7,1],[1,3,4,1,1],[1,7,1,1],[1,
7,4,7,4,1,1,1],[1,7,7,8,1,1],[1,7,28,7,28,8,1,7,8,7,1,1]],
[1,2,3,4,6,7,8,12,21,24,56,168],
[12,10,5,10,5,9,12,10,9,10,12,12],
[1,1,1,1,1,1,1,4,6,4,7,11],
[(  1, 85,155,117,107, 66,166)(  2,111,120,216, 92, 91,201)(  3, 28,162,233,
 250, 65,103)(  4, 96,132,262,187,252, 40)(  5, 47,167, 57, 99,185, 54)
(  6,118,161,165,  9, 16, 36)(  7, 79,138,203,176, 46, 56)(  8, 50,102,110,
 184,263, 49)( 10, 34, 67,137,214, 75,124)( 11, 31,153,192,136,172,108)
( 12,226,164,213,228,169, 80)( 13, 51,114,106,139,113,144)( 14,177,210, 86,
 171,100,206)( 15,225, 52,205,264,200,158)( 17, 18, 60,104,148,266,134)
( 19, 45,196,119,101,116, 35)( 20, 42,173,143, 94,195,183)( 21, 78, 24, 88,
 194, 62,217)( 22,146,168,254,175,123,193)( 23,145,245, 38,232, 64,265)
( 25,204,191,126,142, 53,208)( 26,236,198,220,251, 70, 81)( 27,230,122, 87,
 215,243,135)( 29,125, 93, 97,219, 63, 90)( 30,112,246,186,152,231,151)
( 32, 71, 41,157,237,256, 44)( 33,244,229,249,149,189, 95)( 37,147,141, 73,
 242,253,128)( 39, 58,207, 83,235,160,239)( 43,140,261,227,170,133,130)
( 48,179,174,199,234, 76,211)( 55,154,197,222,258,115,129)( 59,121,163, 61,
 188,182, 74)( 68, 72,202,190,223, 89,109)( 69, 84,156,259, 77,224,105)
( 82,255,181,159,131,260,247)( 98,209,178,150,218,212,221)(127,180,238,240,
 257,241,248),(  1,126,140)(  2,120,148)(  3,179,209)(  4,129, 70)
(  5,109,246)(  6, 89, 65)(  7,201,134)(  8,207,131)(  9,165,211)( 10,149, 25)
( 11,136,104)( 12,208, 32)( 13,114,265)( 14, 67, 29)( 15,116, 97)( 16,150, 54)
( 17,153, 60)( 18, 79,138)( 19,215, 20)( 21, 35,213)( 22, 93,263)( 24,175,224)
( 26,164, 86)( 27,184, 44)( 28, 57,185)( 30,218, 76)( 33,183,157)( 34, 80,143)
( 36,167,186)( 37,202, 48)( 38, 64,106)( 39,105, 94)( 40,248,130)( 41, 63,240)
( 42,163, 96)( 43,228,158)( 45, 95, 50)( 46,176,172)( 47,253,234)( 49,220,166)
( 51,245,145)( 52,235,132)( 53,119,187)( 55,133,189)( 56,108,216)( 58,169,241)
( 59,226,110)( 61, 87,191)( 62, 83, 66)( 68,178, 72)( 69,222,101)( 71,262,194)
( 73,233,190)( 74,117,171)( 75,243,217)( 77,102,170)( 78, 81, 82)( 84,142,198)
( 85,200,237)( 88,227, 90)( 91,111,192)( 92,203,266)( 98,141, 99)(100,168,252)
(103,152,199)(107,154,124)(112,242,128)(113,232,144)(115,256,255)(118,231,223)
(121,259,205)(122,177,261)(123,247,204)(125,173,251)(127,146,135)(137,181,264)
(147,161,162)(151,250,221)(155,195,254)(156,180,214)(159,206,196)(160,229,210)
(182,219,197)(188,260,257)(193,249,225)(230,258,239)(236,244,238)],
[[[[]]],[[[1,2,2,1,1,-1,2,-1]]],[[[2,1]]],[[[1,1,2,1],[2,1,3,1,1,2,3,1]],[[1,
3,2,-1,1,1,2,1]]],[[[1,1,2,-1]]],[[[1,-1]]],[[[1,1,2,1,1,3,2,-1]],[[1,2,2,1,1,
-1,2,-1]],[[1,3,2,-1,1,1,2,1]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[2,1,1,-2]]],[[[2,
1,1,1,2,-1]],[[1,-1,2,1,1,1]]],[[[1,2,2,-1]],[[1,1,2,1,1,1]]],[[[2,1,1,-1,2,
-1]],[[1,1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "2xA5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,3,6],[1,2,3,4,7],[1,3,4,8],[1,9],[1,2,5,10],[
1,3,5,11],[1,4,5,12],[1,2,3,4,6,7,8,13],[1,4,9,14],[1,2,9,15],[1,3,9,16],[1,3,
5,6,17],[1,2,3,4,5,7,10,11,12,18],[1,2,3,4,7,9,14,15,16,19],[1,2,3,4,5,6,7,8,
10,13,17,20],[1,3,5,6,9,11,16,17,21],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1,1,1],[1,1,2,1],[1,1],[1,1,1,1],[
1,3,1,1],[1,3,1,1],[1,1,3,3,1,3,3,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,3,4,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,
15,10,5,6,10,6,5,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1]],
[1,2,2,2,3,4,4,4,5,6,6,6,8,10,10,10,12,12,20,24,60,120],
[22,22,13,13,18,20,13,13,19,18,18,18,20,19,19,19,20,18,19,20,22,22],
[1,1,1,1,1,1,1,1,1,1,5,5,1,9,1,9,6,5,9,6,21,21],
[( 1, 4)( 2, 5)( 3, 6)( 7, 9)( 8,10),( 1, 2,10, 7, 3)( 4, 5, 9, 6, 8)],
[[[[]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,3,2,1,1,
1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,1]]],[[[1,1,
2,-2,1,1,2,1]],[[2,1,1,1],[3,2,2,2]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,
1,3,3,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1]],[[2,1,1,1],[3,1,1,1,2,
1,3,-1,2,-1]]],[[[1,1,2,1,1,1]]],[[[2,1,1,1,2,2]]],[[[1,1,2,1],[3,1,2,1,3,
1]],[[1,1,2,1,1,1,2,-2]]],[[[1,1,2,1],[3,1,2,1,3,1]],[[1,1,2,-1,1,1,2,1,1,
1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,-2,1,1,2,1]],[[2,1,1,1],[3,2,2,2]]],[[[
1,1,2,1,1,1]],[[2,1,1,1,2,-1]]],[[[2,2],[3,1,2,1,1,1,3,-1]]],[[[1,1,2,1,1,
1]],[[1,1,2,1],[2,2,3,2]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,-1,1,1,2,-2]]],[[[2,
1,1,1,2,2]],[[1,1,2,1,1,1,2,-2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,2,3,2]]],[[[
2,-2,1,1]],[[2,1,1,1,2,1]]],[[[2,1]],[[1,1,2,-1,1,1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "19:6",
[[1],[1,2],[1,3],[1,2,3,4],[1,5],[1,2,5,6],[1,3,5,7],[1,2,3,4,5,6,7,8]],
0,[[1],[1,1],[1,1],[1,1,1,1],[1,1],[1,19,1,1],[1,19,1,1],[1,19,19,19,1,1,1,
1]],
[1,2,3,6,19,38,57,114],
[8,4,4,4,8,8,8,8],
[1,1,1,1,1,5,5,5],
[( 1, 2)( 3, 5)( 4, 7)( 6,10)( 8,12)( 9,13)(11,14)(16,18)(17,19),( 1, 6, 3)
( 2, 8, 4)( 5,12, 9)( 7,15,11)(10,17,14)(13,18,16)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,1,1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[2,1,
3,1],[2,1,1,1,3,-1,4,-2]]],[[[1,1,2,1],[2,-1,3,2,2,1,1,1]]],[[[1,1,2,1,1,1,2,
-1]]],[[[1,1]],[[2,-1,1,1,2,1]]],[[[2,-1]],[[1,1,2,1,1,1]]],[[[1,1]],[[2,
1]]]]);

LIBTOM( "11:10",
[[1],[1,2],[1,3],[1,2,3,4],[1,5],[1,2,5,6],[1,3,5,7],[1,2,3,4,5,6,7,8]],
0,[[1],[1,1],[1,1],[1,1,1,1],[1,1],[1,11,1,1],[1,11,1,1],[1,11,11,11,1,1,1,
1]],
[1,2,5,10,11,22,55,110],
[8,4,4,4,8,8,8,8],
[1,1,1,1,1,5,5,5],
[( 1, 4, 3, 6, 8)( 2, 5, 7, 9,10),( 1, 3)( 2,11)( 4, 5)( 6, 7)( 9,10)],
[[[[]]],[[[2,1]]],[[[1,2]]],[[[1,2,2,1]]],[[[1,1,2,1,1,-1,2,1]]],[[[1,1,2,1,1,
-1]],[[2,1]]],[[[2,1,1,1,2,1]],[[1,-1]]],[[[1,1]],[[2,1]]]]);




LIBTOM( "D6xD10",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,3,4,6],[1,7],[1,2,5,8],[1,3,5,9],[1,4,5,
10],[1,3,7,11],[1,4,7,12],[1,2,7,13],[1,2,3,4,5,6,8,9,10,14],[1,5,7,15],[1,2,
3,4,6,7,11,12,13,16],[1,3,5,7,9,11,15,17],[1,4,5,7,10,12,15,18],[1,2,5,7,8,13,
15,19],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]],
0,[[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],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,1],[1,1,5,5,5,1,
1,1,1,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,3,5,15,1,
15,1,1,5,5,1,3,3,5,1,3,1,1,1,1]],
[1,2,2,2,3,4,5,6,6,6,10,10,10,12,15,20,30,30,30,60],
[20,16,14,6,20,6,20,20,14,14,20,16,16,14,20,16,20,20,20,20],
[1,1,1,1,1,1,1,5,1,5,7,7,1,5,1,7,7,15,5,15],
[( 1, 2)( 3, 5)( 4, 6)( 7,10)( 8,11)( 9,13)(12,14),( 1,14,10, 9, 6, 3)
( 2, 7, 4)( 5,15,13,11,12, 8)],
[[[[]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,-1,3,1,2,1]]],[[[2,1,1,1],[3,1,2,1,
3,-1,1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1]]],[[[2,2]]],[[[1,1,2,
-3,1,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1]]],[[[1,1,2,1,1,1,2,1]]],[[[2,2]],[[1,
1,2,1],[2,1,3,1,1,1,2,-1,3,1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,1,
1,2,-1]]],[[[2,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1]]],[[[2,-3]],[[1,1,2,1,1,1,2,
1]]],[[[2,1,1,1,2,-1]],[[2,2,1,1]]],[[[2,-3,1,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,
1,3,-2,2,-1,1,1,2,-1]]],[[[2,1,1,1,2,-1,1,1]]],[[[1,1,2,1]],[[2,1,1,1,2,
-1]]],[[[2,1]],[[1,1,2,1,1,1]]],[[[1,1]],[[2,2]],[[2,1,1,1,2,1]]],[[[1,1,2,
1]],[[1,1,2,-1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "7:6",
[[1],[1,2],[1,3],[1,2,3,4],[1,5],[1,2,5,6],[1,3,5,7],[1,2,3,4,5,6,7,8]],
0,[[1],[1,1],[1,1],[1,1,1,1],[1,1],[1,7,1,1],[1,7,1,1],[1,7,7,7,1,1,1,1]],
[1,2,3,6,7,14,21,42],
[8,4,4,4,8,8,8,8],
[1,1,1,1,1,5,5,5],
[(1,2)(3,4)(6,7),(1,5,3)(4,7,6)],
[[[[]]],[[[2,1,1,1,2,-1]]],[[[1,1,2,1,1,1]]],[[[1,1,2,1,1,1]],[[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]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "3.PGL2(9)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,2,3,8],[1,9],[1,3,4,10],[1,2,
4,11],[1,2,5,12],[1,2,6,7,13],[1,2,7,14],[1,2,3,7,8,15],[1,4,5,16],[1,2,9,
17],[1,3,9,18],[1,3,9,19],[1,2,4,6,11,20],[1,2,5,6,21],[1,2,4,7,11,22],[1,2,5,
6,23],[1,2,3,4,8,10,11,24],[1,4,9,25],[1,2,3,6,7,8,13,14,15,26],[1,2,4,5,11,
12,16,27],[1,2,3,8,9,17,18,19,28],[1,2,5,6,7,12,13,21,29],[1,2,4,6,7,11,13,20,
22,30],[1,2,4,7,11,14,22,31],[1,2,3,4,7,8,10,11,15,22,24,32],[1,4,5,16,33],[1,
3,4,9,10,18,25,34],[1,3,4,9,10,19,25,35],[1,2,4,9,11,17,25,36],[1,2,4,5,6,11,
16,20,21,23,37],[1,2,3,4,6,7,8,10,11,13,14,15,20,22,24,26,30,31,32,38],[1,2,4,
5,11,12,16,27,33,39],[1,2,5,6,9,12,17,23,40],[1,2,3,4,8,9,10,11,17,18,19,24,
25,28,34,35,36,41],[1,2,4,5,6,7,11,12,13,16,20,21,22,23,27,29,30,37,42],[1,2,
4,5,7,11,12,16,22,27,33,39,43],[1,2,4,5,6,9,11,12,16,17,20,21,23,25,27,36,37,
40,44],[1,2,4,5,7,11,12,14,16,22,27,31,33,39,43,45],[1,2,4,5,6,7,9,11,12,13,
16,17,20,21,22,23,25,27,29,30,33,36,37,39,40,42,43,44,46],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,2,1],[1,1],[1,3,1,1],[1,1,
1,1],[1,3,1,1],[1,5,2,1,1],[1,1,1,1],[1,1,4,1,2,1],[1,1,3,1],[1,5,1,1],[1,5,1,
1],[1,1,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,6,1,3,2,
1,1],[1,1,1,1],[1,5,4,2,1,2,1,1,1,1],[1,3,1,3,3,1,1,1],[1,5,6,5,1,1,1,1,1],[1,
9,4,4,3,4,3,1,1],[1,5,1,2,1,5,1,2,1,1],[1,1,1,1,1,3,1,1],[1,1,12,1,1,6,4,1,3,
1,2,1],[1,1,12,4,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,5,1,1,5,1,1,1],[1,
3,1,12,1,3,4,1,1,2,1],[1,5,12,1,2,1,6,4,5,1,3,3,2,1,2,3,1,1,1,1],[1,9,1,12,9,
12,4,12,1,1],[1,15,10,5,6,10,6,5,1],[1,5,18,1,15,1,6,5,1,3,3,5,1,3,1,1,1,1],[
1,9,1,12,4,3,9,4,3,4,4,1,3,2,4,1,3,1,1],[1,9,1,12,9,9,12,4,9,12,1,1,1],[1,15,
1,30,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,9,1,12,9,9,12,27,4,9,12,9,1,1,1,
1],[1,45,1,120,30,45,36,45,120,45,40,36,30,30,45,60,36,120,30,45,10,36,30,10,
12,30,10,12,1],[1,45,108,1,120,30,45,270,36,36,45,120,45,135,135,40,36,108,
108,30,30,45,60,90,36,135,120,108,30,45,45,45,10,36,36,36,30,45,10,12,36,30,
10,12,10,1,1]],
[1,2,2,3,3,4,4,4,5,6,6,6,8,8,8,9,10,10,10,12,12,12,12,12,15,16,18,20,24,24,24,
24,27,30,30,30,36,48,54,60,60,72,108,180,216,1080,2160],
[47,38,28,47,27,42,38,15,41,41,38,27,38,26,26,39,41,28,28,42,42,38,37,32,41,
26,27,28,42,38,38,38,45,41,41,41,42,38,45,44,41,42,45,44,45,47,47],
[1,1,1,1,1,1,1,1,1,4,1,5,2,1,2,1,9,9,1,1,6,1,6,4,1,7,5,9,21,2,4,11,4,25,4,9,6,
22,33,40,25,21,33,40,33,46,46],
[( 1, 5)( 2, 6)( 3, 7)( 4, 8)( 9,16)(10,17)(11,18)(12,19)(13,24)(14,22)(15,25)
(20,29)(21,30)(23,26)(27,32)(28,33)(31,34)(35,36),( 1,20, 9)( 2,21,10)
( 3,22,11)( 4,23,12)( 5,26,13)( 6,27,14)( 8,28,15)(16,18,19)(24,25,31)
(29,34,30)(32,33,35)],
[[[[]]],[[[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],[3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,4,2,3,-1,5,
-1,2,1,6,1,5,1,3,2,4,1]]],[[[1,1,2,1],[2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,1,1,1,4,1,5,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,2,4,1,5,-1,2,-1,5,1,4,-1,3,1,4,-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],[3,1,1,1,2,1,1,1,3,-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],[2,1,1,1],[3,2,4,2,2,1,4,-1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,-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],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,2,2,1,4,-1,3,1,
5,1]]],[[[1,1,2,1],[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],[2,1,1,1],[3,1,4,-2,3,2,4,-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]]],[[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1,1,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,1,1,4,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[3,2],[5,1,6,1,4,-2,6,-1,5,-1,2,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,
1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,2,1,4,-1,3,1]]],[[[2,1,1,1],[2,-1,3,
-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,3,-1,4,1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,3,1,1,1,4,1,5,-1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,3,2,4,2,2,1,4,-1,3,1,5,1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,
3,1,1,2,-1]]],[[[1,1,2,1],[2,-1,3,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,2,1,3,1,4,-1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,2,3,-2,2,-1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,1,4,
-1,1,1,2,-1]]],[[[2,1,1,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
2,2,1,4,-1,3,1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,
1,3,-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],[
2,1,1,1],[3,2],[5,1,4,-1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,
1,4,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-2,2,-1]]],[[[1,1,
2,1],[3,2],[4,1,1,1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,
-1,3,1,1,1,4,1]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,2,1,1]]],[[[
2,1,1,1],[1,1,2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,2,1,
1,4,1]]],[[[2,1,1,1],[2,-1,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,2,3,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-1],[3,1,1,1,3,-1,4,-2]],[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,4,2,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,3,-1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-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,-1,3,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,-1,1,
1,2,1,1,1]],[[2,1,1,1],[2,1,3,2,2,1,1,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[1,1,
2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,2,1,3,2,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,1,2,1,4,-1,3,2,1,1,4,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,-1,3,
-2]],[[2,1,1,1],[2,1,3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[2,-1,3,-1,
1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,1,1,3,-1,4,-2]],[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,4,2,3,-2,2,-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,-1,3,-2]],[[1,1,
2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-2]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[2,1,1,1],[1,
1,2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,-1,1,1]],[[2,-1,1,1,2,-1,1,1,2,-1]]],[[[2,
-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,1,1,1,3,1,2,1,3,1]]],[[[2,1]],[[1,1,2,1,1,
1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "2^(1+4)-:A5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,3,6],[1,2,7],[1,4,8],[1,3,4,9],[1,3,10],[1,
3,4,11],[1,2,4,12],[1,4,13],[1,14],[1,2,5,15],[1,4,5,16],[1,3,5,17],[1,2,7,
18],[1,2,3,6,7,19],[1,2,3,6,7,20],[1,2,3,6,10,21],[1,2,3,4,6,9,11,12,22],[1,3,
4,8,9,13,23],[1,3,4,8,11,13,24],[1,3,10,25],[1,2,4,8,12,13,26],[1,2,4,7,12,
27],[1,2,7,28],[1,3,4,9,10,11,29],[1,2,14,30],[1,4,14,31],[1,4,14,32],[1,2,5,
7,15,33],[1,4,5,8,34],[1,2,4,5,12,15,16,35],[1,2,3,5,6,15,17,36],[1,2,3,6,7,
18,20,37],[1,2,3,6,10,21,25,38],[1,2,3,4,6,8,9,11,12,13,22,23,24,26,39],[1,2,
3,6,7,18,19,20,40],[1,2,3,6,7,10,20,21,41],[1,2,3,4,6,7,9,11,12,20,22,27,42],[
1,2,3,4,6,7,9,10,11,12,20,21,22,43],[1,2,3,4,6,9,10,11,12,21,22,29,44],[1,2,3,
4,6,9,10,11,12,21,22,45],[1,2,3,4,6,7,9,10,11,12,20,21,22,46],[1,2,3,6,7,20,
28,47],[1,2,3,4,6,7,12,19,27,28,48],[1,2,4,7,12,18,27,28,49],[1,2,4,12,14,30,
31,32,50],[1,2,5,7,15,18,51],[1,3,5,10,17,25,52],[1,2,3,5,6,7,15,17,19,33,36,
53],[1,2,5,7,15,28,33,54],[1,3,4,5,8,9,13,17,23,34,55],[1,2,4,5,7,12,15,16,27,
33,35,56],[1,2,4,5,8,12,13,15,26,34,57],[1,3,4,5,8,11,13,17,24,34,58],[1,2,3,
6,7,18,19,20,37,40,59],[1,2,3,6,7,18,20,28,37,47,60],[1,2,3,4,6,7,9,10,11,12,
18,20,21,22,27,37,41,42,43,46,61],[1,2,3,6,7,10,18,19,20,21,28,40,41,47,62],[
1,2,3,4,6,7,9,10,11,12,20,21,22,25,29,38,41,43,44,45,46,63],[1,2,3,4,6,7,8,9,
10,11,12,13,20,21,22,23,24,26,27,29,39,42,43,44,45,46,64],[1,2,3,4,6,7,9,11,
12,18,19,20,22,27,28,40,42,47,48,49,65],[1,2,3,5,6,7,15,18,19,20,33,40,51,
66],[1,2,4,5,7,12,15,16,18,27,28,35,49,51,67],[1,2,3,5,6,7,15,17,18,20,36,37,
51,68],[1,2,3,4,5,6,7,12,15,16,17,19,27,28,33,35,36,48,53,54,56,69],[1,2,3,5,
6,10,15,17,21,25,36,38,52,70],[1,2,3,4,5,6,8,9,11,12,13,15,17,22,23,24,26,34,
36,39,55,57,58,71],[1,4,5,8,14,16,31,34,72],[1,2,3,4,6,7,8,9,10,11,12,13,18,
20,21,22,23,24,25,26,27,29,37,38,39,41,42,43,44,45,46,61,63,64,73],[1,2,3,4,6,
7,9,10,11,12,18,19,20,21,22,27,28,37,40,41,42,43,46,47,48,49,59,60,61,62,65,
74],[1,2,3,4,6,7,9,10,11,12,18,20,21,22,27,28,37,41,42,43,46,47,60,61,75],[1,
2,3,5,6,7,10,15,18,19,20,21,28,33,40,41,47,51,54,62,66,76],[1,2,3,4,5,6,7,9,
11,12,15,16,18,19,20,22,27,28,33,35,40,42,47,48,49,51,56,65,66,67,77],[1,2,3,
5,6,7,15,17,18,19,20,33,36,37,40,51,53,59,66,68,78],[1,2,4,5,8,12,13,14,15,16,
26,30,31,32,34,35,50,57,72,79],[1,2,3,4,6,7,8,9,10,11,12,13,18,19,20,21,22,23,
24,25,26,27,28,29,37,38,39,40,41,42,43,44,45,46,47,48,49,59,60,61,62,63,64,65,
73,74,75,80],[1,2,3,6,7,14,18,19,20,30,37,40,59,81],[1,2,3,4,5,6,7,8,9,10,11,
12,13,15,17,18,20,21,22,23,24,25,26,27,29,34,36,37,38,39,41,42,43,44,45,46,51,
52,55,57,58,61,63,64,68,70,71,73,82],[1,2,3,4,5,6,7,9,10,11,12,15,16,17,18,19,
20,21,22,27,28,33,35,36,37,40,41,42,43,46,47,48,49,51,53,54,56,59,60,61,62,65,
66,67,68,69,74,76,77,78,83],[1,2,3,4,6,7,9,10,11,12,14,18,19,20,21,22,27,28,
30,31,32,37,40,41,42,43,46,47,48,49,50,59,60,61,62,65,74,81,84],[1,2,3,4,5,6,
7,8,9,10,11,12,13,15,17,18,19,20,21,22,23,24,25,26,27,28,29,33,34,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,51,52,53,55,57,58,59,60,61,62,63,64,65,66,68,70,
71,73,74,75,78,80,82,85],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1,2,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,1],[1,
1,2,1],[1,1,2,1],[1,3,1],[1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,3,1],[1,1,4,
2,1,1],[1,1,2,1,2,1],[1,1,2,1,2,1],[1,1,2,4,1,2,2,2,1],[1,1,6,1,3,3,1],[1,1,6,
1,3,3,1],[1,1,3,1],[1,1,6,1,3,3,1],[1,1,4,1,2,1],[1,1,1,1],[1,1,4,1,1,1,1],[1,
1,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,2,
1,1,1,2,1],[1,1,2,1,6,4,3,1],[1,1,2,1,6,3,4,1],[1,1,2,12,1,4,6,6,6,12,3,4,4,4,
1],[1,1,6,3,4,1,3,3,1],[1,1,2,1,2,4,1,2,1],[1,1,2,8,1,2,4,4,4,1,2,4,1],[1,1,2,
4,1,2,2,2,2,2,1,1,1,1],[1,1,2,8,1,4,2,4,4,1,2,4,1],[1,1,2,4,1,2,4,2,2,2,1,1],[
1,1,2,4,1,2,2,2,2,2,1,1,1,1],[1,1,2,1,2,1,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,4,
3,2,1,1,1,1],[1,1,10,5,1,1,1,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,1,2,
1,1,4,1,1,2,1],[1,1,1,1,1,3,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,12,1,1,6,1,4,3,
1,2,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,10,5,10,10,10,15,
5,10,1],[1,1,2,1,6,4,3,4,1,2,1],[1,1,2,8,1,6,4,4,4,4,4,3,2,2,4,1,1,1,2,2,1],[
1,1,6,3,4,4,1,3,3,2,2,1,1,1,1],[1,1,2,8,1,2,4,8,4,4,1,4,2,4,4,1,1,1,1,2,1,1],[
1,1,2,16,1,2,4,8,4,8,8,12,1,2,4,4,4,4,4,8,1,1,1,2,1,1,1],[1,1,6,8,3,4,4,4,4,1,
3,3,2,4,2,1,1,1,2,2,1],[1,1,6,4,3,4,4,1,3,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,
4,3,1,1],[1,1,2,4,1,6,4,8,4,3,4,1,1,1],[1,1,4,12,1,2,1,6,1,4,4,1,3,3,1,2,2,3,
1,1,1,1],[1,1,2,4,1,6,4,8,3,4,4,1,1,1],[1,1,2,12,4,1,4,6,6,6,12,4,8,3,4,4,4,1,
4,1,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,1,2,24,1,6,8,12,12,12,12,24,4,3,6,6,8,
8,8,8,12,24,1,2,2,3,3,6,6,6,6,3,6,6,1],[1,1,10,8,5,10,4,4,4,4,10,10,15,2,2,4,
4,5,10,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,1,6,4,4,4,4,4,3,2,2,4,8,1,1,1,2,2,
4,2,1,1],[1,1,6,4,3,4,12,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,6,24,4,3,4,12,12,
12,4,16,1,3,3,6,12,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,10,4,5,10,4,16,10,10,15,
4,8,5,10,1,4,1,1,2,1],[1,1,30,10,5,15,15,6,10,20,5,6,6,6,5,10,6,5,1,1],[1,1,
10,24,5,10,8,12,12,12,12,24,10,10,15,6,6,8,8,8,8,12,12,24,5,2,2,10,3,3,6,6,6,
6,6,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,1,10,5,10,16,10,10,15,16,5,10,1,1],[1,1,2,
24,16,1,6,8,12,12,12,12,24,16,32,4,3,6,6,8,8,8,8,12,24,8,16,1,2,2,3,3,6,6,6,6,
4,8,8,8,8,3,6,6,4,8,8,1,1],[1,1,10,24,4,5,10,12,12,12,12,4,16,16,10,10,15,6,6,
12,12,4,8,8,5,10,3,3,6,6,6,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,1,10,
40,5,10,20,20,20,20,16,10,10,15,10,10,20,20,16,16,16,5,10,5,5,10,10,10,20,20,
16,1,5,5,10,10,5,1,1],[1,1,10,24,16,5,10,8,12,12,12,12,24,16,64,10,10,15,6,6,
8,8,8,8,12,12,24,16,8,32,5,2,2,10,3,3,6,6,6,6,6,12,12,4,8,16,8,8,8,1,3,3,6,6,
6,6,4,8,8,8,1,3,3,4,1,1,1],[1,1,10,120,40,5,10,40,60,60,60,60,120,96,40,160,
160,10,10,15,30,30,40,40,40,40,60,60,120,96,96,96,40,40,80,80,5,10,10,10,15,
15,30,30,30,30,30,60,60,96,10,40,40,40,40,40,40,40,1,15,15,30,30,30,30,10,20,
20,40,40,40,16,5,15,15,10,10,10,16,5,6,5,10,6,5,1]],
[1,2,2,2,3,4,4,4,4,4,4,4,4,5,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,10,10,10,12,12,12,
12,16,16,16,16,16,16,16,16,16,16,16,16,16,20,24,24,24,24,24,24,24,24,32,32,32,
32,32,32,32,48,48,48,48,48,48,60,64,64,64,96,96,96,120,128,160,192,192,320,
384,1920],
[86,86,82,39,69,85,83,71,64,63,64,64,39,50,69,35,36,83,83,80,73,73,71,71,70,
71,65,65,44,50,50,50,69,71,56,53,85,82,82,83,80,80,73,73,73,73,74,65,65,50,83,
70,69,69,71,69,71,71,86,80,80,74,73,73,74,83,77,78,69,70,71,79,85,80,80,83,83,
83,79,85,84,85,83,84,85,86],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,2,2,1,1,1,1,1,3,1,2,1,3,1,14,14,1,8,5,1,2,
3,1,2,1,2,3,3,2,3,2,7,7,14,18,25,2,5,8,15,8,8,2,6,6,7,6,6,7,18,51,18,33,25,8,
72,6,20,20,51,51,18,72,37,59,73,66,81,73,86],
[( 1, 6,24,18,12, 7)( 2,28,23,16,11, 5)( 3,15,22,14,17, 9)( 4,10)( 8,13)
(19,31,30,27,21,25)(20,26)(29,32),( 1,14)( 3, 4)( 5,15)( 6,10)( 7,16)( 8,17)
( 9,19)(11,20)(12,21)(18,25)(23,29)(24,27)(26,30)(28,31)],
[[[[]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,2]]],[[[2,1,1,-3,2,1]]],[[[1,1,2,
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1,3,1]]],[[[2,1,1,1,2,1]],[[2,1,1,1],[1,2,3,2]]],[[[1,-1,2,1,1,1]],[[1,1,2,
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1]]],[[[1,2],[1,1,2,1],[3,-1,4,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,3,1],[4,1,1,-2,
3,-1,4,-1]]],[[[1,2],[2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,2],[1,1,2,1],[3,-1,4,-1,
3,-1,4,-1]],[[1,1,2,1],[1,2,3,-1,2,1,3,1,1,-1,2,1]]],[[[1,-3]],[[1,1,2,1],[2,
1,3,1],[4,1,1,-2,3,-1,4,-1]]],[[[1,1,2,1,1,-1]],[[1,2],[2,1,1,1],[3,1,4,1,3,1,
4,1]],[[1,1,2,1],[1,2,3,-1,2,1,3,1,1,-1,2,1]]],[[[1,-1,2,1,1,1]],[[1,2],[3,1,
2,1,3,-1]],[[1,2],[2,1,1,-1,2,1,1,1,2,1,3,1,2,1,3,1]]],[[[1,-3]],[[1,1,2,1],[
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1,2,1],[3,1,1,2,3,-1]]],[[[1,1,2,1],[3,1,1,-2,3,-1]],[[1,1,2,1],[2,1,3,1,1,-2,
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1,-1,2,1,1,1]],[[2,1,1,1],[3,2,1,1,2,1]]],[[[1,2],[3,1,2,1,3,-1,2,1,3,-1]],[[
1,2],[1,1,2,1],[4,1,3,-1,4,-1,2,1,3,-1]]],[[[1,2],[3,-1,2,1,3,1]],[[2,1,1,1],[
1,2,3,2]]],[[[2,1,1,-1,2,1,1,1,2,1]],[[1,1,2,1],[3,1,1,2,3,-1]]],[[[1,1,2,1,1,
-1]],[[1,2],[3,-1,2,1,3,1]],[[1,2],[2,1,1,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,
2,3,-1,2,1,3,1,1,-1,2,1]]],[[[1,-3]],[[1,1,2,1,1,-3,2,1,1,-1]],[[1,1,2,1],[2,
1,1,1,3,-1,2,1,3,1,1,-2]]],[[[1,1,2,1,1,2]],[[1,1,2,1],[1,2,3,-1,2,1,3,1,1,-1,
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1]]],[[[1,-3]],[[1,1,2,1],[3,1,1,-2,3,-1]],[[2,1,1,1],[3,2,1,1,2,1]]],[[[1,
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1]]],[[[1,-3]],[[1,1,2,1,1,-1]],[[1,2],[2,1,1,1,2,1],[4,1,3,1,4,1,3,-1]]],[[[
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2,1,3,1]]],[[[1,1,2,1,1,1,2,1,1,-1]],[[2,1,1,1],[3,2,1,1,2,1]]],[[[2,1]],[[1,
-1,2,1,1,1]],[[1,-3]]],[[[1,-3]],[[1,1,2,1,1,-1]],[[2,1,1,-1,2,1]]],[[[1,
1]],[[2,1]]]]);


LIBTOM( "2^(2+4):(3xS3)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,4,9],[1,2,10],[1,2,3,11],[
1,2,12],[1,4,13],[1,2,4,14],[1,2,5,15],[1,3,7,16],[1,4,6,17],[1,3,5,18],[1,2,
4,8,14,19],[1,2,8,12,20],[1,2,12,21],[1,2,3,8,10,11,22],[1,2,3,11,12,23],[1,2,
10,12,24],[1,2,4,9,13,14,25],[1,2,3,10,11,12,26],[1,2,12,27],[1,2,4,12,14,
28],[1,5,6,7,29],[1,2,6,8,30],[1,4,5,9,31],[1,2,5,8,15,32],[1,2,7,8,33],[1,4,
7,9,34],[1,4,6,9,17,35],[1,4,6,9,36],[1,2,5,10,15,37],[1,2,3,5,11,15,18,38],[
1,4,7,13,39],[1,2,4,8,9,13,14,19,25,40],[1,2,8,12,20,21,41],[1,2,8,12,20,42],[
1,2,4,8,12,14,19,20,28,43],[1,2,3,10,11,12,21,23,26,44],[1,2,3,10,11,12,21,24,
26,45],[1,2,3,8,10,11,12,20,22,23,24,26,46],[1,2,4,8,12,14,19,20,47],[1,2,8,
12,20,27,48],[1,2,4,10,12,14,24,27,28,49],[1,2,3,4,11,12,14,23,27,28,50],[1,3,
5,6,7,16,18,29,51],[1,2,5,12,15,21,52],[1,2,3,7,8,10,11,16,22,33,53],[1,2,4,6,
8,14,17,19,30,54],[1,2,4,5,9,13,14,15,25,31,55],[1,2,3,5,8,10,11,15,18,22,32,
37,38,56],[1,2,3,8,10,11,12,20,21,22,23,24,26,41,44,45,46,57],[1,2,4,8,9,12,
13,14,19,20,25,28,40,43,47,58],[1,2,4,8,12,14,19,20,21,28,41,42,43,47,59],[1,
2,8,12,20,21,27,41,48,60],[1,2,3,4,8,10,11,12,14,19,20,22,23,24,26,27,28,43,
46,48,49,50,61],[1,2,3,8,10,11,12,20,22,23,24,26,27,42,46,48,62],[1,2,5,6,7,8,
15,29,30,32,33,63],[1,4,5,6,7,9,17,29,31,34,35,36,64],[1,2,4,6,8,9,13,14,19,
25,30,36,40,65],[1,2,4,7,8,9,13,14,19,25,33,34,39,40,66],[1,2,4,5,8,9,13,14,
15,19,25,31,32,40,55,67],[1,2,4,6,8,9,13,14,17,19,25,30,35,40,54,68],[1,2,5,8,
12,15,20,21,32,41,52,69],[1,2,3,5,10,11,12,15,18,21,24,26,38,45,52,70],[1,2,7,
8,12,20,33,42,71],[1,2,3,5,10,11,12,15,21,23,26,37,44,52,72],[1,2,4,8,9,12,13,
14,19,20,21,25,28,40,41,42,43,47,58,59,73],[1,2,3,4,8,10,11,12,14,19,20,21,22,
23,24,26,27,28,41,42,43,44,45,46,47,48,49,50,57,59,60,61,62,74],[1,2,4,8,12,
14,19,20,21,27,28,41,42,43,47,48,59,60,75],[1,2,3,5,6,7,8,10,11,15,16,18,22,
29,30,32,33,37,38,51,53,56,63,76],[1,2,4,6,8,9,12,13,14,17,19,20,25,28,30,36,
40,43,47,54,58,65,77],[1,2,3,5,8,10,11,12,15,18,20,21,22,23,24,26,32,37,38,41,
44,45,46,52,56,57,69,70,72,78],[1,2,3,7,8,10,11,12,16,20,22,23,24,26,27,33,42,
46,48,53,62,71,79],[1,2,3,4,8,9,10,11,12,13,14,19,20,21,22,23,24,25,26,27,28,
40,41,42,43,44,45,46,47,48,49,50,57,58,59,60,61,62,73,74,75,80],[1,2,4,5,6,7,
8,9,13,14,15,17,19,25,29,30,31,32,33,34,35,36,39,40,54,55,63,64,65,66,67,68,
81],[1,2,4,5,8,9,12,13,14,15,19,20,21,25,28,31,32,40,41,42,43,47,52,55,58,59,
67,69,73,82],[1,2,4,7,8,9,12,13,14,19,20,21,25,28,33,34,39,40,41,42,43,47,58,
59,66,71,73,83],[1,2,4,6,8,9,12,13,14,17,19,20,21,25,28,30,35,36,40,41,42,43,
47,54,58,59,65,68,73,77,84],[1,2,3,4,7,8,9,10,11,12,13,14,16,19,20,21,22,23,
24,25,26,27,28,33,34,39,40,41,42,43,44,45,46,47,48,49,50,53,57,58,59,60,61,62,
66,71,73,74,75,79,80,83,85],[1,2,3,4,5,8,9,10,11,12,13,14,15,18,19,20,21,22,
23,24,25,26,27,28,31,32,37,38,40,41,42,43,44,45,46,47,48,49,50,52,55,56,57,58,
59,60,61,62,67,69,70,72,73,74,75,78,80,82,86],[1,2,4,5,6,7,8,9,12,13,14,15,17,
19,20,21,25,28,29,30,31,32,33,34,35,36,39,40,41,42,43,47,52,54,55,58,59,63,64,
65,66,67,68,69,71,73,77,81,82,83,84,87],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,1],[1,1,2,1],[
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12,1,4,1,3,1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,3,4,1,6,12,3,4,4,1,1,
1],[1,1,2,4,3,1,3,4,8,1,3,3,4,1,1,1],[1,3,16,1,6,3,4,1,1],[1,1,6,4,1,3,3,4,1,
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5,4,8,4,1,1,1,4,4,1,2,1],[1,3,6,1,8,4,1,3,3,3,4,6,3,4,2,1,1,3,3,4,1,3,1,1],[1,
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4,4,6,6,12,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,3,12,16,1,6,6,6,16,3,6,3,3,6,6,4,1,
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6,18,6,12,12,1,6,9,3,6,6,1,3,3,1],[1,3,12,4,20,16,1,4,12,18,12,12,3,12,16,5,1,
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16,2,3,3,9,18,12,24,6,9,8,12,1,1],[1,3,24,64,1,8,18,24,36,6,9,12,24,36,16,32,
96,2,3,3,9,18,6,9,8,12,1,1],[1,3,24,16,1,8,18,24,36,48,6,9,12,24,36,4,16,16,2,
3,3,9,18,12,6,9,1,4,1,3,1],[1,3,24,24,64,1,8,12,12,18,24,36,64,6,9,12,12,18,
18,24,36,36,36,16,32,96,2,3,3,9,12,12,18,18,18,36,36,16,3,6,9,9,18,18,8,12,1,
9,9,12,3,1,1],[1,3,8,24,16,1,8,4,4,18,24,36,48,32,6,9,12,4,6,6,24,12,12,36,8,
16,16,16,2,3,3,9,4,4,6,18,6,12,12,12,24,16,1,6,9,3,6,6,8,12,4,4,1,3,3,4,1,1,
1],[1,3,24,16,32,64,1,8,18,24,36,48,96,6,9,12,24,36,64,8,8,16,16,32,32,32,96,
2,3,3,9,18,12,24,24,6,9,16,32,2,8,8,8,12,12,1,6,8,1,1,2,1],[1,3,24,24,16,32,
64,1,8,12,12,18,24,36,48,64,96,96,6,9,12,12,18,18,24,36,36,36,64,8,8,16,16,32,
32,32,48,48,96,2,3,3,9,12,12,18,18,18,36,36,64,12,16,24,24,48,3,6,9,9,18,18,
16,32,2,8,8,8,12,12,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1]],
[1,2,2,2,3,3,3,4,4,4,4,4,4,4,6,6,6,6,8,8,8,8,8,8,8,8,8,8,9,12,12,12,12,12,12,
12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,18,24,24,24,24,24,32,32,32,32,32,
32,36,36,48,48,48,48,48,48,48,48,64,64,64,72,96,96,96,128,144,192,192,192,384,
384,576,1152],
[88,86,70,68,76,64,51,88,81,78,78,74,66,58,56,51,35,38,84,80,78,78,74,74,67,
57,61,61,51,81,81,76,76,64,64,64,56,56,39,87,86,85,80,78,78,74,73,74,61,61,51,
78,76,68,67,56,86,84,80,80,74,74,76,64,87,81,81,81,78,78,79,78,88,80,80,76,84,
78,79,86,81,88,88,87,88,86,88,88],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,1,1,1,2,2,2,2,1,1,1,2,1,8,9,1,8,9,1,9,1,1,
13,1,2,1,2,2,2,2,2,2,12,12,7,21,33,8,9,2,2,8,8,8,12,12,8,9,40,40,9,8,21,21,42,
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[( 1,12,13, 8, 4, 2)( 3,15,11, 6)( 5, 7,23,21,17,22,18,16,19,14, 9,10),
( 1, 7, 3)( 2,10, 5)( 4,15, 9)( 6,17,12)( 8,16,11)(13,22,18)(14,23,20)
(19,24,21)],
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LIBTOM( "A4xA5",
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6,13,16,17,18,34],[1,2,4,6,12,17,18,35],[1,4,7,10,36],[1,4,7,11,37],[1,5,15,
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13,19,20,27,46],[1,3,5,15,19,24,38,47],[1,2,5,6,7,8,17,23,27,29,33,48],[1,3,5,
6,7,9,19,23,28,30,31,32,49],[1,2,3,4,8,12,13,15,20,24,25,26,41,42,43,50],[1,2,
3,4,7,8,9,10,11,12,13,14,20,21,22,32,33,37,39,51],[1,2,3,4,7,8,9,10,11,12,13,
14,20,21,22,31,33,36,39,52],[1,2,3,4,6,8,9,10,11,12,13,14,17,20,21,22,28,29,
39,45,53],[1,2,3,4,5,8,9,10,11,12,13,14,19,20,21,22,27,30,39,46,54],[1,3,6,9,
15,16,24,28,55],[1,2,5,8,15,25,27,38,41,56],[1,2,3,4,5,6,7,8,12,13,16,17,18,
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46,47,50,56,59],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,19,20,21,22,23,27,28,29,
30,31,32,33,36,37,39,45,46,48,49,51,52,53,54,60],[1,3,5,6,7,9,15,16,19,23,24,
28,30,31,32,38,40,47,49,55,61],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,18,20,
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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,
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1],[1,3,4,1,1],[1,1,1,1],[1,3,3,9,1,1,3,3,9,9,9,3,3,9,1],[1,3,1,1,2,1,3,1,1],[
1,3,1,1,3,1],[1,1,10,5,1,1,2,1],[1,1,5,5,5,1,1,1,1,1],[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],[1,3,1,3,4,1,3,3,4,1,1,1],[1,5,1,1,5,1,1,
1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,1,1,1],[1,3,5,15,1,15,15,1,
5,1,3,3,1,3,3,1],[1,3,3,9,16,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,3,3,9,16,1,1,
3,3,9,9,9,3,3,9,4,4,12,1,1],[1,3,3,9,4,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,3,
3,9,4,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,
4,1,1],[1,3,3,9,4,1,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,15,15,10,5,
15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,3,5,15,4,1,15,15,1,20,5,1,3,3,1,4,1,
3,3,5,4,1,1,1],[1,3,3,9,4,4,32,1,1,3,3,9,9,9,12,12,3,3,9,16,1,1,4,4,4,4,8,12,
12,1,3,3,4,4,1,1,1,1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,5,5,6,10,6,5,1,1],[1,
3,15,45,10,1,5,15,15,45,45,45,6,10,30,30,15,15,45,6,18,18,5,10,30,30,5,6,18,
18,10,15,6,5,1,3,1],[1,3,15,45,4,10,80,1,5,15,15,45,45,45,6,10,30,30,60,15,15,
45,40,6,18,18,1,5,10,20,20,20,20,30,30,60,60,24,5,40,6,18,18,10,15,15,24,10,
20,6,5,5,5,5,1,6,10,3,6,5,4,1,1]],
[1,2,2,2,3,3,3,4,4,4,4,4,4,4,5,6,6,6,6,8,8,8,9,10,10,10,12,12,12,12,12,12,12,
12,12,12,12,15,16,18,20,20,20,24,24,24,30,36,36,40,48,48,48,48,60,60,72,120,
120,144,180,240,720],
[63,62,54,39,61,57,23,63,60,52,51,39,39,39,59,57,44,44,30,54,53,39,40,59,50,
50,63,60,57,49,49,49,48,44,44,36,37,47,60,40,59,50,50,57,53,54,47,57,49,59,60,
60,60,60,63,59,57,62,59,60,61,63,63],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,6,1,1,1,1,1,15,1,15,8,9,1,1,9,9,8,6,6,10,
11,1,1,6,1,15,15,6,9,8,15,8,9,15,39,39,9,8,55,8,29,55,41,39,55,55,62],
[( 1,10, 4)( 2,11, 5)( 3,12, 6)( 7,14, 9)(13,19,18)(15,16,20),( 1, 7)( 2, 8)
( 3, 9)( 4,13)( 5, 6)(10,15)(11,16)(12,17)(14,19)(18,20)],
[[[[]]],[[[1,-1],[1,1,2,1],[2,1,1,1,4,-1,2,1,3,-1,4,-1],[2,1,1,-1,5,2,2,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,1,-1],[1,-1,3,-1,2,1],[5,1,4,1,6,-1,4,1,6,-1,
3,-1,5,1]]],[[[2,1,1,1],[2,1,3,-1,1,-1,3,1,2,1,1,1,2,1]]],[[[2,1,1,-1,2,1,1,
-1],[3,2,2,1,1,-1]]],[[[1,1,2,1],[3,2,1,1,3,-2,2,1,1,-1,2,1]]],[[[1,1,2,1],[2,
1,1,1,2,1,3,2,1,1,2,1]]],[[[1,-1],[1,1,2,1],[2,1,1,1,4,-1,2,1,3,-1,4,-1],[2,1,
1,-1,5,2,2,1,3,-1]],[[1,-1],[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1],[6,1,5,-1,1,
1,2,1,3,1,2,1,6,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,1,-1],[1,-1,3,-1,2,1],[5,
1,4,1,6,-1,4,1,6,-1,3,-1,5,1]],[[1,-1],[1,1,2,1],[2,1,1,1],[2,1,1,-1],[6,1,2,
1,5,-1,3,1,4,-1,6,1,5,1,2,1,4,1,3,-1,4,-1]]],[[[1,-1,2,1,1,1]],[[2,1,1,1,2,
1],[3,1,1,-1,3,1,1,-1,2,1]]],[[[2,1,1,-1,2,1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[4,1,5,1,1,1,3,-1,5,-1,4,-1]]],[[[2,1,1,1],[2,1,3,-1,1,-1,3,1,2,1,1,
1,2,1]],[[1,-1],[1,1,2,1],[4,2,3,-1,2,1,1,-1,2,1,3,1,4,-1]]],[[[2,1,1,1],[2,1,
3,-1,1,-1,3,1,2,1,1,1,2,1]],[[1,-1],[1,1,2,1],[2,1,1,1,4,-1,2,1,3,-1,4,-1],[2,
1,1,-1,5,2,2,1,3,-1]]],[[[1,1,2,1,1,-1,2,1,1,1,2,1,1,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,1],[4,1,5,1,1,1,3,-1,5,-1,4,-1]]],[[[1,-1,2,1,1,-1,2,1,1,-1,2,
1]]],[[[1,1,2,1],[3,2,1,1,3,-2,2,1,1,-1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,1,
-1],[1,-1,3,-1,2,1],[5,1,4,1,6,-1,4,1,6,-1,3,-1,5,1]]],[[[1,1,2,1],[3,1,1,-1,
3,-2,2,1,1,-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,-1,3,1,2,1,1,1,2,1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,4,1,1,-1,2,1,3,-1,
4,-2]]],[[[2,1,1,1],[2,1,3,-1,1,-1,3,1,2,1,1,1,2,1]],[[1,-1],[1,1,2,1],[4,2,3,
-1,2,1,1,-1,2,1,3,1,4,-1]],[[1,-1],[1,1,2,1],[2,1,4,1],[2,1,1,1,5,1,3,1,4,-1,
2,1,1,-1,5,1,3,-1,4,-1]]],[[[1,1,2,1,1,-1,2,1,1,1,2,1,1,-1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,1],[4,1,5,1,1,1,3,-1,5,-1,4,-1]],[[1,-1],[1,1,2,1],[2,1,1,1],[3,1,
5,1,4,-1,5,1,2,1,5,-1,3,-1,4,-1,5,1]]],[[[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],[2,1,1,1],[2,1,3,1],[4,1,5,1,1,1,3,-1,5,-1,4,
-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,-1,4,1]],[[2,1,1,-1,2,1,1,-1],[3,2,2,1,
1,-1]]],[[[1,-1,2,1,1,-1,2,1,1,-1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,1,-1],[1,-1,
3,-1,2,1],[5,1,4,1,6,-1,4,1,6,-1,3,-1,5,1]]],[[[1,-1],[1,1,2,1],[4,1,3,1,2,1,
1,-1,2,1,3,1,4,-1]]],[[[1,-1,2,1,1,-1,2,1,1,-1,2,1]],[[2,1,1,1],[2,1,3,-1,1,
-1,3,1,2,1,1,1,2,1]]],[[[2,1,1,-1,2,1,1,-1],[3,2,2,1,1,-1]],[[1,1,2,1],[1,-1,
3,-3,2,1,1,-1,2,1]]],[[[1,1,2,1],[1,-1,3,-2,2,1,1,1,2,1,3,2]],[[1,-1],[1,1,2,
1],[2,1,4,1],[5,1,3,1,4,-2,5,1,3,-1]]],[[[1,1,2,1],[3,1,1,-1,3,-2,2,1,1,-1,2,
1]],[[1,1,2,1],[2,1,1,1],[1,-1,4,2,2,1,3,2]]],[[[1,-1],[1,1,2,1],[3,1,2,1,4,1,
1,-1,2,1,3,-1,4,-2]],[[1,-1],[1,1,2,1],[2,1,1,-1,2,1,3,1,4,-2,2,1,4,1,3,
-1]]],[[[2,1,1,1],[1,-1,3,2]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,1,3,2,1,1,4,
-1]]],[[[1,1,2,1],[3,2,1,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,1,1,3,-1,4,-1,
1,-1,2,1]]],[[[1,1,2,1],[2,1,1,1,2,1,3,2,1,1,2,1]],[[1,-1],[1,1,2,1],[3,1,2,1,
4,4,3,-1]]],[[[1,1,2,1],[3,1,1,-1,3,-2,2,1,1,-1,2,1]],[[1,-1],[1,1,2,1],[2,1,
4,1],[3,1,5,1,4,1,3,1,5,-1,4,1]]],[[[2,1]],[[1,-1],[3,1,2,1,1,-1,2,1,1,1,2,1,
3,-1]]],[[[2,1,1,1,2,1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,1,1,4,-1,2,1,3,-1,4,
-1]]],[[[1,1,2,1],[3,1,1,-1,3,-1]],[[2,1,1,1],[2,1,3,-1,1,-1,3,1,2,1,1,1,2,
1]]],[[[1,-1,2,1,1,-1,2,1,1,-1,2,1]],[[2,1,1,-1,2,1,1,-1],[3,2,2,1,1,-1]]],[[[
1,-1,2,1,1,1]],[[2,1,1,1,2,1],[3,1,1,-1,3,1,1,-1,2,1]],[[1,-1],[1,1,2,1],[4,2,
3,-1,2,1,1,-1,2,1,3,1,4,-1]],[[1,-1],[1,1,2,1],[2,1,4,1],[2,1,1,1,5,1,3,1,4,
-1,2,1,1,-1,5,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,1,-1,4,1]],[[1,
-1],[1,1,2,1],[2,1,4,1],[3,1,5,1,4,2,3,-1,5,-1]]],[[[1,1,2,1],[2,1,1,-1,2,1],[
4,1,1,-1,3,-1,4,1,3,1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,1,-1,2,1,3,1,4,
-1]]],[[[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]]],[[[
2,1,1,1],[2,1,3,-1,1,-1,3,1,2,1,1,1,2,1]],[[1,-1],[1,1,2,1],[4,1,3,1,2,1,1,-1,
2,1,3,1,4,-1]]],[[[2,1,1,1,2,1],[3,1,1,-1,3,1,1,-1,2,1]],[[1,1,2,1],[3,1,1,-1,
3,-2,2,1,1,-1,2,1]],[[1,1,2,1],[2,1,1,1],[1,-1,4,2,2,1,3,2]]],[[[2,1,1,1,2,
1],[3,1,1,-1,3,1,1,-1,2,1]],[[1,1,2,1],[3,1,1,-1,3,-1,2,1,1,1,2,1]]],[[[1,1,2,
1],[3,1,1,1,3,-1,2,1,1,1,2,1]],[[2,1,1,-1,2,1,1,-1],[3,2,2,1,1,-1]]],[[[1,-1,
2,1,1,-1,2,1,1,-1,2,1]],[[1,1,2,1],[2,1,3,1,1,-1],[3,1,4,-2]]],[[[1,1,2,1],[3,
2,1,-1,2,1,1,1]],[[1,1,2,1],[1,-1,3,-1,2,1,3,1,1,1,2,1]]],[[[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]]],[[[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]],[[2,1,1,1],[2,1,3,-1,1,-1,3,1,2,1,1,1,2,
1]]],[[[1,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,-1,3,-1]],[[2,1,1,1,2,1],[3,1,1,-1,3,
1,1,-1,2,1]]],[[[2,1,1,1,2,1]],[[1,-1,2,1,1,1]],[[1,-1],[1,1,2,1],[4,2,3,-1,2,
1,1,-1,2,1,3,1,4,-1]]],[[[1,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,-1,2,1,3,1,1,1,3,
-1]]],[[[1,-1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,1]]],[[[2,1,1,-1,2,
1,1,-1,2,1,1,-1]],[[1,-1,2,1,1,-1,2,1,1,-1,2,1]]],[[[1,-1,2,1]],[[2,1,1,-1,2,
1,1,-1],[3,2,2,1,1,-1]]],[[[2,1]],[[1,1,2,1],[3,2,1,-1,2,1,1,1]]],[[[2,1]],[[
1,1,2,1],[1,-1,3,-2]]],[[[2,1,1,1]],[[1,1,2,1],[3,2,1,-1,2,1,1,-1]]],[[[2,1,1,
-1,2,1]],[[1,1,2,1],[3,2,1,-1]]],[[[2,1,1,-1]],[[2,1,1,1],[1,-1,3,2]]],[[[2,
1]],[[1,-1,2,1,1,1]],[[1,1,2,1,1,-1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "A5xD10",
[[1],[1,2],[1,3],[1,4],[1,5],[1,3,6],[1,3,4,7],[1,2,3,4,8],[1,9],[1,10],[1,
11],[1,12],[1,3,5,13],[1,4,5,14],[1,2,5,15],[1,2,3,4,6,7,8,16],[1,2,9,17],[1,
3,10,18],[1,3,9,19],[1,4,9,20],[1,2,10,21],[1,4,10,22],[1,4,11,23],[1,4,12,
24],[1,3,5,6,25],[1,2,3,4,5,8,13,14,15,26],[1,5,9,27],[1,3,6,9,19,28],[1,2,3,
4,8,9,17,19,20,29],[1,3,4,7,9,19,20,30],[1,2,3,4,8,10,18,21,22,31],[1,2,3,4,5,
6,7,8,15,16,25,32],[1,9,10,11,12,33],[1,4,5,9,14,20,27,34],[1,3,5,9,13,19,27,
35],[1,2,5,9,15,17,27,36],[1,2,3,4,6,7,8,9,16,17,19,20,28,29,30,37],[1,4,9,10,
11,12,20,22,23,24,33,38],[1,2,9,10,11,12,17,21,33,39],[1,3,9,10,11,12,18,19,
33,40],[1,3,5,6,10,13,18,25,41],[1,3,5,6,9,19,25,27,28,42],[1,2,3,4,5,8,9,13,
14,15,17,19,20,26,27,29,34,35,36,43],[1,2,3,4,8,9,10,11,12,17,18,19,20,21,22,
23,24,29,31,33,38,39,40,44],[1,2,3,4,5,6,7,8,9,15,16,17,19,20,25,27,28,29,30,
32,36,37,42,45],[1,2,3,4,5,6,7,8,10,13,14,15,16,18,21,22,25,26,31,32,41,46],[
1,3,5,6,9,10,11,12,13,18,19,25,27,28,33,35,40,41,42,47],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,2,1],[1,1,1,1,1],[1,1],[1,1],[1,
1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,3,3,1,3,3,1],[1,5,1,1],[1,5,1,1],[
1,1,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,3,4,1,1],[1,1,3,
3,1,3,1,1,1,1],[1,1,1,1],[1,3,1,1,3,1],[1,5,1,5,5,1,1,1,1,1],[1,1,10,5,1,1,2,
1],[1,1,5,5,5,1,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,1,2,2,1],[1,15,1,1,5,
3,1,1],[1,3,1,1,1,3,1,1],[1,5,1,1,5,1,1,1],[1,5,3,15,1,15,15,1,5,1,3,3,1,3,3,
1],[1,25,1,1,2,2,5,5,10,10,1,1],[1,5,1,1,2,2,1,5,1,1],[1,5,1,1,2,2,1,5,1,1],[
1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,1],[1,5,3,15,1,15,1,1,5,5,1,3,3,5,1,
3,1,1,1,1],[1,5,5,25,25,1,1,2,2,1,1,5,5,5,5,10,10,5,5,1,1,1,1,1],[1,5,3,15,4,
1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,
6,6,6,5,10,6,5,1,1],[1,15,10,5,1,6,12,12,10,6,15,5,10,5,6,10,6,1,5,1],[1,5,15,
75,10,5,75,75,1,6,12,12,10,50,50,25,1,6,15,15,30,30,60,60,5,50,10,5,15,15,30,
25,6,10,10,10,5,6,6,6,1,5,10,6,5,5,1,1]],
[1,2,2,2,3,4,4,4,5,5,5,5,6,6,6,8,10,10,10,10,10,10,10,10,12,12,15,20,20,20,20,
24,25,30,30,30,40,50,50,50,60,60,60,100,120,120,300,600],
[48,46,37,16,43,45,16,16,48,44,38,38,43,26,26,32,48,44,37,37,31,31,23,24,45,
26,43,45,37,37,31,32,44,43,43,43,45,44,44,44,48,45,43,44,45,46,48,48],
[1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,1,9,10,1,9,1,10,11,12,6,5,1,1,9,9,10,6,1,27,5,
9,9,33,9,10,41,6,27,33,28,41,41,47],
[( 1, 3)( 2, 4)( 5, 9)( 6,10)( 7,11)( 8,13)(14,19)(15,20)(16,21)(17,22)(18,23)
(24,25),( 1, 5)( 2,17,12, 7, 3, 6)( 4, 8)( 9,18,13,15,10,14)(11,16)(21,25,23)
(22,24)],
[[[[]]],[[[1,1,2,1],[3,2,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,
3,-1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,1,1,
1,2,-1,3,-2]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[
3,2,4,-1,3,1,4,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[
1,1,2,-2,1,1,2,-1,3,2]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,1,
1,1,2,-2,3,2,2,1]]],[[[2,2],[3,1,2,1,1,1,3,-1,2,-1,1,1]]],[[[2,1,1,1,2,2,1,1,
2,1]]],[[[2,1,1,1,2,1],[3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,
-1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,
2,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,
2,-1,3,1]]],[[[1,1,2,-1],[3,2,2,-1,1,1,2,1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,
2,1],[2,1,1,1,3,-2,2,1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-2,3,1]]],[[[2,
-3]],[[1,1,2,-3,1,1]]],[[[2,1,1,1,2,2,1,1,2,1]],[[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,-2,2,-1]]],[[[2,1,1,1,2,-1]],[[2,2],[3,
1,2,1,1,1,3,-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]],[[2,1,1,1,2,2,1,1,2,1]]],[[[1,1]],[[2,1,1,1,2,1],[3,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,-1,3,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,
2,-1]]],[[[2,2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,-1],[3,2,2,-1,1,
1,2,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,2]]],[[[1,
1,2,1],[3,2,2,1,1,1]],[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1,2,1]]],[[[2,-3]],[[2,1,
1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[
2,1,1,1,3,-2,2,1,3,1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1,3,2,2,
1]]],[[[2,2]],[[1,1,2,1],[3,2,2,1,3,1]]],[[[1,1,2,-1,1,1,2,1]],[[1,1,2,2,1,1,
2,-2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2]]],[[[2,1,1,1,2,2]],[[1,1,
2,1],[1,1,2,-1,3,2]]],[[[2,-3]],[[1,1,2,1],[3,2,1,1,3,-1]]],[[[2,-3]],[[1,1,2,
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]],[[2,2,1,1,2,-2,1,1]]],[[[2,-3]],[[1,1,2,-1,1,1,2,1]]],[[[2,-3,1,1]],[[2,2,
1,1,2,1]]],[[[2,-2]],[[1,1,2,-2,1,1]]],[[[2,2]],[[1,1,2,1],[3,1,1,1,2,-1,3,
1]]],[[[2,-3]],[[2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2]]],[[[1,1]],[[2,-1,1,
1,2,1]],[[2,-3]]],[[[2,-1]],[[1,1,2,1],[3,2,2,1,1,1]]],[[[1,1]],[[2,2]]],[[[2,
2]],[[2,1,1,1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "5^2:D12",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,3,4,6],[1,7],[1,8],[1,4,5,9],[1,2,5,10],[1,
3,5,11],[1,2,8,12],[1,3,7,13],[1,2,7,14],[1,4,8,15],[1,3,8,16],[1,4,7,17],[1,
2,3,4,5,6,9,10,11,18],[1,2,3,4,6,7,13,14,17,19],[1,2,3,4,6,8,12,15,16,20],[1,
7,8,21],[1,4,7,8,15,17,21,22],[1,3,7,8,13,16,21,23],[1,2,7,8,12,14,21,24],[1,
5,7,8,21,25],[1,2,3,4,6,7,8,12,13,14,15,16,17,19,20,21,22,23,24,26],[1,2,5,7,
8,10,12,14,21,24,25,27],[1,4,5,7,8,9,15,17,21,22,25,28],[1,3,5,7,8,11,13,16,
21,23,25,29],[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]],
0,[[1],[1,1],[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],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,3,3,1,1,
3,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,1,5,5,1,1,1,1,1],[1,3,3,1],[1,25,3,3,15,
15,1,1],[1,5,3,3,1,5,1,1],[1,5,3,3,1,5,1,1],[1,25,3,3,1,1],[1,5,5,25,25,3,3,1,
1,5,15,5,15,5,5,1,1,1,1,1],[1,15,25,3,3,25,3,15,1,3,1,1],[1,25,25,3,3,25,15,
15,1,1,1,1],[1,15,25,3,3,25,3,15,1,3,1,1],[1,15,15,25,25,75,3,3,25,25,25,3,3,
15,15,15,15,25,15,15,1,1,3,3,1,3,1,1,1,1]],
[1,2,2,2,3,4,5,5,6,6,6,10,10,10,10,10,10,12,20,20,25,50,50,50,75,100,150,150,
150,300],
[30,19,20,18,18,6,26,26,18,18,18,26,26,19,20,20,19,18,19,20,30,30,26,26,30,26,
30,30,30,30],
[1,1,1,1,1,1,1,1,1,5,5,8,7,1,8,1,7,5,7,8,1,21,7,8,21,21,25,21,25,25],
[( 1, 4)( 2, 5)( 7, 8)( 9,11)(13,14),( 1,11,10, 7, 2, 6)( 3, 5, 8)
( 4,15,14,13,12, 9)],
[[[[]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1]]],[[[1,1,2,-1],[3,2,1,1,2,1]]],[[[1,1,
2,1],[1,1,2,-2,3,3]]],[[[1,1,2,-1,1,1,2,-3]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,
1]],[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,1]]],[[[2,1,1,1,2,2,1,1,2,1]]],[[[2,1,1,1,
2,-1,1,1,2,-2]]],[[[1,1,2,-1,1,1,2,-3]],[[2,2,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,
-1,1,1,2,-3]],[[1,1,2,1],[1,1,2,-1,3,2,2,1]]],[[[1,1,2,-1,1,1,2,-3]],[[1,1,2,
1],[2,1,3,2,1,1,2,-2]]],[[[1,1]],[[2,1,1,1,2,-1,1,1,2,-2]]],[[[2,1,1,1,2,2,1,
1,2,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1]]],[[[2,1,1,1,2,2,1,1,2,1]],[[1,1,2,1],[
1,1,2,-1,3,2,2,1]]],[[[2,1,1,1,2,-1,1,1,2,-2]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,
2]]],[[[1,1,2,1],[3,2],[4,2,2,1,1,1]]],[[[1,1,2,-2,1,1,2,1]],[[1,1,2,2,1,1,2,
-1]]],[[[1,1,2,-1,1,1,2,-3]],[[1,1,2,1],[1,1,2,-1,3,2,2,1]],[[2,2,1,1,2,-2,1,
1,2,-1]]],[[[2,-3]],[[2,1,1,1],[3,1,2,-1,1,1,3,1]],[[2,1,1,1,2,2,1,1,2,
1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[3,2],[4,2,2,1,1,1]]],[[[
1,1,2,1,1,1,2,1]],[[1,1,2,-1,1,1,2,-1]]],[[[2,-3]],[[1,1,2,1,1,1,2,1]],[[2,1,
1,1,2,1,1,1]]],[[[2,1,1,1]],[[2,2,1,1,2,1]]],[[[1,1]],[[2,1,1,1,2,1]]],[[[2,
2]],[[2,1,1,1,2,1,1,1]]],[[[2,1,1,1,2,1]],[[2,-3]]],[[[1,1]],[[2,-2]]],[[[2,
-1]],[[1,1,2,-1,1,1]]],[[[2,2]],[[1,1,2,1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "3.A6.2^2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,2,9],[1,2,3,10],[1,2,
11],[1,2,3,12],[1,2,4,13],[1,14],[1,3,5,15],[1,4,5,16],[1,2,5,17],[1,2,6,18],[
1,3,6,19],[1,3,6,20],[1,2,8,21],[1,2,7,8,22],[1,2,8,9,23],[1,2,3,7,10,12,24],[
1,2,3,8,12,25],[1,2,3,8,10,11,26],[1,2,4,8,13,27],[1,2,8,28],[1,2,3,4,9,10,13,
29],[1,2,4,9,11,13,30],[1,2,3,7,11,12,31],[1,5,6,32],[1,2,14,33],[1,4,14,34],[
1,4,14,35],[1,2,6,7,36],[1,2,5,7,17,37],[1,2,5,11,17,38],[1,2,5,8,17,39],[1,2,
3,5,10,15,17,40],[1,2,6,7,41],[1,2,5,9,17,42],[1,2,3,5,12,15,17,43],[1,2,4,5,
13,16,17,44],[1,2,3,6,12,18,19,20,45],[1,5,14,46],[1,2,7,8,9,21,22,23,47],[1,
2,3,8,9,12,23,25,28,48],[1,2,3,8,10,11,21,26,28,49],[1,2,4,7,8,13,22,27,28,
50],[1,2,3,4,8,9,10,11,13,23,26,27,29,30,51],[1,2,3,7,8,10,11,12,22,24,25,26,
31,52],[1,2,3,4,8,12,13,21,25,27,53],[1,3,5,6,15,19,32,54],[1,3,5,6,15,20,32,
55],[1,2,5,6,17,18,32,56],[1,2,9,14,33,57],[1,2,4,13,14,33,34,35,58],[1,2,11,
14,33,59],[1,2,6,7,8,18,22,36,60],[1,2,3,5,7,10,12,15,17,24,37,40,43,61],[1,2,
5,7,8,17,22,37,39,62],[1,2,3,5,8,10,11,15,17,26,38,39,40,63],[1,2,5,8,17,21,
39,64],[1,2,3,5,8,12,15,17,25,39,43,65],[1,2,5,8,17,28,39,66],[1,2,5,8,9,17,
23,39,42,67],[1,2,4,5,8,13,16,17,27,39,44,68],[1,2,3,5,7,11,12,15,17,31,37,38,
43,69],[1,2,3,6,7,11,12,19,31,36,70],[1,2,3,6,7,10,12,20,24,36,71],[1,2,3,4,5,
9,10,13,15,16,17,29,40,42,44,72],[1,2,4,5,9,11,13,16,17,30,38,42,44,73],[1,2,
3,6,7,11,12,19,31,41,74],[1,5,6,32,75],[1,4,5,14,16,34,46,76],[1,4,5,14,16,35,
46,77],[1,2,5,14,17,33,46,78],[1,2,3,4,7,8,9,10,11,12,13,21,22,23,24,25,26,27,
28,29,30,31,47,48,49,50,51,52,53,79],[1,2,5,6,7,17,32,36,37,41,80],[1,2,3,5,6,
12,15,17,18,19,20,32,43,45,54,55,56,81],[1,2,4,9,11,13,14,30,33,34,35,57,58,
59,82],[1,2,3,4,5,8,12,13,15,16,17,21,25,27,39,43,44,53,64,65,68,83],[1,2,3,5,
8,10,11,15,17,21,26,28,38,39,40,49,63,64,66,84],[1,2,3,5,7,8,10,11,12,15,17,
22,24,25,26,31,37,38,39,40,43,52,61,62,63,65,69,85],[1,2,4,5,7,8,13,16,17,22,
27,28,37,39,44,50,62,66,68,86],[1,2,3,4,5,8,9,10,11,13,15,16,17,23,26,27,29,
30,38,39,40,42,44,51,63,67,68,72,73,87],[1,2,5,7,8,9,17,21,22,23,37,39,42,47,
62,64,67,88],[1,2,3,5,8,9,12,15,17,23,25,28,39,42,43,48,65,66,67,89],[1,2,3,6,
7,8,10,11,12,18,19,20,22,24,25,26,31,36,45,52,60,70,71,90],[1,2,5,6,17,18,32,
56,75,91],[1,3,5,6,15,19,20,32,54,55,75,92],[1,2,6,7,14,18,33,41,93],[1,2,5,9,
14,17,33,42,46,57,78,94],[1,2,5,11,14,17,33,38,46,59,78,95],[1,2,4,5,13,14,16,
17,33,34,35,44,46,58,76,77,78,96],[1,2,3,5,6,7,11,12,15,17,19,31,32,36,37,38,
41,43,54,69,70,74,80,97],[1,2,3,5,6,7,10,12,15,17,20,24,32,36,37,40,41,43,55,
61,71,80,98],[1,2,5,6,7,8,17,18,22,32,36,37,39,41,56,60,62,80,99],[1,2,3,4,5,
7,8,9,10,11,12,13,15,16,17,21,22,23,24,25,26,27,28,29,30,31,37,38,39,40,42,43,
44,47,48,49,50,51,52,53,61,62,63,64,65,66,67,68,69,72,73,79,83,84,85,86,87,88,
89,100],[1,2,5,6,8,17,18,32,39,56,75,91,101],[1,2,3,5,6,12,15,17,18,19,20,32,
43,45,54,55,56,75,81,91,92,102],[1,2,5,6,9,17,18,32,42,56,75,91,103],[1,2,4,5,
9,11,13,14,16,17,30,33,34,35,38,42,44,46,57,58,59,73,76,77,78,82,94,95,96,
104],[1,2,3,6,7,11,12,14,18,19,20,31,33,41,45,59,74,93,105],[1,2,3,5,6,7,8,10,
11,12,15,17,18,19,20,22,24,25,26,31,32,36,37,38,39,40,41,43,45,52,54,55,56,60,
61,62,63,65,69,70,71,74,80,81,85,90,97,98,99,106],[1,2,5,6,7,14,17,18,32,33,
36,37,41,46,56,78,80,93,107],[1,2,3,5,6,8,12,15,17,18,19,20,25,32,39,43,45,54,
55,56,65,75,81,91,92,101,102,108],[1,2,5,6,8,9,17,18,23,32,39,42,56,67,75,91,
101,103,109],[1,2,5,6,8,17,18,28,32,39,56,66,75,91,101,110],[1,2,3,5,6,7,11,
12,14,15,17,18,19,20,31,32,33,36,37,38,41,43,45,46,54,55,56,59,69,70,74,78,80,
81,93,95,97,105,107,111],[1,2,3,5,6,8,9,12,15,17,18,19,20,23,25,28,32,39,42,
43,45,48,54,55,56,65,66,67,75,81,89,91,92,101,102,103,108,109,110,112],[1,2,5,
6,7,8,14,17,18,22,32,33,36,37,39,41,46,56,60,62,75,78,80,91,93,99,101,107,
113],[1,2,3,5,6,7,8,10,11,12,14,15,17,18,19,20,22,24,25,26,31,32,33,36,37,38,
39,40,41,43,45,46,52,54,55,56,59,60,61,62,63,65,69,70,71,74,75,78,80,81,85,90,
91,92,93,95,97,98,99,101,102,105,106,107,108,111,113,114],[1,2,4,5,6,7,8,13,
14,16,17,18,22,27,28,32,33,34,35,36,37,39,41,44,46,50,56,58,60,62,66,68,75,76,
77,78,80,86,91,93,96,99,101,107,110,113,115],[1,2,5,6,7,8,9,14,17,18,21,22,23,
32,33,36,37,39,41,42,46,47,56,57,60,62,64,67,75,78,80,88,91,93,94,99,101,103,
107,109,113,116],[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],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,
1],[1,1,2,1],[1,1,2,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,
1],[1,1,1,1],[1,1,1,1],[1,5,2,1,1],[1,1,1,2,1],[1,3,4,1,3,3,1],[1,1,4,1,2,1],[
1,1,2,1,1,1,1],[1,1,4,1,2,1],[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],[1,1,3,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[
1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,6,
1,3,2,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1],[1,5,2,1,2,1,1,1,
1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,5,4,2,1,2,1,1,1,1],[1,1,2,4,
1,2,1,1,2,1,1,1,2,2,1],[1,5,6,2,1,5,1,6,1,2,1,1,2,1],[1,1,4,4,1,2,2,1,1,1,1],[
1,9,1,3,3,9,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,3,1,1,1],[1,5,5,1,1,1],[1,5,6,5,1,
1,1,1,1],[1,5,5,1,1,1],[1,9,4,4,3,4,3,1,1],[1,3,12,1,1,9,9,4,3,3,1,3,3,1],[1,
5,1,2,1,5,1,2,1,1],[1,1,6,1,1,3,3,2,1,3,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,12,1,
1,6,4,1,3,1,2,1],[1,1,1,1,1,3,1,1],[1,1,1,1,2,1,1,1,2,1],[1,1,12,1,1,6,4,1,3,
1,2,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,4,4,1,3,3,4,
1,1,1],[1,1,6,6,1,1,3,3,2,2,1,3,1,1,1,1],[1,1,6,1,1,3,3,2,1,3,1,1,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,1,12,4,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,5,1,1,5,
1,1,1],[1,5,6,4,2,1,2,5,1,6,2,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,
12,1,3,4,1,1,2,1],[1,3,12,1,3,9,4,3,1,9,3,1,3,3,1,1,1,1],[1,5,6,5,5,5,1,5,1,1,
1,1,1,1,1],[1,1,12,12,1,1,6,6,4,4,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,1,1,3,3,2,1,
1,3,3,1,1,1,3,1,1,1,1],[1,5,18,1,2,1,15,3,18,6,5,1,6,3,3,6,2,1,1,5,6,3,2,1,1,
1,2,1],[1,5,12,1,2,1,6,4,5,1,3,3,2,1,2,3,1,1,1,1],[1,1,6,12,1,1,2,3,3,6,2,4,1,
1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,5,1,2,1,2,5,1,1,1,2,1,2,1,1,1,1,1],[1,1,
12,1,1,2,6,4,1,1,3,3,1,2,2,3,1,1,1,1],[1,9,10,4,4,3,9,3,12,4,4,4,3,4,3,3,6,1,
4,3,1,1,1,1],[1,9,1,12,9,12,4,12,1,1],[1,9,1,12,3,9,9,4,1,3,1,1],[1,15,10,5,6,
10,6,5,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,18,1,15,1,
6,5,1,3,3,5,1,3,1,1,1,1],[1,3,18,1,12,1,9,9,6,3,36,9,4,1,1,3,2,3,4,3,3,6,1,
1],[1,3,12,1,12,1,9,9,4,3,12,3,4,1,1,3,2,3,4,1,3,1,1],[1,9,1,12,4,3,9,4,3,4,1,
4,3,2,4,1,3,1,1],[1,5,18,12,1,2,1,2,15,3,18,6,6,4,5,1,1,1,6,3,3,3,3,6,6,6,2,1,
1,5,2,6,2,1,3,3,3,3,3,3,2,1,1,1,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[1,9,1,12,9,
9,12,4,9,12,1,1,1],[1,9,18,1,12,27,6,9,12,18,18,4,9,18,2,6,12,1,6,1,2,1],[1,9,
1,12,9,9,12,4,9,12,1,1,1],[1,5,18,1,5,15,15,1,6,5,15,1,3,3,5,5,5,1,1,3,3,5,1,
1,1,3,1,1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,9,30,1,12,
4,3,27,9,36,10,9,4,36,12,3,12,9,9,18,4,1,4,3,3,9,2,12,12,9,4,4,4,1,4,3,3,3,6,
3,3,6,1,4,3,3,1,1,1,1],[1,15,1,30,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,9,36,
1,12,9,54,12,9,12,36,36,27,4,9,18,36,4,12,12,9,1,12,1,4,1,2,1],[1,9,1,12,9,18,
9,12,9,4,9,18,12,9,1,1,1,2,1],[1,9,1,12,9,9,12,27,4,9,12,9,1,1,1,1],[1,15,30,
1,30,5,45,45,6,10,15,10,90,30,45,10,6,5,5,15,10,15,30,6,10,10,10,18,15,15,30,
6,5,10,1,6,5,3,1,1],[1,9,36,1,12,9,18,54,12,9,12,36,36,9,27,27,4,9,18,18,36,
27,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,45,1,120,30,45,36,45,120,45,40,
36,30,30,45,60,36,120,30,45,10,36,30,10,12,30,10,12,1],[1,45,90,1,120,30,45,
135,135,270,36,30,45,120,360,360,45,90,135,135,270,40,36,30,30,45,45,45,60,90,
360,36,135,40,120,120,108,30,30,45,45,45,90,90,90,180,10,36,30,120,45,90,10,
40,12,36,30,30,30,10,20,36,30,12,10,12,1,1],[1,45,108,1,120,30,45,270,36,36,
45,120,45,135,135,40,36,108,108,30,30,45,60,90,36,135,120,108,30,45,45,45,10,
36,36,36,30,45,10,12,36,30,10,12,10,1,1],[1,45,1,120,30,45,90,36,45,120,45,45,
45,40,36,30,30,45,60,90,36,45,120,36,30,45,45,45,10,36,30,45,10,12,36,30,10,
20,12,10,1,1],[1,45,90,108,1,120,30,45,90,135,135,270,270,36,30,36,45,120,360,
360,45,45,45,90,135,135,135,135,270,270,270,40,36,108,108,30,30,45,45,45,60,
90,90,90,360,36,45,135,135,135,135,135,135,40,120,120,36,108,108,30,30,45,45,
45,45,45,45,45,90,90,90,90,90,180,10,36,36,36,135,30,120,108,45,45,45,45,45,
45,45,90,10,40,12,36,36,36,30,30,30,45,10,20,20,36,36,30,12,10,10,10,12,10,1,
1,1,1,1]],
[1,2,2,2,3,3,4,4,4,4,4,4,4,5,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,9,10,10,10,12,
12,12,12,12,12,12,12,12,12,15,16,16,16,16,16,16,16,18,18,18,20,20,20,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,27,30,30,30,32,36,36,40,48,48,48,48,48,48,
48,48,54,54,60,60,60,60,72,72,72,96,108,108,108,120,120,144,180,216,216,216,
360,432,1080,2160,2160,2160,4320],
[117,100,90,82,117,81,106,100,87,79,79,52,51,104,106,104,100,81,45,45,100,100,
100,90,79,79,79,79,51,51,52,102,104,82,82,106,106,100,100,100,97,87,85,87,45,
104,100,79,79,79,79,79,79,102,81,81,104,82,82,106,106,100,100,100,100,100,100,
100,85,90,90,87,87,74,112,104,104,104,79,106,81,82,100,100,100,100,100,100,
100,90,112,102,111,104,104,104,106,106,106,100,112,108,109,104,105,106,111,
112,112,112,111,112,117,117,117,117,117],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,6,6,1,1,2,2,1,2,1,2,1,2,1,2,1,14,14,1,7,1,
5,1,5,7,1,5,5,6,1,8,8,2,8,2,2,8,32,5,6,14,14,14,36,5,2,5,1,17,5,2,17,17,36,7,
17,5,41,5,46,5,14,8,7,32,14,39,17,17,39,17,8,39,36,75,32,93,14,46,46,80,37,36,
39,75,75,75,46,93,80,93,91,91,75,107,101,113,113,113,113,113],
[(  1, 12, 75, 36, 61,  5, 91, 14, 49, 40, 42, 32, 26, 95, 59, 82, 62, 94, 89,
 19,  8, 30, 13, 84)(  2, 71, 76,  4, 69, 97, 98, 64, 45,  3, 38, 29, 74, 85,
  72, 60, 57, 50, 55, 44, 83, 88, 79,  6)(  7, 93, 73, 31, 48, 25, 68, 24, 63,
 53, 86, 27)(  9, 16, 67, 34, 17, 47)( 10, 33, 56, 99, 43, 28,100, 37, 46, 80,
 66, 39, 52, 11, 41, 92, 70, 18, 77, 78, 51, 15, 65, 90)( 20, 87)
( 21, 81, 58, 35, 96, 22, 54, 23),(  2, 14, 94, 74)(  3, 65, 68, 13)
(  4, 75, 48, 10)(  5, 27, 19, 39)(  6, 85)(  7, 70, 29, 89)(  8, 51, 34, 66)
(  9, 28, 76, 33)( 11, 55, 80, 17)( 12, 69, 45, 84)( 15, 38, 18, 67)
( 16, 77, 26, 43)( 20, 96, 23, 58)( 21, 54, 22, 81)( 24, 32, 78, 30)( 25, 90)
( 31, 36, 99, 95)( 35, 87)( 37, 53)( 40, 83, 57, 82)( 41, 73, 59, 50)
( 42, 63, 46, 44)( 47, 56, 61, 52)( 49, 62)( 60, 88)( 64, 97)( 71,100, 86, 91)
( 72, 79)( 92, 93)],
[[[[]]],[[[1,2],[1,1,2,1],[3,1,2,1,4,2,2,1,3,-1]]],[[[1,2],[1,1,2,1],[4,2,3,1,
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2]]],[[[2,1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[1,1,2,1],[3,1,2,1,3,
1]],[[2,1,1,1],[3,1,2,1,3,1,1,2]]],[[[1,1,2,1,1,-1,2,-1,1,-2]],[[2,-2,1,-2,2,
-2,1,-1]]],[[[2,-2,1,1,2,1]],[[1,2],[3,1,2,-1,3,-1]]],[[[1,1,2,1,1,1,2,-1]],[[
2,1,1,1,2,-1,1,-1,2,1]]],[[[2,1]],[[2,1,1,1,2,1,1,1]],[[1,2],[3,4]]],[[[2,1,1,
1],[3,2,1,2]],[[1,2],[2,-1,3,2,2,1]]],[[[2,1,1,1,2,1,1,1]],[[1,2],[2,-1,3,
-2]]],[[[2,1,1,1,2,1,1,1]],[[2,-2,1,3]]],[[[1,-1,2,-1]],[[1,3,2,-2,1,-1]]],[[[
1,2,2,-1]],[[1,-3,2,1,1,1]],[[2,-2,1,2,2,1]]],[[[2,1,1,1]],[[1,2],[3,2,2,
1]]],[[[1,2]],[[1,1,2,-1,1,-1,2,-1]]],[[[2,1]],[[1,2]]],[[[1,-1,2,-1]],[[1,1,
2,1]]],[[[1,1]],[[2,-2]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "2^(1+4)-.S5",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,3,7],[1,2,8],[1,2,9],[1,4,10],[1,2,4,
11],[1,2,5,12],[1,3,13],[1,3,4,14],[1,4,15],[1,4,5,16],[1,4,17],[1,3,5,18],[1,
19],[1,2,6,20],[1,5,6,21],[1,3,6,22],[1,4,6,23],[1,5,6,24],[1,2,8,25],[1,2,8,
9,26],[1,2,3,7,8,27],[1,2,8,28],[1,2,3,7,8,29],[1,2,3,4,7,11,14,30],[1,2,3,7,
13,31],[1,2,8,32],[1,2,5,8,12,33],[1,3,13,34],[1,2,4,10,11,15,35],[1,3,13,
36],[1,2,5,8,9,12,37],[1,2,4,5,11,12,16,38],[1,2,3,5,7,12,18,39],[1,2,4,8,11,
40],[1,2,8,41],[1,2,4,9,11,42],[1,2,3,5,7,9,12,43],[1,3,13,44],[1,2,5,8,12,
45],[1,3,4,10,14,15,46],[1,3,4,13,14,47],[1,2,4,11,17,48],[1,3,5,13,18,49],[1,
2,4,5,9,11,12,50],[1,3,5,13,18,51],[1,4,5,10,16,17,52],[1,4,5,15,16,17,53],[1,
2,19,54],[1,4,19,55],[1,4,19,56],[1,2,6,9,20,57],[1,2,5,6,12,20,21,58],[1,2,6,
8,20,59],[1,4,6,10,60],[1,2,6,9,20,61],[1,2,3,6,7,20,22,62],[1,2,4,6,11,20,23,
63],[1,2,5,6,12,20,24,64],[1,3,5,6,18,21,22,24,65],[1,3,5,6,18,21,22,24,66],[
1,2,3,7,8,25,29,67],[1,2,3,7,8,9,26,27,28,68],[1,2,3,4,7,10,11,14,15,30,35,46,
69],[1,2,3,7,8,25,27,29,70],[1,2,3,7,13,31,34,71],[1,2,3,4,7,8,11,14,29,30,40,
72],[1,2,3,7,8,13,29,31,73],[1,2,5,8,9,12,25,37,45,74],[1,2,3,7,8,29,41,75],[
1,2,3,7,8,28,29,32,76],[1,2,3,7,8,29,32,77],[1,2,3,4,7,11,13,14,30,31,47,78],[
1,2,5,8,12,25,28,33,79],[1,2,3,5,7,8,12,27,32,33,80],[1,2,3,4,7,11,13,14,30,
31,81],[1,2,8,9,25,26,32,82],[1,2,3,5,7,8,9,12,26,29,33,37,43,83],[1,2,3,5,7,
8,12,18,29,33,39,45,84],[1,2,4,5,8,9,11,12,26,37,40,42,50,85],[1,2,4,8,11,25,
40,41,86],[1,2,3,4,7,11,14,17,30,48,87],[1,2,3,4,5,7,9,11,12,14,16,30,38,42,
43,50,88],[1,2,5,8,9,12,28,37,41,89],[1,2,4,5,8,9,11,12,16,33,37,38,40,50,
90],[1,2,4,5,8,11,12,32,40,45,91],[1,2,5,8,12,33,41,45,92],[1,2,5,8,12,25,32,
33,93],[1,2,5,8,9,12,26,41,45,94],[1,2,3,5,7,12,13,18,31,39,49,51,95],[1,2,3,
4,7,8,11,27,40,41,96],[1,2,3,7,13,31,36,44,97],[1,2,5,8,9,12,32,37,41,98],[1,
2,4,5,8,11,12,28,40,45,99],[1,2,3,5,7,8,9,12,18,27,37,39,43,45,100],[1,2,3,4,
7,8,11,13,14,29,30,31,101],[1,3,4,5,13,14,18,36,47,51,102],[1,2,4,9,10,11,15,
17,35,42,48,103],[1,3,4,5,13,14,18,44,47,51,104],[1,2,4,5,10,11,12,15,16,17,
35,38,48,52,53,105],[1,3,5,13,18,34,44,49,106],[1,3,5,13,18,34,36,49,107],[1,
2,4,11,19,54,55,56,108],[1,4,17,19,55,109],[1,4,17,19,55,110],[1,2,6,8,20,25,
111],[1,3,6,13,22,34,112],[1,2,3,6,7,8,20,22,27,59,62,113],[1,2,5,6,8,9,12,20,
21,37,57,58,59,114],[1,2,6,8,20,28,59,115],[1,2,6,8,20,41,59,116],[1,2,4,6,10,
11,15,20,35,60,117],[1,2,5,6,8,12,20,24,45,59,64,118],[1,2,4,6,8,11,20,23,40,
59,63,119],[1,2,6,8,9,20,26,59,61,120],[1,2,4,6,9,11,20,23,42,57,61,63,121],[
1,3,4,6,10,14,15,22,46,60,122],[1,2,4,5,6,9,11,12,20,21,23,50,58,61,63,123],[
1,4,5,6,10,16,17,24,52,60,124],[1,2,3,5,6,7,9,12,20,22,24,43,57,62,64,125],[1,
2,3,5,6,7,12,18,20,21,22,24,39,58,62,64,65,66,126],[1,2,3,7,8,25,27,29,67,70,
127],[1,2,3,7,8,25,27,28,29,32,70,76,77,128],[1,2,3,5,7,8,9,12,18,25,26,27,29,
33,37,39,43,45,70,74,83,84,100,129],[1,2,3,7,8,13,28,29,31,32,73,76,130],[1,2,
3,4,7,8,11,14,29,30,32,40,72,77,131],[1,2,3,4,7,8,11,13,14,25,29,30,31,40,67,
72,73,101,132],[1,2,3,5,7,8,12,13,18,29,31,33,39,45,49,51,73,84,95,133],[1,2,
3,7,8,25,29,41,67,75,134],[1,2,3,4,5,7,8,9,11,12,14,16,26,29,30,33,37,38,40,
42,43,50,72,83,85,88,90,135],[1,2,3,7,8,28,29,32,41,75,76,77,136],[1,2,3,7,8,
13,29,31,36,44,73,97,137],[1,2,3,4,7,8,11,14,17,29,30,40,48,72,87,138],[1,2,3,
4,7,8,11,13,14,29,30,31,34,47,71,73,78,81,101,139],[1,2,3,5,7,8,12,18,25,27,
29,32,33,39,45,70,77,80,84,93,140],[1,2,3,5,7,8,9,12,26,28,29,32,33,37,41,43,
75,76,83,89,98,141],[1,2,3,5,7,8,9,12,18,26,29,33,37,39,41,43,45,75,83,84,92,
94,142],[1,2,3,7,8,13,25,27,29,31,41,70,73,75,143],[1,2,3,5,7,8,12,18,29,32,
33,39,41,45,75,77,84,144],[1,2,3,5,7,8,12,18,25,28,29,32,33,39,45,67,76,79,84,
93,145],[1,2,3,4,5,7,8,11,12,14,18,28,29,30,32,33,39,40,45,72,76,84,91,99,
146],[1,2,3,5,7,8,9,12,13,26,29,31,32,33,37,43,73,77,83,147],[1,2,3,5,7,8,9,
12,25,26,29,32,33,37,43,67,77,82,83,93,148],[1,2,3,4,7,8,10,11,13,14,15,29,30,
31,35,40,46,47,69,72,78,81,101,149],[1,2,3,4,7,8,11,14,25,27,29,30,40,41,70,
72,75,86,96,150],[1,2,3,5,7,8,9,12,25,26,27,28,29,32,33,37,43,68,70,76,79,80,
82,83,151],[1,2,3,4,5,7,8,9,11,12,16,18,27,32,33,37,38,39,40,41,43,45,50,80,
90,91,92,96,98,100,152],[1,2,3,4,5,7,9,11,12,13,14,16,17,30,31,38,42,43,48,50,
81,87,88,153],[1,2,3,4,5,7,11,12,13,14,18,30,31,36,39,44,47,49,51,78,95,97,
102,104,154],[1,2,3,4,5,7,9,10,11,12,14,15,16,17,30,35,38,42,43,46,48,50,52,
53,69,87,88,103,105,155],[1,2,4,5,8,9,11,12,16,25,28,33,37,38,40,41,45,50,74,
79,86,89,90,92,99,156],[1,2,3,4,5,7,8,9,11,12,18,26,27,28,37,39,40,41,42,43,
45,50,68,85,89,94,96,99,100,157],[1,2,4,5,8,9,11,12,25,26,32,37,40,41,42,45,
50,74,82,85,86,91,94,98,158],[1,2,3,5,7,12,13,18,31,34,36,39,44,49,51,71,95,
97,106,107,159],[1,2,4,11,17,19,48,54,55,56,108,109,110,160],[1,2,3,6,7,8,20,
25,27,29,59,70,111,161],[1,2,5,6,8,12,20,21,25,28,33,58,79,111,162],[1,2,6,8,
9,20,25,26,32,57,82,111,163],[1,2,5,6,8,9,12,20,25,37,45,61,74,111,164],[1,2,
5,6,8,12,20,24,25,32,33,64,93,111,165],[1,2,3,6,7,8,20,22,25,29,62,67,111,
166],[1,2,4,6,8,11,20,23,25,40,41,63,86,111,167],[1,3,5,6,13,18,21,22,24,34,
36,49,65,107,112,168],[1,2,3,6,7,8,9,20,22,26,27,28,59,61,62,68,113,115,120,
169],[1,2,3,5,6,7,8,9,12,18,20,21,22,24,27,37,39,43,45,57,58,59,62,64,65,66,
100,113,114,118,125,126,170],[1,3,5,6,13,18,21,22,24,34,44,49,66,106,112,
171],[1,2,3,6,7,13,20,22,31,34,62,71,112,172],[1,2,5,6,8,9,12,20,24,26,41,45,
59,61,64,94,116,118,120,173],[1,2,4,5,6,8,9,11,12,20,21,23,26,37,40,42,50,57,
58,59,61,63,85,114,119,120,121,123,174],[1,2,5,6,8,9,12,20,21,28,37,41,57,58,
59,89,114,115,116,175],[1,2,4,5,6,8,11,12,20,23,24,28,40,45,59,63,64,99,115,
118,119,176],[1,2,4,6,9,10,11,15,17,20,35,42,48,57,60,103,117,177],[1,2,3,4,6,
7,8,11,20,22,23,27,40,41,59,62,63,96,113,116,119,178],[1,2,3,4,6,7,10,11,14,
15,20,22,30,35,46,60,62,69,117,122,179],[1,2,4,5,6,10,11,12,15,16,17,20,24,35,
38,48,52,53,60,64,105,117,124,180],[1,4,6,10,19,23,56,60,181],[1,2,3,4,7,8,10,
11,13,14,15,25,29,30,31,34,35,40,46,47,67,69,71,72,73,78,81,101,132,139,149,
182],[1,2,3,5,7,8,9,12,18,25,26,27,28,29,32,33,37,39,43,45,67,68,70,74,76,77,
79,80,82,83,84,93,100,127,128,129,140,145,148,151,183],[1,2,3,4,5,7,8,11,12,
13,14,18,25,28,29,30,31,32,33,39,40,45,49,51,67,72,73,76,79,84,91,93,95,99,
101,130,132,133,145,146,184],[1,2,3,4,7,8,11,13,14,25,29,30,31,36,40,44,67,72,
73,97,101,132,137,185],[1,2,3,4,7,8,11,13,14,17,25,29,30,31,40,48,67,72,73,87,
101,132,138,186],[1,2,3,4,7,8,11,13,14,25,29,30,31,40,41,67,72,73,75,101,132,
134,187],[1,2,3,4,7,8,11,13,14,25,27,29,30,31,40,41,67,70,72,73,75,86,96,101,
127,132,134,143,150,188],[1,2,3,4,5,7,8,9,11,12,13,14,16,25,26,29,30,31,32,33,
37,38,40,42,43,50,67,72,73,77,82,83,85,88,90,93,101,131,132,135,147,148,189],[
1,2,3,4,5,7,8,11,12,13,14,18,29,30,31,33,34,36,39,44,45,47,49,51,71,73,78,81,
84,95,97,101,102,104,106,107,133,137,139,154,159,190],[1,2,3,5,7,8,9,12,13,18,
25,26,27,29,31,32,33,37,39,41,43,45,49,51,70,73,74,75,77,80,83,84,92,93,94,95,
100,129,133,140,142,143,144,147,191],[1,2,3,5,7,8,9,12,13,25,26,27,28,29,31,
32,33,37,41,43,68,70,73,75,76,77,79,80,82,83,89,98,128,130,136,141,143,147,
151,192],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,26,29,30,31,33,35,37,38,40,
42,43,46,47,48,50,52,53,69,72,78,81,83,85,87,88,90,101,103,105,135,138,149,
153,155,193],[1,2,3,4,7,8,11,13,14,28,29,30,31,32,34,36,44,47,71,73,76,78,81,
97,101,130,137,139,194],[1,2,3,4,5,7,8,9,11,12,14,16,18,25,26,27,28,29,30,32,
33,37,38,39,40,41,42,43,45,50,68,70,72,74,75,76,79,80,82,83,84,85,86,88,89,90,
91,92,94,96,98,99,100,129,135,141,142,146,150,151,152,156,157,158,195],[1,2,3,
4,7,8,10,11,13,14,15,17,29,30,31,32,35,40,46,47,48,69,72,77,78,81,87,101,131,
138,149,196],[1,2,3,5,7,8,9,12,18,25,26,28,29,32,33,37,39,41,43,45,67,75,76,
77,79,82,83,84,89,92,93,94,98,134,136,141,142,144,145,148,197],[1,2,3,4,5,7,8,
11,12,14,18,25,27,28,29,30,32,33,39,40,41,45,70,72,75,76,77,80,84,86,91,93,96,
99,128,131,136,140,144,146,150,198],[1,2,3,5,6,7,8,9,12,20,21,25,26,27,28,29,
32,33,37,43,57,58,59,68,70,76,79,80,82,83,111,114,151,161,162,163,199],[1,2,3,
4,6,7,8,11,14,20,23,25,27,29,30,40,41,59,63,70,72,75,86,96,111,119,150,161,
167,200],[1,2,3,6,7,8,20,25,27,28,29,32,59,70,76,77,111,115,128,161,201],[1,2,
3,5,6,7,8,9,12,18,20,25,26,27,29,33,37,39,43,45,59,61,70,74,83,84,100,111,120,
129,161,164,202],[1,2,3,6,7,8,20,22,25,27,29,59,62,67,70,111,113,127,161,166,
203],[1,2,3,5,6,7,8,12,18,20,24,25,27,29,32,33,39,45,59,64,70,77,80,84,93,111,
118,140,161,165,204],[1,2,3,6,7,8,13,20,25,27,29,31,41,59,70,73,75,111,116,
143,161,205],[1,2,4,5,6,8,9,11,12,16,20,21,23,25,28,33,37,38,40,41,45,50,58,
61,63,74,79,86,89,90,92,99,111,123,156,162,164,167,206],[1,2,4,5,6,8,9,11,12,
20,23,25,26,32,37,40,41,42,45,50,57,61,63,74,82,85,86,91,94,98,111,121,158,
163,164,167,207],[1,2,3,5,6,7,8,12,18,20,21,22,24,25,28,29,32,33,39,45,58,62,
64,65,66,67,76,79,84,93,111,126,145,162,165,166,208],[1,2,3,5,6,7,8,9,12,20,
22,24,25,26,29,32,33,37,43,57,62,64,67,77,82,83,93,111,125,148,163,165,166,
209],[1,2,3,5,6,7,12,13,18,20,21,22,24,31,34,36,39,44,49,51,58,62,64,65,66,71,
95,97,106,107,112,126,159,168,171,172,210],[1,2,3,4,5,6,7,8,9,11,12,18,20,21,
22,23,24,26,27,28,37,39,40,41,42,43,45,50,57,58,59,61,62,63,64,65,66,68,85,89,
94,96,99,100,113,114,115,116,118,119,120,121,123,125,126,157,169,170,173,174,
175,176,178,211],[1,2,3,4,5,6,7,9,10,11,12,14,15,16,17,20,22,24,30,35,38,42,
43,46,48,50,52,53,57,60,62,64,69,87,88,103,105,117,122,124,125,155,177,179,
180,212],[1,2,4,6,10,11,15,19,20,23,35,54,55,56,60,63,108,117,181,213],[1,2,3,
4,7,8,10,11,13,14,15,25,27,29,30,31,34,35,40,41,46,47,67,69,70,71,72,73,75,78,
81,86,96,101,127,132,134,139,143,149,150,182,187,188,214],[1,2,3,4,5,7,8,9,11,
12,13,14,16,25,26,29,30,31,32,33,36,37,38,40,41,42,43,44,50,67,72,73,75,77,82,
83,85,88,90,93,97,101,131,132,134,135,137,147,148,185,187,189,215],[1,2,3,4,5,
7,8,10,11,12,13,14,15,18,25,28,29,30,31,32,33,34,35,36,39,40,44,45,46,47,49,
51,67,69,71,72,73,76,78,79,81,84,91,93,95,97,99,101,102,104,106,107,130,132,
133,137,139,145,146,149,154,159,182,184,185,190,194,216],[1,2,3,4,5,7,8,11,12,
13,14,17,18,25,28,29,30,31,32,33,39,40,41,45,48,49,51,67,72,73,75,76,79,84,87,
91,93,95,99,101,130,132,133,134,138,145,146,184,186,187,217],[1,2,3,4,5,7,8,9,
11,12,13,14,16,18,25,26,27,28,29,30,31,32,33,37,38,39,40,41,42,43,45,49,50,51,
67,68,70,72,73,74,75,76,77,79,80,82,83,84,85,86,88,89,90,91,92,93,94,95,96,98,
99,100,101,127,128,129,130,131,132,133,134,135,136,140,141,142,143,144,145,
146,147,148,150,151,152,156,157,158,183,184,188,189,191,192,195,197,198,218],[
1,2,3,4,5,7,8,9,10,11,12,13,14,15,16,17,25,26,29,30,31,32,33,34,35,37,38,40,
42,43,46,47,48,50,52,53,67,69,71,72,73,77,78,81,82,83,85,87,88,90,93,101,103,
105,131,132,135,138,139,147,148,149,153,155,182,186,189,193,196,219],[1,2,3,4,
7,8,11,13,14,17,25,27,29,30,31,36,40,41,44,48,67,70,72,73,75,86,87,96,97,101,
127,132,134,137,138,143,150,185,186,188,220],[1,2,3,7,8,19,25,27,29,54,67,70,
127,221],[1,2,3,4,6,7,8,10,11,13,14,15,20,22,25,29,30,31,34,35,40,46,47,60,62,
67,69,71,72,73,78,81,101,111,112,117,122,132,139,149,166,172,179,182,222],[1,
2,3,5,6,7,8,9,12,18,20,21,22,24,25,26,27,28,29,32,33,37,39,43,45,57,58,59,62,
64,65,66,67,68,70,74,76,77,79,80,82,83,84,93,100,111,113,114,118,125,126,127,
128,129,140,145,148,151,161,162,163,165,166,170,183,199,203,204,208,209,223],[
1,2,3,5,6,7,8,9,12,18,20,22,25,26,27,28,29,32,33,37,39,43,45,59,61,62,67,68,
70,74,76,77,79,80,82,83,84,93,100,111,113,115,120,127,128,129,140,145,148,151,
161,164,166,169,183,201,202,203,224],[1,2,3,5,6,7,8,9,12,13,18,20,24,25,26,27,
29,31,32,33,37,39,41,43,45,49,51,59,61,64,70,73,74,75,77,80,83,84,92,93,94,95,
100,111,116,118,120,129,133,140,142,143,144,147,161,164,165,173,191,202,204,
205,225],[1,2,3,4,5,6,7,8,9,11,12,14,16,18,20,21,23,25,26,27,28,29,30,32,33,
37,38,39,40,41,42,43,45,50,57,58,59,61,63,68,70,72,74,75,76,79,80,82,83,84,85,
86,88,89,90,91,92,94,96,98,99,100,111,114,119,120,121,123,129,135,141,142,146,
150,151,152,156,157,158,161,162,163,164,167,174,195,199,200,202,206,207,226],[
1,2,3,4,5,6,7,8,11,12,14,18,20,23,24,25,27,28,29,30,32,33,39,40,41,45,59,63,
64,70,72,75,76,77,80,84,86,91,93,96,99,111,115,118,119,128,131,136,140,144,
146,150,161,165,167,176,198,200,201,204,227],[1,2,3,4,6,7,8,11,13,14,20,22,23,
25,27,29,30,31,40,41,59,62,63,67,70,72,73,75,86,96,101,111,113,116,119,127,
132,134,143,150,161,166,167,178,188,200,203,205,228],[1,2,3,5,6,7,8,9,12,13,
20,21,25,26,27,28,29,31,32,33,37,41,43,57,58,59,68,70,73,75,76,77,79,80,82,83,
89,98,111,114,115,116,128,130,136,141,143,147,151,161,162,163,175,192,199,201,
205,229],[1,2,4,6,9,10,11,15,17,19,20,23,35,42,48,54,55,56,57,60,61,63,103,
108,109,110,117,121,160,177,181,213,230],[1,2,3,4,5,7,8,9,10,11,12,13,14,15,
16,17,18,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,127,
128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,
147,148,149,150,151,152,153,154,155,156,157,158,159,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,214,215,216,217,218,219,220,231],[
1,2,3,4,7,8,11,13,14,19,25,27,29,30,31,40,41,54,55,56,67,70,72,73,75,86,96,
101,108,127,132,134,143,150,188,221,232],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,
18,20,21,22,24,25,28,29,30,31,32,33,34,35,36,39,40,44,45,46,47,49,51,58,60,62,
64,65,66,67,69,71,72,73,76,78,79,81,84,91,93,95,97,99,101,102,104,106,107,111,
112,117,122,126,130,132,133,137,139,145,146,149,154,159,162,165,166,168,171,
172,179,182,184,185,190,194,208,210,216,222,233],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,20,22,24,25,26,29,30,31,32,33,34,35,37,38,40,42,43,46,47,48,50,
52,53,57,60,62,64,67,69,71,72,73,77,78,81,82,83,85,87,88,90,93,101,103,105,
111,112,117,122,124,125,131,132,135,138,139,147,148,149,153,155,163,165,166,
172,177,179,180,182,186,189,193,196,209,212,219,222,234],[1,2,3,4,6,7,8,10,11,
13,14,15,20,22,25,27,29,30,31,34,35,40,41,46,47,59,60,62,67,69,70,71,72,73,75,
78,81,86,96,101,111,112,113,117,122,127,132,134,139,143,149,150,161,166,172,
179,182,187,188,203,214,222,235],[1,2,3,4,5,6,7,8,9,11,12,13,14,16,18,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,37,38,39,40,41,42,43,45,49,50,51,57,58,59,
61,62,63,64,65,66,67,68,70,72,73,74,75,76,77,79,80,82,83,84,85,86,88,89,90,91,
92,93,94,95,96,98,99,100,101,111,113,114,115,116,118,119,120,121,123,125,126,
127,128,129,130,131,132,133,134,135,136,140,141,142,143,144,145,146,147,148,
150,151,152,156,157,158,161,162,163,164,165,166,167,169,170,173,174,175,176,
178,183,184,188,189,191,192,195,197,198,199,200,201,202,203,204,205,206,207,
208,209,211,218,223,224,225,226,227,228,229,236],[1,2,3,4,7,8,11,13,14,17,19,
25,27,29,30,31,36,40,41,44,48,54,55,56,67,70,72,73,75,86,87,96,97,101,108,109,
110,127,132,134,137,138,143,150,160,185,186,188,220,221,232,237],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,15,16,17,18,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,57,58,59,60,62,64,65,66,
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,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,111,112,113,114,117,118,
122,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,161,
162,163,165,166,168,170,171,172,177,179,180,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,196,197,198,199,203,204,208,209,210,212,214,215,216,
217,218,219,220,222,223,231,233,234,235,238],[1,2,3,4,6,7,8,10,11,13,14,15,19,
20,22,23,25,27,29,30,31,34,35,40,41,46,47,54,55,56,59,60,62,63,67,69,70,71,72,
73,75,78,81,86,96,101,108,111,112,113,116,117,119,122,127,132,134,139,143,149,
150,161,166,167,172,178,179,181,182,187,188,200,203,205,213,214,221,222,228,
232,235,239],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,2,1],[1,1,1],[1,1,1],[1,3,1],[1,1,2,
1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1],[1,1,
1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,3,1],[1,1,1,2,1],[1,1,4,2,1,
1],[1,1,1,1],[1,1,2,1,2,1],[1,1,2,4,1,2,4,1],[1,1,2,1,2,1],[1,1,1,1],[1,1,4,1,
2,1],[1,1,3,1],[1,1,6,1,3,3,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,4,1,2,4,1],[1,
1,2,4,1,2,4,1],[1,1,4,1,2,1],[1,1,1,1],[1,1,2,2,1,1],[1,1,2,2,1,1,1,1],[1,1,1,
1],[1,1,4,1,2,1],[1,1,6,1,3,3,1],[1,1,4,1,2,1],[1,1,2,1,2,1],[1,1,4,1,2,1],[1,
1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1],[1,5,1,
1],[1,5,1,1],[1,1,1,3,1,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,1,
1,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,1,1,
1],[1,1,6,1,3,1,1,1,1],[1,1,2,1,6,4,3,1],[1,1,4,2,1,2,1,1,1,1],[1,1,2,12,1,4,
6,12,12,3,4,8,1],[1,1,6,3,4,1,3,3,1],[1,1,2,1,6,3,4,1],[1,1,2,8,1,2,4,8,1,2,4,
1],[1,1,2,1,2,4,1,2,1],[1,1,6,3,1,3,1,3,3,1],[1,1,2,1,2,1,2,1],[1,1,2,1,2,1,1,
1,1],[1,1,2,1,2,1,2,1],[1,1,2,8,1,4,2,8,2,1,4,1],[1,1,4,3,2,1,1,1,1],[1,1,4,4,
2,1,2,1,1,1,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,3,2,1,1,1,1],[1,1,2,4,1,2,2,2,1,1,
1,2,2,1],[1,1,2,8,1,2,4,8,1,2,2,2,1],[1,1,4,2,1,3,2,1,1,1,1,2,2,1],[1,1,4,3,2,
1,1,1,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,1,
1,1,1,1,1,1],[1,1,4,6,1,1,2,3,8,1,1,2,1,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,8,1,
4,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,8,1,4,2,8,1,2,2,2,
1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,2,1,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,4,
1,2,2,1,1,1,1],[1,1,4,6,2,1,1,3,8,1,1,2,2,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,
1,4,4,1,2,2,1,1,1,1],[1,1,6,2,1,3,3,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,6,
4,1,3,2,3,4,2,1,1,1,2,2,1],[1,1,4,3,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,10,5,
1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,
1,2,1,1,4,1,1,2,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,
3,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,12,1,1,6,1,4,3,
1,2,1],[1,1,1,1,2,1,1,1,2,1],[1,1,6,1,4,3,1,2,3,1,1,1,1],[1,1,6,4,1,3,3,4,1,1,
1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[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],[1,1,2,12,1,1,6,12,1,2,2,2,3,1,1,1,2,2,1],[1,1,10,5,10,10,10,
15,5,10,1],[1,1,6,3,4,1,3,1,3,3,1,3,3,1],[1,1,6,12,3,4,2,6,24,1,1,3,3,3,6,6,6,
6,1,2,3,3,6,1],[1,1,2,1,2,4,2,1,2,2,1,2,1],[1,1,2,8,1,2,4,8,1,2,4,4,1,2,1],[1,
1,2,8,1,6,4,4,8,4,3,2,2,4,1,1,1,4,1],[1,1,2,16,1,2,8,4,16,1,2,4,4,4,8,8,1,2,4,
1],[1,1,2,1,6,4,3,4,1,2,1],[1,1,2,8,8,1,2,4,4,4,8,16,2,1,2,2,4,4,4,4,4,8,1,2,
4,4,4,1],[1,1,2,1,2,1,1,3,2,1,1,1,1],[1,1,2,1,2,4,1,2,2,2,1,2,1],[1,1,2,8,1,2,
4,8,8,1,2,4,4,1,2,1],[1,1,2,8,1,2,4,8,8,1,2,4,4,4,1,1,1,2,2,1],[1,1,6,8,3,4,4,
8,1,3,3,2,2,2,2,1,1,2,1,2,1],[1,1,2,4,1,2,2,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,
1,2,12,1,2,2,6,8,1,1,3,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,3,4,4,1,3,3,2,2,1,1,1,
1],[1,1,2,8,1,2,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,8,1,6,4,8,4,1,3,1,2,2,2,1,1,2,
1,2,1],[1,1,2,8,8,1,2,4,4,8,8,1,1,2,1,2,2,4,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,4,
1,1,2,2,1,2,2,1,1,1,1],[1,1,2,4,1,6,2,2,4,1,3,2,1,2,2,1,1,2,1,2,1],[1,1,2,16,
1,2,4,8,4,16,12,1,4,2,4,4,8,8,1,1,2,1,2,1],[1,1,6,8,3,4,4,8,1,3,3,2,4,2,1,1,1,
2,2,1],[1,1,6,4,3,4,2,2,1,1,3,1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,10,2,1,1,
2,5,8,8,1,1,1,1,2,2,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,4,4,4,1,2,
1,1,2,2,2,1,1,1,1],[1,1,2,8,8,1,4,4,2,8,8,2,1,1,2,1,4,2,2,1,1,1,2,2,1],[1,1,2,
12,4,1,2,4,6,2,12,12,4,4,3,4,1,1,2,8,2,2,4,4,1,1,1,2,2,1],[1,1,4,10,3,1,2,5,8,
1,1,1,3,2,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,4,4,6,2,1,3,2,3,8,1,1,1,1,2,1,1,2,2,1,
2,1,1,1,1,1,1,1,1],[1,1,4,6,3,3,2,3,1,1,1,3,1,1,2,3,2,1,1,1,1,1,1,1,1],[1,1,2,
8,1,4,6,8,3,4,1,2,1,2,2,1,1,1,2,2,1],[1,1,10,5,10,1,5,1,1,1,1,1,1,1],[1,1,6,4,
3,4,4,1,3,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,4,3,6,4,1,3,3,4,3,
1,1],[1,1,6,4,3,1,3,4,1,3,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,2,
4,1,6,4,8,4,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,
3,3,4,3,1,1],[1,1,4,1,2,1,2,1,4,1,1,1,1,2,2,1,1,1,1,1],[1,1,4,18,1,2,1,3,9,24,
1,2,4,4,1,3,6,6,3,1,1,1,2,2,4,4,3,1,1,1,2,2,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,
1,1],[1,1,2,4,1,6,4,8,3,4,4,1,1,1],[1,1,12,1,1,2,6,1,4,1,3,3,1,2,2,3,1,1,1,
1],[1,1,12,6,1,1,5,6,3,1,2,4,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,6,1,1,3,
3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,12,12,1,1,6,6,1,4,4,1,3,3,1,2,2,3,1,1,1,1],[
1,1,6,4,6,1,3,3,6,4,1,3,3,4,1,3,1,1],[1,1,4,12,1,2,1,6,1,4,4,1,3,3,1,2,2,3,1,
1,1,1],[1,1,2,12,4,1,4,6,12,12,4,8,3,4,8,1,4,1,1,2,1],[1,1,6,12,4,1,3,6,3,12,
6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,15,10,5,6,10,6,5,1],[1,1,2,24,1,6,8,12,12,24,
24,4,3,6,6,8,8,12,16,24,1,2,2,3,3,6,6,12,3,6,6,1],[1,1,10,12,5,10,2,6,24,10,1,
10,1,15,3,3,6,6,6,6,5,1,10,2,3,3,3,3,3,3,3,6,6,1,1,1,3,3,3,3,1],[1,1,2,8,16,1,
6,4,8,4,8,16,4,2,3,2,2,2,4,4,4,4,8,8,1,1,1,2,4,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,
2,8,1,6,4,4,8,4,3,2,2,4,4,4,1,1,1,4,4,1,2,1],[1,1,2,8,1,6,4,4,8,16,4,3,2,2,4,
8,1,1,1,4,4,1,2,1],[1,1,2,8,1,6,4,4,8,4,3,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,10,8,
5,10,4,4,8,10,10,15,2,2,4,4,5,10,1,1,2,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,6,4,4,
4,4,8,16,4,2,3,2,2,4,2,4,4,4,4,4,8,1,1,1,2,4,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,
8,16,1,2,4,8,8,8,16,1,2,4,4,4,2,4,2,4,4,8,8,1,1,1,2,2,4,2,2,4,4,4,4,1,1,1,2,2,
1],[1,1,6,20,3,4,2,10,4,32,1,1,3,3,2,2,5,6,8,2,6,8,8,8,1,1,2,1,1,2,3,4,2,2,2,
4,6,1,1,1,1,1,1,1,1],[1,1,6,4,3,4,2,2,4,1,1,3,2,3,2,4,1,2,2,2,1,1,1,1,4,3,1,1,
1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,8,1,2,4,4,8,4,4,16,12,16,8,2,1,4,2,2,4,4,4,
4,4,4,8,8,4,8,8,8,1,1,2,1,2,4,2,4,4,2,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,8,8,2,1,
2,4,2,4,2,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,8,16,3,4,4,4,8,8,16,24,1,2,3,1,3,
2,1,4,8,4,6,4,2,4,8,6,8,1,1,1,2,1,1,1,1,1,4,3,4,2,4,2,4,2,2,2,2,2,2,6,1,1,1,1,
1,1,1,2,2,2,2,1],[1,1,2,16,1,2,4,8,4,16,12,8,1,4,2,4,4,4,8,8,4,1,1,2,2,1,2,2,
1,1,1,1],[1,1,2,12,1,6,2,6,8,4,1,1,3,3,3,2,2,4,2,2,1,2,1,1,2,2,1,1,2,2,4,2,2,
1,1,1,1,1,1,1,1],[1,1,6,8,8,3,4,4,4,8,8,1,3,1,3,2,5,2,2,4,2,2,1,1,1,3,4,2,1,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,4,3,4,6,6,4,8,1,3,3,3,3,3,3,6,6,4,4,4,3,1,
3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,24,4,3,4,12,24,4,16,1,3,3,6,12,6,4,8,1,3,3,6,
6,1,4,3,1,2,1],[1,1,6,4,3,4,4,1,3,1,3,3,4,1,3,3,1,4,1,1,1],[1,1,6,12,4,3,4,2,
6,24,4,1,1,3,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,10,4,5,10,4,16,10,10,
15,4,8,5,10,1,4,1,1,2,1],[1,1,6,24,4,3,4,12,24,4,16,1,3,3,6,6,6,6,4,8,1,3,6,3,
6,1,4,3,1,2,1],[1,1,6,4,3,4,12,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,12,18,4,3,
1,6,9,24,4,8,8,1,3,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,6,
4,3,7,6,3,4,8,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,24,
4,1,6,12,24,4,8,8,8,4,3,3,3,6,6,6,4,4,4,8,8,1,3,6,3,6,1,4,3,1,1,1,1],[1,1,2,
12,4,1,6,6,6,4,8,8,4,3,3,6,3,6,6,4,4,4,1,3,6,3,6,1,4,3,1,1,1,1],[1,1,2,24,4,1,
12,6,24,4,8,8,8,3,4,3,6,3,6,6,4,4,4,8,8,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,4,12,18,
1,2,1,5,6,9,24,1,2,4,4,4,1,1,1,3,6,3,3,6,6,3,6,1,1,1,2,2,2,2,4,4,1,3,3,3,3,3,
3,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,2,12,12,4,1,6,4,6,6,12,12,12,
12,4,8,8,3,4,3,3,6,8,6,6,12,12,4,1,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,1,30,
10,5,15,15,6,10,20,5,6,6,6,5,10,6,5,1,1],[1,1,10,24,5,10,8,12,12,24,24,10,10,
15,6,6,8,8,12,12,16,24,5,2,10,2,3,3,6,6,6,12,12,12,1,3,3,6,6,6,6,1,3,3,1],[1,
1,2,8,8,1,6,4,4,4,4,8,16,4,2,3,2,2,4,2,4,4,4,4,8,4,4,4,8,1,1,1,4,2,4,2,4,4,4,
4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,24,16,1,6,8,12,8,12,24,24,16,4,2,3,6,6,2,
4,8,8,4,4,12,4,4,16,24,8,8,1,2,2,3,3,2,6,4,6,2,4,4,4,4,4,12,8,8,8,8,1,3,1,2,6,
2,2,6,4,4,1,1,1,2,2,1],[1,1,2,8,16,1,6,4,8,4,8,16,16,4,2,3,2,2,2,4,4,4,8,4,8,
8,8,1,1,1,4,2,4,2,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,10,8,24,5,10,4,4,12,
4,8,16,48,10,2,10,2,15,2,2,6,6,12,4,12,4,4,4,12,12,8,8,8,5,2,10,1,1,4,2,6,6,6,
6,6,6,6,4,4,4,4,4,4,4,12,4,4,4,4,4,12,4,1,2,2,1,1,1,1,1,1,2,6,2,2,2,2,6,2,2,6,
2,6,4,4,4,4,2,1,1,1,2,2,2,2,2,1],[1,1,2,24,8,1,6,4,8,12,4,12,24,24,16,16,4,2,
3,6,6,4,2,8,8,4,4,12,4,4,16,24,8,8,16,16,1,2,2,3,3,2,6,6,4,2,4,4,4,4,4,12,8,8,
1,3,1,2,6,2,2,6,4,4,1,1,1,2,2,1],[1,1,10,8,5,10,4,4,8,16,10,10,15,2,2,4,4,4,4,
8,5,10,1,1,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,10,5,10,16,10,10,15,16,5,
10,1,1],[1,1,2,24,16,1,6,8,12,12,24,24,16,32,4,3,6,6,8,8,12,16,24,8,16,1,2,2,
3,3,6,6,12,4,8,8,16,3,6,6,4,8,8,1,1],[1,1,10,36,4,5,10,6,18,72,4,8,16,16,10,3,
10,3,15,9,9,18,18,18,18,4,4,4,8,8,16,16,5,3,10,6,9,9,9,9,9,9,9,18,18,1,4,4,4,
8,8,1,3,3,9,9,9,9,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,10,12,4,5,10,2,6,24,4,16,10,
1,10,1,15,3,3,6,6,6,6,4,8,8,5,1,10,2,3,3,3,3,3,3,3,6,6,1,4,4,4,1,1,1,3,3,3,3,
1,2,2,4,1,1,1,1,1],[1,1,6,36,4,3,4,2,18,12,48,4,16,1,1,3,3,6,6,9,6,12,6,6,12,
24,24,4,8,8,1,3,2,3,3,6,3,6,6,6,6,12,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,
1],[1,1,6,24,24,4,3,4,8,12,12,24,48,24,4,8,16,1,4,3,3,3,6,3,6,12,12,6,12,6,12,
12,6,24,4,4,4,8,8,3,1,3,2,3,3,3,3,3,6,3,12,6,12,6,12,6,6,6,6,6,6,6,1,4,4,4,8,
8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,24,24,4,3,4,12,12,
24,24,4,16,16,1,3,1,3,6,9,6,6,12,6,6,4,8,8,1,3,3,3,6,6,3,6,6,6,6,6,1,4,4,4,1,
3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,10,24,4,5,10,12,12,24,4,16,16,10,10,15,6,
6,12,12,4,8,8,5,10,3,3,6,12,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,1,6,
12,4,3,4,6,6,12,4,8,1,3,3,4,3,6,6,3,6,6,6,4,4,4,3,1,3,3,6,3,3,3,3,3,6,6,1,4,4,
4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,30,10,10,5,15,15,30,6,10,20,5,15,15,6,
6,6,10,5,10,10,15,6,6,6,5,10,6,5,1,1,1],[1,1,10,24,24,5,10,4,8,12,12,12,24,24,
16,16,48,10,2,10,2,15,6,6,6,6,8,8,4,12,4,12,12,12,4,12,4,12,16,24,8,8,8,8,16,
16,5,2,2,10,2,3,3,4,6,6,6,6,6,6,6,6,6,6,4,12,4,4,4,4,4,4,12,4,4,12,4,4,4,12,
12,8,8,8,8,8,8,1,2,2,1,1,3,1,3,1,2,2,2,6,6,2,2,6,2,6,2,2,6,6,6,6,4,4,4,4,4,4,
4,4,1,2,1,1,1,3,3,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,40,5,10,20,20,
40,16,10,10,15,10,10,20,20,16,16,16,5,10,5,5,10,20,20,20,16,1,5,5,10,10,5,1,
1],[1,1,2,24,48,16,1,6,8,12,24,12,24,24,48,16,32,32,32,4,6,3,6,6,6,12,8,8,12,
12,12,12,12,16,24,24,24,16,8,16,16,32,32,1,2,2,3,3,6,6,12,6,6,12,12,12,12,12,
12,24,24,24,24,4,8,8,16,16,3,3,3,6,6,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,6,4,8,
3,1,1],[1,1,2,24,24,16,1,6,12,8,12,12,12,24,24,48,48,16,32,32,4,6,3,6,6,12,6,
8,8,12,12,12,12,12,16,24,24,24,48,48,16,8,16,16,1,2,2,3,3,6,6,6,12,6,12,12,12,
12,12,12,24,24,4,8,8,16,16,16,3,3,3,6,6,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,6,4,
8,3,1,1],[1,1,10,24,16,5,10,8,12,12,24,24,16,64,10,10,15,6,6,8,8,12,12,16,24,
16,8,32,5,2,10,2,3,3,6,6,6,12,12,12,4,8,16,8,16,1,3,3,6,6,6,6,4,8,8,8,1,3,3,4,
1,1,1],[1,1,10,24,48,4,5,10,8,12,24,12,24,48,96,4,8,16,16,16,10,4,10,4,15,6,6,
12,12,24,12,24,12,12,12,24,24,24,24,24,4,4,4,8,8,8,8,16,16,5,4,10,3,3,8,6,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,24,12,1,4,4,4,4,4,4,
4,8,8,8,8,1,4,4,3,3,3,3,3,3,6,12,6,6,6,6,12,6,6,12,6,12,12,12,12,12,1,1,1,2,2,
2,2,4,4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,
1],[1,1,10,40,5,10,20,20,40,80,16,10,10,15,10,10,20,20,20,20,40,16,16,16,5,10,
5,5,10,20,20,20,20,20,16,16,16,1,5,5,10,10,10,10,16,5,5,5,5,1,1,1],[1,1,10,24,
72,16,5,10,12,8,12,36,12,24,24,48,48,144,16,32,64,64,10,6,10,6,15,6,6,18,18,8,
8,12,36,12,36,12,12,12,36,12,36,16,24,24,24,24,24,48,48,16,16,16,8,32,32,64,
64,5,6,2,10,2,3,3,12,6,18,18,6,18,18,6,18,18,18,12,12,12,12,12,12,12,12,36,12,
12,12,12,12,12,36,12,24,24,24,24,24,24,4,8,16,16,8,16,16,16,32,32,1,6,6,3,3,3,
3,3,3,6,6,6,6,18,6,6,6,6,18,6,6,18,6,6,18,12,12,12,12,12,12,12,12,4,4,4,8,8,8,
16,8,8,8,8,8,1,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,10,120,40,5,10,40,60,60,120,120,96,40,160,160,10,10,15,30,
30,40,40,60,60,80,120,96,96,96,40,40,80,80,5,10,10,10,15,15,30,30,30,60,60,60,
96,10,40,40,40,40,40,80,1,15,15,30,30,30,30,10,20,20,40,40,40,16,5,15,15,10,
10,10,16,5,6,5,10,6,5,1],[1,1,10,120,120,40,5,10,20,40,60,60,60,120,120,240,
240,240,96,40,80,160,160,160,10,10,10,10,15,30,30,30,30,40,40,60,60,60,60,60,
60,60,60,60,60,80,120,120,120,120,120,240,240,96,96,96,40,40,40,40,80,80,80,
80,160,160,5,10,10,10,10,15,15,20,30,30,30,30,30,30,30,30,30,30,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,96,96,96,10,40,
40,40,40,40,40,40,40,40,80,80,80,80,80,80,1,10,10,15,15,15,15,15,15,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,96,10,10,10,20,
20,20,20,40,40,40,40,40,40,40,40,40,40,40,40,40,16,5,10,15,15,15,15,15,15,30,
30,30,30,30,30,30,30,30,10,10,10,10,10,10,10,20,20,20,20,40,40,40,16,5,15,15,
15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,1]],
[1,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,10,10,10,12,12,12,12,12,12,12,12,12,12,16,16,16,
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,
16,16,16,16,16,16,16,16,16,16,16,16,20,20,20,24,24,24,24,24,24,24,24,24,24,24,
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,
32,32,32,32,32,32,32,32,32,32,32,32,40,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,120,128,128,128,128,128,128,128,160,
192,192,192,192,192,192,192,192,240,256,320,384,384,384,384,640,768,1920,
3840],
[240,240,233,155,152,211,238,236,226,212,193,195,190,149,155,105,105,95,160,
211,170,126,121,126,236,236,236,236,231,219,216,218,218,210,212,190,195,193,
191,195,195,193,195,190,195,179,154,155,159,135,154,105,105,160,160,160,211,
211,211,212,174,170,174,170,126,126,238,236,234,236,233,231,231,226,218,218,
218,216,218,218,219,218,218,218,195,195,193,193,195,195,195,195,183,195,190,
195,190,195,195,195,182,154,155,154,155,159,159,160,160,160,236,210,211,211,
211,211,212,211,211,211,174,179,174,180,170,170,240,236,236,231,231,231,231,
231,231,218,216,219,216,218,218,218,218,218,218,218,218,218,219,218,218,195,
193,190,193,195,195,195,190,160,236,236,236,226,223,223,226,210,211,211,210,
210,211,211,211,211,212,211,212,212,230,238,236,231,231,231,231,231,231,216,
218,218,219,216,218,219,218,218,236,236,236,236,236,236,236,226,226,223,223,
210,211,212,230,238,231,231,231,231,231,231,237,238,236,236,236,236,236,236,
236,230,231,237,238,238,238,236,237,238,240,240],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,6,6,2,2,2,1,1,1,1,1,2,3,1,1,1,1,
1,2,1,1,2,1,2,1,3,1,3,2,3,4,4,1,19,19,6,6,1,10,1,1,6,6,6,6,2,8,1,2,3,2,1,2,2,
1,2,3,8,8,2,8,2,2,2,8,2,2,2,2,8,8,8,8,3,8,1,1,8,2,3,13,4,13,4,13,13,19,19,19,
25,34,2,6,1,6,10,20,20,2,6,10,20,60,20,6,2,2,2,2,7,7,7,7,2,8,3,7,7,8,2,8,8,7,
8,8,8,8,7,8,8,8,11,13,11,8,8,8,13,19,25,111,111,25,111,25,111,112,8,20,112,34,
59,20,20,59,60,59,10,60,181,7,8,29,29,29,29,29,29,31,29,8,30,31,8,30,29,29,
111,111,25,25,25,111,111,111,111,111,111,112,59,117,181,67,72,73,73,29,72,67,
127,182,111,70,161,111,161,161,111,181,132,221,222,222,182,161,221,222,239,
239],
[(  1, 54)(  2,  8)(  4, 44)(  6, 48)(  7, 53)(  9, 20)( 10, 14)( 11, 78)
( 12, 55)( 13, 84)( 15, 71)( 16, 72)( 17, 76)( 18, 92)( 19, 57)( 21, 94)
( 22, 77)( 23, 74)( 24, 50)( 25, 31)( 26, 32)( 27, 63)( 28, 64)( 29, 86)
( 30, 52)( 33, 37)( 35, 41)( 36, 46)( 38, 81)( 39, 88)( 40, 69)( 42, 58)
( 45, 47)( 49, 56)( 51, 95)( 59, 79)( 60, 99)( 61, 91)( 67, 83)( 68, 73)
( 75,100)( 82, 98)( 93, 97),(  1,  4, 35, 48)(  2, 10, 57, 22)(  3, 60, 98,  6
 )(  5, 55, 93, 85)(  7, 11, 43,  9)(  8, 86, 13, 18)( 12, 74, 75, 82)
( 14, 72, 15, 89)( 16, 39, 44, 30)( 17, 88, 92, 19)( 20, 27, 33, 70)
( 21, 23, 97, 58)( 24, 80, 96, 46)( 25, 63, 34, 78)( 26, 64, 77, 45)
( 28, 51, 29, 90)( 31, 65, 73, 66)( 32, 94, 49, 50)( 36, 56, 81, 95)
( 37, 68, 53, 87)( 38, 67, 54, 61)( 40, 76, 71, 62)( 41, 69, 52, 59)
( 42, 99, 79, 83)( 47, 84, 91,100)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1,2,-1],[1,1,2,1],[2,1,1,
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1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[2,1,1,1,2,-1,1,1,2,
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1],[3,1,2,-1,1,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,-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],[5,1,4,-1,3,-2,5,-1,4,1,3,
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1],[3,2,2,1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,-2],[2,1,1,1,3,-1,2,-1,3,-1],[4,
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1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,4,-1,3,-1,4,1]]],[[[2,-2],[
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1],[2,1,1,1],[4,1,2,1,4,-1,3,1,2,1,1,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,-2,3,
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1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[2,1,1,1],[
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2,1,4,-1,3,1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[
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1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[3,2,2,1,
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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],[3,2],[5,1,
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1],[3,1,4,2,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,3,-1,4,1]]],[[[2,-2],[3,
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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,
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1,3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1,2,
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1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,
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2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,-2,3,1,4,-1]]],[[[1,1,2,1],[3,2],[4,1,1,
1,2,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,
1,1,1],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,
1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,-2,3,1,4,
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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],[4,1,2,1,4,-1,3,
1,1,1,2,-1,3,2,4,1]]],[[[2,1,1,1],[2,-2,3,-2,2,-1,1,1]],[[1,1,2,1],[2,1,1,1],[
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1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,
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1,3,-1,4,1,2,-1,4,-1]],[[2,1,1,1],[2,-2],[3,1,4,1,1,1,2,-2,1,1,4,1,3,-1]]],[[[
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2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,2,1,4,-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],[1,1,2,-1,3,1,2,
1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1,2,-2,3,1,2,1,1,1,3,-1,2,-1,3,-1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[
2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,-1],[2,1,1,1,2,-2,1,1,2,1],[3,1,
4,-1,3,1,4,-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,
1,3,1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,
1,3,-1,2,-1,3,-1]],[[1,1,2,-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],[4,1,2,1,4,-1,3,1,1,1,2,-1,3,2,4,1]]],[[[1,1,2,-2,1,1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-2,3,1]]],[[[1,1,2,1],[3,2,2,1,3,1]],[[1,1,
2,1],[2,1,1,1,3,-1,2,-2,3,2,2,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[4,
2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,4,2]],[[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,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,
1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,2,4,1]]],[[[1,1,2,-2,1,
1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,4,-1,3,-2,5,-1,4,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
1,1,1,2,-1,3,1]],[[1,1,2,1],[2,-2,3,1,2,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,
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1],[3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,3,-2]]],[[[2,1,1,
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1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,
-1]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[1,1,2,-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]],[[2,1,1,1],[1,1,2,-1,1,1,
2,1,3,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,1,3,-1]]],[[[2,1,1,1],[
2,-2,3,-2,2,-1,1,1]],[[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]]],[[[2,-2,1,1,2,-2,1,1]],[[1,1,2,1],[2,1,3,1,2,
1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,
1,2,1,3,1]],[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,3,
1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,2,2,1]]],[[[1,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,1,3,-1,4,1]]],[[[2,-2,1,1,2,-2,1,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,
1,2,1,3,2]]],[[[2,-2,1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,
1,4,-1]]],[[[2,-2,1,1,2,-2,1,1]],[[1,1,2,1],[1,1,2,-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]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,
4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,
-2,1,1,3,-1,2,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,-2,1,1,3,-1,2,
1,3,1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,-2,3,1,2,1,1,1,3,
-1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]],[[2,1,1,1],[3,2,2,-1,1,1,2,
-2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,2,2,1,3,1]],[[2,-2],[
3,1,1,1,2,-2,1,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]]],[[[2,-1,1,1,2,
-2]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[2,-2],[3,1,1,1,2,-2,1,1,
3,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,1,1]],[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,
1]]],[[[1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1]]],[[[1,1]],[[2,-2],[3,1,1,1,2,
-2,1,1,3,1]],[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]]],[[[1,1]],[[1,1,2,1],[2,-2,
3,2,2,1]]],[[[1,1]],[[2,-2],[3,1,1,1,2,-2,1,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,
2,-2,3,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,1,2,1,3,2]]],[[[1,1]],[[1,1,2,1],[
1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,3,1,2,1]]],[[[1,1,2,1],[
2,-2,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,3,1]]],[[[2,1,1,1]],[[2,1,1,
1],[2,-2,1,1,2,1],[4,1,3,2,4,1]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,-2,1,1,
3,-1,2,1,3,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1]],[[1,1,2,-2,1,
1,2,-2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[1,1]],[[2,1,1,1,2,-1,1,1,
2,1]]],[[[1,1]],[[1,1,2,1],[2,1,3,1],[4,2,3,1]],[[2,1,1,1],[3,1,2,-1,1,1],[4,
1,3,1,4,1,3,1]]],[[[1,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1]],[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,1,4,1,3,-1,4,1]]],[[[1,1,2,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,
1]]],[[[2,-2,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,-2,3,1]]],[[[2,-2,1,1,2,
1]],[[1,1,2,-1,1,1,2,-2,1,1,2,-1]]],[[[1,1]],[[1,1,2,1],[2,-2,3,2,2,1]],[[1,1,
2,1],[3,2],[4,1,1,1,2,-1,4,1]]],[[[1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2]]],[[[2,1,1,1,2,
-1,1,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[3,2,2,1,3,1]]],[[[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]],[[1,1,2,1],[2,1,
3,1],[4,1,3,1,4,1]]],[[[1,1,2,-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]],[[2,-2]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "2^(2+4):(S3xS3)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,2,10],[1,4,11],[1,2,
12],[1,2,3,13],[1,2,14],[1,4,15],[1,2,4,16],[1,2,17],[1,2,6,18],[1,2,5,19],[1,
4,20],[1,4,6,21],[1,3,5,6,22],[1,5,7,23],[1,5,7,24],[1,2,7,25],[1,3,9,26],[1,
6,7,27],[1,4,8,28],[1,3,7,29],[1,5,9,30],[1,6,8,31],[1,6,9,32],[1,2,4,10,16,
33],[1,2,10,14,34],[1,2,3,10,12,13,35],[1,2,14,36],[1,2,5,10,19,37],[1,2,6,14,
18,38],[1,2,14,39],[1,2,12,14,40],[1,2,14,41],[1,2,14,17,42],[1,2,3,13,14,
43],[1,2,4,11,15,16,44],[1,2,4,16,17,45],[1,2,6,14,17,18,46],[1,2,4,14,16,
47],[1,2,14,48],[1,2,3,12,13,14,49],[1,2,5,14,19,50],[1,2,4,6,16,18,21,51],[1,
2,6,10,17,18,52],[1,2,5,14,19,53],[1,2,14,54],[1,2,4,6,16,17,18,55],[1,2,3,5,
13,17,19,56],[1,2,5,6,12,18,19,57],[1,2,5,12,17,19,58],[1,2,4,16,20,59],[1,2,
3,5,6,13,18,19,22,60],[1,4,6,15,20,21,61],[1,4,6,11,20,21,62],[1,7,8,9,63],[1,
2,8,10,64],[1,4,7,11,65],[1,2,9,10,66],[1,2,7,10,25,67],[1,4,8,11,68],[1,4,8,
11,28,69],[1,4,9,11,70],[1,2,5,7,19,23,24,25,71],[1,2,3,7,13,25,29,72],[1,2,5,
7,19,24,25,73],[1,2,7,12,25,74],[1,2,6,7,18,25,27,75],[1,2,7,17,25,76],[1,4,8,
20,28,77],[1,4,6,8,21,28,31,78],[1,3,5,6,7,22,24,27,29,79],[1,3,5,6,7,22,23,
27,29,80],[1,4,9,15,81],[1,3,5,6,9,22,26,30,32,82],[1,2,4,10,11,15,16,33,44,
83],[1,2,10,14,34,84],[1,2,10,14,34,36,85],[1,2,4,10,14,16,33,34,47,86],[1,2,
3,12,13,14,36,43,49,87],[1,2,3,12,13,14,36,40,49,88],[1,2,6,12,14,18,38,40,41,
89],[1,2,3,13,14,17,41,42,43,90],[1,2,6,10,14,17,18,34,38,42,46,52,91],[1,2,
12,14,17,39,40,42,92],[1,2,10,14,34,39,41,93],[1,2,10,14,34,54,94],[1,2,10,14,
34,48,95],[1,2,3,6,13,14,18,38,39,43,96],[1,2,3,10,12,13,14,34,35,40,43,49,
97],[1,2,4,10,14,16,33,34,98],[1,2,5,10,14,19,34,37,50,53,99],[1,2,6,14,17,18,
41,46,48,100],[1,2,5,14,17,19,42,48,50,101],[1,2,3,5,13,14,19,43,53,54,102],[
1,2,4,6,14,16,17,18,21,38,46,47,51,55,103],[1,2,4,5,14,16,19,39,47,50,104],[1,
2,4,5,14,16,19,41,47,50,105],[1,2,5,14,19,36,41,53,106],[1,2,5,6,12,14,17,18,
19,40,46,50,57,58,107],[1,2,3,12,13,14,39,49,54,108],[1,2,4,10,16,20,33,59,
109],[1,2,5,12,14,19,40,53,54,110],[1,2,3,12,13,14,41,49,54,111],[1,2,3,5,12,
13,14,17,19,42,49,53,56,58,112],[1,2,14,17,36,42,54,113],[1,2,3,5,6,13,14,17,
18,19,22,43,46,50,56,60,114],[1,2,6,14,18,36,38,54,115],[1,2,4,6,10,16,17,18,
21,33,45,51,52,55,116],[1,2,5,6,14,18,19,38,48,50,117],[1,2,3,5,6,12,13,14,18,
19,22,38,49,53,57,60,118],[1,2,5,14,19,36,39,53,119],[1,2,4,6,14,16,17,18,42,
45,46,47,55,120],[1,2,3,4,13,14,16,43,47,48,121],[1,2,4,12,14,16,40,47,48,
122],[1,2,6,14,17,18,39,46,48,123],[1,2,3,5,6,10,12,13,17,18,19,22,35,37,52,
56,57,58,60,124],[1,2,4,6,11,15,16,18,20,21,44,51,59,61,62,125],[1,2,4,11,15,
16,17,20,44,45,59,126],[1,6,7,8,9,27,31,32,63,127],[1,3,7,8,9,26,29,63,128],[
1,5,7,8,9,23,30,63,129],[1,2,7,14,25,36,130],[1,2,3,9,10,12,13,26,35,66,131],[
1,2,5,7,10,19,23,24,25,37,67,71,73,132],[1,2,4,7,11,15,16,25,44,65,133],[1,2,
4,8,10,16,28,33,64,134],[1,2,5,9,10,19,30,37,66,135],[1,2,3,5,7,13,17,19,24,
25,29,56,72,73,76,136],[1,2,3,7,10,12,13,25,29,35,67,72,74,137],[1,4,6,7,11,
20,21,27,62,65,138],[1,2,6,8,10,17,18,31,52,64,139],[1,2,6,7,10,17,18,25,27,
52,67,75,76,140],[1,2,5,6,7,12,18,19,24,25,27,57,73,74,75,141],[1,2,3,5,6,7,
13,18,19,22,23,24,25,27,29,60,71,72,75,79,80,142],[1,2,6,9,10,17,18,32,52,66,
143],[1,2,5,7,12,17,19,23,24,25,58,71,74,76,144],[1,4,6,9,11,20,21,32,62,70,
145],[1,4,6,8,11,20,21,28,31,62,69,77,78,146],[1,4,6,9,15,20,21,32,61,81,
147],[1,4,6,8,11,20,21,31,62,68,148],[1,2,5,10,14,19,34,37,50,53,84,99,149],[
1,2,3,10,12,13,14,34,35,36,40,43,49,85,87,88,97,150],[1,2,4,10,11,14,15,16,33,
34,44,47,83,86,98,151],[1,2,10,14,34,39,41,84,93,152],[1,2,4,10,14,16,33,34,
36,47,84,85,86,98,153],[1,2,4,10,14,16,33,34,47,54,86,94,154],[1,2,4,6,10,14,
16,17,18,21,33,34,38,42,45,46,47,51,52,55,86,91,103,116,120,155],[1,2,10,14,
34,36,48,85,95,156],[1,2,6,10,14,17,18,34,38,42,46,52,54,84,91,94,157],[1,2,3,
6,10,12,13,14,17,18,34,35,38,39,40,41,42,43,46,49,52,89,90,91,92,93,96,97,
158],[1,2,6,10,14,17,18,34,36,38,42,46,52,54,85,91,94,113,115,159],[1,2,6,10,
14,17,18,34,38,39,41,42,46,48,52,91,93,95,100,123,160],[1,2,5,6,10,14,17,18,
19,34,37,38,42,46,48,50,52,53,91,95,99,101,117,161],[1,2,3,5,10,12,13,14,19,
34,35,37,40,43,49,50,53,54,94,97,99,102,110,162],[1,2,3,10,12,13,14,34,35,40,
43,48,49,84,95,97,163],[1,2,4,5,10,14,16,19,33,34,37,39,41,47,50,53,86,93,99,
104,105,164],[1,2,3,4,10,12,13,14,16,33,34,35,40,43,47,48,49,86,95,97,121,122,
165],[1,2,5,10,14,19,34,37,48,50,53,54,94,95,99,166],[1,2,3,10,12,13,14,34,35,
39,40,41,43,49,54,93,94,97,108,111,167],[1,2,10,14,34,39,41,48,54,93,94,95,
168],[1,2,4,10,14,16,20,33,34,47,59,86,109,169],[1,2,3,5,6,10,12,13,14,17,18,
19,22,34,35,37,38,40,42,43,46,49,50,52,53,56,57,58,60,91,97,99,107,112,114,
118,124,170],[1,2,5,10,14,19,34,36,37,39,41,50,53,85,93,99,106,119,171],[1,2,
4,5,6,12,14,16,17,18,19,21,38,40,41,46,47,48,50,51,55,57,58,89,100,103,105,
107,117,122,172],[1,2,4,6,10,14,16,17,18,20,21,33,34,45,51,52,55,59,98,109,
116,173],[1,2,3,4,5,6,13,14,16,17,18,19,21,22,38,39,43,46,47,48,50,51,55,56,
60,96,103,104,114,117,121,123,174],[1,2,3,5,12,13,14,17,19,36,39,40,42,49,53,
54,56,58,88,92,108,110,112,113,119,175],[1,2,3,5,6,12,13,14,18,19,22,36,38,39,
43,49,53,54,57,60,87,96,102,108,115,118,119,176],[1,2,4,6,10,11,15,16,17,18,
20,21,33,44,45,51,52,55,59,61,62,83,109,116,125,126,177],[1,2,3,5,12,13,14,17,
19,36,41,42,43,49,53,54,56,58,87,90,102,106,111,112,113,178],[1,2,4,5,6,12,14,
16,17,18,19,39,40,42,45,46,47,48,50,55,57,58,92,101,104,107,120,122,123,179],[
1,2,3,4,5,6,13,14,16,17,18,19,22,41,42,43,45,46,47,48,50,55,56,60,90,100,101,
105,114,120,121,180],[1,2,3,5,6,12,13,14,18,19,22,36,38,40,41,49,53,54,57,60,
88,89,106,110,111,115,118,181],[1,2,7,8,9,10,25,63,64,66,67,182],[1,4,7,8,9,
11,28,63,65,68,69,70,183],[1,3,5,6,7,8,9,22,23,26,27,29,30,31,32,63,80,82,127,
128,129,184],[1,2,4,8,10,11,15,16,33,44,64,68,83,185],[1,2,4,8,10,11,15,16,28,
33,44,64,69,83,134,186],[1,2,4,7,10,11,15,16,25,33,44,65,67,83,133,187],[1,2,
4,9,10,11,15,16,33,44,66,70,81,83,188],[1,2,3,7,12,13,14,25,36,43,49,74,87,
130,189],[1,2,7,14,17,25,36,42,54,76,113,130,190],[1,2,5,7,14,19,23,24,25,36,
41,53,71,106,130,191],[1,2,3,7,12,13,14,25,29,36,40,49,72,88,130,192],[1,2,9,
10,14,34,66,84,193],[1,2,5,7,14,19,24,25,36,39,53,73,119,130,194],[1,2,7,10,
14,25,34,36,67,85,130,195],[1,2,6,7,14,18,25,27,36,38,54,75,115,130,196],[1,2,
4,6,8,10,16,17,18,21,28,31,33,45,51,52,55,64,78,116,134,139,197],[1,2,4,6,7,
11,15,16,18,20,21,25,27,44,51,59,61,62,65,75,125,133,138,198],[1,2,4,7,11,15,
16,17,20,25,44,45,59,65,76,126,133,199],[1,2,4,8,10,16,20,28,33,59,64,77,109,
134,200],[1,2,3,5,6,9,10,12,13,17,18,19,22,26,30,32,35,37,52,56,57,58,60,66,
82,124,131,135,143,201],[1,2,3,5,6,7,10,12,13,17,18,19,22,23,24,25,27,29,35,
37,52,56,57,58,60,67,71,72,73,74,75,76,79,80,124,132,136,137,140,141,142,144,
202],[1,2,4,10,11,14,15,16,33,34,36,44,47,83,84,85,86,98,151,153,203],[1,2,4,
10,14,16,20,33,34,36,47,59,84,85,86,98,109,153,169,204],[1,2,3,4,10,12,13,14,
16,33,34,35,36,40,43,47,48,49,84,85,86,87,88,95,97,98,121,122,150,153,156,163,
165,205],[1,2,4,10,14,16,33,34,36,39,41,47,84,85,86,93,98,152,153,206],[1,2,4,
10,14,16,33,34,36,47,48,84,85,86,95,98,153,156,207],[1,2,4,6,10,14,16,17,18,
21,33,34,36,38,42,45,46,47,51,52,54,55,84,85,86,91,94,98,103,113,115,116,120,
153,154,155,157,159,208],[1,2,4,5,10,14,16,19,33,34,36,37,39,41,47,50,53,84,
85,86,93,98,99,104,105,106,119,149,152,153,164,171,209],[1,2,3,5,6,10,12,13,
14,17,18,19,22,34,35,37,38,40,42,43,46,48,49,50,52,53,54,56,57,58,60,84,91,94,
95,97,99,101,102,107,110,112,114,117,118,124,149,157,161,162,163,166,170,
210],[1,2,4,6,10,11,14,15,16,17,18,20,21,33,34,38,42,44,45,46,47,51,52,55,59,
61,62,83,86,91,98,103,109,116,120,125,126,151,155,169,173,177,211],[1,2,3,5,6,
10,12,13,14,17,18,19,22,34,35,36,37,38,39,40,41,42,43,46,49,50,52,53,54,56,57,
58,60,85,87,88,89,90,91,92,93,94,96,97,99,102,106,107,108,110,111,112,113,114,
115,118,119,124,150,158,159,162,167,170,171,175,176,178,181,212],[1,2,3,6,10,
12,13,14,17,18,34,35,38,39,40,41,42,43,46,48,49,52,54,84,89,90,91,92,93,94,95,
96,97,100,108,111,123,152,157,158,160,163,167,168,213],[1,2,4,10,11,14,15,16,
20,33,34,44,47,54,59,83,86,94,98,109,151,154,169,214],[1,2,3,4,5,6,10,12,13,
14,16,17,18,19,21,22,33,34,35,37,38,39,40,41,42,43,45,46,47,48,49,50,51,52,53,
55,56,57,58,60,86,89,90,91,92,93,95,96,97,99,100,101,103,104,105,107,112,114,
116,117,118,120,121,122,123,124,155,158,160,161,164,165,170,172,174,179,180,
215],[1,2,3,4,5,10,12,13,14,16,19,33,34,35,37,39,40,41,43,47,48,49,50,53,54,
86,93,94,95,97,99,102,104,105,108,110,111,121,122,154,162,164,165,166,167,168,
216],[1,2,5,6,10,14,17,18,19,34,36,37,38,39,41,42,46,48,50,52,53,54,85,91,93,
94,95,99,100,101,106,113,115,117,119,123,156,159,160,161,166,168,171,217],[1,
2,3,7,8,9,10,12,13,25,26,29,35,63,64,66,67,72,74,128,131,137,182,218],[1,2,6,
7,8,9,10,17,18,25,27,31,32,52,63,64,66,67,75,76,127,139,140,143,182,219],[1,2,
5,7,8,9,10,19,23,24,25,30,37,63,64,66,67,71,73,129,132,135,182,220],[1,4,6,7,
8,9,11,20,21,27,28,31,32,62,63,65,68,69,70,77,78,127,138,145,146,148,183,
221],[1,2,4,8,10,11,14,15,16,28,33,34,44,47,64,68,83,86,98,134,151,185,222],[
1,2,5,7,10,14,19,23,24,25,34,36,37,39,41,50,53,67,71,73,85,93,99,106,119,130,
132,171,191,194,195,223],[1,2,3,7,10,12,13,14,25,29,34,35,36,40,43,49,67,72,
74,85,87,88,97,130,137,150,189,192,195,224],[1,2,3,5,6,7,12,13,14,18,19,22,23,
24,25,27,29,36,38,40,41,49,53,54,57,60,71,72,75,79,80,88,89,106,110,111,115,
118,130,142,181,191,192,196,225],[1,2,3,5,7,12,13,14,17,19,24,25,29,36,39,40,
42,49,53,54,56,58,72,73,76,88,92,108,110,112,113,119,130,136,175,190,192,194,
226],[1,2,6,7,10,14,17,18,25,27,34,36,38,42,46,52,54,67,75,76,85,91,94,113,
115,130,140,159,190,195,196,227],[1,2,3,5,6,7,12,13,14,18,19,22,24,25,27,36,
38,39,43,49,53,54,57,60,73,74,75,87,96,102,108,115,118,119,130,141,176,189,
194,196,228],[1,2,3,5,7,12,13,14,17,19,23,24,25,36,41,42,43,49,53,54,56,58,71,
74,76,87,90,102,106,111,112,113,130,144,178,189,190,191,229],[1,2,5,9,10,14,
19,30,34,37,50,53,66,84,99,135,149,193,230],[1,2,6,9,10,14,17,18,32,34,38,42,
46,52,54,66,84,91,94,143,157,193,231],[1,2,3,9,10,12,13,14,26,34,35,40,43,48,
49,66,84,95,97,131,163,193,232],[1,2,4,6,8,10,11,15,16,17,18,20,21,31,33,44,
45,51,52,55,59,61,62,64,68,83,109,116,125,126,139,148,177,185,233],[1,2,4,6,8,
10,11,15,16,17,18,20,21,28,31,33,44,45,51,52,55,59,61,62,64,69,77,78,83,109,
116,125,126,134,139,146,177,186,197,200,234],[1,2,4,6,9,10,11,15,16,17,18,20,
21,32,33,44,45,51,52,55,59,61,62,66,70,81,83,109,116,125,126,143,145,147,177,
188,235],[1,2,4,6,7,10,11,15,16,17,18,20,21,25,27,33,44,45,51,52,55,59,61,62,
65,67,75,76,83,109,116,125,126,133,138,140,177,187,198,199,236],[1,2,4,5,10,
11,14,15,16,19,33,34,36,37,39,41,44,47,50,53,83,84,85,86,93,98,99,104,105,106,
119,149,151,152,153,164,171,203,206,209,237],[1,2,3,4,10,11,12,13,14,15,16,33,
34,35,36,40,43,44,47,48,49,83,84,85,86,87,88,95,97,98,121,122,150,151,153,156,
163,165,203,205,207,238],[1,2,4,6,10,11,14,15,16,17,18,20,21,33,34,36,38,42,
44,45,46,47,51,52,54,55,59,61,62,83,84,85,86,91,94,98,103,109,113,115,116,120,
125,126,151,153,154,155,157,159,169,173,177,203,204,208,211,214,239],[1,2,3,4,
5,6,10,12,13,14,16,17,18,19,21,22,33,34,35,36,37,38,39,40,41,42,43,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,60,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,149,150,152,153,154,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,170,171,172,174,175,176,178,179,180,181,205,208,209,
210,212,213,215,216,217,240],[1,2,4,5,10,14,16,19,20,33,34,36,37,39,41,47,48,
50,53,59,84,85,86,93,95,98,99,104,105,106,109,119,149,152,153,156,164,169,171,
204,207,209,241],[1,2,4,6,10,14,16,17,18,21,33,34,36,38,39,41,42,45,46,47,48,
51,52,54,55,84,85,86,91,93,94,95,98,103,113,115,116,120,152,153,154,155,156,
157,159,206,207,208,242],[1,2,3,4,10,12,13,14,16,20,33,34,35,36,39,40,41,43,
47,48,49,59,84,85,86,87,88,93,95,97,98,109,121,122,150,152,153,156,163,165,
169,204,205,206,243],[1,2,4,7,8,9,10,11,15,16,25,28,33,44,63,64,65,66,67,68,
69,70,81,83,133,134,182,183,185,186,187,188,244],[1,2,3,5,6,7,8,9,10,12,13,17,
18,19,22,23,24,25,26,27,29,30,31,32,35,37,52,56,57,58,60,63,64,66,67,71,72,73,
74,75,76,79,80,82,124,127,128,129,131,132,135,136,137,139,140,141,142,143,144,
182,184,201,202,218,219,220,245],[1,2,4,7,10,11,14,15,16,25,33,34,36,44,47,65,
67,83,84,85,86,98,130,133,151,153,187,195,203,246],[1,2,4,9,10,11,14,15,16,33,
34,36,44,47,66,70,81,83,84,85,86,98,151,153,188,193,203,247],[1,2,4,8,10,11,
14,15,16,28,33,34,36,44,47,64,68,69,83,84,85,86,98,134,151,153,185,186,203,
222,248],[1,2,4,8,10,11,14,15,16,20,28,33,34,44,47,54,59,64,68,77,83,86,94,98,
109,134,151,154,169,185,200,214,222,249],[1,2,4,6,8,10,11,14,15,16,17,18,20,
21,28,31,33,34,38,42,44,45,46,47,51,52,55,59,61,62,64,68,78,83,86,91,98,103,
109,116,120,125,126,134,139,148,151,155,169,173,177,185,197,211,222,233,250],[
1,2,3,5,6,7,10,12,13,14,17,18,19,22,23,24,25,27,29,34,35,36,37,38,39,40,41,42,
43,46,49,50,52,53,54,56,57,58,60,67,71,72,73,74,75,76,79,80,85,87,88,89,90,91,
92,93,94,96,97,99,102,106,107,108,110,111,112,113,114,115,118,119,124,130,132,
136,137,140,141,142,144,150,158,159,162,167,170,171,175,176,178,181,189,190,
191,192,194,195,196,202,212,223,224,225,226,227,228,229,251],[1,2,3,5,6,9,10,
12,13,14,17,18,19,22,26,30,32,34,35,37,38,40,42,43,46,48,49,50,52,53,54,56,57,
58,60,66,82,84,91,94,95,97,99,101,102,107,110,112,114,117,118,124,131,135,143,
149,157,161,162,163,166,170,193,201,210,230,231,232,252],[1,2,3,4,5,6,10,11,
12,13,14,15,16,17,18,19,20,21,22,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,83,84,85,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,149,150,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,237,238,239,240,241,242,243,253],[1,2,4,6,7,8,9,10,11,15,16,17,18,
20,21,25,27,28,31,32,33,44,45,51,52,55,59,61,62,63,64,65,66,67,68,69,70,75,76,
77,78,81,83,109,116,125,126,127,133,134,138,139,140,143,145,146,147,148,177,
182,183,185,186,187,188,197,198,199,200,219,221,233,234,235,236,244,254],[1,2,
4,5,7,10,11,14,15,16,19,23,24,25,33,34,36,37,39,41,44,47,50,53,65,67,71,73,83,
84,85,86,93,98,99,104,105,106,119,130,132,133,149,151,152,153,164,171,187,191,
194,195,203,206,209,223,237,246,255],[1,2,3,4,9,10,11,12,13,14,15,16,26,33,34,
35,36,40,43,44,47,48,49,66,70,81,83,84,85,86,87,88,95,97,98,121,122,131,150,
151,153,156,163,165,188,193,203,205,207,232,238,247,256],[1,2,4,5,9,10,11,14,
15,16,19,30,33,34,36,37,39,41,44,47,50,53,66,70,81,83,84,85,86,93,98,99,104,
105,106,119,135,149,151,152,153,164,171,188,193,203,206,209,230,237,247,257],[
1,2,3,4,7,10,11,12,13,14,15,16,25,29,33,34,35,36,40,43,44,47,48,49,65,67,72,
74,83,84,85,86,87,88,95,97,98,121,122,130,133,137,150,151,153,156,163,165,187,
189,192,195,203,205,207,224,238,246,258],[1,2,4,6,7,10,11,14,15,16,17,18,20,
21,25,27,33,34,36,38,42,44,45,46,47,51,52,54,55,59,61,62,65,67,75,76,83,84,85,
86,91,94,98,103,109,113,115,116,120,125,126,130,133,138,140,151,153,154,155,
157,159,169,173,177,187,190,195,196,198,199,203,204,208,211,214,227,236,239,
246,259],[1,2,4,6,9,10,11,14,15,16,17,18,20,21,32,33,34,36,38,42,44,45,46,47,
51,52,54,55,59,61,62,66,70,81,83,84,85,86,91,94,98,103,109,113,115,116,120,
125,126,143,145,147,151,153,154,155,157,159,169,173,177,188,193,203,204,208,
211,214,231,235,239,247,260],[1,2,4,6,8,10,11,14,15,16,17,18,20,21,28,31,33,
34,36,38,42,44,45,46,47,51,52,54,55,59,61,62,64,68,69,77,78,83,84,85,86,91,94,
98,103,109,113,115,116,120,125,126,134,139,146,148,151,153,154,155,157,159,
169,173,177,185,186,197,200,203,204,208,211,214,222,233,234,239,248,249,250,
261],[1,2,4,7,8,9,10,11,14,15,16,25,28,33,34,36,44,47,63,64,65,66,67,68,69,70,
81,83,84,85,86,98,130,133,134,151,153,182,183,185,186,187,188,193,195,203,222,
244,246,247,248,262],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,26,
30,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,58,59,60,61,62,66,70,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,131,135,143,145,147,149,150,151,152,153,
154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,177,178,179,180,181,188,193,201,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,230,231,232,235,237,238,239,240,241,242,243,
247,252,253,256,257,260,263],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,27,29,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,61,62,65,67,71,72,73,74,75,76,79,80,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,130,132,
133,136,137,138,140,141,142,144,149,150,151,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,187,189,190,191,192,194,195,196,198,199,202,203,204,205,206,207,
208,209,210,211,212,213,214,215,216,217,223,224,225,226,227,228,229,236,237,
238,239,240,241,242,243,246,251,253,255,258,259,264],[1,2,4,5,7,8,9,10,11,14,
15,16,19,23,24,25,28,30,33,34,36,37,39,41,44,47,50,53,63,64,65,66,67,68,69,70,
71,73,81,83,84,85,86,93,98,99,104,105,106,119,129,130,132,133,134,135,149,151,
152,153,164,171,182,183,185,186,187,188,191,193,194,195,203,206,209,220,222,
223,230,237,244,246,247,248,255,257,262,265],[1,2,4,6,7,8,9,10,11,14,15,16,17,
18,20,21,25,27,28,31,32,33,34,36,38,42,44,45,46,47,51,52,54,55,59,61,62,63,64,
65,66,67,68,69,70,75,76,77,78,81,83,84,85,86,91,94,98,103,109,113,115,116,120,
125,126,127,130,133,134,138,139,140,143,145,146,147,148,151,153,154,155,157,
159,169,173,177,182,183,185,186,187,188,190,193,195,196,197,198,199,200,203,
204,208,211,214,219,221,222,227,231,233,234,235,236,239,244,246,247,248,249,
250,254,259,260,261,262,266],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,25,26,28,29,
33,34,35,36,40,43,44,47,48,49,63,64,65,66,67,68,69,70,72,74,81,83,84,85,86,87,
88,95,97,98,121,122,128,130,131,133,134,137,150,151,153,156,163,165,182,183,
185,186,187,188,189,192,193,195,203,205,207,218,222,224,232,238,244,246,247,
248,256,258,262,267],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,
1],[1,1,2,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,
1,2,1],[1,1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[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],[1,3,1,2,1],[1,3,2,1,
1,1,1],[1,1,3,1],[1,3,4,1,6,1],[1,1,4,1,2,1],[1,1,1,1],[1,1,2,1,1],[1,1,1,1],[
1,1,1,2,1],[1,1,4,2,1,1],[1,1,6,1,3,3,1],[1,1,2,1,2,1],[1,1,2,1,1,1,1],[1,1,4,
1,2,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,4,1,2,4,1],[1,3,2,1,1,1,
1],[1,1,4,1,2,1],[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],[1,1,2,1,1,1,1],[1,1,2,1,2,1],[1,1,2,2,2,1,1,1,4,1],[1,3,2,1,1,1,1],[1,3,2,
1,1,1,1],[1,1,2,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,
1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,1,6,1,3,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,
3,2,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,6,1,
3,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,3,1,3,1,3,
1,1,1,1],[1,3,12,1,4,12,18,3,12,1],[1,3,1,6,3,1],[1,3,1,6,3,4,1],[1,3,8,1,2,
12,2,1,4,1],[1,1,6,1,3,3,1,3,3,1],[1,1,2,3,1,3,1,3,3,1],[1,1,4,2,1,2,1,1,1,
1],[1,1,4,2,1,2,1,1,1,1],[1,3,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,2,1,1,1,1],[1,3,
1,2,1,1,1,1],[1,3,1,2,1,2,1],[1,3,1,2,1,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,3,4,1,
2,2,2,1,2,1,1,2,1],[1,3,4,1,4,6,1,2,1],[1,3,8,1,2,12,1,2,2,2,1],[1,1,2,1,1,1,
1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,4,6,1,2,1,3,8,1,1,
1,2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[
1,1,4,2,2,1,1,1,2,1,1,1,2,2,1],[1,1,2,1,1,1,1,1,1,1],[1,3,4,1,6,4,1,2,1],[1,1,
4,2,1,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,1,1,1,2,2,1],[1,1,3,
2,1,1,1,1],[1,1,4,4,2,2,1,1,1,2,8,1,1,1,2,2,1],[1,1,4,3,2,1,1,1,1],[1,3,4,4,1,
6,2,2,4,1,1,1,2,2,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,8,1,1,1,2,2,
1],[1,1,4,3,2,1,1,1,1],[1,1,4,2,1,2,3,1,1,2,1,1,2,1],[1,1,4,4,2,1,2,1,1,1,1],[
1,1,4,2,1,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,3,2,4,2,1,1,1,1,1,6,4,1,1,1,1,1,
1,1,1],[1,1,6,4,1,3,3,2,2,4,1,1,1,2,2,1],[1,1,6,1,3,3,2,2,1,1,1,1],[1,9,1,2,1,
3,6,3,1,1],[1,3,1,2,1,1,3,1,1],[1,3,1,2,1,1,3,1,1],[1,1,4,3,4,1,1],[1,3,6,4,1,
3,3,4,3,1,1],[1,3,12,1,1,18,1,3,3,3,1,3,3,1],[1,1,6,4,1,3,3,4,1,1,1],[1,3,4,4,
1,6,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,1,2,6,1,1,3,3,2,1,2,3,1,1,1,1],[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],[1,3,6,1,
1,3,3,3,2,3,1,1,1,1],[1,1,6,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,1,2,6,6,1,1,3,3,12,
1,1,1,2,2,3,1,1,1,2,2,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,16,1,6,24,3,4,12,12,1,6,1],[1,3,8,1,4,4,6,3,4,
4,6,6,12,1,4,4,6,1],[1,3,16,1,4,6,12,24,4,3,12,12,1,3,3,1],[1,3,1,6,3,2,2,1,2,
1],[1,3,8,1,10,12,2,5,4,4,1,1,1,4,1],[1,3,8,1,2,12,2,1,4,4,1,2,1],[1,3,8,8,1,
2,12,4,4,16,2,1,2,2,4,4,4,4,4,8,1,2,4,4,4,1],[1,3,1,6,3,4,4,1,2,1],[1,3,4,1,6,
2,2,3,1,1,2,2,2,1,1,1,1],[1,3,4,4,1,2,2,2,2,2,1,2,1,1,1,1,1,1,2,2,2,1,1,1,1,1,
1,1,1],[1,3,4,1,6,2,2,3,4,1,1,2,2,2,1,1,1,2,2,1],[1,3,4,1,2,2,2,1,1,1,1,1,2,2,
2,1,1,1,2,2,1],[1,3,8,4,1,2,2,2,12,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,4,8,1,
2,2,2,12,1,2,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,4,1,2,2,6,3,2,1,1,2,2,1,1,1,1],[
1,3,8,8,1,2,12,12,2,1,2,1,1,4,2,2,1,1,1,2,2,1],[1,3,4,8,1,2,2,2,12,2,1,2,1,1,
4,2,2,1,1,1,2,2,1],[1,3,8,1,2,12,1,2,2,2,2,2,1,1,1,1],[1,3,4,1,2,2,2,1,2,1,1,
1,1,2,2,1,1,1,2,2,1],[1,3,1,2,1,1,1,2,2,1,1,1,1],[1,3,8,1,2,12,8,2,1,4,4,1,2,
1],[1,3,4,8,4,1,2,2,2,2,2,12,16,1,2,2,1,1,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,
4,1],[1,3,8,1,6,12,3,4,2,1,1,2,2,1,1,1,2,2,1],[1,1,4,4,6,2,1,2,1,3,2,8,1,1,1,
1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,4,6,2,2,4,4,1,2,1,1,2,2,2,1,1,1,
1],[1,1,4,4,4,6,2,1,2,1,3,2,8,8,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,
4,3,1,3,2,2,1,1,3,1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,4,1,3,3,2,2,8,1,1,1,3,
3,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,12,4,1,4,12,18,2,2,4,4,3,12,1,1,2,2,2,4,4,1,1,
1,2,2,1],[1,1,6,4,1,3,3,2,2,1,1,1,3,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,2,2,1,
2,3,1,2,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,4,2,2,1,2,3,1,2,8,1,1,
1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,3,1,3,2,2,8,1,1,3,1,3,1,1,2,2,1,
1,1,1,1,1,1,1],[1,3,1,8,4,1,3,4,2,1,1,1],[1,3,4,5,4,1,3,4,1,1,1,1,1],[1,3,3,9,
1,2,1,9,1,1,3,3,3,6,3,1,3,3,1,1,1,1],[1,3,12,16,1,4,12,18,3,12,4,16,1,1],[1,3,
12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,3,
12,16,1,4,12,18,3,12,4,4,12,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,4,3,6,4,
1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,2,4,3,1,3,4,8,1,3,3,4,
1,1,1],[1,3,16,1,6,3,4,1,1],[1,1,12,4,3,6,8,4,1,3,3,4,3,1,1],[1,3,4,1,6,12,3,
4,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,3,4,12,4,1,6,6,6,12,4,8,1,3,3,
6,6,1,4,3,1,2,1],[1,1,6,12,4,1,3,3,6,6,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,6,4,
1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,4,4,1,6,12,4,1,6,1,4,3,1,1],[1,3,6,4,6,4,1,
3,3,3,3,6,12,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,2,12,6,1,1,1,1,3,3,18,12,
1,3,3,2,2,1,3,3,3,3,3,3,1,3,1,3,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,24,1,8,18,
24,36,6,9,12,24,36,2,3,3,9,18,6,9,1],[1,3,8,1,10,12,16,2,5,4,4,8,1,1,1,4,4,1,
2,1],[1,3,8,8,1,4,4,10,12,2,5,4,4,6,6,4,4,12,1,1,1,4,4,2,6,4,4,4,1,1,1,2,2,
1],[1,3,8,1,10,12,2,5,4,4,4,4,1,1,1,4,4,2,1,1],[1,3,8,1,10,12,2,5,4,4,8,1,1,1,
4,4,1,2,1],[1,3,8,8,1,10,12,4,4,16,2,5,4,2,2,4,4,4,4,4,4,8,1,1,1,2,2,4,4,4,4,
4,4,1,1,1,2,2,1],[1,3,8,16,1,10,12,24,2,5,4,4,2,2,4,12,12,1,1,1,2,4,6,4,4,4,4,
1,1,1,2,2,1],[1,3,4,16,4,1,2,2,6,2,2,24,16,3,2,4,1,1,1,1,2,2,2,12,2,12,2,4,4,
4,4,1,1,1,1,1,6,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,3,16,8,1,4,6,12,24,4,4,
8,16,4,3,2,2,12,4,4,12,4,4,8,4,8,8,1,3,2,3,4,2,4,4,4,4,1,1,1,2,2,1],[1,3,8,8,
4,1,4,4,6,2,2,12,16,3,4,4,2,1,1,6,1,1,6,2,12,2,2,2,2,4,4,4,4,1,4,4,1,1,1,1,1,
1,1,6,1,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,4,1,2,2,6,2,
2,3,2,1,2,1,2,1,1,2,2,2,2,2,1,1,1,1,1,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,
16,1,4,6,12,24,8,4,3,12,12,4,4,1,3,2,3,2,1,1,1,1],[1,3,4,8,8,8,1,2,2,2,12,4,4,
12,16,16,2,1,2,2,2,1,1,1,2,1,4,4,4,2,2,2,4,4,2,8,4,4,4,4,1,1,1,2,1,1,1,1,1,1,
2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,8,8,1,2,2,2,
12,12,2,1,2,2,1,1,1,1,4,2,2,2,2,4,1,1,2,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,8,4,1,6,2,2,12,3,4,2,1,1,1,1,2,4,2,2,2,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,3,6,1,8,4,1,3,3,3,4,6,3,4,2,1,1,3,3,4,1,3,1,1],[1,3,18,1,
8,4,1,9,9,3,6,24,12,9,4,2,1,1,3,3,4,6,3,3,1,1],[1,3,12,1,8,4,1,18,1,3,3,12,3,
4,2,1,1,3,3,4,1,3,1,1],[1,3,18,4,5,4,1,9,9,12,3,18,12,9,4,1,1,1,1,3,3,4,3,3,3,
3,1,1],[1,3,16,16,1,4,6,12,24,16,4,3,12,12,4,16,1,3,3,4,1,1,1],[1,3,24,4,1,6,
36,4,12,12,3,4,6,3,3,6,6,4,12,12,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,8,4,1,4,4,6,12,
8,3,4,4,6,6,12,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,1,2,12,12,4,3,1,3,6,6,24,4,4,4,
8,8,1,3,3,3,3,3,3,6,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,3,1,
3,6,6,8,4,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,12,4,1,
6,6,6,12,8,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,6,12,12,4,1,3,3,
6,6,24,8,4,8,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,
1,3,3,6,6,4,4,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,16,
16,1,6,24,16,3,4,12,12,4,1,6,4,1,1,1],[1,3,12,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,
3,4,3,1,1],[1,3,12,16,1,6,6,6,16,3,6,3,3,6,6,4,1,3,3,4,3,1,1],[1,3,12,12,16,1,
4,12,18,6,6,12,12,16,3,12,3,3,6,6,6,12,12,4,16,1,3,3,6,6,4,8,3,1,1],[1,3,12,
12,4,1,4,12,18,6,6,12,12,12,8,3,12,3,3,6,6,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,
1,1,1,1],[1,3,12,12,16,1,4,12,18,6,6,12,12,16,3,12,3,3,6,6,6,12,12,4,4,12,1,3,
3,6,6,4,4,4,3,1,1],[1,3,12,12,4,1,4,12,18,6,6,12,12,12,8,3,12,3,3,6,6,6,12,12,
1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,3,24,16,1,8,18,24,36,24,6,9,12,4,6,6,24,
36,12,12,2,3,3,9,6,18,6,12,12,12,12,1,6,3,9,6,6,1,3,3,1],[1,3,8,24,1,8,4,4,18,
24,36,6,9,4,12,6,6,24,36,12,12,2,3,3,9,4,4,6,6,18,12,12,1,6,9,3,6,6,1,3,3,1],[
1,3,24,8,1,8,18,24,36,4,4,16,16,6,9,12,2,2,24,4,4,36,4,4,4,8,8,16,16,2,3,3,9,
2,2,18,4,4,4,4,4,4,8,8,6,9,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,3,8,8,16,8,1,4,4,10,
12,4,4,24,16,32,2,5,4,4,4,2,2,6,2,2,6,4,4,4,4,12,12,4,4,12,4,8,8,8,8,8,1,1,1,
4,4,2,2,2,2,2,2,2,2,6,4,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,
3,8,16,1,10,12,24,16,2,5,4,4,2,2,4,8,12,12,8,1,1,1,2,4,4,6,4,4,4,4,4,1,1,1,2,
2,2,2,1,1,1,1],[1,3,8,8,1,10,12,4,4,16,2,5,4,2,4,4,2,4,4,4,8,4,4,4,8,1,1,1,2,
4,2,4,4,4,4,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,3,8,8,1,4,4,10,12,16,2,5,4,4,4,6,
4,6,4,4,12,8,1,1,1,4,4,4,2,6,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,12,4,20,16,1,
4,12,18,12,12,3,12,16,5,1,4,4,16,4,4,12,1,3,3,4,4,1,1,1,1,1],[1,3,6,12,18,1,8,
4,1,3,3,9,9,18,36,1,3,3,4,6,6,12,24,12,3,3,9,9,9,9,9,4,2,1,1,3,3,3,3,3,3,6,6,
12,9,4,4,4,1,1,3,3,3,6,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,3,24,16,1,8,18,24,36,48,
6,9,12,24,36,8,16,2,3,3,9,18,12,24,6,9,8,12,1,1],[1,3,24,64,1,8,18,24,36,6,9,
12,24,36,16,32,96,2,3,3,9,18,6,9,8,12,1,1],[1,3,24,16,1,8,18,24,36,48,6,9,12,
24,36,4,16,16,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,3,16,16,1,4,6,12,24,24,16,4,3,
12,12,12,12,4,16,16,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,3,16,24,16,1,4,6,12,24,12,
12,24,48,16,32,4,3,6,6,12,12,12,12,12,12,24,12,24,24,4,16,16,1,3,6,3,12,6,12,
12,12,12,4,8,16,1,3,3,6,6,1,4,3,1,2,1],[1,3,8,24,12,4,1,4,4,6,6,6,36,48,4,12,
12,8,8,3,4,4,6,3,3,6,3,3,6,6,12,6,6,6,6,12,12,12,12,4,12,4,12,4,4,4,8,8,1,4,4,
3,3,3,3,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,
6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,3,12,16,12,16,1,6,6,6,6,6,24,48,
16,16,16,3,6,4,3,3,3,3,6,6,6,12,6,12,6,12,12,12,12,4,16,1,3,3,3,3,6,6,6,6,6,6,
6,6,6,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,8,24,16,8,1,8,4,4,18,24,36,4,
4,24,16,16,32,6,9,4,12,4,2,6,6,6,2,6,24,4,4,36,12,12,12,4,4,12,4,8,8,8,8,8,8,
16,16,2,3,3,9,4,4,2,2,2,2,6,2,6,2,6,18,6,4,4,4,4,12,12,12,4,4,4,4,4,4,4,4,4,4,
4,4,12,4,12,12,4,8,8,8,1,1,6,3,9,1,1,3,2,2,2,2,2,2,6,6,6,2,2,2,2,2,6,4,4,4,4,
4,4,4,4,4,4,1,1,3,3,3,1,3,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,12,36,4,20,16,
1,4,12,18,18,18,36,36,12,24,12,72,48,3,12,9,9,18,18,18,36,36,16,5,1,4,4,16,4,
4,12,12,12,12,12,1,9,9,18,18,16,3,3,6,18,12,12,12,12,12,24,9,4,4,1,1,1,1,3,3,
3,3,4,4,3,3,3,3,1,1],[1,3,24,48,16,1,8,18,24,36,72,16,48,48,6,9,12,12,18,18,
24,36,36,36,8,16,48,48,2,3,3,9,18,18,18,36,36,36,36,12,16,24,3,6,9,9,18,18,8,
12,12,12,1,9,9,12,3,1,1],[1,3,24,24,64,1,8,12,12,18,24,36,64,6,9,12,12,18,18,
24,36,36,36,16,32,96,2,3,3,9,12,12,18,18,18,36,36,16,3,6,9,9,18,18,8,12,1,9,9,
12,3,1,1],[1,3,24,16,64,1,8,18,24,36,24,64,6,9,12,4,6,6,24,36,12,12,16,32,96,
2,3,3,9,6,18,6,12,12,12,12,16,1,6,3,9,6,6,8,12,1,3,3,4,1,1,1],[1,3,8,24,16,1,
8,4,4,18,24,36,48,32,6,9,4,12,6,6,24,36,12,12,8,16,16,16,2,3,3,9,4,4,6,6,18,
12,12,12,24,16,1,6,9,3,6,6,8,4,4,12,1,3,3,4,1,1,1],[1,3,24,24,16,1,8,18,24,36,
12,12,48,48,48,32,6,9,12,6,6,24,12,12,36,12,12,12,24,24,48,48,8,16,16,16,2,3,
3,9,6,6,18,12,12,12,12,12,12,24,24,12,24,16,16,6,9,3,3,6,6,6,12,12,8,4,12,4,8,
8,1,3,3,6,6,4,8,3,1,1],[1,3,24,24,64,1,8,18,24,36,12,12,48,48,64,6,9,12,6,6,
24,12,12,36,12,12,12,24,24,48,48,16,32,96,2,3,3,9,6,6,18,12,12,12,12,12,12,24,
24,16,32,32,6,9,3,3,6,6,6,12,12,8,12,1,3,3,6,6,4,8,3,1,1],[1,3,24,24,16,1,8,
18,24,36,12,12,48,48,48,32,6,9,12,6,6,24,12,12,36,12,12,12,24,24,48,48,4,16,
16,16,16,2,3,3,9,6,6,18,12,12,12,12,12,12,24,24,12,8,16,16,6,9,3,3,6,6,6,12,
12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,3,24,16,32,64,1,8,18,24,36,48,96,6,9,
12,24,36,64,8,8,16,16,32,32,32,96,2,3,3,9,18,12,24,24,6,9,16,32,2,8,8,8,12,12,
1,6,8,1,1,2,1],[1,3,24,24,16,24,64,1,8,12,12,18,24,36,12,12,24,48,48,96,64,64,
64,6,9,12,12,4,6,6,18,6,6,18,24,12,12,36,36,36,12,12,12,12,12,24,24,24,24,24,
24,48,48,16,32,96,64,2,3,3,9,12,12,6,6,6,6,6,6,18,6,18,18,6,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,12,24,24,24,16,16,16,32,32,
1,3,6,3,9,3,3,9,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,
8,12,16,1,3,9,3,9,3,3,6,6,6,6,6,6,6,6,4,4,12,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,3,8,24,48,24,16,1,8,4,4,18,24,36,12,12,72,48,48,96,16,48,48,32,32,6,9,4,12,
12,6,18,6,18,6,6,24,12,12,36,12,12,36,12,12,36,12,24,24,24,24,24,24,48,48,8,
16,48,16,48,16,16,16,32,32,2,3,3,9,4,4,6,6,6,6,18,6,6,6,6,18,18,12,12,12,12,
36,36,36,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,24,24,24,12,16,24,
16,16,16,16,16,16,16,3,1,6,9,9,3,3,3,6,6,6,6,6,6,6,18,6,6,6,6,6,6,18,12,12,12,
12,12,12,12,12,12,12,8,4,4,12,4,12,12,4,8,8,16,1,3,3,9,3,3,9,6,6,6,6,6,6,6,6,
12,4,4,4,4,4,4,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,24,48,16,32,64,1,8,18,24,
36,72,16,48,48,96,192,6,9,12,12,18,18,24,36,36,36,64,8,8,16,16,32,32,32,48,48,
96,2,3,3,9,18,18,18,36,36,36,36,64,12,16,24,24,48,3,6,9,9,18,18,16,32,2,8,8,8,
12,12,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,3,24,72,16,32,64,1,8,18,24,
36,36,36,144,144,48,96,96,192,192,6,9,12,18,18,24,36,36,36,36,36,36,72,72,144,
144,64,8,8,16,16,32,32,32,48,48,96,96,96,2,3,3,9,18,18,18,36,36,36,36,36,36,
72,72,64,12,24,24,48,48,48,48,96,96,96,96,6,9,9,9,18,18,18,36,36,16,32,2,8,8,
8,12,12,12,12,24,24,24,24,1,9,9,18,18,16,32,6,12,12,12,24,24,24,9,8,1,1,2,6,6,
8,3,3,6,1,1],[1,3,24,24,16,32,64,1,8,12,12,18,24,36,48,64,96,96,6,9,12,12,18,
18,24,36,36,36,64,8,8,16,16,32,32,32,48,48,96,2,3,3,9,12,12,18,18,18,36,36,64,
12,16,24,24,48,3,6,9,9,18,18,16,32,2,8,8,8,12,12,12,12,1,9,9,16,6,12,12,3,8,1,
1,2,1,3,1,1],[1,3,24,24,48,72,16,32,64,1,8,12,12,18,24,36,36,36,72,144,144,
288,16,48,48,64,96,96,96,192,192,192,6,9,12,12,12,18,18,18,18,18,18,24,36,36,
36,36,36,36,36,36,36,36,72,72,72,72,72,72,144,144,64,8,8,16,16,32,32,32,48,48,
48,48,48,48,96,96,96,96,96,192,2,3,3,9,12,12,18,18,18,18,18,18,18,18,18,18,18,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,72,
72,64,64,64,12,16,16,24,24,48,48,48,48,48,48,48,48,48,48,96,96,96,96,3,3,6,9,
9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,16,32,64,2,8,8,8,12,12,12,12,12,12,12,12,24,24,24,24,48,48,1,9,9,9,9,9,
9,18,18,18,18,18,18,18,18,16,16,16,32,6,12,12,12,12,12,12,12,12,12,12,12,24,
24,24,3,3,9,9,9,9,9,8,16,1,1,2,6,6,12,12,9,8,1,1,3,3,3,3,6,1,3,3,1,1,1,1]],
[1,2,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,18,18,18,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,32,
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,
32,32,32,32,32,36,36,36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,72,72,72,72,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,128,128,128,128,128,128,128,144,144,192,192,192,192,
192,192,192,256,288,384,384,384,384,384,384,384,576,768,768,1152,1152,1152,
2304],
[268,264,225,234,201,174,245,221,184,268,254,251,251,240,235,211,215,215,170,
125,125,60,245,202,202,184,142,146,142,82,78,82,261,253,251,251,252,240,240,
240,240,240,240,236,211,215,215,215,212,215,211,215,212,212,155,170,170,170,
177,170,125,125,184,254,254,245,245,221,221,221,202,202,202,202,202,202,146,
146,142,142,147,82,266,263,264,253,251,251,240,240,240,240,240,240,240,240,
240,239,240,215,215,212,215,215,215,212,215,212,211,212,212,212,212,215,212,
211,215,212,212,215,215,215,215,170,177,177,184,184,184,251,245,245,236,234,
201,202,202,198,197,202,202,202,201,202,145,146,147,148,263,264,261,253,253,
253,253,253,240,240,240,240,240,240,240,240,240,240,240,240,239,240,240,215,
211,215,212,212,211,212,215,215,212,245,221,184,266,254,254,254,251,251,251,
251,252,251,251,251,234,236,236,234,201,202,268,253,253,253,253,253,253,240,
239,240,240,239,240,240,240,245,245,245,221,261,251,251,251,251,251,251,251,
252,252,252,250,234,235,236,263,264,253,253,253,253,253,254,245,268,268,266,
261,261,251,252,253,254,268,268,263,264,264,263,261,268,263,264,268,268,268,
268],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,1,9,7,1,1,1,8,9,1,1,2,2,1,2,
1,2,1,2,2,1,1,1,2,1,1,2,1,2,2,1,2,2,2,1,1,1,4,4,1,10,11,10,1,11,1,11,7,1,7,1,
7,7,8,8,7,7,15,9,1,1,2,2,2,2,14,14,2,14,1,2,2,14,2,2,2,2,14,14,2,14,14,14,2,2,
2,14,1,2,14,2,14,2,14,2,14,2,14,14,1,2,4,4,63,9,7,36,66,7,11,10,10,25,2,65,64,
25,25,7,66,7,70,28,81,68,10,2,10,2,10,10,2,10,14,14,14,2,14,14,14,14,14,10,2,
14,10,2,14,14,16,14,14,14,16,14,14,14,14,10,11,63,83,10,11,83,36,130,130,36,
84,130,36,130,64,65,65,64,66,25,10,34,34,34,34,34,34,34,33,14,14,33,14,34,34,
66,182,67,183,83,130,36,130,130,130,130,130,84,193,193,185,134,188,133,84,85,
86,34,84,86,85,83,182,203,203,83,185,185,130,193,153,244,246,247,203,203,246,
247,222,203,247,246,246,262,247,262],
[(  1, 19)(  2, 67)(  3, 22)(  4, 61)(  5, 50)(  7, 30)(  8, 17)(  9, 12)
( 10, 98)( 11, 43)( 13, 20)( 14, 99)( 15, 49)( 16, 86)( 18, 87)( 23, 70)
( 25, 91)( 27, 57)( 28, 51)( 29, 41)( 31, 44)( 32, 62)( 33, 71)( 34, 38)
( 35, 72)( 36, 52)( 37, 56)( 39, 68)( 42, 64)( 45, 85)( 46, 53)( 48, 80)
( 54, 63)( 55, 84)( 58, 95)( 59, 79)( 60, 82)( 65, 94)( 69, 89)( 73, 75)
( 76, 83)( 88,100)( 93, 96),(  1, 73, 88, 82, 53, 96)(  2, 62, 25, 91, 56, 20)
(  3, 26, 61,  5, 95, 74)(  4, 22, 76)(  6, 29, 84)(  7, 98,  8, 34, 92, 69)
(  9, 13, 19, 27, 36, 85)( 10, 55, 33, 49, 44, 17)( 11, 48, 65, 16, 37, 47)
( 12, 94,100, 42, 90, 79)( 14, 39, 68, 80, 21, 87)( 15, 71, 41, 40, 30, 89)
( 18, 51, 86, 60, 99, 78)( 23, 46, 45, 52, 64, 97)( 24, 32, 93, 70, 54, 43)
( 28, 63, 75)( 31, 77, 38)( 35, 59, 66, 57, 81, 67)( 50, 83)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[2,2],[1,1,2,-1,3,1,5,1,4,-1,5,-1,3,2,4,
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1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,
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1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,2,4,-1,1,1,2,-1,3,1,5,1,4,-1,5,-1]]],[[[2,2,
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1,1,1],[1,1,2,-1],[4,1,3,-1,2,-2,5,2,3,2,4,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,
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1],[3,1,4,-1,3,1,4,1]]],[[[2,1,1,1,2,2,1,1,2,1]],[[1,1,2,1],[2,2,1,1],[3,1,4,
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1],[3,1,2,2,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,-3,2,1,1,1]],[[1,1,2,1],[
3,1,2,2,1,1,2,-2,3,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,1,
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1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,
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2,2,1,1,3,2,2,2]]],[[[1,1,2,1],[2,2,1,1,3,-2,2,-1,3,-1]]],[[[2,1,1,1],[2,2,3,
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1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,-1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,1,3,2,2,1,4,-2]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
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1,1],[2,2,3,2,2,-1,1,1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[2,2,1,1,
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1],[2,1,1,1],[3,1,4,2,3,-1,2,2,1,1]]],[[[1,1,2,1],[3,2,1,1,2,1]],[[2,1,1,1],[
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92,116],[1,3,7,10,22,23,45,49,117],[1,2,6,9,22,47,48,67,78,118],[1,3,6,21,22,
28,45,63,67,82,100,119],[1,2,3,4,6,7,8,9,15,17,23,24,25,28,32,44,48,50,53,58,
59,76,83,86,102,120],[1,2,5,6,7,8,9,13,14,24,26,29,30,33,44,48,50,53,55,57,77,
84,89,96,102,121],[1,2,5,6,7,8,9,13,14,24,26,27,33,44,48,50,53,56,60,75,84,90,
102,122],[1,3,5,6,7,8,10,18,21,26,28,29,30,42,44,49,51,52,54,61,63,77,93,94,
95,98,103,123],[1,2,3,4,9,15,17,19,21,22,32,35,36,45,46,47,74,78,79,80,81,82,
105,106,107,124],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,52,53,65,68,69,70,71,72,73,74,96,98,99,101,
109,125],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,26,28,31,32,33,34,
35,36,37,38,39,40,41,42,43,48,54,61,63,68,69,70,71,72,73,74,84,86,95,101,108,
112,114,126],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,18,19,20,21,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,51,53,66,68,69,70,71,72,73,74,94,96,97,101,111,
127],[1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,24,29,31,32,33,34,35,
36,37,38,39,40,41,42,43,49,50,55,57,68,69,70,71,72,73,74,85,89,93,101,110,113,
115,128],[1,2,3,4,7,10,15,16,22,23,24,25,31,45,46,47,49,58,80,85,117,129],[1,
2,3,4,6,9,15,17,22,28,32,45,46,47,48,67,78,79,80,86,100,105,118,130],[1,3,5,7,
10,18,21,22,23,27,29,42,45,49,64,82,93,117,131],[1,2,3,4,6,7,8,9,10,11,12,15,
16,17,24,28,31,32,34,44,48,49,50,51,52,53,54,65,66,68,85,86,102,103,108,109,
110,111,132],[1,2,3,4,5,6,7,8,9,13,14,15,17,18,20,23,24,25,26,27,28,29,30,32,
33,37,38,39,44,48,50,53,55,56,57,58,59,60,61,62,64,71,75,76,77,83,84,86,87,88,
89,90,91,92,96,102,104,114,116,120,121,122,133],[1,3,6,7,8,10,22,23,28,44,45,
49,51,52,54,67,76,100,103,117,134],[1,2,3,4,7,9,10,11,12,15,16,17,22,23,24,25,
31,32,34,45,46,47,49,50,58,59,68,78,79,80,83,85,105,110,117,129,135],[1,2,3,4,
7,10,13,15,16,19,22,23,24,25,31,36,37,45,46,47,49,56,57,58,69,80,81,85,88,106,
115,117,129,136],[1,2,3,4,5,7,10,14,15,16,18,20,21,22,23,24,25,27,29,31,35,38,
42,43,45,46,47,49,55,58,60,62,64,73,80,82,85,87,93,107,113,117,129,131,137],[
1,2,3,4,6,9,15,17,19,21,22,28,32,35,36,45,46,47,48,63,67,74,78,79,80,81,82,86,
100,105,106,107,112,118,119,124,130,138],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,24,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,48,
49,50,51,52,53,54,55,57,61,63,65,66,68,69,70,71,72,73,74,77,84,85,86,89,93,94,
95,96,97,98,99,101,102,103,108,109,110,111,112,113,114,115,121,123,125,126,
127,128,132,139],[1,3,5,6,7,8,10,18,21,22,23,26,27,28,29,30,42,44,45,49,51,52,
54,61,63,64,67,75,76,77,82,93,94,95,98,100,103,104,117,119,123,131,134,140],[
1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,31,32,33,
34,35,36,37,38,39,40,41,42,43,45,46,47,49,50,55,56,57,58,59,60,62,64,68,69,70,
71,72,73,74,78,79,80,81,82,83,85,87,88,89,90,91,92,93,101,105,106,107,110,113,
115,116,117,124,128,129,131,135,136,137,141],[1,2,3,4,6,7,8,9,10,11,12,15,16,
17,22,23,24,25,28,31,32,34,44,45,46,47,48,49,50,51,52,53,54,58,59,65,66,67,68,
76,78,79,80,83,85,86,100,102,103,105,108,109,110,111,117,118,120,129,130,132,
134,135,142],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,
1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,2,
1],[1,1,1],[1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[
1,3,1,1],[1,3,1,1],[1,1,3,3,1,3,3,1],[1,3,1,3,1,3,3,1],[1,3,2,1,1,1,1],[1,1,1,
5,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,2,1,1],[1,1,1,1,4,2,1,
2,2,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,1,1,2,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,1,6,1,3,
1,2,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,
1,2,1,1,1,2,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,3,1,1],[1,3,4,1,3,
1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,1,1],[1,3,3,9,1,1,3,3,9,9,9,3,3,9,1],[1,
1,3,3,1,2,3,3,2,1,1,1,1],[1,1,1,5,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,1,3,4,
1,2,2,3,3,2,2,1,2,1,1,2,1],[1,1,1,5,1,1,2,1,2,2,2,1,1,1,1],[1,1,3,3,4,1,2,3,3,
2,2,2,1,1,1,2,2,1],[1,3,1,3,1,3,3,2,2,1,1,1,1],[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],[1,3,1,1,3,1],[1,1,10,5,1,2,1,1],[1,1,5,5,5,1,
1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,1,3,3,
8,1,4,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,3,3,1,4,3,1,1,1,3,1,1,1,1],[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],[1,1,6,6,1,1,3,3,1,2,2,3,1,
1,1,1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,
3,4,3,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,
3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,5,1,1,5,1,1,1],[
1,3,3,9,4,1,1,3,3,2,2,9,9,9,2,2,2,2,3,3,2,9,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,1,1,1],[1,3,12,1,1,2,9,1,4,
3,3,3,6,1,3,3,1,1,1,1],[1,3,5,15,1,15,15,1,5,1,3,3,1,3,3,1],[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],[1,3,3,9,4,1,1,3,3,9,9,9,12,3,3,9,
1,4,1,3,1],[1,3,3,9,16,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,3,3,9,4,1,1,3,3,9,9,
9,12,3,3,9,1,4,1,3,1],[1,3,3,9,16,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,3,1,3,4,
1,3,3,6,6,4,1,3,3,1,4,3,1,1],[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],[1,3,1,3,12,4,1,6,6,3,3,6,6,8,4,1,6,3,3,6,1,4,3,2,1,1],[1,1,3,3,4,1,6,
3,3,6,4,1,3,3,1,4,3,1,1],[1,3,3,9,8,1,1,4,4,9,9,6,6,1,3,3,2,2,3,4,3,3,6,1,1,1,
1,3,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,3,4,1,1,3,1,4,1,1],[
1,5,1,15,1,5,1,5,1,3,1,1],[1,3,3,9,4,1,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,
1],[1,3,18,4,1,8,1,9,9,3,12,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,6,4,1,8,1,3,
3,3,4,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,18,1,4,8,1,9,9,6,3,12,24,9,4,1,1,1,1,3,
3,4,3,3,3,3,1,1],[1,3,5,15,1,15,15,10,10,1,5,5,5,1,3,3,5,1,3,3,2,2,1,1,1,1],[
1,3,3,9,12,16,1,1,3,3,6,6,9,9,9,6,6,6,6,16,3,3,6,9,3,3,3,3,6,6,6,6,6,4,4,12,1,
3,3,3,3,3,3,4,4,4,3,1,1],[1,3,3,9,12,4,1,1,3,3,6,6,9,9,9,6,6,6,6,8,12,3,3,6,9,
3,3,3,3,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,3,3,9,12,16,1,1,3,
3,6,6,9,9,9,6,6,6,6,16,3,3,6,9,3,3,3,3,6,6,6,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,
1,1],[1,3,3,9,12,4,1,1,3,3,6,6,9,9,9,6,6,6,6,12,8,3,3,6,9,3,3,3,3,6,6,6,6,6,1,
4,4,4,1,3,3,3,3,3,3,3,4,2,3,1,1,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,
5,10,6,5,1,1],[1,3,5,15,4,1,15,15,1,20,5,1,3,3,1,4,1,3,3,5,4,1,1,1],[1,15,10,
10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,3,3,9,4,4,32,1,1,3,3,9,9,9,12,12,
3,3,9,16,1,1,4,4,4,8,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,3,3,9,24,4,1,8,1,12,12,9,
9,18,18,1,3,3,16,6,12,6,24,3,12,9,9,18,4,1,1,2,3,3,3,3,3,3,12,6,6,9,4,4,4,1,4,
3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,5,5,6,10,6,
5,1,1],[1,3,15,45,10,1,5,15,15,45,45,45,6,10,30,30,15,15,45,6,18,18,5,10,30,
30,5,6,18,18,10,15,6,5,1,3,1],[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],[1,1,15,15,20,10,5,10,15,15,30,30,30,
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],[1,3,5,15,4,1,15,15,30,30,1,20,5,15,15,1,3,3,1,20,4,15,1,3,3,6,6,5,4,1,3,
3,5,1,4,3,1,1],[1,3,3,9,36,4,4,32,1,1,3,3,18,18,9,9,9,18,18,18,18,12,24,12,24,
96,3,3,18,9,9,9,9,9,18,18,18,18,18,16,1,1,4,4,4,8,4,12,12,12,12,12,12,1,9,9,9,
9,9,9,16,6,3,3,12,6,12,12,24,12,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[
1,15,30,1,10,20,5,45,45,6,10,10,30,15,30,60,45,10,6,5,5,5,5,15,15,30,6,10,10,
10,18,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,3,15,45,20,10,1,5,15,15,10,10,45,45,
45,30,30,30,30,6,10,30,30,20,20,15,15,10,45,15,15,15,15,30,30,30,30,30,6,18,
18,5,10,10,10,10,30,30,10,20,20,5,15,15,15,15,15,15,6,18,18,12,12,10,15,10,10,
10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,3,2,1,1,1,1],[1,3,15,45,4,10,80,1,5,15,
15,45,45,45,6,10,30,30,60,15,15,45,40,6,18,18,1,5,10,20,20,20,20,30,30,60,60,
24,5,40,6,18,18,10,15,15,24,10,20,6,5,5,5,5,1,6,10,3,6,5,4,1,1],[1,3,15,45,60,
4,10,80,1,5,15,15,30,30,45,45,45,90,90,90,90,6,10,30,30,40,60,60,60,240,15,15,
30,45,45,45,45,45,90,90,90,90,90,40,6,18,18,1,5,10,20,20,20,20,30,30,30,30,30,
30,60,60,60,60,60,60,24,5,45,45,45,45,45,45,40,40,40,6,18,18,36,36,10,10,15,
15,30,30,30,30,30,30,30,60,60,60,60,60,60,24,45,10,20,40,6,18,18,5,5,5,5,15,
15,15,15,30,1,6,24,10,10,10,20,18,15,15,15,15,3,6,6,5,10,4,1,3,3,6,5,4,3,1,
1]],
[1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,
8,8,8,8,8,9,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
15,16,16,16,16,16,16,16,18,18,18,20,20,20,20,20,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,30,32,36,36,36,40,40,40,48,48,48,48,48,48,48,48,48,60,60,
60,72,72,72,72,80,96,96,96,96,120,120,120,144,144,180,240,240,240,240,288,360,
480,720,1440],
[143,141,126,101,87,140,133,77,143,139,127,125,116,116,101,101,101,73,70,70,
73,138,133,116,116,104,87,95,87,30,128,126,116,101,101,101,101,101,71,70,70,
73,73,104,138,124,124,143,139,133,123,123,121,123,116,116,116,116,116,116,95,
87,95,87,99,97,119,139,101,101,101,101,101,101,104,104,104,138,124,124,106,
107,133,133,128,126,116,116,116,116,116,116,113,94,95,96,97,98,99,119,101,133,
123,104,138,124,124,139,139,139,139,126,128,126,128,116,143,138,119,133,133,
133,123,124,125,126,127,128,141,138,137,139,133,140,143,141,141,138,139,140,
141,143,143],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,7,6,1,1,7,8,1,1,2,1,1,1,1,1,
2,4,4,3,3,1,22,22,1,9,10,1,10,10,9,1,7,1,7,7,7,1,6,7,6,7,12,11,1,1,3,4,2,4,3,
2,6,7,44,1,22,22,22,22,7,48,10,9,7,7,24,2,24,24,49,51,28,53,66,52,65,22,15,9,
10,44,22,22,22,9,68,10,68,48,49,48,49,24,117,9,67,50,102,48,103,47,109,86,111,
85,117,78,117,68,102,117,117,117,117,118,132,134,129,135,142],
[(  1, 50, 32, 30, 73)(  2, 90, 43, 47, 84, 77, 35, 68, 27, 61,  3, 97, 94,
  69, 39)(  4, 15,100, 48, 85, 40, 42, 18, 57, 79, 23, 91, 46, 20, 93)
(  5,  6, 45, 71, 44, 12, 72, 56, 38, 86, 52, 92, 19, 63, 67)(  7, 62, 95, 21,
 80, 36, 37,  9, 34, 22, 76, 60, 29, 11,  8)( 10, 55, 87, 81, 58, 82, 54, 64,
  51, 75, 96, 66, 25, 17, 83)( 13, 70, 53, 31, 26, 74, 99, 88, 28, 65, 16, 33,
 49, 89, 14)( 24, 41, 98, 59, 78),(  1, 92)(  2, 94, 20, 29,  7, 23)
(  3, 40, 57, 68, 76,  9)(  4, 54, 43, 55, 95, 66)(  5, 49, 19)
(  8, 58, 79, 96, 34, 25)( 10, 27, 87, 39, 75, 60)( 11, 93, 80)
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( 15, 85, 18, 21, 35, 22)( 16, 89, 70, 26, 63, 44)( 17, 77, 81, 48, 51, 36)
( 30, 74, 59, 33, 78, 38)( 37, 61, 47)( 42, 64, 46, 83, 97, 82)( 52, 88, 56)
( 62,100, 69, 90, 84, 91)],
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1,1,1,1],[1,25,25,1,1,2,2,5,5,10,10,5,5,10,10,1,1,1],[1,5,5,25,25,1,1,2,2,1,1,
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5,6,6,6,5,10,6,5,1,1],[1,5,3,15,1,20,15,1,1,5,5,15,1,3,3,5,5,5,1,4,3,5,1,1,1,
3,1,1,1,1],[1,5,5,25,25,50,1,1,2,2,25,1,1,5,5,5,5,10,10,5,5,5,10,5,10,10,1,5,
5,1,1,1,1,1,1,1],[1,5,3,15,4,1,30,15,15,30,1,20,5,15,15,1,3,3,1,20,4,15,1,6,3,
3,6,5,4,1,3,3,5,1,4,3,1,1],[1,1,15,15,10,5,10,15,15,30,6,10,10,10,5,15,15,6,6,
6,5,10,10,10,15,6,6,6,5,10,6,5,1,1,1],[1,15,10,5,1,6,12,12,10,6,15,5,10,5,6,
10,6,1,5,1],[1,5,15,75,10,5,75,75,1,6,12,12,10,50,50,25,1,6,15,15,30,30,60,60,
5,50,10,5,15,15,30,25,6,10,10,10,5,6,6,6,1,5,10,6,5,5,1,1],[1,5,15,75,10,5,50,
75,75,150,1,6,12,12,10,50,50,25,75,75,1,6,15,15,30,30,60,60,5,50,50,50,10,75,
5,10,15,15,30,30,30,30,60,60,25,50,6,10,10,10,5,15,15,30,25,6,6,6,1,5,10,10,
10,15,6,6,6,5,5,10,6,5,5,1,1,1]],
[1,2,2,2,3,4,4,4,4,4,5,5,5,5,6,6,6,8,8,8,10,10,10,10,10,10,10,10,12,12,12,12,
15,16,20,20,20,20,20,20,20,20,20,20,24,24,25,30,30,30,40,40,40,40,48,50,50,50,
60,60,60,60,60,80,100,100,100,120,120,120,200,240,240,300,600,1200],
[76,73,64,34,70,72,46,34,34,19,76,71,65,65,70,46,46,55,34,34,76,71,64,64,54,
54,43,44,72,46,46,46,70,34,72,70,64,64,54,54,53,54,43,44,55,46,71,70,70,70,72,
64,64,54,55,71,71,71,76,72,70,70,70,64,71,71,71,72,73,70,71,72,73,76,76,76],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,1,1,1,11,12,11,1,1,12,14,13,6,1,5,5,1,3,1,
11,11,11,12,12,11,12,14,13,6,5,1,11,5,33,11,11,11,12,29,47,12,11,59,6,11,33,
33,24,47,47,47,35,59,33,47,60,59,59,74,74],
[(  1,  8,100, 92)(  2, 63,  4, 34)(  3, 67, 98, 27)(  5, 62, 65, 15)
(  6, 22, 82, 10)(  7, 86, 68, 31)(  9, 74, 73, 60)( 11, 12, 30, 43)
( 13, 57, 71, 23)( 14, 59, 76, 64)( 16, 20, 87, 17)( 18, 56, 39, 46)
( 19, 61, 72, 80)( 21, 70, 97, 95)( 24, 48, 93, 53)( 25, 88, 47, 55)
( 26, 42, 77, 85)( 28, 41, 90, 51)( 29, 89, 36, 79)( 32, 40, 83, 33)
( 35, 49, 69, 99)( 37, 81, 58, 52)( 38, 78, 91, 54)( 44, 94, 75, 66)
( 45, 50, 84, 96),(  1, 46, 67,  2, 59)(  3, 95, 21, 18, 63)(  4, 69, 39,100,
  77)(  5, 38, 82, 80, 15)(  6, 30, 32, 33, 47)(  7, 89, 49, 68, 71)
(  8, 10, 52, 91, 85)(  9, 60, 90, 34, 57)( 11, 41, 25, 98, 29)
( 12, 35, 62, 96, 27)( 13, 81, 70, 93, 72)( 14, 87, 58, 76, 43)
( 16, 45, 66, 17, 64)( 19, 22, 86, 42, 54)( 20, 23, 88, 28, 61)
( 24, 40, 55, 56, 84)( 26, 73, 75, 97, 37)( 31, 79, 53, 94, 36)
( 44, 65, 99, 92, 83)( 48, 50, 74, 51, 78)],
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LIBTOM( "L3(2).2x2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,4,8],[1,4,9],[1,2,3,4,10],[1,4,
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1,2,3,4,9,10,11,30],[1,4,8,11,31],[1,4,11,32],[1,2,3,4,5,6,10,12,13,14,16,
33],[1,3,4,8,9,15,34],[1,4,5,6,9,13,14,35],[1,4,7,8,36],[1,3,5,6,7,16,17,18,
20,37],[1,2,5,6,7,12,17,19,23,38],[1,4,5,7,13,17,21,22,39],[1,4,6,7,14,18,19,
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22,23,43],[1,5,24,44],[1,2,24,45],[1,6,24,46],[1,2,3,4,9,10,11,27,30,32,47],[
1,2,3,4,8,9,10,11,15,25,26,30,31,34,48],[1,2,3,4,5,6,9,10,11,12,13,14,16,28,
29,30,33,35,49],[1,4,5,8,11,13,29,31,32,50],[1,4,6,8,11,14,27,28,31,51],[1,3,
4,5,11,13,15,26,27,29,52],[1,3,4,6,11,14,15,26,28,32,53],[1,7,24,54],[1,2,3,4,
7,8,10,15,23,25,36,55],[1,3,4,7,8,9,15,20,34,36,56],[1,4,7,8,11,21,31,36,57],[
1,2,3,4,5,6,7,10,12,13,14,16,17,18,19,20,21,22,23,33,37,38,39,40,41,42,43,
58],[1,2,5,6,12,24,44,45,46,59],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,25,26,
27,28,29,30,31,32,33,34,35,47,48,49,50,51,52,53,60],[1,6,7,19,24,46,54,61],[1,
5,7,17,24,44,54,62],[1,2,7,23,24,45,54,63],[1,2,3,4,7,8,9,10,11,15,20,21,23,
25,26,30,31,34,36,41,48,55,56,57,64],[1,2,5,6,7,12,17,19,23,24,38,44,45,46,54,
59,61,62,63,65],[1,4,7,8,11,21,24,31,36,54,57,66],[1,4,5,7,8,11,13,17,21,22,
24,29,31,32,36,39,44,50,54,57,62,66,67],[1,2,3,4,7,8,9,10,11,15,20,21,23,24,
25,26,30,31,34,36,41,45,48,54,55,56,57,63,64,66,68],[1,4,6,7,8,11,14,18,19,21,
24,27,28,31,36,40,46,51,54,57,61,66,69],[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],[1,3,1],[1,1,1],[1,1,1,1,1],[1,1,
1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1],[1,3,1,1],[
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1,1,2,1],[1,1,1,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,1,1,1,1,1,1],[1,5,2,1,1],[
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7,1,1],[1,1,1,1],[1,7,1,1],[1,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,2,1,5,1,6,2,1,1,1,
2,1],[1,1,1,1,4,4,1,1,1,4,2,2,4,1,1,1,2,2,1],[1,5,4,2,1,2,1,1,1,1],[1,5,4,2,1,
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4,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,7,7,7,1,1,1,1,1],[1,1,5,5,4,4,2,
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7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,1,9,9,4,4,3,9,3,12,4,4,4,4,3,3,3,6,1,4,3,1,
1,1,1],[1,1,7,7,7,7,7,7,7,1,7,1,1,1,1,1,1,1,1,1],[1,21,28,14,21,28,8,21,14,8,
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21,28,14,21,21,21,42,28,28,28,8,14,21,21,21,42,14,28,8,21,8,14,14,14,8,14,1,
1],[1,21,28,28,14,21,42,28,28,28,8,21,21,21,14,28,8,21,8,14,8,1,1],[1,1,21,21,
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48,84,168,336,336,336,672],
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60,60,65,64,64,64,58,65,60,65,65,65,64,65,70,70,70,70,70],
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66,66,66],
[(  1, 38, 51, 78, 89, 15, 60, 83)(  2, 29, 61, 57, 90, 70, 13, 92)
(  3, 97, 22, 85, 56, 65, 23,100)(  4, 45, 26, 79, 46, 37, 91, 80)
(  5, 54, 95, 40, 94, 58, 12, 30)(  6, 62, 69, 39, 43, 42, 99, 74)
(  7,  9, 67, 48)(  8, 44, 18, 33, 59, 10, 98, 72)( 11, 75, 52, 55, 76, 49,
  64, 28)( 14, 84, 19, 32)( 16, 73)( 17, 63)( 20, 53, 25, 24, 87, 31, 27, 93)
( 34, 47, 86, 68)( 35, 77, 88, 50, 81, 71, 41, 66),(  1, 31, 88, 28, 78, 58,
  66, 75)(  2, 85, 68,100, 90, 23, 47, 22)(  3, 57,  6, 45, 97, 29, 99, 26)
(  4, 48, 46, 42, 79,  9, 80, 62)(  5, 20, 35, 51, 25, 95, 77, 38)
(  7, 13, 21, 61)(  8, 33, 98, 19, 18, 72, 59, 14)( 10, 32, 44, 73)
( 12, 27, 60, 81, 87, 94, 15, 71)( 16, 84)( 17, 24, 64, 40, 63, 30, 52, 93)
( 34, 74, 36, 39)( 37, 43, 92, 56, 91, 69, 70, 65)( 41, 53, 89, 49, 50, 54,
  83, 55)( 67, 86)( 82, 96)],
[[[[]]],[[[1,1,2,1],[2,1,3,1,1,-1,2,-2,3,-1]]],[[[1,2],[2,1,1,1,3,1,2,2,3,
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1,2,-1,3,1,2,1]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,-1,1,2]]],[[[1,1,2,-1,1,2]],[[
1,2],[3,1,1,1,2,-1,3,1,2,1]]],[[[2,1,1,1,2,1,1,-1]],[[1,2,2,-2]]],[[[1,3,2,1,
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1,2]],[[2,1,1,2,2,-2,1,-1]],[[2,2],[3,1,1,-2,3,1]]],[[[2,2,1,-1,2,2]],[[1,1,2,
-1,1,-1,2,-2]],[[2,-4,1,1]]],[[[1,1,2,-1,1,2,2,-1]],[[2,1,1,2,2,2,1,-1]]],[[[
2,2,1,-1,2,2]],[[1,2,2,1,1,1,2,1]]],[[[1,-1,2,1]]],[[[1,1,2,1,1,3]],[[2,1,1,
-1,2,2,1,1]]],[[[1,1,2,-2]],[[1,2,2,1,1,1]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,-1,
1,2]],[[1,2,2,-1,1,-1,2,2]]],[[[1,1,2,-1,1,2]],[[2,1,1,1,2,1,1,2]],[[2,1,1,
1],[2,1,3,1,2,1,3,1]]],[[[1,-1,2,-2]],[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,1,1,1,2,
-1]],[[1,1,2,-1],[2,1,3,-2]]],[[[1,1,2,-1],[3,2,2,-1]],[[2,1,1,1,2,1,1,
2]]],[[[1,-1,2,-2]],[[2,1,1,1,2,2,1,-1]]],[[[2,1,1,1,2,1,1,-1]],[[1,1,2,2,1,
1]]],[[[1,3,2,-1,1,-1,2,-1]],[[2,2,1,2,2,1,1,-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],[2,1,3,1,2,1,3,1]]],[[[2,1,1,1,2,2,
1,-1]],[[1,2],[2,1,3,-2]],[[1,1,2,2,1,2]]],[[[1,-1,2,1]],[[1,2,2,1,1,1,2,
1]]],[[[2,2,1,1]],[[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]]],[[[1,1,2,-1,1,-1,2,-1]],[[2,1,1,-1,2,3]]],[[[1,-1,2,1]],[[1,
1,2,3]]],[[[1,1,2,-1,1,2]],[[1,-1,2,1,1,-1,2,-1]]],[[[1,-1,2,1]],[[2,1,1,
-2]]],[[[2,-2]],[[1,1,2,2,1,1]]],[[[1,1]],[[2,2]]],[[[1,2]],[[2,1,1,1]]],[[[2,
-1]],[[1,2]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "5^2:(4xS3)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,4,6],[1,4,7],[1,2,3,4,8],[1,9],[1,10],[1,2,5,
11],[1,3,5,12],[1,4,5,13],[1,2,3,4,6,7,8,14],[1,3,10,15],[1,2,9,16],[1,2,10,
17],[1,4,10,18],[1,3,9,19],[1,4,9,20],[1,4,5,6,13,21],[1,2,3,4,5,8,11,12,13,
22],[1,4,5,7,13,23],[1,4,6,10,18,24],[1,2,3,4,8,10,15,17,18,25],[1,4,7,10,18,
26],[1,2,3,4,8,9,16,19,20,27],[1,4,6,9,20,28],[1,4,7,9,20,29],[1,2,3,4,5,6,7,
8,11,12,13,14,21,22,23,30],[1,9,10,31],[1,2,3,4,6,7,8,10,14,15,17,18,24,25,26,
32],[1,2,3,4,6,7,8,9,14,16,19,20,27,28,29,33],[1,4,9,10,18,20,31,34],[1,2,9,
10,16,17,31,35],[1,3,9,10,15,19,31,36],[1,5,9,10,31,37],[1,4,6,9,10,18,20,24,
28,31,34,38],[1,4,7,9,10,18,20,26,29,31,34,39],[1,2,3,4,8,9,10,15,16,17,18,19,
20,25,27,31,34,35,36,40],[1,3,5,9,10,12,15,19,31,36,37,41],[1,2,5,9,10,11,16,
17,31,35,37,42],[1,4,5,9,10,13,18,20,31,34,37,43],[1,2,3,4,6,7,8,9,10,14,15,
16,17,18,19,20,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,44],[1,2,3,4,5,8,
9,10,11,12,13,15,16,17,18,19,20,22,25,27,31,34,35,36,37,40,41,42,43,45],[1,4,
5,6,9,10,13,18,20,21,24,28,31,34,37,38,43,46],[1,4,5,7,9,10,13,18,20,23,26,29,
31,34,37,39,43,47],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1,1,1,1],[1,1],[1,1],[1,3,1,
1],[1,3,1,1],[1,1,1,1],[1,1,1,1,1,1,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,
1],[1,1,1,1],[1,5,1,1],[1,1,1,1,1,1],[1,3,3,1,1,3,1,1,1,1],[1,1,1,3,1,1],[1,5,
5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,1,5,5,1,1,1,1,1],[1,5,5,1,1,
1],[1,5,5,1,1,1],[1,3,3,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,3,3,1],[1,1,5,5,5,5,5,1,
5,1,1,1,1,1,1,1],[1,5,1,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,25,3,3,15,15,1,1],[1,5,
3,3,1,5,1,1],[1,5,3,3,1,5,1,1],[1,25,3,3,1,1],[1,25,25,3,3,15,15,15,15,1,1,
1],[1,25,25,3,3,15,15,5,5,1,1,1],[1,5,5,25,25,3,3,1,1,5,15,5,15,5,5,1,1,1,1,
1],[1,15,25,3,3,25,3,15,1,3,1,1],[1,15,25,3,3,25,3,15,1,3,1,1],[1,25,25,3,3,
25,15,15,1,1,1,1],[1,5,5,25,25,25,25,3,3,25,1,1,5,15,5,15,15,5,5,5,15,5,1,5,5,
1,1,1,1,1,1,1],[1,15,15,25,25,75,3,3,25,25,25,3,3,15,15,15,15,25,15,15,1,1,3,
3,1,3,1,1,1,1],[1,25,25,25,3,3,25,15,15,25,15,15,1,1,1,1,1,1],[1,25,25,75,3,3,
25,15,15,25,15,15,1,1,1,3,1,1],[1,15,15,25,25,25,75,75,3,3,25,25,25,75,3,3,15,
15,15,15,25,25,25,15,15,15,15,15,15,25,1,15,15,1,3,3,1,1,3,3,1,1,1,3,1,1,1,
1]],
[1,2,2,2,3,4,4,4,5,5,6,6,6,8,10,10,10,10,10,10,12,12,12,20,20,20,20,20,20,24,
25,40,40,50,50,50,75,100,100,100,150,150,150,200,300,300,300,600],
[48,32,33,30,30,30,14,14,44,44,30,30,30,14,44,44,32,32,33,33,30,30,30,32,32,
32,33,33,33,30,48,32,33,48,44,44,48,48,44,44,48,48,48,44,48,48,48,48],
[1,1,1,1,1,1,1,1,1,1,5,5,1,1,10,9,1,10,1,9,1,5,5,10,10,10,9,9,9,5,1,10,9,31,9,
10,31,31,31,31,37,37,31,31,37,31,37,37],
[(  1,  6, 12,  5)(  2, 95, 84, 87)(  3, 54, 22, 39)(  4, 88, 64, 86)
(  7, 33, 80, 50)(  8, 76, 66, 18)(  9, 41, 37, 45)( 10, 23, 48, 62)
( 11, 42, 47, 83)( 13, 71, 16, 26)( 14, 28, 32, 59)( 15, 91, 69, 21)
( 17, 85, 60, 40)( 19, 97, 70, 51)( 20, 43,100, 25)( 24, 38, 74, 78)
( 27, 75, 58, 34)( 29, 36, 90, 96)( 30, 61, 53, 57)( 31, 65, 89, 63)
( 35, 79, 68, 81)( 44, 55, 49, 46)( 52, 92, 72, 73)( 56, 82, 99, 77)
( 67, 93, 98, 94),(  1, 49, 25, 38, 75, 11, 88, 53, 76, 50, 71, 60)
(  2, 27, 74, 72, 26, 89, 56, 14, 37, 54,  9, 44)(  3, 45, 22, 79, 62, 47, 43,
 91, 65, 13,  7, 29)(  4, 42, 10, 84, 90, 99, 19, 18, 70, 85, 16, 73)
(  5, 40, 67, 86, 52, 15,100, 46, 41, 28, 48, 68)(  6, 61, 64, 93, 21, 92, 78,
 35, 39, 36, 87, 55)(  8, 57, 31, 69, 98, 34, 95, 23, 32, 80, 66, 97)
( 12, 81, 24, 20, 83, 58, 94, 17, 51, 77, 63, 30)( 33, 59, 82, 96)],
[[[[]]],[[[1,1,2,1],[3,1,2,2,1,1,3,1,1,-2,2,1]]],[[[2,1,1,1,2,-2]]],[[[1,1,2,
2,1,1,2,2]]],[[[1,-2,2,1,1,1,2,3,1,1]]],[[[1,-2,2,1,1,-1,2,-1,1,1,2,1]]],[[[1,
1,2,2]]],[[[1,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,-2,3,-2,2,-1]]],[[[2,1,1,1,2,1],[
3,1,1,-2,3,1]]],[[[1,-1,2,-1,1,-1,2,-1]]],[[[1,1,2,1],[3,1,1,-2,2,1,3,2,2,
1]],[[2,1,1,1],[1,-2,3,1,2,-1,1,1,2,1,3,-1,2,-1]]],[[[2,1,1,1],[3,1,2,-1,1,1,
2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,1,-2,3,-1,4,-1]]],[[[1,1,2,1],[3,1,
1,-1,2,-3,3,-2]]],[[[1,-2,2,1,1,1]],[[1,1,2,1],[3,2,2,3]]],[[[1,1,2,-1]],[[1,
-1,2,-1,1,-1,2,-1]]],[[[2,1,1,1,2,1],[3,1,1,-2,3,1]],[[1,1,2,1],[2,1,3,1],[1,
-2,4,1,3,1,4,1]]],[[[2,1,1,1]]],[[[1,-1,2,-1,1,-1,2,-1]],[[1,1,2,2,1,1,2,
2]]],[[[1,-2,2,2,1,1,2,-1]]],[[[1,1,2,2,1,1,2,2]],[[2,1,1,1,2,-1,1,-1,2,
-2]]],[[[1,1,2,3,1,-1,2,-2]]],[[[2,1,1,1],[3,1,2,-1,1,1,2,1,3,-1,2,-1]],[[1,1,
2,1],[3,1,1,-2,2,1,3,2,2,1]]],[[[1,-1]],[[1,1,2,1],[2,1,3,2,2,2,3,1]]],[[[1,
-1,2,-1,1,-1,2,-1]],[[2,1,1,1,2,-1,1,1,2,1]]],[[[2,1,1,1]],[[1,-2]]],[[[1,1,2,
2]],[[1,-1,2,-1,1,-1,2,-1]]],[[[2,1,1,1,2,-2]],[[1,1,2,2,1,1,2,2]],[[1,1,2,
1],[1,-2,3,2]]],[[[1,-1,2,2,1,1,2,-1]],[[1,1,2,2,1,1,2,2]]],[[[1,1,2,2]],[[2,
1,1,1,2,-1,1,-1,2,-2]]],[[[1,-1]],[[1,1,2,3,1,-1,2,-2]]],[[[1,-1,2,-1,1,-1,2,
-1]],[[1,1,2,1,1,1,2,1]]],[[[2,1,1,1]],[[1,1,2,1],[3,3,2,1]]],[[[1,-2,2,-1,1,
-1,2,-1]],[[1,-1,2,3,1,1]]],[[[1,-2]],[[2,1,1,1,2,1,1,1]],[[1,1,2,1,1,1,2,
1]]],[[[1,-1,2,-1]],[[1,1,2,1,1,1,2,1]]],[[[2,1,1,1,2,1,1,1]],[[1,1,2,3]]],[[[
1,-2,2,2]],[[2,1,1,-2,2,1]]],[[[1,-2]],[[2,1,1,-2,2,-1]],[[1,-1,2,3,1,1]]],[[[
1,-2]],[[1,-1,2,2]]],[[[1,1,2,-1]],[[1,-2]],[[1,1,2,1,1,1,2,1]]],[[[1,1,2,
-1]],[[2,3,1,1]]],[[[2,1,1,1]],[[1,1,2,1]]],[[[1,-2]],[[2,2]]],[[[2,1,1,1]],[[
1,-1,2,2]]],[[[1,1,2,-1]],[[2,2]]],[[[2,-1]],[[1,-2]]],[[[1,-1]],[[2,2]]],[[[
1,1]],[[2,1]]]]);


LIBTOM( "2^4:(3xA5)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,3,8],[1,2,9],[1,3,10],[1,2,11],[
1,2,3,12],[1,13],[1,3,6,14],[1,3,4,15],[1,2,5,16],[1,2,3,7,12,17],[1,2,7,9,
18],[1,2,7,11,19],[1,2,11,20],[1,2,3,8,10,12,21],[1,2,3,9,11,12,22],[1,4,5,6,
23],[1,3,13,24],[1,2,4,7,25],[1,2,5,7,26],[1,3,5,8,27],[1,3,6,8,28],[1,3,5,8,
29],[1,2,6,7,30],[1,2,5,7,16,31],[1,3,4,8,15,32],[1,2,6,9,33],[1,3,6,10,34],[
1,4,13,35],[1,2,7,9,18,36],[1,2,3,7,8,10,12,17,21,37],[1,2,7,11,19,38],[1,2,7,
11,19,20,39],[1,2,7,9,11,18,19,40],[1,2,3,7,9,11,12,17,18,19,22,41],[1,2,3,7,
11,12,17,19,42],[1,3,4,5,6,14,15,23,43],[1,2,3,4,7,12,15,17,25,44],[1,2,5,11,
16,20,45],[1,2,3,5,8,10,12,16,21,27,46],[1,2,5,7,9,16,18,26,47],[1,2,3,6,9,11,
12,14,22,33,48],[1,3,4,13,15,24,35,49],[1,2,3,7,8,9,10,11,12,17,18,19,21,22,
37,41,42,50],[1,2,3,7,9,11,12,17,18,19,22,36,40,41,51],[1,2,3,7,9,11,12,17,18,
19,20,22,38,39,40,41,42,52],[1,3,4,5,6,8,15,23,27,28,29,32,53],[1,2,4,5,6,7,
16,23,25,26,30,31,54],[1,2,4,7,9,18,25,36,55],[1,2,3,5,7,8,10,12,17,21,26,29,
37,56],[1,2,6,7,9,18,30,33,36,57],[1,2,3,6,7,8,10,12,17,21,28,30,34,37,58],[1,
2,3,5,7,8,10,12,16,17,21,27,31,37,46,59],[1,2,3,4,7,8,10,12,15,17,21,25,32,37,
44,60],[1,2,5,7,9,16,18,26,31,36,47,61],[1,2,6,7,11,19,30,38,62],[1,2,5,7,11,
16,19,20,31,39,45,63],[1,3,6,8,13,14,24,28,64],[1,3,6,10,13,14,24,34,65],[1,2,
3,7,8,9,10,11,12,17,18,19,20,21,22,36,37,38,39,40,41,42,50,51,52,66],[1,2,7,9,
13,18,36,67],[1,2,3,6,7,9,11,12,14,17,18,19,22,30,33,36,40,41,48,51,57,68],[1,
2,3,4,7,9,11,12,15,17,18,19,22,25,36,40,41,44,51,55,69],[1,2,3,5,7,8,9,10,11,
12,16,17,18,19,21,22,26,29,37,41,42,47,50,56,70],[1,2,4,5,6,7,9,16,18,23,25,
26,30,31,33,36,47,54,55,57,61,71],[1,2,3,4,5,6,7,8,10,12,15,16,17,21,23,25,26,
27,28,29,30,31,32,34,37,44,46,53,54,56,58,59,60,72],[1,2,3,7,9,11,12,13,17,18,
19,22,24,36,40,41,51,67,73],[1,3,4,5,6,8,13,14,15,23,24,27,28,29,32,35,43,49,
53,64,74],[1,2,3,5,7,8,9,10,11,12,16,17,18,19,20,21,22,26,29,31,36,37,38,39,
40,41,42,47,50,51,52,56,61,66,70,75],[1,2,3,6,7,8,9,10,11,12,17,18,19,20,21,
22,28,30,33,34,36,37,38,39,40,41,42,50,51,52,57,58,62,66,76],[1,2,3,4,7,8,9,
10,11,12,15,17,18,19,20,21,22,25,32,36,37,38,39,40,41,42,44,50,51,52,55,60,66,
69,77],[1,2,3,5,7,8,9,10,11,12,16,17,18,19,20,21,22,26,27,31,36,37,38,39,40,
41,42,45,46,47,50,51,52,59,61,63,66,78],[1,2,4,7,9,13,18,25,35,36,55,67,79],[
1,2,3,4,5,6,7,9,11,12,14,15,16,17,18,19,22,23,25,26,30,31,33,36,40,41,43,44,
47,48,51,54,55,57,61,68,69,71,80],[1,2,3,4,7,9,11,12,13,15,17,18,19,22,24,25,
35,36,40,41,44,49,51,55,67,69,73,79,81],[1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,
18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,44,45,46,
47,50,51,52,53,54,55,56,57,58,59,60,61,62,63,66,69,70,71,72,75,76,77,78,82],[
1,2,3,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,24,28,30,33,34,36,37,38,39,40,
41,42,48,50,51,52,57,58,62,64,65,66,67,68,73,76,83],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1],[
1,1,2,1],[1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,4,1,6,1],[1,7,1,6,1],[1,3,1,
2,1],[1,1,3,1],[1,1,6,1,3,3,1],[1,3,2,1,1,1,1],[1,1,2,1,1],[1,5,1,1],[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],[1,3,4,1,1],[1,3,1,1,3,1],[
1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,1,1],[1,15,5,30,15,1],[1,3,12,1,4,
12,18,3,12,1],[1,3,1,6,3,1],[1,3,1,6,3,4,1],[1,7,1,6,4,1,2,1],[1,7,4,1,6,2,6,
1,1,1,4,1],[1,3,4,1,4,6,1,2,1],[1,3,1,2,1,1,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,1,
4,3,4,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,7,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,5,1,1,5,1,1,1],[1,7,12,1,4,6,12,6,18,3,1,3,12,12,1,3,3,1],[1,15,4,5,30,
6,6,1,15,3,12,1,3,3,1],[1,7,4,1,6,10,6,1,1,5,4,4,1,1,2,1,2,1],[1,3,1,8,4,1,3,
4,1,1,1,1,1],[1,3,4,5,4,1,3,4,1,1,1,1,1],[1,15,16,5,30,15,20,1,1],[1,3,12,16,
1,4,12,18,3,12,4,16,1,1],[1,15,16,5,30,15,8,12,1,1],[1,3,12,16,1,4,12,18,3,12,
4,4,12,1,1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,3,12,4,1,4,12,18,12,3,
12,1,4,1,3,1],[1,15,4,5,30,12,15,1,4,1,3,1],[1,3,16,1,6,3,4,1,1],[1,3,4,1,6,
12,3,4,4,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,12,5,4,30,
12,18,18,3,15,9,12,12,36,1,1,3,3,9,9,9,3,3,9,1],[1,15,5,30,16,15,1,1],[1,15,
12,16,5,30,18,18,16,3,15,9,36,8,12,1,9,9,12,3,1,1],[1,15,4,16,5,30,6,6,16,1,
15,3,12,20,1,3,3,4,1,1,1],[1,7,12,16,1,4,6,12,6,18,16,3,1,3,12,12,4,16,1,3,3,
4,1,1,1],[1,15,16,8,16,5,30,24,15,16,20,2,8,8,12,1,6,8,1,1,2,1],[1,3,12,4,20,
16,1,4,12,18,12,12,3,12,16,1,4,1,4,16,4,4,4,12,1,3,3,4,4,1,1,1,1,1],[1,15,20,
5,30,30,30,16,5,15,15,60,16,1,15,15,5,1,1],[1,15,1,20,10,5,6,10,15,10,6,5,5,5,
5,6,10,6,5,1,1],[1,15,12,16,5,4,30,12,18,18,48,3,15,9,12,12,36,4,16,16,1,1,3,
3,9,9,9,12,3,3,9,1,4,1,3,1],[1,15,12,64,5,4,30,12,18,18,3,15,9,12,12,36,16,32,
48,48,1,1,3,3,9,9,9,3,3,9,4,4,12,1,1],[1,15,12,16,5,4,30,12,18,18,48,3,15,9,
12,12,36,20,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,1],[1,15,12,16,5,4,30,12,18,18,
48,3,15,9,12,12,36,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,15,16,5,
30,16,15,20,16,1,1,1,1],[1,15,12,16,8,16,5,30,18,18,16,48,24,3,15,9,36,16,20,
2,8,8,12,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,15,20,16,5,30,30,30,16,80,5,
15,15,60,16,20,16,1,15,15,20,16,5,1,1,5,1,1,1],[1,15,12,16,32,64,5,4,30,12,18,
18,48,96,3,15,9,12,12,36,64,20,8,4,16,16,32,32,16,48,48,1,1,3,3,9,9,9,12,12,
12,24,3,3,9,16,32,1,1,4,4,4,4,8,12,12,1,3,3,4,4,1,1,1,1,1],[1,15,60,160,5,20,
30,60,90,90,96,160,15,15,45,60,60,180,96,80,80,120,240,1,5,15,15,45,45,45,120,
15,15,45,10,20,60,16,48,5,6,10,6,5,1],[1,15,60,16,80,160,5,20,30,60,90,90,96,
160,240,240,15,15,45,60,60,180,160,96,20,20,20,80,80,80,80,80,120,240,96,1,5,
15,15,45,45,45,160,60,60,60,60,120,96,15,15,45,80,80,1,5,10,20,20,20,20,60,60,
16,48,5,6,10,15,15,10,20,6,16,5,5,5,5,6,10,6,5,1,1]],
[1,2,2,3,3,3,4,4,4,4,4,4,5,6,6,6,8,8,8,8,8,8,9,10,12,12,12,12,12,12,12,12,12,
12,15,16,16,16,16,16,16,16,18,24,24,24,24,24,30,32,32,32,36,36,48,48,48,48,48,
48,48,48,48,60,60,64,80,96,96,96,144,144,160,180,192,192,192,192,240,288,480,
576,960,2880],
[84,78,60,74,54,43,82,72,68,58,52,50,49,43,32,31,77,75,66,63,59,41,43,49,72,
71,72,53,53,54,54,53,48,34,49,84,82,76,78,66,66,66,43,60,63,59,61,48,49,75,77,
66,53,54,84,82,80,72,72,72,71,62,63,74,65,82,81,80,77,75,80,72,81,74,82,82,82,
82,81,80,81,82,84,84],
[1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,1,1,1,1,2,1,2,1,13,7,7,8,8,8,7,1,1,9,10,1,1,1,
1,2,2,2,2,6,7,20,8,7,33,13,7,7,7,8,7,36,37,36,37,8,7,7,38,20,64,65,7,36,57,36,
37,36,37,67,64,37,66,36,66,36,57,67,66,83,83],
[( 1, 2, 4)( 3, 6,11)( 5, 9,14)( 7,12,17)( 8,13,18)(10,15,20)(16,22,27)
(19,25,29)(21,24,26)(23,28,30),( 1, 3, 7)( 2, 5,10)( 4, 8,12)(11,16,23)
(14,19,18)(15,21,25)(17,24,28)(20,26,22)],
[[[[]]],[[[1,-1],[2,1,1,-1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,-1],[3,1,2,1,1,1,2,
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2,1,1,-1,2,-1]]],[[[2,-1,1,1,2,-1,1,-1,2,-1]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,
4,1,3,1,4,1]],[[1,-1],[2,1,1,-1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,-1],[3,1,2,1,1,
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1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,-1],[2,1,1,-1,2,-1],[4,1,3,1,4,1,3,
1]]],[[[1,-1],[1,1,2,1],[3,1,4,-1,2,1,4,1,3,1,4,-1]],[[1,1,2,1],[2,1,1,-1,2,1,
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1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,
1]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,-1,2,-1,1,-1]],[[1,
-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,-1],[1,1,2,1],[3,1,4,-2,2,-1,3,
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-1,2,1,3,2]],[[1,-1],[1,1,2,1],[3,1,2,1,1,-1,2,1,4,2,3,-1,4,-1]],[[1,-1],[1,1,
2,1],[2,1,1,-1,2,1,3,1,2,1,4,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,
3,1]],[[1,-1],[3,1,2,1,1,1,2,1,3,1,2,-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],[3,1,2,1,1,
1,2,1,3,1,2,-1,1,1,2,-1]]],[[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]],[[1,-1],[
2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[2,-1,1,1,2,1,1,-1,2,1]],[[1,-1],[2,1,1,
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3,1]]],[[[1,-1,2,1,1,1]],[[2,-1,1,-1,2,1,1,1,2,1]]],[[[1,1,2,1],[1,-1,2,-1,3,
1,1,1,2,-1,3,1]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,-1],[3,1,2,
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1,1,2,-1]],[[1,1,2,1],[1,-1,3,-1,2,1,1,-1,2,-1,3,1]]],[[[2,1,1,-1,2,1],[3,1,1,
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1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[2,1,1,1,2,-1,1,-1,2,-1,1,-1,2,1,1,-1]]],[[[
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1,4,1,3,1]],[[1,-1],[1,1,2,1],[2,1,4,1,3,1,2,-1,3,-1,4,-1]]],[[[1,-1],[3,1,2,
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1,4,1,3,-1]]],[[[1,1,2,1],[1,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[1,-1,2,1,3,1,2,1,
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1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,-1],[3,1,2,-1,1,1,2,-1,1,1,2,-1,3,
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4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,
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1],[3,1,4,-2,2,-1,3,-1]],[[1,-1],[1,1,2,1],[2,1,4,1,3,1,2,-1,3,-1,4,-1]]],[[[
1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,-1,2,-1,3,1,1,
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4,1,3,1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,-1,1,-1]],[[1,1,
2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,-1],[3,1,2,1,1,-1,2,1,1,1,2,-1,3,
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1],[1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[1,-1,2,1,1,1,2,-1,1,1]],[[2,1,1,-1,2,1],[
3,1,1,-1,3,-1]],[[2,-1,1,-1,2,1,1,-1,2,-1,1,1,2,1]]],[[[1,1,2,1],[3,2,1,1,2,
-1,3,1]],[[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]],[[1,-1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,-1],[3,1,2,1,1,-1,2,1,3,-1,2,-1,1,
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1,2,1],[1,-1,2,-1,3,1,1,1,2,-1,3,1]]],[[[2,1,1,-1,2,-1,1,-1]],[[2,-1,1,1,2,1,
1,-1,2,1,1,1]]],[[[1,1,2,1,1,1,2,-1,1,1]],[[1,-1],[2,1,1,1,2,1],[4,1,3,1,4,-1,
3,-1]]],[[[2,-1,1,1,2,-1,1,1,2,-1,1,1]],[[1,1,2,1],[2,-1,3,1,1,1,2,-1,3,
1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,
4,1,3,1]],[[1,1,2,1],[2,1,1,-1,2,1,1,1,3,-2]],[[1,-1],[1,1,2,1],[3,1,4,-2,2,
-1,3,-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]]],[[[2,1,1,1,2,-1,1,1]],[[2,-1,1,1,2,-1,1,-1,2,-1]]],[[[2,-1,1,1,2,1,1,-1,
2,-1]],[[2,1,1,1],[2,1,3,-1,1,1,3,1]]],[[[1,1,2,1],[3,1,1,-1,2,-1,1,1,3,
-1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,1,1]]],[[[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,-1,1,1,2,1,1,-1]]],[[[1,-1,2,1,1,1]],[[2,1,1,1,2,-1,1,-1,2,
-1]]],[[[1,1,2,-1],[3,1,1,1,2,1,3,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,2]],[[1,
1,2,1],[3,1,1,-1,2,-1,1,1,3,-1]]],[[[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]]],[[[2,1,1,1,2,1,1,-1]],[[2,-1,1,-1,2,1,1,1,2,
-1,1,1]]],[[[1,1,2,-1,1,-1]],[[2,1,1,1,2,1,1,-1,2,-1]],[[2,-1,1,-1,2,1,1,-1,2,
-1,1,1]]],[[[1,-1,2,1]],[[1,1,2,-1,1,1,2,-1,1,-1]]],[[[1,1,2,1,1,-1]],[[1,-1,
2,1,1,-1,2,-1]]],[[[1,-1,2,1]],[[2,1,1,-1,2,-1,1,-1]]],[[[1,1,2,-1,1,-1]],[[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,
1]],[[2,1]]]]);


LIBTOM( "(3xA6):2_2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,2,7],[1,2,8],[1,2,3,9],[1,10],[1,3,4,
11],[1,2,4,12],[1,2,5,13],[1,2,7,8,14],[1,2,3,8,9,15],[1,2,8,16],[1,5,17],[1,
4,5,6,18],[1,5,6,19],[1,2,10,20],[1,3,10,21],[1,3,10,22],[1,2,4,7,12,23],[1,2,
5,7,24],[1,2,4,8,12,25],[1,2,6,7,26],[1,2,3,4,9,11,12,27],[1,4,10,28],[1,2,3,
7,8,9,14,15,16,29],[1,2,5,13,17,30],[1,2,4,5,6,12,13,18,31],[1,2,3,9,10,20,21,
22,32],[1,2,5,7,8,13,14,24,33],[1,2,4,8,12,16,25,34],[1,2,4,7,8,12,14,23,25,
35],[1,2,3,4,8,9,11,12,15,25,27,36],[1,4,5,6,17,18,19,37],[1,3,4,10,11,22,28,
38],[1,2,4,10,12,20,28,39],[1,3,4,10,11,21,28,40],[1,2,5,8,13,17,30,41],[1,2,
4,5,6,7,12,18,23,24,26,42],[1,2,3,4,7,8,9,11,12,14,15,16,23,25,27,29,34,35,36,
43],[1,2,4,5,6,12,13,17,18,19,30,31,37,44],[1,2,5,7,10,13,20,24,45],[1,2,3,4,
9,10,11,12,20,21,22,27,28,32,38,39,40,46],[1,2,4,5,6,7,8,12,13,14,18,23,24,25,
26,31,33,35,42,47],[1,2,5,8,13,16,17,30,41,48],[1,2,4,5,6,8,12,13,17,18,19,25,
30,31,37,41,44,49],[1,2,4,5,6,7,10,12,13,18,20,23,24,26,28,31,39,42,45,50],[1,
2,4,5,6,8,12,13,16,17,18,19,25,30,31,34,37,41,44,48,49,51],[1,2,5,7,8,10,13,
14,17,20,24,30,33,41,45,52],[1,2,3,5,7,8,9,10,13,14,15,16,17,20,21,22,24,29,
30,32,33,41,45,48,52,53],[1,2,4,5,6,7,8,10,12,13,14,17,18,19,20,23,24,25,26,
28,30,31,33,35,37,39,41,42,44,45,47,49,50,52,54],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,2,1],[1,1],[1,3,1,
1],[1,1,1,1],[1,3,1,1],[1,5,2,1,1],[1,1,4,1,2,1],[1,1,1,1],[1,4,1],[1,1,1,2,
1],[1,1,3,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,1,1,1,
1,1],[1,3,4,1,1],[1,1,6,1,3,2,1,1],[1,1,1,1],[1,5,4,2,1,2,1,1,1,1],[1,9,4,12,
1,1],[1,3,1,1,2,3,1,1,1],[1,5,6,5,1,1,1,1,1],[1,9,4,4,3,4,3,1,1],[1,1,1,1,1,3,
1,1],[1,5,1,2,1,5,1,2,1,1],[1,1,12,1,1,6,4,1,3,1,2,1],[1,1,4,8,1,4,8,1],[1,15,
1,1,5,3,1,1],[1,5,1,1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,9,4,9,12,1,1,1],[1,3,1,4,
8,1,3,4,1,1,2,1],[1,5,12,1,2,1,6,4,5,1,3,3,2,1,2,3,1,1,1,1],[1,9,1,4,8,9,12,1,
4,8,1,12,1,1],[1,15,10,5,6,10,6,5,1],[1,5,18,1,15,1,6,5,1,3,3,5,1,3,1,1,1,1],[
1,9,1,4,8,4,3,9,4,3,4,4,1,3,2,4,1,3,1,1],[1,9,4,9,12,9,1,1,1,1],[1,9,1,4,8,9,
9,12,1,4,8,9,1,12,1,1,1,1],[1,15,1,10,20,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[
1,9,1,4,8,9,9,12,27,1,4,8,9,1,12,9,1,1,1,3,1,1],[1,45,40,30,45,36,120,45,10,
36,30,10,30,10,12,1],[1,45,36,40,30,45,90,36,120,45,45,45,10,36,36,36,30,45,
10,36,30,10,12,10,1,1],[1,45,1,40,80,30,45,36,45,120,45,10,40,80,36,30,30,45,
60,36,10,120,30,45,10,36,10,30,10,12,30,10,12,1,1],[1,45,108,1,40,80,30,45,
270,36,36,45,120,45,135,135,10,40,80,36,108,108,30,30,45,60,90,36,135,10,120,
108,30,45,45,45,10,36,36,36,10,30,45,10,12,36,30,30,10,12,10,1,3,1,1]],
[1,2,2,3,3,3,4,4,4,5,6,6,6,8,8,8,9,9,9,10,10,10,12,12,12,12,12,15,16,18,18,20,
24,24,24,24,27,30,30,30,36,36,48,54,60,60,72,72,108,180,216,360,720,1080,
2160],
[55,43,32,55,44,37,47,43,15,46,46,43,31,43,29,29,51,44,37,46,32,32,47,47,43,
42,36,46,29,51,31,32,47,43,43,43,51,46,46,46,51,47,43,51,50,46,47,48,51,50,51,
55,53,55,55],
[1,1,1,1,1,1,1,1,1,1,4,1,5,2,2,1,1,1,1,10,1,10,1,7,1,7,4,1,8,17,5,10,24,4,2,
12,1,28,10,4,17,7,25,17,45,28,24,17,17,45,37,52,52,52,54],
[( 1,12)( 2,13)( 3, 9)( 4, 5)( 6,14)( 7,15)( 8,16)(10,17)(11,18)(19,22)(20,23)
(21,24)(25,28)(26,29)(27,30),( 1, 5,13)( 2,19, 6)( 3,16, 9)( 4,12,15)
( 7,21,11)( 8,20,10)(14,17,18)(22,29,25)(23,28,26)(24,30,27)],
[[[[]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,2,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1],[6,1,5,1,3,2,4,1,6,1,4,2,3,
-1,5,-1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[5,1,3,1,1,1,4,1,6,-1,
5,1,3,2,4,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,4,-1,3,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[3,1,4,-2,5,1,2,-1,5,1,3,2,4,-1]]],[[[1,1,2,-1,1,1,2,-1]]],[[[
1,1,2,1],[1,1,2,-1],[4,2,3,2,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,1,
4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,-1,3,1,4,-1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,2,4,2,3,-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],[1,1,2,-1,3,2,1,1,2,-1],[2,-1,4,2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-2,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,3,1,4,
-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,4,-2,1,1,3,-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],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[2,1,1,1],[2,1,3,-2,1,1,2,
-1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1,5,1,4,-1,1,1,3,-1,4,
1,2,1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,-1],[5,1,3,1,1,1,4,1,
6,-1,5,1,3,2,4,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,1,1,2,-1,3,2,4,
1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2],[5,1,6,1,4,2,6,-1,5,-1,2,
-1]]],[[[2,1,1,1],[1,1,2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
-2,3,1,4,-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,
1,1,2,1,3,1]]],[[[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]],[[2,1,1,1],[2,-1,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,2,3,-1,5,-1,4,1,
3,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,3,-1,4,1,5,-1,2,-1,4,-1,1,1,3,-1,5,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1],[1,1,2,1,1,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[
1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[2,-1,1,1,2,-1,1,1,2,-1]]],[[[2,1,
1,1],[1,1,2,-1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,-1,3,1,4,
-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
2,-1,5,1,4,-1,1,1,3,-1,4,1,2,1,4,-1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[2,-1],[5,1,3,1,1,1,4,1,6,-1,5,1,3,2,4,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,1,4,-2]]],[[[2,1,1,
1],[3,1,2,-1,1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,1,4,-1,3,
1]]],[[[2,-1,1,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,1,1,3,-1,2,1,1,
1]]],[[[2,1,1,1],[2,1,3,-2,1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,
1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,2,1,3,2,4,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,1,1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,1],[2,-1,3,1,1,1,2,-1,1,1,2,
-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,4,1,2,-1,4,-1,3,1,4,-1]]],[[[2,-1,1,1,2,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,
1],[3,2,1,1,2,-1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,2,
1,4,-1,3,1]]],[[[2,-1,1,1,2,-1,1,1,2,-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,-1,3,1,1,1,2,-1,3,2]],[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-2]],[[1,1,2,
1],[2,-1,1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1]],[[2,1,1,1],[2,1,3,-2,1,1,2,-1,1,1,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,3,-1,4,1,2,-1,4,-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],[4,2,3,-2,2,-1]],[[1,1,2,
1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,1,1,3,-1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,
2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,2,2,-1,3,-1]]],[[[2,-1,1,1,2,1]],[[
2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,2,3,1,4,1,3,1,1,1,2,1,1,1]]],[[[2,-1,
1,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,1,1,1,2,1,1,1]]],[[[1,1,2,
-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,2]]],[[[2,-1,1,1,2,-1,1,1]],[[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],[3,1,1,
1,2,1,1,1,2,1,3,1]]],[[[2,-1,1,1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,3,-2,2,
-1]]],[[[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]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "3^2.3^(1+2):8",
[[1],[1,2],[1,3],[1,4],[1,2,5],[1,2,4,6],[1,2,3,7],[1,2,5,8],[1,3,9],[1,3,4,
10],[1,3,11],[1,2,4,5,6,12],[1,2,3,7,9,13],[1,2,3,7,11,14],[1,2,3,4,6,7,10,
15],[1,2,4,5,6,8,12,16],[1,3,4,9,10,17],[1,3,9,11,18],[1,2,3,5,7,9,13,19],[1,
2,3,4,6,7,9,10,13,15,17,20],[1,2,3,7,9,11,13,14,18,21],[1,2,3,5,7,8,9,13,19,
22],[1,3,4,9,10,11,17,18,23],[1,2,3,4,5,6,7,9,10,12,13,15,17,19,20,24],[1,2,3,
4,6,7,9,10,11,13,14,15,17,18,20,21,23,25],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,
17,19,20,22,24,26],[1,3,4,9,10,11,17,18,23,27],[1,2,3,4,6,7,9,10,11,13,14,15,
17,18,20,21,23,25,27,28],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,23,
24,25,27,28,29],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,4,1],[1,1,3,
1],[1,1,1],[1,1,1,1,1,1],[1,9,4,12,1,1],[1,9,1,3,1,1],[1,3,1,3,3,1,1,1],[1,1,
1,1,1,3,1,1],[1,4,9,1,12,1],[1,4,1,3,1],[1,9,4,9,12,1,1,1],[1,9,4,9,9,12,1,12,
1,12,1,1],[1,27,4,36,1,3,3,9,1,1],[1,9,4,9,12,9,1,1,1,1],[1,4,9,1,12,9,1,3,
1],[1,9,4,9,9,9,12,1,12,9,1,12,1,1,1,1],[1,27,4,9,27,36,1,12,9,3,9,36,1,3,3,1,
1,1],[1,9,4,9,9,9,12,27,1,12,9,1,12,9,1,1,1,3,1,1],[1,4,9,1,12,36,1,12,4,1],[
1,81,4,9,81,108,1,12,36,9,108,108,1,12,9,12,4,12,1,1],[1,81,4,9,81,81,108,1,
12,36,81,9,108,108,1,12,9,9,12,4,9,12,1,1,1],[1,81,4,9,81,81,108,243,1,12,36,
81,9,108,108,81,1,12,9,9,12,27,4,9,12,9,1,1,1,1]],
[1,2,3,3,4,6,6,8,9,9,9,12,18,18,18,24,27,27,36,54,54,72,81,108,162,216,243,
486,972,1944],
[30,16,28,26,16,16,15,8,30,25,21,16,26,14,15,16,30,25,26,26,25,22,28,26,25,26,
30,30,30,30],
[1,1,1,1,1,1,3,1,1,1,1,1,9,11,3,4,1,1,9,9,18,9,3,9,18,17,17,27,27,27],
[( 1, 7)( 2, 8)( 3, 9)( 4,10)( 5,11)( 6,12)(13,24)(14,25)(16,17)(18,26)(19,32)
(20,33)(21,30)(22,34)(23,35)(27,41)(28,42)(29,43)(31,44)(36,52)(37,53)(38,54)
(39,51)(40,47)(45,60)(46,61)(48,62)(49,59)(50,66)(55,70)(56,57)(58,72)(63,65)
(64,76)(67,69)(68,71)(73,80)(74,81)(75,77)(78,79),( 1,22,10,77,63,45,27,13)
( 2,43,46,28,15, 3,25,14)( 4,58,41,38,23,11,29,16)( 5,59,44,53,64,47,30,17)
( 6,75,62,76,65,48,31,18)( 7,54,37,20, 8,55,36,19)( 9,34,57,40,26,50,33,21)
(24,69,52,42,79,71,56,39)(32,73,60,80,81,78,67,49)(35,74,61,66,72,70,68,51)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[1,1,2,1],[3,2,2,1,
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-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,3,4,1]]],[[[1,1,2,1],[3,1,2,1,1,
1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,-4,1,1]],[[2,1,1,1,
2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[3,1,
2,1,1,1,2,1,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,-4,1,
1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,
1]],[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,
2]],[[2,1,1,1],[3,1,2,3,3,-1,1,1,2,1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,2,
-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,1,3,1]],[[2,2],[3,1,1,1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,-1,3,2,2,1]]],[[[1,1,2,-4,1,1]],[[1,1,2,
1],[2,2,3,2]],[[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],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,
-1,1,1]],[[1,1,2,1],[2,-1,3,2,2,1]]],[[[1,1,2,-4]],[[1,1,2,1],[3,1,2,1,1,1,2,
1,3,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,2,3,2]]],[[[1,1]],[[1,1,2,1],[2,2,3,
2]]],[[[1,1,2,-1,1,1]],[[1,1,2,1],[2,2,3,2]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,
-1,1,1,2,1]]],[[[1,1]],[[2,1,1,1,2,-1]],[[2,-1,1,1,2,1]]],[[[1,1]],[[2,
2]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "2^4:(3xA5).2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,3,9],[1,2,10],[1,3,11],[1,
2,3,12],[1,2,13],[1,2,14],[1,2,4,15],[1,3,4,16],[1,3,17],[1,18],[1,4,5,19],[1,
3,7,20],[1,2,6,21],[1,3,5,22],[1,4,7,23],[1,4,7,24],[1,4,6,25],[1,2,8,10,26],[
1,2,3,8,12,27],[1,2,4,10,15,28],[1,2,8,13,29],[1,2,13,30],[1,2,3,9,11,12,31],[
1,2,3,4,12,15,16,32],[1,2,10,14,33],[1,2,3,12,14,34],[1,2,13,14,35],[1,2,4,13,
15,36],[1,2,3,4,12,14,15,37],[1,2,4,13,14,15,38],[1,2,4,8,14,15,39],[1,2,3,10,
12,13,40],[1,2,3,12,17,41],[1,2,13,42],[1,2,4,10,14,15,43],[1,3,4,9,16,17,
44],[1,3,4,11,16,17,45],[1,5,6,7,46],[1,3,18,47],[1,2,5,8,48],[1,3,6,9,49],[1,
2,6,8,50],[1,3,5,9,22,51],[1,2,7,8,52],[1,3,7,9,53],[1,2,6,8,21,54],[1,3,6,9,
55],[1,2,7,10,56],[1,3,7,11,57],[1,2,4,6,15,21,25,58],[1,3,5,17,22,59],[1,3,4,
5,16,19,22,60],[1,2,6,14,21,61],[1,3,4,7,16,20,23,24,62],[1,5,18,63],[1,2,8,
10,26,64],[1,2,3,8,9,11,12,27,31,65],[1,2,8,13,29,66],[1,2,8,13,29,30,67],[1,
2,8,10,13,26,29,68],[1,2,3,8,10,12,13,26,27,29,40,69],[1,2,3,8,12,13,27,29,
70],[1,2,4,8,10,14,15,26,28,33,39,43,71],[1,2,3,8,12,17,27,41,72],[1,2,3,4,8,
12,14,15,16,27,32,34,37,39,73],[1,2,8,13,29,42,74],[1,2,4,8,13,14,15,29,35,36,
38,39,75],[1,2,8,10,14,26,33,76],[1,2,13,14,30,35,42,77],[1,2,3,4,10,12,13,14,
15,16,28,32,36,37,38,40,43,78],[1,2,3,9,11,12,14,17,31,34,41,79],[1,2,3,4,10,
12,13,14,15,33,34,35,37,38,40,43,80],[1,2,4,13,15,30,36,42,81],[1,2,3,4,9,11,
12,15,16,17,31,32,41,44,45,82],[1,4,5,6,7,19,24,46,83],[1,4,5,6,7,19,23,25,46,
84],[1,3,5,6,7,20,22,46,85],[1,3,17,18,47,86],[1,2,6,8,10,21,26,50,87],[1,2,3,
6,9,11,12,21,31,49,88],[1,2,6,13,21,30,89],[1,2,3,5,8,12,22,27,48,90],[1,2,3,
7,10,12,13,20,40,56,91],[1,2,4,7,10,14,15,23,43,56,92],[1,2,4,6,8,14,15,25,39,
50,93],[1,2,4,5,8,14,15,19,39,48,94],[1,2,4,7,10,15,24,28,56,95],[1,3,4,6,9,
16,17,25,44,49,96],[1,2,4,6,8,14,15,21,25,39,54,58,61,97],[1,3,4,6,9,16,17,25,
44,55,98],[1,3,4,7,11,16,17,23,45,57,99],[1,3,4,7,9,16,17,23,44,53,100],[1,2,
4,7,8,14,15,23,39,52,101],[1,3,4,5,9,16,17,19,22,44,51,59,60,102],[1,3,5,18,
22,47,63,103],[1,2,3,8,9,10,11,12,13,26,27,29,31,40,65,69,70,104],[1,2,3,8,10,
12,13,26,27,29,40,64,68,69,105],[1,2,4,8,10,14,15,26,28,33,39,43,64,71,76,
106],[1,2,3,8,10,12,13,17,26,27,29,40,41,69,72,107],[1,2,3,4,8,10,12,13,14,15,
16,26,27,28,29,32,33,34,35,36,37,38,39,40,43,69,71,73,75,78,80,108],[1,2,3,8,
10,12,13,26,27,29,30,40,66,67,68,69,70,109],[1,2,3,8,10,12,13,26,27,29,40,42,
69,74,110],[1,2,3,8,10,12,13,14,26,27,29,33,40,69,76,111],[1,2,4,8,10,13,14,
15,26,28,29,33,39,43,68,71,76,112],[1,2,3,4,8,12,13,14,15,16,17,27,29,32,34,
37,39,41,70,72,73,113],[1,2,4,8,13,14,15,29,30,35,36,38,39,42,67,74,75,77,81,
114],[1,2,4,8,13,14,15,29,35,36,38,39,42,66,74,75,115],[1,2,3,4,8,9,11,12,14,
15,16,17,27,31,32,34,37,39,41,44,45,65,72,73,79,82,116],[1,3,5,6,7,9,22,46,49,
51,53,55,117],[1,2,5,6,7,8,21,46,48,50,52,54,118],[1,3,4,5,6,7,16,19,20,22,23,
24,25,46,60,62,83,84,85,119],[1,2,5,8,10,26,48,64,120],[1,2,3,6,8,9,11,12,27,
31,50,55,65,121],[1,2,7,8,10,26,52,56,64,122],[1,2,3,6,8,9,11,12,21,27,31,49,
54,65,88,123],[1,2,3,5,8,9,11,12,22,27,31,48,51,65,90,124],[1,2,6,8,10,21,26,
50,54,64,87,125],[1,2,3,7,8,9,11,12,27,31,52,53,57,65,126],[1,2,4,6,8,10,14,
15,21,25,26,28,33,39,43,50,58,71,87,93,127],[1,2,3,4,6,9,11,12,15,16,17,21,25,
31,32,41,44,45,49,58,82,88,96,128],[1,2,3,5,8,12,17,22,27,41,48,59,72,90,
129],[1,2,4,6,13,15,21,25,30,36,42,58,81,89,130],[1,2,3,4,5,8,12,14,15,16,19,
22,27,32,34,37,39,48,60,73,90,94,131],[1,2,6,8,10,14,21,26,33,50,61,76,87,
132],[1,2,3,6,9,11,12,14,17,21,31,34,41,49,61,79,88,133],[1,2,6,13,14,21,30,
35,42,61,77,89,134],[1,2,6,8,13,21,29,30,54,67,89,135],[1,2,7,8,13,29,52,66,
136],[1,2,3,4,7,10,12,13,14,15,16,20,23,24,28,32,36,37,38,40,43,56,62,78,91,
92,95,137],[1,3,7,9,18,20,47,53,138],[1,3,7,11,18,20,47,57,139],[1,3,5,17,18,
22,47,59,63,86,103,140],[1,2,3,8,9,10,11,12,13,26,27,29,30,31,40,64,65,66,67,
68,69,70,104,105,109,141],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,26,27,28,29,31,
32,33,34,35,36,37,38,39,40,41,43,44,45,65,69,70,71,72,73,75,78,79,80,82,104,
107,108,113,116,142],[1,2,3,8,10,12,13,17,26,27,29,40,41,42,64,68,69,72,74,
105,107,110,143],[1,2,3,4,8,10,12,13,14,15,16,26,27,28,29,30,32,33,34,35,36,
37,38,39,40,42,43,66,67,68,69,70,71,73,74,75,77,78,80,81,108,109,110,114,115,
144],[1,2,3,4,8,10,12,13,14,15,16,26,27,28,29,32,33,34,35,36,37,38,39,40,43,
64,68,69,71,73,75,76,78,80,105,106,108,111,112,145],[1,2,3,8,10,12,13,14,17,
26,27,29,30,33,40,41,66,67,68,69,70,72,76,107,109,111,146],[1,2,3,8,9,10,11,
12,13,14,26,27,29,31,33,40,42,65,69,70,74,76,104,110,111,147],[1,3,4,5,6,7,9,
16,17,19,22,23,25,44,46,49,51,53,55,59,60,84,96,98,100,102,117,148],[1,2,4,5,
6,7,8,14,15,19,21,23,25,39,46,48,50,52,54,58,61,84,93,94,97,101,118,149],[1,2,
8,10,18,26,64,150],[1,2,3,7,8,10,12,13,20,26,27,29,40,52,56,64,68,69,91,105,
122,151],[1,2,4,5,8,10,14,15,19,26,28,33,39,43,48,64,71,76,94,106,120,152],[1,
2,3,5,8,10,12,13,22,26,27,29,40,48,64,68,69,90,105,120,153],[1,2,3,6,8,9,10,
11,12,13,21,26,27,29,31,40,50,55,65,69,70,87,104,121,154],[1,2,4,7,8,10,14,15,
24,26,28,33,39,43,52,56,64,71,76,95,106,122,155],[1,2,4,7,8,10,14,15,23,26,28,
33,39,43,52,56,64,71,76,92,101,106,122,156],[1,2,3,4,6,8,9,11,12,14,15,16,17,
25,27,31,32,34,37,39,41,44,45,50,55,65,72,73,79,82,93,98,116,121,157],[1,2,3,
4,6,8,9,11,12,14,15,16,17,21,25,27,31,32,34,37,39,41,44,45,49,54,58,61,65,72,
73,79,82,88,96,97,116,123,128,133,158],[1,2,4,6,8,10,14,15,21,25,26,28,33,39,
43,50,54,58,61,64,71,76,87,93,97,106,125,127,132,159],[1,2,4,7,8,13,14,15,23,
29,35,36,38,39,42,52,66,74,75,101,115,136,160],[1,2,3,4,7,8,9,11,12,14,15,16,
17,23,27,31,32,34,37,39,41,44,45,52,53,57,65,72,73,79,82,99,100,101,116,126,
161],[1,2,4,6,8,13,14,15,21,25,29,30,35,36,38,39,42,54,58,61,67,74,75,77,81,
89,97,114,130,134,135,162],[1,2,3,4,5,8,9,11,12,14,15,16,17,19,22,27,31,32,34,
37,39,41,44,45,48,51,59,60,65,72,73,79,82,90,94,102,116,124,129,131,163],[1,3,
4,7,11,16,17,18,20,23,24,45,47,57,62,86,99,139,164],[1,3,4,7,9,16,17,18,20,23,
24,44,47,53,62,86,100,138,165],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,104,105,106,107,108,109,110,111,112,113,114,115,
116,141,142,143,144,145,146,147,166],[1,2,5,6,7,8,10,21,26,46,48,50,52,54,56,
64,87,118,120,122,125,167],[1,2,3,5,6,7,8,9,11,12,21,22,27,31,46,48,49,50,51,
52,53,54,55,57,65,88,90,117,118,121,123,124,126,168],[1,2,3,8,10,12,13,18,26,
27,29,40,47,64,68,69,105,150,169],[1,3,5,6,7,9,18,20,22,46,47,49,51,53,55,63,
85,103,117,138,170],[1,2,3,6,8,9,10,11,12,13,21,26,27,29,30,31,40,49,50,54,64,
65,66,67,68,69,70,87,88,89,104,105,109,123,125,135,141,171],[1,2,3,5,8,9,10,
11,12,13,22,26,27,29,30,31,40,48,51,64,65,66,67,68,69,70,90,104,105,109,120,
124,141,153,172],[1,2,3,6,8,9,10,11,12,13,21,26,27,29,30,31,40,50,54,55,64,65,
66,67,68,69,70,87,104,105,109,121,125,141,154,173],[1,2,3,7,8,9,10,11,12,13,
26,27,29,30,31,40,52,53,56,57,64,65,66,67,68,69,70,104,105,109,122,126,136,
141,174],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,21,25,26,27,28,29,31,32,33,34,
35,36,37,38,39,40,41,43,44,45,50,55,58,65,69,70,71,72,73,75,78,79,80,82,87,93,
98,104,107,108,113,116,121,127,142,154,157,175],[1,2,3,5,8,10,12,13,17,22,26,
27,29,40,41,42,48,59,64,68,69,72,74,90,105,107,110,120,129,143,153,176],[1,2,
3,4,5,8,10,12,13,14,15,16,19,22,26,27,28,29,32,33,34,35,36,37,38,39,40,43,48,
60,64,68,69,71,73,75,76,78,80,90,94,105,106,108,111,112,120,131,145,152,153,
177],[1,2,3,6,8,9,10,11,12,13,14,21,26,27,29,31,33,40,42,50,55,61,65,69,70,74,
76,87,104,110,111,121,132,147,154,178],[1,2,3,4,7,8,10,12,13,14,15,16,20,23,
24,26,27,28,29,32,33,34,35,36,37,38,39,40,43,52,56,62,64,68,69,71,73,75,76,78,
80,91,92,95,101,105,106,108,111,112,122,137,145,151,155,156,179],[1,2,5,8,10,
18,26,48,63,64,120,150,180],[1,2,3,5,6,7,8,10,12,13,20,21,22,26,27,29,40,46,
48,50,52,54,56,64,68,69,85,87,90,91,105,118,120,122,125,151,153,167,181],[1,2,
4,5,6,7,8,10,14,15,19,21,23,25,26,28,33,39,43,46,48,50,52,54,56,58,61,64,71,
76,84,87,92,93,94,97,101,106,118,120,122,125,127,132,149,152,156,159,167,
182],[1,2,4,5,6,7,8,10,14,15,19,21,24,26,28,33,39,43,46,48,50,52,54,56,64,71,
76,83,87,94,95,106,118,120,122,125,152,155,167,183],[1,2,3,4,5,6,7,8,9,11,12,
14,15,16,17,19,21,22,23,25,27,31,32,34,37,39,41,44,45,46,48,49,50,51,52,53,54,
55,57,58,59,60,61,65,72,73,79,82,84,88,90,93,94,96,97,98,99,100,101,102,116,
117,118,121,123,124,126,128,129,131,133,148,149,157,158,161,163,168,184],[1,2,
3,8,10,12,13,17,18,26,27,29,40,41,42,47,64,68,69,72,74,86,105,107,110,143,150,
169,185],[1,3,4,5,6,7,9,16,17,18,19,20,22,23,24,25,44,46,47,49,51,53,55,59,60,
62,63,83,84,85,86,96,98,100,102,103,117,119,138,140,148,165,170,186],[1,2,3,4,
7,8,9,10,11,12,13,14,15,16,17,23,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,52,53,56,57,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,92,99,100,101,104,105,106,107,108,109,110,111,112,113,114,115,116,122,
126,136,141,142,143,144,145,146,147,156,160,161,166,174,187],[1,2,3,4,6,8,9,
10,11,12,13,14,15,16,17,21,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,49,50,54,58,61,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,87,88,89,93,96,97,104,105,106,107,108,109,110,111,112,113,114,115,116,
123,125,127,128,130,132,133,134,135,141,142,143,144,145,146,147,158,159,162,
166,171,188],[1,2,3,4,5,8,9,10,11,12,13,14,15,16,17,19,22,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,48,51,59,60,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,90,94,102,104,105,106,107,108,109,110,111,
112,113,114,115,116,120,124,129,131,141,142,143,144,145,146,147,152,153,163,
166,172,176,177,189],[1,2,3,4,6,8,9,10,11,12,13,14,15,16,17,21,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,50,54,55,58,61,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,87,93,97,98,104,105,106,107,108,109,
110,111,112,113,114,115,116,121,125,127,132,141,142,143,144,145,146,147,154,
157,159,166,173,175,178,190],[1,2,3,5,8,10,12,13,18,22,26,27,29,40,47,48,63,
64,68,69,90,103,105,120,150,153,169,180,191],[1,2,3,5,6,7,8,9,10,11,12,13,21,
22,26,27,29,30,31,40,46,48,49,50,51,52,53,54,55,56,57,64,65,66,67,68,69,70,87,
88,89,90,104,105,109,117,118,120,121,122,123,124,125,126,135,136,141,153,154,
167,168,171,172,173,174,192],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,19,20,21,22,
23,24,25,26,27,28,29,32,33,34,35,36,37,38,39,40,43,46,48,50,52,54,56,58,60,61,
62,64,68,69,71,73,75,76,78,80,83,84,85,87,90,91,92,93,94,95,97,101,105,106,
108,111,112,118,119,120,122,125,127,131,132,137,145,149,151,152,153,155,156,
159,167,177,179,181,182,183,193],[1,2,3,7,8,9,10,11,12,13,18,20,26,27,29,30,
31,40,47,52,53,56,57,64,65,66,67,68,69,70,91,104,105,109,122,126,136,138,139,
141,150,151,169,174,194],[1,2,3,5,8,10,12,13,17,18,22,26,27,29,40,41,42,47,48,
59,63,64,68,69,72,74,86,90,103,105,107,110,120,129,140,143,150,153,169,176,
180,185,191,195],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,23,25,26,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,49,50,51,52,53,
54,55,56,57,58,59,60,61,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,84,87,88,89,90,92,93,94,96,97,98,99,100,101,102,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,141,142,143,144,145,146,147,148,149,152,153,154,
156,157,158,159,160,161,162,163,166,167,168,171,172,173,174,175,176,177,178,
182,184,187,188,189,190,192,196],[1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,20,
23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,47,52,53,56,
57,62,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,86,91,92,95,99,
100,101,104,105,106,107,108,109,110,111,112,113,114,115,116,122,126,136,137,
138,139,141,142,143,144,145,146,147,150,151,155,156,160,161,164,165,166,169,
174,179,185,187,194,197],[1,2,3,5,6,7,8,9,10,11,12,13,18,20,21,22,26,27,29,30,
31,40,46,47,48,49,50,51,52,53,54,55,56,57,63,64,65,66,67,68,69,70,85,87,88,89,
90,91,103,104,105,109,117,118,120,121,122,123,124,125,126,135,136,138,139,141,
150,151,153,154,167,168,169,170,171,172,173,174,180,181,191,192,194,198],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,
1,2,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1],[1,3,1,1],[1,3,1,1],[
1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,7,1,6,1],[1,3,4,1,6,1],[1,
3,4,1,6,1],[1,3,1,2,1],[1,1,3,1],[1,1,6,1,3,3,1],[1,1,2,4,1,2,4,1],[1,3,1,2,
1],[1,1,2,1,2,1],[1,1,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[
1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,2,1],[1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,
1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,
1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,6,1,3,2,1,1],[1,1,1,3,1,
1],[1,3,4,1,3,1,1,1,1],[1,1,1,1],[1,15,5,30,15,1],[1,3,12,1,4,12,18,3,12,1],[
1,3,1,6,3,1],[1,3,1,6,3,4,1],[1,7,1,6,4,1,2,1],[1,7,4,1,6,6,2,1,1,1,4,1],[1,3,
4,1,6,4,1,2,1],[1,7,4,1,6,2,6,1,1,1,2,2,1],[1,3,4,1,6,4,1,2,1],[1,3,4,4,1,6,2,
2,4,1,1,1,2,2,1],[1,3,1,2,1,2,1],[1,3,4,1,2,2,2,1,1,1,2,2,1],[1,7,1,6,4,1,2,
1],[1,1,3,2,1,1,1,1],[1,3,2,6,1,1,1,1,7,4,1,1,1,1,1,1,1,1],[1,1,6,1,3,3,2,2,1,
1,1,1],[1,3,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,6,4,1,3,3,
2,4,2,1,1,1,2,2,1],[1,3,1,2,1,1,3,1,1],[1,9,1,2,1,3,3,6,1,1],[1,3,1,2,1,1,3,1,
1],[1,5,5,1,1,1],[1,7,4,1,6,4,1,1,1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,4,3,4,1,1],[
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],[1,3,6,4,
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],[1,3,6,4,1,3,3,4,
3,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,
3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,1,1,3,3,2,3,3,1,
1,1,1],[1,5,1,1,5,1,1,1],[1,7,12,1,4,6,12,18,6,1,3,3,12,12,1,3,3,1],[1,15,4,5,
30,6,6,15,1,3,12,1,3,3,1],[1,15,4,5,30,6,6,15,1,3,6,6,1,3,3,1],[1,7,4,1,6,6,2,
8,1,1,1,4,4,1,2,1],[1,7,4,8,1,6,6,2,4,12,8,1,1,2,1,2,2,2,2,2,4,4,4,4,4,1,2,2,
2,4,4,1],[1,7,4,1,6,6,10,1,1,5,4,4,1,1,2,1,2,1],[1,7,4,1,6,6,2,1,1,1,4,4,1,2,
1],[1,7,4,1,6,6,2,8,1,1,1,4,4,1,2,1],[1,7,4,1,6,4,6,6,1,1,2,3,2,2,1,1,1,1],[1,
3,4,4,1,6,4,2,2,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,3,4,1,6,2,2,3,4,1,1,2,2,2,1,1,1,
2,2,1],[1,3,4,1,6,2,2,3,1,1,2,2,2,1,1,1,1],[1,3,12,4,1,4,12,18,2,2,4,4,3,12,1,
1,2,2,2,4,4,1,1,1,2,2,1],[1,3,1,8,4,1,3,4,1,1,1,1,1],[1,3,4,5,4,1,3,4,1,1,1,1,
1],[1,3,12,1,2,1,9,4,1,3,3,3,6,1,3,3,1,1,1,1],[1,15,16,5,30,15,20,1,1],[1,3,
12,16,1,4,12,18,3,12,4,16,1,1],[1,15,16,5,30,15,8,12,1,1],[1,3,12,4,1,4,12,18,
12,3,12,1,4,1,3,1],[1,3,12,4,1,4,12,18,12,3,12,1,4,1,3,1],[1,15,4,5,30,12,15,
1,4,1,3,1],[1,3,12,16,1,4,12,18,3,12,4,4,12,1,1],[1,7,12,4,1,6,6,18,4,8,1,3,3,
6,6,1,4,3,1,2,1],[1,1,6,12,4,1,3,3,6,12,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,4,4,
1,6,12,4,1,6,1,4,3,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,3,4,12,4,1,6,6,6,
12,8,4,1,3,3,6,6,1,4,3,1,2,1],[1,7,4,1,6,12,4,1,6,1,4,3,1,1],[1,1,6,4,1,3,3,6,
6,4,1,3,3,1,4,3,1,1],[1,1,4,3,6,4,1,3,3,4,3,1,1],[1,3,4,1,6,12,3,4,4,1,1,1],[
1,3,16,1,6,3,4,1,1],[1,3,6,10,4,1,3,3,3,9,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,5,1,15,1,5,1,5,1,3,1,1],[
1,15,12,5,4,30,12,18,18,15,3,9,12,12,36,1,1,3,3,9,9,9,3,3,9,1],[1,7,12,8,1,4,
6,12,18,6,4,12,8,8,1,3,2,3,12,2,2,2,2,2,4,4,4,12,4,4,8,8,1,3,3,2,2,2,2,4,4,4,
4,1,1,1,2,2,1],[1,15,4,5,30,6,6,8,15,1,3,12,4,4,1,3,3,2,2,1,1,1,1],[1,7,4,8,1,
6,6,10,4,12,8,1,1,2,5,4,2,2,2,2,2,4,4,4,4,4,4,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,
2,2,1],[1,15,4,8,5,30,6,6,12,12,8,15,1,2,3,2,6,2,2,2,4,4,12,12,12,1,3,3,6,2,2,
6,4,4,1,2,1,1,2,1],[1,7,4,1,6,6,10,8,8,1,1,5,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[
1,7,12,1,4,6,12,18,6,8,1,3,3,12,4,12,4,1,3,3,2,2,1,1,1,1],[1,3,18,1,8,4,1,9,9,
6,3,12,24,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,3,18,4,5,4,1,9,9,12,3,12,18,9,4,1,
1,1,1,3,3,4,3,3,3,3,1,1],[1,15,5,30,16,15,1,1],[1,15,12,16,5,30,18,18,16,15,3,
9,36,8,12,1,9,9,12,3,1,1],[1,15,12,16,5,30,18,18,16,15,3,9,18,18,20,1,9,9,12,
3,1,1],[1,15,4,16,5,30,6,6,16,15,1,3,12,20,1,3,3,4,1,1,1],[1,7,12,16,1,4,6,12,
18,6,16,1,3,3,12,12,4,16,1,3,3,4,1,1,1],[1,15,4,16,5,30,6,6,16,15,1,3,6,6,8,
12,1,3,3,4,1,1,1],[1,15,12,16,5,30,18,18,16,15,3,9,18,18,8,12,1,9,9,4,8,3,1,
1],[1,3,12,12,16,1,4,12,18,6,6,12,12,16,3,12,3,3,6,6,6,12,12,4,16,1,3,3,6,6,4,
8,3,1,1],[1,3,12,12,4,1,4,12,18,6,6,12,12,12,8,3,12,3,3,6,6,6,12,12,1,4,4,4,1,
3,3,6,6,3,2,4,3,1,1,1,1],[1,15,12,4,5,30,18,18,12,8,15,3,9,18,18,1,4,4,4,1,9,
9,3,2,4,3,1,1,1,1],[1,3,12,16,1,6,6,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,3,12,
12,16,1,4,12,18,6,6,12,12,16,3,12,3,3,6,6,6,12,12,4,4,12,1,3,3,6,6,4,4,4,3,1,
1],[1,3,12,4,1,6,6,6,12,8,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,
12,12,4,1,4,12,18,6,6,12,12,8,12,3,12,3,3,6,6,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,
3,1,1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,
15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,12,8,5,4,30,12,18,18,12,12,8,8,15,3,2,
9,12,12,2,6,2,2,2,4,4,12,36,4,4,12,8,8,1,1,3,3,9,9,9,6,2,2,2,2,6,4,4,4,4,4,4,
3,3,2,1,1,9,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,15,16,8,16,5,30,24,15,16,20,2,8,
8,12,1,6,8,1,1,2,1],[1,3,12,4,20,16,1,4,12,18,12,12,3,12,16,1,1,4,4,4,4,4,16,
12,1,3,3,4,4,1,1,1,1,1],[1,15,20,5,30,30,30,16,15,5,15,60,16,1,15,15,5,1,1],[
1,15,1,20,10,5,6,10,15,10,6,5,5,5,5,6,10,6,5,1,1],[1,15,12,16,5,4,30,12,18,18,
48,15,3,9,12,12,36,4,4,16,1,1,3,3,9,9,9,12,12,12,3,3,9,4,4,12,1,1],[1,15,12,
16,5,4,30,12,18,18,48,15,3,9,12,12,36,20,16,1,1,3,3,9,9,9,12,3,3,9,1,4,1,3,
1],[1,15,12,16,5,4,30,12,18,18,48,15,3,9,12,12,36,4,16,16,1,1,3,3,9,9,9,12,3,
3,9,1,4,1,3,1],[1,15,12,64,5,4,30,12,18,18,15,3,9,12,12,36,32,16,48,48,1,1,3,
3,9,9,9,3,3,9,4,4,12,1,1],[1,7,12,24,16,1,4,6,12,18,6,12,36,24,24,16,32,1,3,6,
3,12,6,6,6,6,6,12,12,12,12,12,12,24,24,4,16,16,1,3,3,6,6,6,6,12,12,12,12,4,8,
16,1,3,3,6,6,1,4,3,1,2,1],[1,15,4,16,5,30,6,6,24,16,15,1,3,12,12,12,20,16,1,3,
3,6,6,4,1,3,3,1,4,3,1,1],[1,15,4,24,16,5,30,6,6,36,36,24,32,16,15,1,6,3,6,18,
6,6,6,12,12,36,12,36,20,16,1,3,3,18,6,6,18,12,12,4,24,1,6,3,3,6,1,4,3,2,1,1],[
1,7,12,16,1,4,6,12,18,6,24,16,1,3,3,12,12,12,12,4,16,16,1,3,3,6,6,4,1,3,3,1,4,
3,1,1],[1,15,12,16,16,5,30,18,18,24,24,24,16,16,16,15,3,4,9,6,12,6,6,6,12,12,
24,36,24,8,12,16,1,9,9,12,6,6,12,12,12,12,4,4,8,3,4,3,3,6,1,4,3,1,1,1,1],[1,
15,16,5,30,16,15,20,16,1,1,1,1],[1,15,12,16,8,16,5,30,18,18,16,24,48,15,3,9,
36,16,20,2,8,8,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,15,36,16,8,16,5,30,
54,54,48,24,48,48,15,9,27,54,54,16,20,2,8,8,12,24,24,1,27,27,16,6,12,12,36,24,
24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,15,12,16,8,16,5,30,18,18,16,24,48,15,3,9,18,
18,16,20,2,8,8,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,3,12,36,4,20,16,1,4,
12,18,18,18,36,36,24,12,12,48,72,3,12,9,9,18,18,18,36,36,16,1,1,4,4,4,4,4,16,
12,12,12,12,12,1,9,9,18,18,16,3,3,12,6,6,12,24,12,12,12,12,9,4,4,1,1,1,1,3,3,
3,3,4,4,3,3,3,3,1,1],[1,15,20,5,30,30,30,40,16,15,5,15,60,20,20,16,1,15,15,10,
10,16,5,5,5,5,1,1,1],[1,15,30,1,20,10,5,45,45,6,10,10,15,30,30,60,45,10,6,5,5,
5,5,15,15,30,6,10,10,10,18,15,15,15,15,6,5,10,1,6,5,3,1,1],[1,15,12,24,64,5,4,
30,12,18,18,36,36,24,24,64,15,3,6,9,12,12,6,18,6,6,6,12,12,36,36,12,12,36,24,
24,32,16,48,48,1,1,3,3,9,9,9,18,6,6,6,6,18,12,12,12,12,12,12,16,16,16,32,3,3,
6,3,3,9,3,3,6,6,6,6,6,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,12,24,16,5,4,30,
12,18,18,36,36,24,24,48,32,15,3,6,9,12,12,6,18,6,6,6,12,12,36,36,12,12,36,24,
24,4,4,16,16,16,1,1,3,3,9,9,9,18,6,6,6,6,18,12,12,12,12,12,12,12,12,12,8,8,16,
3,3,6,3,3,9,3,3,6,6,6,6,6,4,4,4,4,4,4,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,15,
12,24,16,5,4,30,12,18,18,36,36,24,24,32,48,15,3,6,9,12,12,6,18,6,6,6,12,12,36,
36,12,12,36,24,24,20,16,16,16,1,1,3,3,9,9,9,18,6,6,6,6,18,12,12,12,12,12,12,
12,24,16,3,3,6,3,3,9,3,3,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,2,3,4,3,1,1,1,1],[1,
15,12,24,16,5,4,30,12,18,18,36,36,24,24,48,32,15,3,6,9,12,12,6,18,6,6,6,12,12,
36,36,12,12,36,24,24,4,16,16,16,16,1,1,3,3,9,9,9,18,6,6,6,6,18,12,12,12,12,12,
12,12,8,16,16,3,3,6,3,3,9,3,3,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,3,2,4,3,1,1,1,
1],[1,15,20,16,5,30,30,30,16,80,15,5,15,60,16,20,16,1,15,15,20,16,5,1,1,5,1,1,
1],[1,15,12,16,32,64,5,4,30,12,18,18,96,48,15,3,9,12,12,36,64,20,4,8,16,32,16,
32,16,48,48,1,1,3,3,9,9,9,24,12,12,12,3,3,9,16,32,1,1,4,4,4,8,4,12,12,1,3,3,4,
4,1,1,1,1,1],[1,15,12,48,16,8,16,5,30,18,18,72,72,72,64,16,24,48,48,48,48,15,
3,12,9,18,36,18,18,18,36,36,72,36,72,16,20,2,8,8,12,24,48,24,48,1,9,9,36,18,
18,36,36,36,16,16,16,6,12,12,12,12,48,12,24,24,3,12,9,9,18,8,16,1,1,2,6,12,6,
12,9,8,1,4,3,3,3,6,1,3,3,1,1,1,1],[1,15,60,160,5,20,30,60,90,90,96,160,15,15,
45,60,60,180,96,80,80,120,240,1,5,15,15,45,45,45,120,15,15,45,10,20,60,16,48,
5,6,10,6,5,1],[1,15,20,16,5,30,30,30,120,16,80,15,5,15,60,60,60,16,20,80,16,1,
15,15,30,30,48,20,16,5,15,15,1,20,16,15,1,5,1,5,1,3,1,1],[1,15,12,72,16,32,64,
5,4,30,12,18,18,108,108,72,72,96,96,48,192,192,15,3,18,9,12,12,18,54,18,18,18,
36,36,108,36,36,36,108,72,72,64,20,4,8,16,32,16,32,16,48,48,96,48,48,96,1,1,3,
3,9,9,9,54,18,18,18,18,54,36,36,36,36,36,36,64,24,12,12,12,48,48,72,24,96,48,
48,48,96,48,3,3,18,9,9,9,9,9,18,18,18,18,18,16,32,1,1,4,4,4,8,4,24,12,12,12,
12,24,12,12,12,12,1,9,9,9,9,9,9,16,32,6,3,3,12,6,12,24,12,12,12,12,9,4,4,1,1,
1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,15,60,40,160,5,20,30,60,90,90,60,60,120,120,
96,160,160,160,15,15,10,45,60,60,30,30,30,30,30,60,60,60,180,60,60,60,120,120,
96,80,80,120,240,160,1,5,15,15,45,45,45,30,30,30,30,30,30,60,60,60,60,60,60,
96,120,40,40,80,80,80,15,15,10,15,15,45,15,15,30,30,30,30,30,10,20,60,40,16,
48,5,15,15,15,15,15,15,6,10,10,10,20,20,16,16,15,6,5,10,6,5,1,1],[1,15,60,16,
80,160,5,20,30,60,90,90,96,160,240,240,15,15,45,60,60,180,160,96,20,20,20,80,
80,80,80,80,120,240,96,1,5,15,15,45,45,45,160,60,60,60,60,120,96,15,15,45,80,
80,1,5,10,20,20,20,20,60,60,16,48,5,6,10,15,15,10,20,6,16,5,5,5,5,6,10,6,5,1,
1],[1,15,60,120,16,80,160,5,20,30,60,90,90,180,180,360,360,96,160,160,240,240,
480,480,480,15,15,30,45,60,60,90,90,90,90,90,180,180,180,180,180,180,180,360,
360,160,96,20,20,20,80,80,80,80,80,120,240,240,240,240,240,480,96,1,5,15,15,
45,45,45,90,90,90,90,90,90,180,180,180,180,180,180,160,160,160,288,60,60,60,
60,120,120,120,120,120,120,240,240,240,240,240,240,96,15,15,30,45,45,45,45,45,
90,90,90,90,90,80,80,160,1,5,10,20,20,20,20,60,60,60,60,60,60,60,60,60,60,120,
16,48,96,5,45,45,45,45,45,45,80,80,6,10,10,15,15,30,30,30,60,60,60,60,60,60,
48,48,45,10,20,6,16,5,5,5,5,15,15,15,15,30,6,10,10,10,20,18,16,15,15,15,15,6,
5,10,1,6,5,3,1,1]],
[1,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,9,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,15,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,20,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,30,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,
36,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,60,60,60,64,64,64,64,
64,64,64,72,72,80,96,96,96,96,96,96,96,96,96,96,96,96,96,120,120,128,144,144,
160,180,192,192,192,192,192,192,192,192,192,240,288,288,288,288,320,360,384,
384,384,384,480,576,576,960,960,1152,1920,2880,5760],
[199,188,163,137,186,149,119,196,184,179,161,142,144,108,108,82,82,140,119,
119,97,102,62,62,58,190,189,179,166,162,158,142,145,142,144,144,108,108,108,
108,116,114,108,82,82,119,140,184,184,182,148,149,148,149,148,137,99,97,102,
102,97,62,140,199,196,187,188,166,166,166,145,142,142,144,144,145,114,108,116,
108,114,116,119,119,119,86,159,158,162,163,137,137,127,131,137,128,97,98,99,
100,101,102,140,190,189,179,166,166,166,166,166,145,142,144,144,142,148,149,
119,199,196,193,184,184,182,184,159,158,163,162,163,159,158,162,162,160,137,
186,164,140,196,166,166,166,166,166,166,148,149,195,193,193,189,190,179,179,
175,158,159,160,161,162,163,164,165,166,193,184,195,186,196,196,196,196,190,
189,189,190,179,195,193,193,193,184,185,186,187,188,189,190,195,196,193,199,
195,196,197,199,199],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,7,1,1,7,1,6,1,1,1,1,2,1,1,1,1,2,2,2,1,
2,2,1,1,2,3,3,1,18,8,9,8,1,8,9,1,9,10,11,6,5,5,6,7,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,13,2,3,2,13,3,5,46,7,18,8,9,30,8,56,56,50,48,10,49,21,55,57,53,52,22,18,8,8,
10,8,2,8,8,8,10,12,13,13,12,9,8,46,64,65,64,9,8,8,65,50,49,48,89,48,50,49,89,
30,66,56,138,139,63,8,27,26,29,26,29,27,117,118,64,122,120,64,65,64,122,121,
88,87,136,126,89,90,139,138,69,64,65,150,138,141,64,65,141,121,120,120,121,
122,64,122,167,120,168,150,170,174,171,153,154,150,141,167,194,180,192,194,
194,198],
[( 2, 4)( 5,14)( 6,16)( 7,15)( 8,13)( 9,12),( 1, 2,15, 7)( 3,12)( 4, 8,11,16)
( 6,14, 9,10)],
[[[[]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,
-2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]]],[[[1,1,
2,1],[3,1,1,1,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,2,4,2,2,-2,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,
1,4,-1,5,1,2,1,4,1,3,-1,4,1,5,-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]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[2,1,1,1,
2,-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],[2,1,3,
2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,2,1,1,1,3,
-2,2,-1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,
3,1]]],[[[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,-1,2,-2,
3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,1]]],[[[2,1,1,1],[2,-2,1,1,2,1],[
4,1,3,1,4,-1,3,-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,-2,3,-1]],[[1,1,2,1],[3,1,2,
1,1,1,2,-1,3,-1,2,-2]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,3,
1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-3,2,-1]]],[[[1,1,2,1],[2,
1,3,1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[3,
2],[4,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,2,2,-1,3,-1]]],[[[2,1,1,
1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,
2,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,-1,4,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,3,2,1,1,2,
-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,4,-1,3,-2,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[3,2,4,-1,1,1,2,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,
3,3,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-2,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,-2,3,1,4,1,3,-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],[2,1,3,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,2,2,
1,4,2,3,-1,4,1,2,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,-2,1,
1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[
2,1,1,1],[3,2,2,1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-2,3,-2,
2,1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,
1,4,1,3,-1,2,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,4,-3,3,1,4,-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],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,-2,1,1]],[[2,1,1,1],[3,1,2,-2,
1,1,2,-2,3,-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],[4,1,3,-1,4,2,2,-2,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,
1,2,1],[3,1,1,1,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,
4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,
1,2,1,1,1,3,-2]],[[2,1,1,1],[2,1,3,3,2,-2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,-1,3,1,4,2]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,-2,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,4,1,3,-1,2,-2,4,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,-2],[3,1,1,
1,2,-2,1,1,3,1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,1,
1,1,2,1,3,2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,1,1,3,-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],[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],[3,1,2,1,1,
1,2,-1,3,2,2,1]]],[[[2,-2,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,
1,2,-1,3,-2]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,
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1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,-2,3,1,4,3,3,-1]],[[1,1,2,1],[2,1,1,1],[
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1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-1,2,-2]]],[[[1,1,2,
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-1]],[[1,1,2,1],[2,-2,1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,4,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1,3,2,
2,1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,
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1],[3,1,1,1,2,-1,3,-2]],[[2,-2,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,
3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]]],[[[2,
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2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-2,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,
1,3,-3,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,2,-1,3,-1]]],[[[1,1,2,1],[
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1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-2,4,-1]]],[[[
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1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,-2,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,1,3,-1,4,
1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,2,1,4,
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3,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
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1,3,1],[4,1,3,1,2,1,1,1,4,-1]]],[[[2,-2,1,1,2,-2,1,1]],[[1,1,2,1],[2,1,3,1,1,
1,2,-1,1,1,3,-1]]],[[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[
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1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-2,3,2]],[[1,1,2,1],[
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4,2,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,2,4,1]]],[[[1,1,2,-2,1,1]],[[
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2]],[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,
2]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-3,3,
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1],[2,1,3,1,2,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,-2,1,1,2,1,3,-3,2,-1]]],[[[1,1,2,
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1],[3,1,1,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,
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2,1,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
2,4,2]]],[[[1,1,2,1],[2,1,3,1],[4,1,1,1,2,-1,4,-1,3,-1]],[[1,1,2,1],[1,1,3,-1,
2,1,1,1,2,-2,3,1]]],[[[2,1,1,1],[1,1,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,3,
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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,
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-1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,2]]],[[[1,1,2,-2,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,-2,4,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,1,4,1,3,-1,4,1]]],[[[1,1,
2,-2,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,
1,4,1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,-2,3,-2]],[[1,1,2,1],[2,1,1,1,3,-2,2,1,3,
1]]],[[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,1,
3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[2,1,1,1,2,1,1,1,2,-1,
1,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
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2,2,1,3,1]]],[[[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,
1,2,1,4,-1,3,1]]],[[[1,1]],[[2,-2,1,1,2,-2,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[3,2,2,1,1,1,3,-1,2,
-2]],[[1,1,2,1],[1,1,2,-1,3,3,2,1,1,1]]],[[[1,1,2,1],[3,2,1,1,2,-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,-1,3,2,4,1]]],[[[1,1,2,
1],[3,4,2,1]],[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,
2,-1,3,1]],[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]]],[[[2,-2,1,1,2,-1,1,1,2,-1]],[[1,
1,2,1],[2,1,3,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-1]],[[2,1,1,1],[
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1,2,1],[2,1,1,1],[4,1,3,-2,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-1,4,1]]],[[[
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1],[2,1,1,1],[2,-2,3,1,4,-3,3,-1]]],[[[1,1,2,1],[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],[2,1,3,1,1,1,2,-1,1,1,3,-1]]],[[[2,-2,1,
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1]],[[2,1,1,1],[1,1,2,-2,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,-1,3,1]]],[[[2,-2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,
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1]]],[[[2,1,1,1],[1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,2,1,1,3,-1]]],[[[1,1,2,1],[
2,-2,3,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,2]]],[[[1,1,2,1],[2,1,1,1,3,-2]],[[1,1,
2,1],[2,-2,3,2]],[[1,1,2,1],[3,4,2,1]]],[[[1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,
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2,1,3,1,2,1,1,1]]],[[[2,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,3,-2]]],[[[1,
1]],[[2,-1,1,1,2,-2]]],[[[2,1,1,1,2,-1]],[[2,-2,1,1,2,-2,1,1]],[[1,1,2,1],[1,
1,2,-1,3,2]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,1],[2,-1,3,2]],[[1,1,2,1],[3,1,2,
1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,2,3,1]],[[1,1,2,1],[2,1,1,1,3,2,2,
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1,3,1]]],[[[2,1]],[[2,1,1,1],[1,1,2,1,3,2]]],[[[1,1]],[[2,1,1,1,2,-1]],[[2,-2,
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LIBTOM( "L2(17)x2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,4,6],[1,4,7],[1,2,3,4,8],[1,4,9],[1,4,10],[1,
3,4,11],[1,3,4,12],[1,2,5,13],[1,3,5,14],[1,4,5,15],[1,2,3,4,7,8,11,16],[1,2,
3,4,6,8,12,17],[1,3,4,9,12,18],[1,4,9,19],[1,2,3,4,8,9,10,20],[1,4,6,9,21],[1,
4,9,22],[1,4,7,9,23],[1,3,4,9,11,24],[1,3,4,7,10,11,25],[1,3,4,6,10,12,26],[1,
5,27],[1,4,5,7,28],[1,4,5,6,29],[1,2,3,4,5,8,13,14,15,30],[1,2,3,4,7,8,9,10,
11,16,20,23,24,25,31],[1,4,6,7,9,19,21,23,32],[1,2,3,4,6,8,9,10,12,17,18,20,
21,26,33],[1,3,4,9,11,12,18,19,24,34],[1,2,3,4,8,9,10,19,20,22,35],[1,3,4,6,9,
11,21,22,24,36],[1,3,4,7,9,12,18,22,23,37],[1,38],[1,3,5,14,27,39],[1,2,5,13,
27,40],[1,4,5,15,27,41],[1,3,4,5,6,10,12,14,26,29,42],[1,2,3,4,5,7,8,11,13,16,
28,43],[1,2,3,4,5,6,8,12,13,17,29,44],[1,4,5,7,9,15,23,28,45],[1,3,4,5,7,10,
11,14,25,28,46],[1,4,5,6,9,15,21,29,47],[1,2,3,4,6,7,8,9,10,11,12,16,17,18,19,
20,21,22,23,24,25,26,31,32,33,34,35,36,37,48],[1,4,38,49],[1,2,38,50],[1,3,38,
51],[1,2,3,4,5,8,13,14,15,27,30,39,40,41,52],[1,2,3,4,5,7,8,9,10,11,13,14,15,
16,20,23,24,25,28,30,31,43,45,46,53],[1,2,3,4,5,6,8,9,10,12,13,14,15,17,18,20,
21,26,29,30,33,42,44,47,54],[1,4,10,38,49,55],[1,2,3,4,8,38,49,50,51,56],[1,4,
9,38,49,57],[1,2,3,4,8,9,10,20,38,49,50,51,55,56,57,58],[1,4,9,19,38,49,57,
59],[1,4,9,22,38,49,57,60],[1,2,3,4,8,9,10,19,20,22,35,38,49,50,51,55,56,57,
58,59,60,61],[1,4,5,6,7,9,15,19,21,23,27,28,29,32,38,41,45,47,49,57,59,62],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,3,1],[1,1,1,1,1],[1,1,1],[1,1,1],[1,
2,1,1],[1,2,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,
3,1],[1,4,1,1,2,1],[1,1,1,1],[1,1,1,1,1,1,1,1],[1,5,2,1,1],[1,1,1,1],[1,5,2,1,
1],[1,4,1,1,2,1],[1,2,3,1,1,1,1],[1,2,3,1,1,1,1],[1,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,5,5,2,5,1,1,6,2,1,1,1,2,1],[1,9,2,2,1,1,1,1,1],[
1,1,5,5,2,5,1,1,6,2,1,1,1,2,1],[1,8,1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1],[
1,4,5,2,1,2,1,1,1,1],[1,4,5,2,1,2,1,1,1,1],[1,1],[1,9,1,3,1,1],[1,1,1,1,1,1],[
1,9,1,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,
3,4,1,1,1],[1,9,4,4,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,9,4,4,3,4,3,1,1],[1,
1,9,9,2,2,9,1,1,6,6,2,2,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,17,1,1],[1,1,1,
1],[1,17,1,1],[1,1,9,9,1,9,1,3,3,1,3,1,1,1,1],[1,1,9,9,4,4,9,3,3,12,4,4,4,4,3,
3,3,6,1,4,3,1,1,1,1],[1,1,9,9,4,4,9,3,3,12,4,4,4,4,3,3,3,6,1,4,3,1,1,1,1],[1,
17,17,1,1,1],[1,1,17,17,17,1,1,1,1,1],[1,17,17,1,1,1],[1,1,17,17,17,17,17,17,
1,1,1,1,1,1,1,1],[1,17,17,17,1,1,1,1],[1,17,17,17,1,1,1,1],[1,1,17,17,17,17,
17,17,17,17,17,1,1,1,1,1,1,1,1,1,1,1],[1,153,136,102,102,153,408,153,153,153,
136,102,102,153,18,136,102,102,18,18,18,1],[1,1,153,153,136,102,102,153,153,
153,306,306,136,408,408,102,102,153,153,153,153,153,153,153,306,306,136,102,
102,408,153,153,153,153,153,153,153,18,136,136,136,102,102,102,102,102,102,
153,18,18,18,136,102,102,18,18,18,18,18,18,18,1,1]],
[1,2,2,2,3,4,4,4,4,4,4,4,6,6,6,8,8,8,8,8,8,8,8,8,8,8,9,12,12,12,16,16,16,16,
16,16,16,17,18,18,18,24,24,24,24,24,24,32,34,34,34,36,48,48,68,68,68,136,136,
136,272,2448,4896],
[63,63,48,48,52,54,53,48,48,48,31,33,52,30,30,53,54,48,48,48,48,48,48,48,31,
33,52,53,54,30,48,48,48,48,48,48,48,61,52,52,52,54,53,54,53,53,54,48,61,61,61,
52,53,54,61,61,61,61,61,61,61,63,63],
[1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,1,4,1,1,4,1,4,4,4,4,1,7,6,5,4,9,4,9,1,9,9,1,
27,1,27,29,7,6,28,28,29,9,38,1,38,27,28,29,38,38,38,38,38,38,38,62,62],
[( 2, 8)( 3, 4)( 5, 6)( 9,18)(10,19)(11,20)(12,21)(13,22)(14,23)(15,24)(16,25)
(17,26)(27,32)(28,33)(31,34)(35,36),( 1,30,10,14,23,20, 2,24,32,18,25,15,28,
  5,36,35,34,29, 7,33,26,17,16,31,12, 6,13,11,21,19,27, 3, 4, 8)( 9,22)],
[[[[]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1],[1,1,2,1],[2,1,1,1],[5,1,1,1,6,1,
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1],[2,2,1,1,3,-1,1,1,2,-2,3,1]]],[[[1,1]],[[2,1,1,1,2,-1]]],[[[2,2,1,1,2,-1,1,
1,2,-1,1,1,2,1]]],[[[1,1,2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,
-2]]],[[[1,1,2,1],[3,2],[4,1,1,1,2,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,
2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,1,3,
1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[3,2,2,3,1,1]],[[2,1,
1,1],[2,2,3,1,2,1,3,-1,1,1,2,1]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[2,2],[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],[2,1,3,2,
1,1,2,-2,3,1]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1,2,1],[2,1,3,2,1,1,2,
-2,3,1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,
1]]],[[[1,1]],[[1,1,2,-2,1,1,2,3]]],[[[1,1,2,-2,1,1,2,3]],[[2,2,1,1,2,-1,1,1,
2,-1,1,1,2,1]]],[[[1,1]],[[2,2]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "(3xM10):2",
[[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],[
1,2,12],[1,2,4,13],[1,2,3,14],[1,15],[1,3,5,16],[1,4,5,17],[1,2,5,18],[1,3,6,
19],[1,2,6,20],[1,3,7,21],[1,3,6,22],[1,2,9,10,23],[1,2,9,24],[1,2,8,9,25],[1,
2,3,8,11,14,26],[1,2,4,9,13,27],[1,2,3,9,14,28],[1,2,9,29],[1,2,3,9,11,12,
30],[1,2,4,10,12,13,31],[1,2,3,4,10,11,13,32],[1,2,3,8,12,14,33],[1,6,34],[1,
5,6,7,35],[1,6,7,36],[1,2,15,37],[1,4,15,38],[1,4,15,39],[1,2,6,8,40],[1,2,5,
8,18,41],[1,2,5,9,18,42],[1,2,3,5,11,16,18,43],[1,2,5,12,18,44],[1,2,7,8,45],[
1,2,3,5,14,16,18,46],[1,2,5,10,18,47],[1,2,4,5,13,17,18,48],[1,2,3,6,14,19,20,
22,49],[1,5,15,50],[1,2,8,9,10,23,24,25,51],[1,2,4,8,9,13,25,27,29,52],[1,2,3,
4,9,13,14,24,27,28,53],[1,2,3,9,11,12,24,29,30,54],[1,2,3,8,9,11,12,14,25,26,
28,30,33,55],[1,2,3,4,9,10,11,12,13,23,27,30,31,32,56],[1,2,3,9,10,14,23,28,
29,57],[1,2,6,20,34,58],[1,3,5,6,7,16,19,21,35,59],[1,3,5,6,7,16,22,35,60],[1,
3,6,19,22,34,61],[1,2,5,6,7,18,20,35,62],[1,3,6,7,21,22,36,63],[1,2,10,15,37,
64],[1,2,4,13,15,37,38,39,65],[1,2,12,15,37,66],[1,2,6,8,9,20,25,40,67],[1,2,
3,5,8,11,14,16,18,26,41,43,46,68],[1,2,5,9,18,24,42,69],[1,2,5,8,9,18,25,41,
42,70],[1,2,3,5,9,14,16,18,28,42,46,71],[1,2,4,5,9,13,17,18,27,42,48,72],[1,2,
3,5,9,11,12,16,18,30,42,43,44,73],[1,2,5,9,10,18,23,42,47,74],[1,2,5,9,18,29,
42,75],[1,2,3,6,8,11,14,22,26,40,76],[1,2,3,4,5,10,11,13,16,17,18,32,43,47,48,
77],[1,2,4,5,10,12,13,17,18,31,44,47,48,78],[1,2,3,5,8,12,14,16,18,33,41,44,
46,79],[1,2,3,6,8,12,14,19,33,40,80],[1,2,3,7,8,12,14,21,33,45,81],[1,5,6,7,
34,35,36,82],[1,2,5,15,18,37,50,83],[1,4,5,15,17,38,50,84],[1,4,5,15,17,39,50,
85],[1,2,3,4,8,9,10,11,12,13,14,23,24,25,26,27,28,29,30,31,32,33,51,52,53,54,
55,56,57,86],[1,2,6,9,20,34,58,87],[1,2,6,10,20,34,58,88],[1,2,5,6,7,8,18,35,
40,41,45,89],[1,2,3,6,14,19,20,22,34,49,58,61,90],[1,2,3,5,6,7,14,16,18,19,20,
21,22,35,46,49,59,60,62,91],[1,2,4,10,12,13,15,31,37,38,39,64,65,66,92],[1,2,
3,5,9,11,12,16,18,24,29,30,42,43,44,54,69,73,75,93],[1,2,3,4,5,9,13,14,16,17,
18,24,27,28,42,46,48,53,69,71,72,94],[1,2,3,5,9,10,14,16,18,23,28,29,42,46,47,
57,71,74,75,95],[1,2,5,8,9,10,18,23,24,25,41,42,47,51,69,70,74,96],[1,2,3,4,5,
9,10,11,12,13,16,17,18,23,27,30,31,32,42,43,44,47,48,56,72,73,74,77,78,97],[1,
2,4,5,8,9,13,17,18,25,27,29,41,42,48,52,70,72,75,98],[1,2,3,5,8,9,11,12,14,16,
18,25,26,28,30,33,41,42,43,44,46,55,68,70,71,73,79,99],[1,2,3,6,8,9,11,12,14,
19,20,22,25,26,28,30,33,40,49,55,67,76,80,100],[1,2,5,6,7,18,20,34,35,36,58,
62,82,101],[1,3,5,6,7,16,19,21,22,34,35,36,59,60,61,63,82,102],[1,2,6,8,15,20,
37,40,103],[1,2,5,10,15,18,37,47,50,64,83,104],[1,2,5,12,15,18,37,44,50,66,83,
105],[1,2,4,5,13,15,17,18,37,38,39,48,50,65,83,84,85,106],[1,2,6,9,10,20,23,
34,58,87,88,107],[1,2,3,5,6,7,8,12,14,16,18,19,21,33,35,40,41,44,45,46,59,79,
80,81,89,108],[1,2,6,9,20,29,34,58,87,109],[1,2,3,5,6,7,8,11,14,16,18,22,26,
35,40,41,43,45,46,60,68,76,89,110],[1,2,5,6,7,8,9,18,20,25,35,40,41,42,45,62,
67,70,89,111],[1,2,3,6,9,14,19,20,22,28,34,49,58,61,87,90,112],[1,2,3,4,5,8,9,
10,11,12,13,14,16,17,18,23,24,25,26,27,28,29,30,31,32,33,41,42,43,44,46,47,48,
51,52,53,54,55,56,57,68,69,70,71,72,73,74,75,77,78,79,86,93,94,95,96,97,98,99,
113],[1,2,5,6,7,9,18,20,34,35,36,42,58,62,82,87,101,114],[1,2,3,5,6,7,14,16,
18,19,20,21,22,34,35,36,46,49,58,59,60,61,62,63,82,90,91,101,102,115],[1,2,5,
6,7,10,18,20,34,35,36,47,58,62,82,88,101,116],[1,2,4,5,10,12,13,15,17,18,31,
37,38,39,44,47,48,50,64,65,66,78,83,84,85,92,104,105,106,117],[1,2,3,6,8,12,
14,15,19,20,22,33,37,40,49,66,80,103,118],[1,2,3,5,6,7,8,9,11,12,14,16,18,19,
20,21,22,25,26,28,30,33,35,40,41,42,43,44,45,46,49,55,59,60,62,67,68,70,71,73,
76,79,80,81,89,91,99,100,108,110,111,119],[1,2,3,6,9,10,14,19,20,22,23,28,29,
34,49,57,58,61,87,88,90,107,109,112,120],[1,2,5,6,7,8,15,18,20,35,37,40,41,45,
50,62,83,89,103,121],[1,2,5,6,7,9,18,20,29,34,35,36,42,58,62,75,82,87,101,109,
114,122],[1,2,3,5,6,7,9,14,16,18,19,20,21,22,28,34,35,36,42,46,49,58,59,60,61,
62,63,71,82,87,90,91,101,102,112,114,115,123],[1,2,5,6,7,9,10,18,20,23,34,35,
36,42,47,58,62,74,82,87,88,101,107,114,116,124],[1,2,6,8,9,15,20,25,34,37,40,
58,67,87,103,125],[1,2,3,5,6,7,8,12,14,15,16,18,19,20,21,22,33,35,37,40,41,44,
45,46,49,50,59,60,62,66,79,80,81,83,89,91,103,105,108,118,121,126],[1,2,3,5,6,
7,9,10,14,16,18,19,20,21,22,23,28,29,34,35,36,42,46,47,49,57,58,59,60,61,62,
63,71,74,75,82,87,88,90,91,95,101,102,107,109,112,114,115,116,120,122,123,124,
127],[1,2,6,8,9,10,15,20,23,24,25,34,37,40,51,58,64,67,87,88,103,107,125,
128],[1,2,4,6,8,9,13,15,20,25,27,29,34,37,38,39,40,52,58,65,67,87,103,109,125,
129],[1,2,3,6,8,9,11,12,14,15,19,20,22,25,26,28,30,33,34,37,40,49,55,58,61,66,
67,76,80,87,90,100,103,112,118,125,130],[1,2,5,6,7,8,9,15,18,20,25,34,35,36,
37,40,41,42,45,50,58,62,67,70,82,83,87,89,101,103,111,114,121,125,131],[1,2,3,
4,6,8,9,10,11,12,13,14,15,19,20,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,
39,40,49,51,52,53,54,55,56,57,58,61,64,65,66,67,76,80,86,87,88,90,92,100,103,
107,109,112,118,120,125,128,129,130,132],[1,2,4,5,6,7,8,9,13,15,17,18,20,25,
27,29,34,35,36,37,38,39,40,41,42,45,48,50,52,58,62,65,67,70,72,75,82,83,84,85,
87,89,98,101,103,106,109,111,114,121,122,125,129,131,133],[1,2,3,5,6,7,8,9,11,
12,14,15,16,18,19,20,21,22,25,26,28,30,33,34,35,36,37,40,41,42,43,44,45,46,49,
50,55,58,59,60,61,62,63,66,67,68,70,71,73,76,79,80,81,82,83,87,89,90,91,99,
100,101,102,103,105,108,110,111,112,114,115,118,119,121,123,125,126,130,131,
134],[1,2,5,6,7,8,9,10,15,18,20,23,24,25,34,35,36,37,40,41,42,45,47,50,51,58,
62,64,67,69,70,74,82,83,87,88,89,96,101,103,104,107,111,114,116,121,124,125,
128,131,135],[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]],
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],[
1,1,1],[1,1,2,1],[1,1,2,1],[1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,
1,1],[1,3,1,1],[1,1,1,1],[1,1,1,2,1],[1,1,1,1],[1,5,2,1,1],[1,3,4,1,3,3,1],[1,
1,4,1,2,1],[1,1,4,1,2,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,
1,1,1],[1,3,2,1,1,1,1],[1,4,1],[1,1,1,2,1],[1,1,3,1],[1,5,1,1],[1,5,1,1],[1,1,
1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,1,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,1,3,1,1],[
1,3,4,1,1],[1,1,6,1,3,2,1,1],[1,1,1,1,1,1],[1,1,6,1,3,2,1,1],[1,3,4,1,3,1,1,1,
1],[1,1,1,1],[1,5,2,1,2,1,1,1,1],[1,5,4,2,1,2,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,
1],[1,1,2,1,1,1,1,1,1,1],[1,5,6,2,1,5,1,6,1,2,1,1,2,1],[1,1,2,4,1,2,1,1,2,1,1,
1,2,2,1],[1,1,4,1,2,2,1,1,1,1],[1,9,4,12,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,
2,1,3,1,1],[1,3,4,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,3,1,3,1,1],[1,5,5,1,1,
1],[1,5,6,5,1,1,1,1,1],[1,5,5,1,1,1],[1,9,4,4,3,4,3,1,1],[1,3,12,1,1,9,9,4,3,
3,1,3,3,1],[1,1,1,1,1,1,1,1],[1,5,1,2,1,5,1,2,1,1],[1,1,12,1,1,6,4,1,3,1,2,
1],[1,1,12,1,1,6,4,1,3,1,2,1],[1,1,6,1,1,3,3,2,1,3,1,1,1,1],[1,1,1,1,2,1,1,1,
2,1],[1,1,1,1,1,3,1,1],[1,3,4,4,1,3,3,4,1,1,1],[1,1,6,6,1,1,3,3,2,2,1,3,1,1,1,
1],[1,1,6,1,1,3,3,2,1,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,8,1,4,8,1],[1,5,1,1,5,1,1,1],[1,15,1,
1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,5,6,4,2,1,2,5,1,2,6,1,1,1,2,1,1,1,1,2,2,2,1,1,
1,1,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[
1,9,6,4,9,2,12,6,1,6,1,2,1],[1,3,12,1,1,2,9,4,3,3,1,6,3,1,3,3,1,1,1,1],[1,5,6,
5,5,5,1,5,1,1,1,1,1,1,1],[1,1,6,1,1,3,3,2,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,12,12,
1,1,6,6,4,4,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,12,1,1,2,6,4,1,1,3,3,1,2,2,3,1,1,1,
1],[1,5,1,2,1,2,5,1,1,1,2,1,2,1,1,1,1,1],[1,1,6,12,1,1,2,3,3,6,2,4,1,1,3,3,6,
6,1,1,1,2,2,3,1,1,1,2,2,1],[1,5,12,1,2,1,6,4,5,1,3,3,2,1,2,3,1,1,1,1],[1,5,18,
1,2,1,15,3,18,6,5,1,6,3,3,6,2,1,5,1,6,3,2,1,1,1,2,1],[1,9,10,4,4,3,9,3,12,4,4,
4,3,4,3,3,6,1,4,3,1,1,1,1],[1,9,1,4,8,9,12,1,4,8,1,12,1,1],[1,9,1,4,8,3,3,6,9,
1,4,8,1,3,3,6,1,1],[1,15,10,5,6,10,6,5,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,1,15,
1,5,1,5,1,3,1,1],[1,5,18,1,15,1,6,5,1,3,3,5,1,3,1,1,1,1],[1,9,4,9,18,12,9,1,1,
1,2,1],[1,3,18,1,4,8,1,9,9,6,3,12,24,9,4,1,1,3,2,3,4,3,3,6,1,1],[1,9,4,9,12,9,
1,1,1,1],[1,3,12,1,4,8,1,9,9,4,3,12,3,4,1,1,3,2,3,4,1,3,1,1],[1,9,1,4,8,4,3,9,
4,3,4,1,4,3,2,4,1,3,1,1],[1,9,12,4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,5,18,12,
1,2,1,2,15,3,6,18,6,4,5,1,1,1,6,3,3,3,3,6,6,6,2,1,5,1,6,2,2,1,3,3,3,3,3,3,2,1,
1,1,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[1,9,1,4,8,9,9,12,1,4,8,9,1,12,1,1,1,1],[
1,9,18,1,4,8,27,6,9,6,12,12,18,1,4,8,9,18,1,2,6,6,12,12,1,3,6,1,2,1],[1,9,1,4,
8,9,9,12,1,4,8,9,1,12,1,1,1,1],[1,5,18,1,5,15,15,1,6,5,15,1,3,3,5,5,5,1,1,3,3,
5,1,1,1,3,1,1,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,9,30,
1,4,8,4,3,27,9,36,10,9,12,4,24,12,3,12,9,9,18,4,1,4,3,9,3,2,12,12,9,4,4,4,1,4,
3,3,3,3,6,3,6,1,4,3,3,1,1,1,1],[1,9,12,4,9,18,18,4,12,12,9,9,9,1,12,9,1,4,1,2,
2,1,1,1,1],[1,15,1,10,20,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,9,1,4,8,9,9,
12,27,1,4,8,9,1,12,9,1,1,1,3,1,1],[1,9,36,1,4,8,9,54,12,9,12,12,24,36,27,1,4,
8,9,18,36,1,4,12,12,12,24,9,1,1,6,12,1,4,3,1,2,1],[1,9,1,4,8,9,18,9,12,9,1,4,
8,9,18,1,12,9,1,1,2,1,1,1,2,1],[1,45,40,30,45,36,120,45,10,36,30,10,30,10,12,
1],[1,15,30,1,10,20,5,45,45,6,10,15,30,10,60,30,45,10,6,5,5,15,10,15,30,6,10,
10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,9,36,1,4,8,9,18,54,12,9,12,12,24,36,
9,27,27,1,4,8,9,18,18,36,27,1,4,12,12,12,24,9,9,9,1,1,2,6,12,9,1,4,1,3,3,1,2,
2,3,1,1,1,1],[1,45,40,30,45,90,36,120,45,45,45,10,36,30,45,10,36,30,10,20,12,
10,1,1],[1,45,36,40,30,45,90,36,120,45,45,45,10,36,36,36,30,45,10,36,30,10,12,
10,1,1],[1,45,30,40,30,45,45,45,90,36,40,120,120,45,30,45,45,90,10,36,30,120,
45,10,40,36,30,30,30,10,20,30,12,10,12,1,1],[1,45,1,40,80,30,45,36,45,120,45,
10,40,80,36,30,30,45,60,36,10,120,30,45,10,36,10,30,10,12,30,10,12,1,1],[1,45,
30,36,40,30,45,90,45,45,90,90,36,40,120,120,45,45,45,30,45,45,45,45,90,90,90,
10,36,36,36,30,120,45,45,45,45,45,45,45,10,40,36,36,36,30,30,30,45,10,20,20,
36,30,12,10,10,10,12,10,1,1,1,1,1],[1,45,108,1,40,80,30,45,270,36,36,45,120,
45,135,135,10,40,80,36,108,108,30,30,45,60,90,36,135,10,120,108,30,45,45,45,
10,36,36,36,10,30,45,10,12,36,30,30,10,12,10,1,3,1,1],[1,45,90,1,40,80,30,45,
135,135,270,36,30,45,120,120,240,360,45,90,135,135,270,10,40,80,36,30,30,45,
45,45,60,90,360,36,135,10,40,120,120,120,240,108,30,30,45,45,45,90,90,90,180,
10,36,10,30,60,120,45,90,10,40,12,36,30,30,30,30,10,20,36,30,12,10,1,12,3,1,
1],[1,45,1,40,80,30,45,90,36,45,120,45,45,45,10,40,80,36,30,30,45,60,90,36,45,
10,120,36,30,45,45,45,10,36,10,20,30,45,10,12,36,10,30,10,20,12,10,1,1,1,1],[
1,45,90,108,1,40,80,30,45,90,135,135,270,270,36,30,36,45,120,120,240,360,45,
45,45,90,135,135,135,135,270,270,270,10,40,80,36,108,108,30,30,45,45,45,60,90,
90,90,360,36,45,135,135,135,135,135,135,10,40,120,120,120,240,36,108,108,30,
30,45,45,45,45,45,45,45,90,90,90,90,90,180,10,36,36,36,135,10,20,30,60,120,
108,45,45,45,45,45,45,45,90,10,40,12,36,36,36,10,30,30,30,30,30,45,10,20,20,
36,36,30,30,12,10,10,10,1,12,10,1,3,3,1,3,1,1,1,1]],
[1,2,2,2,3,3,3,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,9,9,9,10,
10,10,12,12,12,12,12,12,12,12,12,12,15,16,16,16,16,16,16,16,18,18,18,18,18,18,
20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,30,30,30,32,36,36,36,
36,36,40,48,48,48,48,48,48,48,48,54,54,60,60,60,60,72,72,72,72,72,72,96,108,
108,108,120,120,144,144,180,216,216,216,360,360,432,720,720,720,1080,1440,
2160,2160,2160,4320],
[136,113,100,92,136,115,102,119,113,97,86,86,56,55,117,119,117,113,90,91,63,
49,113,113,113,100,86,86,86,86,56,56,55,127,115,102,117,92,92,119,119,113,113,
113,108,99,97,97,49,117,113,86,86,86,86,86,86,127,115,91,90,91,63,117,92,92,
119,119,113,113,113,113,113,113,113,100,97,97,99,100,81,127,117,117,117,86,
127,124,119,112,91,92,113,113,113,113,113,113,113,100,127,115,126,117,117,117,
127,119,120,119,119,120,113,127,123,124,117,118,119,120,126,127,127,127,136,
126,127,136,132,132,136,132,136,136,136,136],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,1,6,6,7,1,2,1,2,1,2,2,1,1,1,2,2,1,1,1,15,
15,1,8,1,1,5,5,8,5,1,5,6,1,9,9,9,2,2,2,9,34,35,5,6,6,7,15,15,15,40,5,1,2,18,
18,5,2,5,8,18,5,18,40,45,1,15,50,5,9,34,34,8,34,35,15,18,42,42,9,18,42,18,40,
34,35,103,15,50,50,58,89,34,41,40,58,42,34,82,34,50,103,89,87,103,82,101,58,
125,121,114,125,125,125,125,125,131,131,125,131],
[( 1,13)( 2, 8)( 3,14)( 4,12)( 5, 9)( 6,15)( 7,16)(10,17)(11,18)(19,25)(20,26)
(21,27)(22,28)(23,29)(24,30),( 1, 8,25,29,23,16,21,10, 7, 5,27,30,22,13,19, 3,
 11,12,26,28,24,18,20, 6)( 2,14, 4,17, 9,15)],
[[[[]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]]],[[[2,1,1,1],[1,1,2,-1,
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3,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[3,1,5,-1,4,1,5,1,3,-1,4,
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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],[2,1,3,2,4,1,2,
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1],[2,2,1,1],[3,1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,
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1],[2,1,1,1],[3,1,1,1,4,1,2,1,4,-1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,-2]],[[1,1,2,
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4,1,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,4,1,1]],[[2,1,1,1],[
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1,2,1],[3,2,2,2]],[[2,1,1,1],[1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,
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1],[3,2,2,2]],[[1,1,2,1],[2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,2],[4,1,1,1,2,
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1]]],[[[2,1,1,1,2,1,1,1]],[[2,3,1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,2]],[[
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1],[3,2,1,1,2,1]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[2,1,
1,1],[1,1,2,2,3,-2]]],[[[2,1,1,1,2,-1,1,1,2,-2]],[[1,1,2,1],[2,1,3,2,1,1,3,
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LIBTOM( "3^2.3^(1+2):8.2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,2,6],[1,2,7],[1,2,3,8],[1,3,4,9],[1,2,5,10],[
1,3,4,11],[1,2,4,12],[1,3,5,13],[1,2,6,7,14],[1,2,3,6,8,15],[1,2,6,16],[1,4,
17],[1,4,5,18],[1,4,19],[1,2,5,6,10,20],[1,2,5,7,10,21],[1,2,3,5,8,10,13,22],[
1,2,3,4,8,9,11,12,23],[1,2,3,6,7,8,14,15,16,24],[1,2,4,12,17,25],[1,3,4,5,9,
13,18,26],[1,3,4,9,19,27],[1,3,4,9,11,17,28],[1,3,4,5,11,13,18,29],[1,3,4,11,
19,30],[1,2,4,12,19,31],[1,2,4,5,10,12,18,32],[1,2,5,6,7,10,14,20,21,33],[1,2,
3,5,6,8,10,13,15,20,22,34],[1,2,5,6,10,16,20,35],[1,4,5,17,18,36],[1,4,17,19,
37],[1,2,4,6,12,17,25,38],[1,2,4,7,12,17,25,39],[1,2,3,4,8,9,11,12,17,23,25,
28,40],[1,2,3,4,8,9,11,12,19,23,27,30,31,41],[1,2,3,4,5,8,9,10,11,12,13,18,22,
23,26,29,32,42],[1,2,3,5,6,7,8,10,13,14,15,16,20,21,22,24,33,34,35,43],[1,2,4,
5,10,12,17,18,25,32,36,44],[1,3,4,5,9,11,13,17,18,26,28,29,36,45],[1,2,4,12,
17,19,25,31,37,46],[1,3,4,9,11,17,19,27,28,37,47],[1,3,4,9,11,17,19,28,30,37,
48],[1,2,4,6,7,12,14,17,25,38,39,49],[1,2,4,6,12,16,17,25,38,50],[1,2,3,4,6,8,
9,11,12,15,17,23,25,28,38,40,51],[1,4,5,17,18,19,36,37,52],[1,2,4,5,6,10,12,
17,18,20,25,32,36,38,44,53],[1,2,3,4,5,8,9,10,11,12,13,17,18,22,23,25,26,28,
29,32,36,40,42,44,45,54],[1,2,4,5,7,10,12,17,18,21,25,32,36,39,44,55],[1,2,3,
4,8,9,11,12,17,19,23,25,27,28,30,31,37,40,41,46,47,48,56],[1,2,3,4,6,7,8,9,11,
12,14,15,16,17,23,24,25,28,38,39,40,49,50,51,57],[1,3,4,5,9,11,13,17,18,19,26,
27,28,29,36,37,45,47,52,58],[1,3,4,5,9,11,13,17,18,19,26,28,29,30,36,37,45,48,
52,59],[1,2,4,5,10,12,17,18,19,25,31,32,36,37,44,46,52,60],[1,2,4,5,6,10,12,
16,17,18,20,25,32,35,36,38,44,50,53,61],[1,2,3,4,5,6,8,9,10,11,12,13,15,17,18,
20,22,23,25,26,28,29,32,34,36,38,40,42,44,45,51,53,54,62],[1,2,4,5,6,7,10,12,
14,17,18,20,21,25,32,33,36,38,39,44,49,53,55,63],[1,4,5,17,18,19,36,37,52,
64],[1,2,3,4,5,8,9,10,11,12,13,17,18,19,22,23,25,26,27,28,29,30,31,32,36,37,
40,41,42,44,45,46,47,48,52,54,56,58,59,60,65],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,18,20,21,22,23,24,25,26,28,29,32,33,34,35,36,38,39,40,42,43,44,45,
49,50,51,53,54,55,57,61,62,63,66],[1,2,4,5,10,12,17,18,19,25,31,32,36,37,44,
46,52,60,64,67],[1,3,4,5,9,11,13,17,18,19,26,27,28,29,30,36,37,45,47,48,52,58,
59,64,68],[1,2,4,5,6,10,12,17,18,19,20,25,31,32,36,37,38,44,46,52,53,60,64,67,
69],[1,2,3,4,5,8,9,10,11,12,13,17,18,19,22,23,25,26,27,28,29,30,31,32,36,37,
40,41,42,44,45,46,47,48,52,54,56,58,59,60,64,65,67,68,70],[1,2,4,5,7,10,12,17,
18,19,21,25,31,32,36,37,39,44,46,52,55,60,64,67,71],[1,2,3,4,5,6,8,9,10,11,12,
13,15,17,18,19,20,22,23,25,26,27,28,29,30,31,32,34,36,37,38,40,41,42,44,45,46,
47,48,51,52,53,54,56,58,59,60,62,64,65,67,68,69,70,72],[1,2,4,5,6,7,10,12,14,
17,18,19,20,21,25,31,32,33,36,37,38,39,44,46,49,52,53,55,60,63,64,67,69,71,
73],[1,2,4,5,6,10,12,16,17,18,19,20,25,31,32,35,36,37,38,44,46,50,52,53,60,61,
64,67,69,74],[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]],
0,[[1],[1,1],[1,1],[1,1],[1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,3,1,1],[1,1,1,1],[
1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,2,1],[1,1,4,1,2,1],[1,1,1,1],[1,4,1],[1,1,
3,1],[1,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,4,1,3,1,1,1,
1],[1,1,4,1,2,2,1,1,1,1],[1,9,4,12,1,1],[1,9,1,3,3,9,1,1],[1,9,1,3,1,1],[1,3,
4,1,3,1,1],[1,3,1,3,3,1,1,1],[1,1,1,1,1,1],[1,9,1,3,1,1],[1,3,1,3,3,1,1,1],[1,
1,1,1,2,1,1,1,2,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,1,1,1,3,1,1],[1,4,9,1,12,
1],[1,4,1,3,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,9,6,4,9,2,6,12,1,6,1,
2,1],[1,9,10,1,9,3,1,3,1,3,1,1,1,1],[1,3,12,1,3,9,3,3,3,1,10,1,3,3,1,1,1,1],[
1,1,12,1,1,2,6,1,4,1,3,3,1,2,2,3,1,1,1,1],[1,9,4,9,9,12,1,12,1,12,1,1],[1,9,4,
9,3,9,9,1,12,1,3,9,1,1],[1,27,4,36,1,3,3,9,1,1],[1,9,4,3,9,1,3,1,3,1,1],[1,3,
4,1,3,1,3,1,3,1,1],[1,9,4,9,18,12,9,1,1,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,9,12,
4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,4,9,1,12,9,1,3,1],[1,9,4,9,9,9,12,1,12,9,
1,12,1,1,1,1],[1,9,18,4,9,27,6,9,18,12,18,1,12,9,18,1,2,6,18,12,1,3,6,1,2,1],[
1,9,4,9,9,9,12,1,12,9,1,12,1,1,1,1],[1,27,12,4,27,4,12,36,1,3,18,3,1,4,3,9,1,
3,3,1,1,1,1],[1,9,12,4,9,18,18,4,12,12,9,9,9,1,12,9,1,4,1,2,2,1,1,1,1],[1,27,
4,9,9,27,27,1,12,9,3,9,9,27,1,3,3,9,1,1],[1,9,4,9,3,9,9,1,12,9,1,3,9,9,1,3,1,
3,1,1],[1,27,4,9,27,36,1,12,9,3,9,36,1,3,3,1,1,1],[1,9,4,9,9,9,12,27,1,12,9,1,
12,9,1,1,1,3,1,1],[1,9,36,4,9,9,54,12,9,36,12,36,27,1,12,9,18,36,1,4,12,36,12,
9,1,1,6,12,1,4,3,1,2,1],[1,9,4,9,9,18,9,12,9,1,12,9,18,1,12,9,1,1,2,1,1,1,2,
1],[1,4,9,1,12,36,1,12,4,1],[1,27,36,4,9,81,12,27,36,36,36,1,12,9,27,54,3,4,9,
12,36,9,9,36,1,3,9,9,18,3,4,1,9,3,1,3,3,1,1,1,1],[1,9,36,4,9,9,18,54,12,9,36,
12,36,9,27,27,1,12,9,18,18,36,27,1,4,12,36,12,9,9,9,1,1,2,6,12,9,1,4,1,3,3,1,
2,2,3,1,1,1,1],[1,81,4,9,81,108,1,12,36,9,108,108,1,12,9,12,4,12,1,1],[1,27,4,
9,9,27,27,1,12,36,3,9,9,27,27,1,12,3,9,9,4,1,3,1,1],[1,81,4,9,81,81,108,1,12,
36,81,9,108,108,1,12,9,9,12,4,9,12,1,1,1],[1,81,54,4,9,243,18,81,54,108,54,1,
12,36,81,162,9,6,18,18,54,54,108,108,1,12,27,54,54,9,6,12,18,18,4,9,18,2,6,12,
1,6,1,2,1],[1,81,4,9,81,81,108,1,12,36,81,9,108,108,1,12,9,9,12,4,9,12,1,1,
1],[1,81,108,4,9,81,486,36,81,108,108,108,243,1,12,36,81,162,324,9,12,36,36,
108,108,108,108,81,1,12,9,54,108,108,9,12,12,36,36,27,4,9,18,36,4,12,12,9,1,
12,1,4,1,2,1],[1,81,4,9,81,162,81,108,81,1,12,36,81,162,9,108,108,81,1,12,9,
18,9,12,9,4,9,18,12,9,1,1,1,2,1],[1,81,4,9,81,81,108,243,1,12,36,81,9,108,108,
81,1,12,9,9,12,27,4,9,12,9,1,1,1,1],[1,81,108,4,9,81,162,486,36,81,108,108,
108,81,243,243,1,12,36,81,162,162,324,243,9,12,36,36,108,108,108,108,81,81,81,
1,12,9,18,54,108,108,81,9,12,12,36,36,9,27,27,4,9,18,18,36,27,4,12,12,9,9,9,1,
12,9,1,4,1,2,2,1,1,1,1]],
[1,2,2,3,3,4,4,4,6,6,6,6,6,8,8,8,9,9,9,12,12,12,12,16,18,18,18,18,18,18,18,18,
24,24,24,27,27,36,36,36,36,36,48,54,54,54,54,54,72,72,72,81,108,108,108,108,
144,162,162,162,216,216,216,243,324,432,486,486,972,972,972,1944,1944,1944,
3888],
[75,43,41,70,66,43,33,15,56,43,41,42,42,43,24,24,75,65,56,43,33,34,23,24,66,
65,56,56,42,41,41,42,43,43,43,75,65,66,63,51,41,42,43,66,65,65,56,56,66,57,57,
70,66,62,63,56,57,70,65,65,66,66,66,75,65,66,75,70,75,72,73,75,75,75,75],
[1,1,1,1,1,1,1,1,4,1,1,4,5,2,2,1,1,1,1,1,1,5,4,6,17,18,19,4,5,1,19,4,2,10,5,1,
1,17,17,17,19,18,20,17,18,37,19,4,25,17,25,4,17,36,17,37,38,52,18,37,36,44,25,
36,52,53,64,52,64,64,64,67,67,64,69],
[( 1,13)( 2,14)( 3,15)( 4,16)( 5,17)( 6,18)( 7,19)( 9,20)(10,21)(11,22)(12,23)
(25,42)(28,43)(29,37)(31,36)(32,44)(33,50)(34,51)(35,52)(38,53)(39,48)(41,45)
(46,63)(47,61)(49,64)(54,65)(55,71)(57,62)(58,72)(59,73)(60,77)(67,74)(68,79)
(70,80)(75,81)(76,78),( 1,60,42,24)( 2,59,41,23)( 3,26, 4,25)( 5,35,16,27)
( 6,65,45,28)( 7,56,38,20)( 8,66,46,29)( 9,67,47,30)(10,57,39,21)(11,68,48,31)
(12,69,49,32)(13,19,14,33)(15,74,54,34)(17,70,51,36)(18,75,55,37)(22,76,58,40)
(43,62,44,61)(50,79,78,63)(52,73,64,53)(71,72,81,77)],
[[[[]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1,3,2,2,1]]],[[[
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1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,-1,2,-2,4,
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2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,4,-1]]],[[[1,1,2,1],[2,1,
3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,4,-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],[3,1,4,1,2,-2,3,1,4,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,-2,
1,1,2,-1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,1,3,-1,2,-1]]],[[[1,1]],[[
1,1,2,-2,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,2,1,4,-1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,
1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,
3,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,
1,1,2,-1,3,1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[2,1,3,1,
1,1,2,-1,1,1,2,-1,3,1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,2]],[[1,1,2,1],[
1,1,2,-1,3,1,1,1,2,-1,3,1,1,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,3,1,4,1]],[[2,1,1,
1],[2,1,3,-1,2,-1,1,1,2,1,3,2]]],[[[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],[3,2,2,1],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[1,1,2,
-1],[2,1,1,1,3,-2],[4,1,5,-1,4,1,5,-1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,1,4,-1,3,1]]],[[[2,1,1,1,2,-1,1,1,2,
-2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,
2]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,2,3,-1]]],[[[2,-2],[3,1,2,1,1,1,3,1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,4,-1]]],[[[2,1,1,1],[3,1,2,-1,
1,1,3,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-4,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
2,2,1]],[[1,1,2,1],[2,-2,3,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,
3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,3,1],[4,
1,3,1,4,1,3,1]],[[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],[2,1,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,
1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,-2,1,
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],[2,1,4,1,3,-1,
2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,
1]]],[[[1,1,2,1],[2,1,3,2,1,1,3,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,3]]],[[[2,
1,1,1,2,-1,1,1,2,-2]],[[1,1,2,-1,1,1,2,1,1,1,2,1,1,1]]],[[[2,1,1,1,2,-2]],[[2,
1,1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,
3,-1]]],[[[2,1,1,1,2,-2,1,1,2,1]],[[2,1,1,1],[3,2,2,-1,1,1,2,1,1,1]]],[[[2,-2,
1,1,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,
1,1,3,2,2,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,
2,-1]]],[[[1,1,2,1],[2,1,3,2]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,
-2,1,1]],[[1,1,2,1],[2,1,3,2,1,1,3,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
-1]]],[[[2,1,1,1,2,-1]],[[2,-1,1,1,2,-1,1,1,2,1]]],[[[2,1,1,1,2,-1]],[[2,1,1,
1,2,-2,1,1,2,1]],[[1,1,2,1],[1,1,2,-1,3,2,2,1]]],[[[1,1,2,1],[2,1,1,1,3,2,2,
1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]]],[[[2,1,1,1,2,-2,1,1,2,1]],[[1,1,2,
1],[2,1,3,1],[4,1,3,1,4,1,3,1]]],[[[2,-2,1,1,2,-1]],[[1,1,2,1],[2,1,3,1],[4,1,
3,1,4,1,3,1]]],[[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1],[3,2,2,-2]]],[[[1,1,2,1],[
2,1,3,2]],[[2,-2,1,1,2,1,1,1,2,-1]]],[[[1,1,2,-2,1,1,2,-2]],[[2,1,1,1,2,-2,1,
1,2,1]]],[[[1,1,2,-2,1,1]],[[1,1,2,1],[2,1,1,1,3,2,2,1]],[[1,1,2,-1,1,1,2,-2,
1,1,2,-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]]],[[[2,-2]],[[1,1,2,-2,1,1]],[[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,-2]],[[2,-1,1,1,2,1,1,1]]],[[[2,1,1,1,2,1]],[[1,1,
2,-2,1,1]]],[[[2,-2]],[[1,1,2,1,1,1]]],[[[1,1]],[[2,1,1,1,2,1]]],[[[2,-1]],[[
1,1,2,1,1,1]]],[[[2,-2]],[[1,1,2,1]]],[[[1,1]],[[2,1]]]]);


LIBTOM( "19:18",
[[1],[1,2],[1,3],[1,2,3,4],[1,3,5],[1,2,3,4,5,6],[1,7],[1,2,7,8],[1,3,7,9],[1,
2,3,4,7,8,9,10],[1,3,5,7,9,11],[1,2,3,4,5,6,7,8,9,10,11,12]],
0,[[1],[1,1],[1,1],[1,1,1,1],[1,1,1],[1,1,1,1,1,1],[1,1],[1,19,1,1],[1,19,1,
1],[1,19,19,19,1,1,1,1],[1,19,19,1,1,1],[1,19,19,19,19,19,1,1,1,1,1,1]],
[1,2,3,6,9,18,19,38,57,114,171,342],
[12,6,6,6,6,6,12,12,12,12,12,12],
[1,1,1,1,1,1,1,7,7,7,7,7],
[( 1, 2)( 3, 4)( 5, 7)( 6, 9)( 8,11)(10,13)(12,14)(15,17)(16,19),
( 1, 2,16,12, 9, 7, 8, 5, 3)( 4,17,13,18,15,11,14,10, 6)],
[[[[]]],[[[2,2,1,1,2,-1,1,1,2,-1,1,1]]],[[[2,2,1,1,2,-1,1,1,2,2]]],[[[2,1,1,
1],[3,2,2,1,1,1]]],[[[2,1,1,1,2,2,1,1,2,1]]],[[[2,1,1,1]]],[[[1,1,2,1,1,1,2,
-1]]],[[[1,1]],[[2,1,1,1,2,-1]]],[[[2,3]],[[1,1,2,1,1,1,2,-1]]],[[[1,1]],[[2,
3]]],[[[2,1]],[[1,1,2,1,1,1]]],[[[1,1]],[[2,1]]]]);


AFLT( "2^3:7:3","J1",[1,2,3,4,8,9,10,15,21,23,30,38] );

AFLT( "2^3:7:3","L2(8).3",[1,2,4,5,7,8,9,13,17,18,22,23] );

AFLT( "2xA5","J1",[1,2,2,2,3,4,4,4,5,8,6,7,10,11,13,12,15,16,20,23,32,37] );

AFLT( "2xA5","l3(4).2_3",[1,3,2,3,4,5,11,11,12,14,15,13,18,31,30,29,32,36,55,
58,75,88] );

AFLT( "2xA5","L2(16).2",[1,2,3,2,4,5,9,9,10,13,12,11,14,19,21,20,22,23,29,30,
37,42] );

AFLT( "19:6","J1",[1,2,3,8,19,27,31,36] );

AFLT( "11:10","J1",[1,2,5,13,14,22,29,35] );

AFLT( "11:10","S11",[1,5,36,165,166,483,1339,1913] );

AFLT( "11:10","L2(11).2",[1,3,8,15,16,22,25,27] );

AFLT( "D6xD10","J1",[1,2,2,2,3,4,5,6,8,7,11,12,13,16,18,20,24,25,26,34] );

AFLT( "D6xD10","L2(16).2",[1,2,2,3,4,9,10,11,13,12,19,20,21,23,24,29,33,32,31,
38] );

AFLT( "7:6","J1",[1,2,3,8,9,17,21,28] );

AFLT( "7:6","L2(7).2",[1,3,4,8,11,17,19,21] );

AFLT( "7:6","L2(8).3",[1,2,4,7,8,14,17,20] );

AFLT( "7:6","S7",[1,4,6,21,23,48,56,76] );

AFLT( "3.PGL2(9)","J2",[1,2,3,4,5,6,10,9,11,14,16,13,20,25,21,26,27,30,31,38,
35,40,34,41,45,54,55,57,62,64,68,67,70,72,73,71,80,92,96,97,101,106,114,125,
130,141,144] );

AFLT( "2^(1+4)-:A5","J2",[1,2,2,3,4,6,10,7,9,10,9,9,8,12,16,14,16,19,20,24,24,
22,23,23,19,23,21,25,21,32,28,29,40,33,41,38,47,47,46,49,48,50,51,50,51,51,52,
54,53,59,61,61,64,68,65,67,65,65,74,77,76,78,76,75,79,86,89,90,92,90,88,98,
102,103,104,111,109,108,116,118,123,126,129,134,137,143] );

AFLT( "2^(1+4)-:A5","J3",[1,2,2,2,3,5,7,5,6,7,6,6,6,8,11,9,11,15,13,16,16,12,
12,12,15,12,14,17,14,23,22,21,28,24,29,27,32,32,31,34,33,35,37,35,37,37,36,38,
39,45,46,46,51,49,52,50,52,52,58,60,61,62,61,59,63,69,73,71,74,71,70,82,84,85,
86,96,93,95,99,100,104,108,111,116,119,128] );

AFLT( "2^(2+4):(3xS3)","J2",[1,2,2,3,4,5,5,6,7,10,6,10,8,9,16,13,17,16,22,24,
19,20,20,19,23,24,25,21,26,34,33,38,35,36,39,36,40,38,37,46,47,48,50,49,47,49,
51,52,53,54,55,61,62,66,65,64,74,75,76,77,79,78,80,81,84,85,88,87,90,90,91,86,
102,103,104,106,110,108,112,118,119,126,127,128,136,137,138,142] );

AFLT( "2^(2+4):(3xS3)","J3",[1,2,2,2,3,3,4,5,5,7,5,7,6,6,11,10,11,11,12,16,15,
13,13,15,12,16,17,14,19,24,24,27,25,25,27,24,28,27,26,31,32,33,35,34,32,34,37,
36,39,38,42,46,47,52,52,51,58,59,61,60,63,62,66,66,67,68,70,70,71,71,72,69,84,
85,86,88,94,95,97,100,102,108,109,110,118,119,122,127] );

AFLT( "A4xA5","J2",[1,3,2,3,4,5,5,7,6,7,8,8,9,9,11,13,17,15,16,23,22,23,26,27,
31,30,33,34,39,38,34,35,36,42,43,36,37,45,46,55,56,58,57,63,66,65,71,81,80,82,
85,84,87,88,97,100,105,115,117,119,125,131,140] );

AFLT( "A5xD10","J2",[1,2,3,3,4,7,8,9,11,12,11,12,14,14,16,23,27,28,31,30,32,
29,30,29,33,41,45,56,57,58,59,65,69,72,73,71,82,93,94,95,98,100,101,113,117,
116,132,139] );

AFLT( "A5xD10","U3(4).2",[1,2,3,2,4,7,5,5,8,9,9,8,12,11,10,15,19,23,21,20,18,
22,22,20,25,24,27,36,34,35,33,37,38,41,42,40,49,52,51,53,56,55,54,63,64,65,72,
75] );

AFLT( "5^2:D12","J2",[1,2,3,3,5,9,12,11,17,13,15,27,28,32,30,31,29,42,59,57,
69,93,95,94,107,113,120,122,121,133] );

AFLT( "5^2:D12","U3(4).2",[1,2,3,2,4,5,9,8,10,11,12,19,23,18,20,21,22,24,33,
34,38,52,53,51,60,63,68,67,69,71] );

AFLT( "3.A6.2^2","J2.2",[1,2,3,4,5,6,7,13,14,11,14,11,10,16,18,20,23,19,22,25,
39,31,42,30,33,46,34,41,38,45,35,48,49,52,53,57,61,66,63,68,56,65,70,69,75,79,
83,85,111,104,91,94,103,112,114,113,116,120,116,128,125,147,137,141,143,140,
142,144,149,131,136,146,139,130,153,157,156,155,174,188,189,192,215,216,220,
209,218,219,217,212,225,226,227,231,233,232,251,249,254,277,281,283,282,289,
287,298,305,321,320,322,338,347,357,364,366,365,369] );

AFLT( "2^(1+4)-.S5","J2.2",[1,2,2,4,3,5,7,13,14,8,10,11,13,10,9,12,15,11,17,
23,18,23,20,18,43,42,31,39,44,27,44,40,32,43,28,40,46,29,30,34,41,45,35,39,33,
28,34,47,32,38,33,36,37,54,51,50,66,68,63,55,65,61,69,70,70,68,82,83,80,88,82,
92,81,89,109,108,107,92,84,101,98,106,90,93,91,87,99,95,111,96,102,105,86,85,
93,104,108,110,103,94,98,102,100,103,97,84,86,122,118,117,124,124,147,137,141,
140,134,143,144,142,139,134,146,129,149,125,158,164,162,169,166,168,159,170,
163,183,169,180,168,171,165,172,178,167,186,184,179,182,160,173,176,185,181,
184,161,175,174,177,186,193,203,200,199,204,202,207,201,202,219,220,200,207,
217,218,216,215,213,209,205,210,228,234,235,236,238,240,239,237,241,236,242,
246,248,238,247,244,243,245,261,258,263,266,264,259,265,260,262,274,273,274,
277,275,285,291,295,290,293,294,292,296,303,306,312,309,313,314,315,310,317,
326,328,334,340,342,341,345,352,355,363,368] );

AFLT( "2^(1+4)-.S5","J3.2",[1,3,3,3,2,4,6,9,10,6,7,8,9,7,7,8,10,8,11,16,12,16,
13,12,25,24,26,21,32,18,32,23,27,25,18,23,34,19,20,31,22,33,29,21,28,18,31,33,
27,30,28,29,30,40,38,39,45,46,50,41,51,44,48,47,47,46,55,56,53,61,55,65,54,62,
80,79,78,65,57,71,76,70,64,67,63,59,77,69,81,66,72,74,58,60,67,75,79,82,73,68,
76,72,77,73,69,57,58,95,94,93,96,96,114,103,109,110,111,107,105,108,104,111,
106,101,115,102,121,127,125,130,131,133,122,129,126,140,130,141,133,144,128,
143,137,132,134,148,136,135,123,145,138,149,142,148,124,146,147,139,134,160,
163,165,168,164,167,170,166,167,177,175,165,170,179,178,182,181,176,180,169,
172,192,196,197,198,199,201,202,200,203,198,206,208,204,199,209,205,207,210,
225,233,230,227,229,234,228,235,226,237,236,237,242,241,248,253,256,252,257,
255,254,258,266,273,280,275,282,276,284,283,281,290,292,297,304,308,305,310,
317,322,333,345] );

AFLT( "2^(2+4):(S3xS3)","J2.2",[1,2,2,4,3,3,5,6,6,7,8,13,7,13,9,10,14,11,11,
15,12,11,18,18,23,19,18,24,23,25,22,22,27,44,31,43,30,32,40,43,39,42,31,28,45,
46,34,41,44,33,29,35,32,40,38,35,33,46,47,30,37,36,48,56,55,57,61,58,60,58,68,
61,70,63,70,66,67,72,68,70,59,75,80,81,82,92,88,82,84,83,90,106,108,107,109,
101,88,98,93,111,85,101,96,102,103,84,89,107,99,86,108,90,106,94,86,95,105,93,
86,91,104,87,110,94,97,100,112,113,114,124,128,125,134,135,136,149,147,129,
130,149,143,125,131,137,132,150,133,132,159,158,160,169,168,166,163,170,179,
176,182,165,172,171,178,184,173,167,164,183,180,162,186,175,181,185,182,171,
161,176,177,174,186,188,187,189,197,206,205,198,203,199,200,207,208,202,207,
202,211,210,213,214,212,220,234,240,237,238,239,241,236,242,248,235,246,244,
247,245,243,254,251,249,252,267,274,264,274,273,273,259,261,272,271,270,268,
276,269,275,290,291,292,294,293,295,296,297,298,306,307,308,311,316,312,318,
328,329,340,339,343,341,342,344,346,349,356,355,358,359,360,367] );

AFLT( "2^(2+4):(S3xS3)","J3.2",[1,3,3,3,2,2,4,4,5,6,6,9,6,9,7,7,10,8,8,10,8,
8,12,12,16,15,12,16,16,17,12,14,18,32,26,25,20,27,23,25,21,24,26,18,33,34,31,
22,32,28,19,29,27,23,30,29,28,34,33,20,30,29,36,41,41,42,44,41,44,42,46,44,47,
50,47,45,45,47,46,47,43,49,53,54,55,65,61,55,57,56,64,70,79,78,80,71,61,76,67,
81,60,71,66,72,73,57,62,78,77,58,79,64,70,68,58,69,74,67,58,63,75,59,82,68,69,
77,85,88,87,96,97,102,111,111,113,115,114,101,101,115,107,102,99,103,99,115,
100,101,122,121,123,130,133,131,126,129,136,138,135,128,143,144,137,148,145,
132,127,140,141,125,134,146,142,149,135,144,124,138,139,147,134,155,155,157,
161,169,169,162,163,168,165,170,171,167,170,167,172,172,176,176,173,175,196,
201,200,199,202,203,198,206,204,197,208,205,209,210,207,219,215,217,215,231,
237,229,237,236,236,234,225,240,239,238,222,241,224,241,252,253,254,255,257,
256,258,262,264,273,272,274,279,277,280,285,292,294,304,303,306,305,308,307,
309,315,321,322,329,331,330,341] );

AFLT( "2^(2+4):(S3xS3)","McL.2",[1,2,3,2,3,2,5,5,5,8,8,6,9,7,8,8,7,8,9,7,8,9,
17,16,13,17,18,13,14,14,18,18,20,28,30,24,21,32,25,23,27,22,31,20,28,28,32,27,
29,31,20,32,33,26,32,33,30,29,28,21,32,32,36,48,48,49,59,49,59,48,54,60,50,57,
53,47,47,53,52,55,49,55,65,66,67,75,72,68,83,84,71,69,80,78,79,90,73,89,76,79,
84,91,75,90,92,85,73,82,89,88,81,74,70,76,87,75,92,77,86,71,92,83,80,77,75,89,
95,107,107,118,126,122,136,136,137,140,138,128,128,139,124,123,127,134,128,
139,127,127,157,158,159,162,164,165,155,163,176,178,168,160,172,173,177,181,
174,166,161,180,167,156,170,174,167,181,169,175,159,179,178,172,171,201,201,
191,212,225,225,212,222,214,219,228,226,218,227,220,230,230,229,229,231,238,
270,273,274,277,278,275,276,283,272,281,284,279,271,282,280,306,309,312,309,
332,343,345,344,341,342,331,329,339,337,338,340,346,340,346,388,389,393,390,
391,394,392,395,414,432,433,434,441,437,448,447,484,486,515,516,518,520,519,
517,521,541,580,581,599,598,602,644] );

AFLT( "2^(2+4):(S3xS3)","L3(4).D12",[1,3,2,3,4,5,6,6,8,9,9,15,10,16,11,11,17,
12,13,17,12,14,19,26,30,21,23,30,29,33,23,25,35,39,47,44,37,50,57,45,58,46,49,
35,42,40,48,59,41,51,36,53,52,60,55,54,56,43,42,38,55,53,62,67,67,68,70,67,70,
68,77,71,78,86,76,85,85,76,81,74,69,84,91,92,93,95,102,94,124,123,103,131,110,
108,109,115,104,121,96,114,129,118,98,117,116,127,107,112,122,126,111,105,132,
97,125,100,120,99,128,106,119,130,113,101,100,122,136,142,144,154,155,160,163,
163,165,167,169,158,158,166,168,161,159,170,159,166,157,158,176,177,178,184,
180,181,185,183,205,199,207,189,195,194,206,187,193,182,190,202,191,186,203,
197,192,188,208,198,179,201,200,196,204,220,220,215,233,235,235,234,243,238,
240,237,239,242,236,241,244,244,247,247,245,248,262,264,267,265,268,263,266,
270,273,275,274,272,269,271,276,285,289,288,289,296,304,298,305,299,300,306,
307,303,301,302,293,308,295,308,325,324,330,326,328,329,327,332,339,344,343,
345,348,346,350,349,356,357,369,370,371,373,372,374,375,380,387,388,393,392,
394,397] );

AFLT( "(A4xA5):2","J2.2",[1,4,2,4,3,5,6,6,8,7,8,9,15,12,10,10,9,11,15,12,14,
16,19,24,21,18,25,23,22,22,27,28,36,28,45,47,47,29,37,36,37,35,38,48,49,52,53,
55,56,60,56,57,58,61,72,64,67,73,71,62,70,74,66,75,59,58,79,80,99,97,97,100,
95,100,114,113,112,115,121,120,119,116,126,129,135,134,127,138,150,148,145,
151,130,130,149,132,132,131,133,155,161,187,188,189,190,191,192,205,198,206,
197,213,211,210,214,221,227,230,233,250,252,253,251,256,269,275,268,276,284,
286,287,297,299,305,323,325,324,327,329,338,348,354,362] );

AFLT( "(A4xA5):2","A9",[1,2,2,3,2,4,4,6,7,7,8,9,12,10,11,13,13,10,14,11,12,15,
17,18,16,17,18,18,17,20,27,27,33,30,36,32,36,26,38,34,37,33,38,40,45,47,46,48,
48,51,53,53,53,51,59,60,58,55,57,50,59,55,58,59,54,56,63,64,73,70,71,69,71,73,
82,82,75,84,85,86,87,88,92,90,94,94,93,101,99,98,103,106,90,109,99,109,105,
109,102,115,120,124,124,127,130,132,131,136,134,136,135,137,138,138,137,141,
150,152,153,158,156,159,156,163,171,172,168,172,176,177,178,180,181,188,195,
197,196,198,201,205,206,211,216] );

AFLT( "(A5xD10).2","J2.2",[1,2,4,4,5,8,14,9,10,15,16,17,16,17,20,20,23,28,47,
45,49,50,52,53,54,51,51,52,55,65,66,69,79,100,115,116,121,120,117,122,119,118,
118,119,134,139,152,155,156,157,190,192,191,193,213,222,224,223,228,230,231,
233,232,256,278,279,280,286,285,289,319,327,326,330,350,361] );

AFLT( "L3(2).2x2","J2.2",[1,3,3,2,3,4,6,7,14,11,13,12,11,10,11,12,25,21,24,22,
19,22,25,26,30,33,41,34,32,46,31,40,29,35,38,57,74,62,75,73,75,72,74,78,76,77,
110,94,96,101,104,105,102,123,136,131,128,127,154,185,196,195,194,212,257,304,
337,335,336,353] );

AFLT( "5^2:(4xS3)","J2.2",[1,2,4,4,6,15,15,10,16,17,19,21,24,47,50,49,54,51,
53,52,64,73,67,118,122,117,120,119,119,138,152,193,191,222,223,224,255,278,
280,279,300,301,302,319,333,332,331,351] );

AFLT( "5^2:(4xS3)","L2(25).2_2",[1,2,3,4,5,9,12,11,13,14,17,16,15,27,30,29,31,
32,34,33,35,40,42,52,51,55,53,54,50,60,69,71,72,76,77,78,82,83,85,84,93,92,94,
95,98,99,100,101] );

AFLT( "2^4:(3xA5)","J3",[1,2,2,3,3,4,5,5,6,6,7,6,8,10,11,11,12,12,16,15,12,14,
19,21,24,24,24,25,24,25,27,27,26,26,30,31,31,33,32,37,35,37,42,52,46,52,52,48,
55,59,59,61,66,66,67,67,68,68,70,70,70,72,71,78,79,84,90,92,94,94,102,102,103,
107,110,109,110,108,113,115,120,122,124,132] );

AFLT( "(3xA6):2_2","J3",[1,2,2,3,4,3,5,7,6,8,9,11,10,13,14,17,18,19,19,21,23,
22,27,25,28,24,29,30,38,41,42,45,47,49,51,50,53,56,55,57,65,66,74,75,78,83,88,
89,98,107,112,117,123,126,130] );

AFLT( "3^2.3^(1+2):8","J3",[1,2,4,3,7,11,10,17,18,19,20,28,41,43,42,49,53,54,
65,75,76,89,91,98,105,112,114,121,125,129] );

AFLT( "2^4:(3xA5).2","J3.2",[1,3,3,2,4,4,5,6,6,7,7,7,9,10,8,8,10,11,12,15,16,
16,14,17,12,18,18,19,32,25,18,19,33,33,24,27,30,34,29,31,33,23,30,29,30,36,38,
41,41,41,44,42,42,44,41,43,43,47,45,47,45,49,52,53,53,54,55,76,65,76,69,77,69,
78,64,77,70,66,77,63,58,69,87,85,88,94,111,111,96,111,98,100,101,101,112,101,
115,101,100,99,99,115,119,123,123,124,141,126,133,131,141,142,142,135,136,124,
155,155,157,161,161,162,169,169,169,162,172,172,176,167,172,176,176,168,170,
171,174,189,190,195,196,204,205,203,204,201,205,215,215,220,223,222,231,231,
232,224,222,241,241,239,224,236,241,249,250,254,262,262,265,271,273,274,274,
272,277,279,277,279,278,289,295,294,296,294,298,302,307,308,309,309,312,315,
316,323,324,331,334,343,350] );

AFLT( "2^4:(3xA5).2","M23",[1,2,2,2,3,3,3,4,4,5,4,4,6,6,5,5,6,7,8,8,9,9,8,9,8,
13,11,12,16,15,11,13,17,16,14,18,19,17,19,19,16,20,18,19,19,21,22,25,25,24,28,
26,24,28,26,27,26,30,29,30,29,30,32,34,33,35,36,37,40,38,41,38,40,42,43,39,45,
41,38,43,44,40,47,46,47,48,51,52,54,52,57,56,58,59,53,59,61,60,60,58,60,61,62,
64,63,65,68,66,67,71,69,70,68,73,72,64,76,76,77,79,80,81,83,83,82,80,86,87,91,
93,87,92,91,84,90,89,88,97,99,101,102,103,108,106,104,105,107,112,112,113,115,
116,119,120,121,118,117,124,123,125,117,126,124,128,130,131,132,133,135,142,
146,144,143,145,147,154,148,153,149,155,160,157,159,158,161,169,173,172,170,
171,175,176,177,182,185,186,189,195,196] );

AFLT( "2^4:(3xA5).2","L3(4).3.2_2",[1,2,2,3,4,4,6,7,7,8,9,9,10,12,11,11,12,13,
15,16,18,18,17,19,15,21,22,24,25,26,22,23,29,28,27,30,35,33,32,34,28,36,31,32,
35,38,40,41,41,42,44,43,43,44,42,45,46,48,47,48,47,49,51,53,52,54,55,57,58,56,
62,64,60,59,63,61,68,67,64,66,65,60,73,70,72,75,81,79,80,79,89,85,83,88,86,88,
91,83,87,90,90,91,93,95,94,97,98,101,99,100,102,105,104,106,103,96,109,109,
110,114,113,115,117,117,118,116,123,126,120,119,126,122,120,121,124,125,128,
132,134,135,137,142,143,138,140,139,141,147,147,149,152,153,154,155,158,157,
150,162,163,161,156,160,162,166,167,169,170,171,173,176,177,179,180,178,182,
184,183,181,186,188,195,194,193,191,197,200,204,203,201,202,207,208,209,213,
215,216,218,220,222] );

AFLT( "2^4:(3xA5).2","L3(4).3.2_2",[1,2,2,3,4,4,6,7,7,9,8,8,10,12,11,11,12,13,
15,16,18,18,17,19,15,22,21,23,25,26,21,24,28,29,27,30,31,33,32,34,29,36,35,32,
31,38,40,42,42,41,44,43,43,44,41,46,45,48,47,48,47,49,51,52,53,54,55,56,58,57,
60,61,62,59,63,64,68,67,61,66,65,62,73,70,72,75,79,81,80,81,84,87,88,83,82,83,
91,88,85,90,90,91,93,94,95,96,102,101,99,100,98,104,105,106,103,97,109,109,
110,113,114,116,118,118,117,115,126,123,122,119,123,120,122,121,124,125,127,
132,133,135,137,140,141,138,142,139,143,147,147,148,151,150,155,154,159,156,
153,163,162,161,157,160,163,165,167,169,171,170,174,176,177,180,179,178,183,
181,182,184,185,189,190,191,192,194,196,200,204,203,202,201,206,208,210,212,
214,216,217,219,221] );

AFLT( "L2(17)x2","J3.2",[1,2,2,3,5,7,6,8,9,10,8,8,17,14,15,20,19,27,22,34,31,
23,26,28,29,30,37,42,43,49,68,75,66,74,82,72,71,83,89,91,90,100,113,112,97,99,
98,149,152,150,151,158,173,174,213,211,212,261,259,260,293,342,349] );

AFLT( "(3xM10):2","J3.2",[1,3,2,3,4,5,4,6,9,10,8,10,7,8,11,12,13,16,14,15,12,
17,24,21,26,20,31,28,22,34,33,30,29,35,36,36,38,39,40,42,44,50,46,45,41,47,51,
48,49,52,56,75,73,81,68,63,60,84,85,87,86,88,87,93,95,94,97,102,109,114,107,
105,103,108,110,113,106,104,115,99,101,116,119,118,120,147,153,154,155,156,
157,160,182,181,179,177,178,180,175,173,183,184,189,194,195,193,214,215,216,
217,219,218,242,243,245,244,251,250,264,263,271,288,286,287,301,302,311,318,
319,320,328,332,340,339,338,348] );

AFLT( "3^2.3^(1+2):8.2","J3.2",[1,3,2,5,4,9,10,8,14,16,17,15,12,24,28,22,35,
36,37,50,51,47,49,60,84,85,89,86,87,91,90,88,108,107,110,116,117,153,154,156,
158,157,179,183,184,185,186,187,214,216,218,221,243,245,244,246,263,267,269,
268,288,286,287,291,299,311,313,314,325,327,326,335,336,337,346] );

AFLT( "19:18","J3.2",[1,2,5,17,37,91,92,159,188,247,270,300] );

#############################################################################

#############################################################################
##
#E