Quelle  ctbline1.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctbline1.tbl                GAP table library               Thomas Breuer
##
##  This file contains the Brauer character tables related to the
##  linear groups $L_2(q)$ of the ATLAS, that is, for q in
##  [ 8, 11, 13, 16, 17, 19, 23, 25, 27, 29, 31, 32 ]
##  (see file 'ctoline1.tbl') modulo all prime divisors of the group order.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctbline1.tbl,v $
#H  Revision 4.6  2012/03/28 13:05:25  gap
#H  encode the table of L2(25).2^2 mod 5 via the GV4 construction
#H      TB
#H
#H  Revision 4.5  2011/09/28 12:12:36  gap
#H  removed Revision entries and SET_TABLEFILENAME calls
#H      TB
#H
#H  Revision 4.4  2004/08/31 11:51:19  gap
#H  added 3.A6.2^2 mod 2, 5,
#H        A6.2^2 mod 2, 5,
#H        L2(25).2^2 mod 2, 3, 5, 13,
#H        L2(49).2^2 mod 2, 3, 5,
#H        L2(81).2^2 mod 2, 5, 41,
#H        L2(81).(2x4) mod 2,
#H        3.L3(4).2^2 mod 2, 5, 7,
#H        3.L3(4).3.2_2 mod 2, 5, 7,
#H        L3(4).2^2 mod 2, 3, 5, 7,
#H        L3(4).3.2_2 mod 3, 5, 7,
#H        L3(4).3.2_3 mod 3, 5, 7,
#H        L3(4).D12 mod 2, 3, 5, 7,
#H        L3(9).2^2 mod 2, 3, 5, 7, 13,
#H        O8+(2).3.2 mod 3, 5, 7,
#H        O8+(3).3.2 mod 5, 7, 13,
#H        O8+(3).(2^2)_{111} mod 2, 5, 7, 13,
#H        O8+(3).(2^2)_{122} mod 2, 5, 7, 13,
#H        O8+(3).D8 mod 2, 5, 7, 13,
#H        O8+(3).A4 mod 2, 5, 7, 13,
#H        O8+(3).S4 mod 13,
#H        3_1.U4(3).2_2' mod 2, 5, 7,
#H        3_2.U4(3).2_3' mod 2, 5, 7,
#H        3_2.U4(3).(2^2)_{133} mod 2, 5, 7,
#H        6_2.U4(3).2_3' mod 5, 7,
#H        U4(3).(2^2)_{122} mod 2, 3, 5, 7,
#H        U4(3).(2^2)_{133} mod 2, 3, 5, 7,
#H        U4(3).D8 mod 2, 3, 5, 7,
#H        U6(2).3.2 mod 3, 5, 7, 11,
#H  extended `InfoText' values, added missing table automorphisms
#H      TB
#H
#H  Revision 4.3  2001/05/04 16:56:04  gap
#H  first revision for ctbllib
#H
#H
#H  tbl history (GAP 4)
#H  -------------------
#H  (Rev. 4.3 of ctbllib coincides with Rev. 4.2 of tbl in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tbl/ctbline1.tbl,v
#H  Working file: ctbline1.tbl
#H  head: 4.2
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H   GAP4R2: 4.2.0.8
#H   GAP4R2PRE2: 4.2.0.6
#H   GAP4R2PRE1: 4.2.0.4
#H   GAP4R1: 4.2.0.2
#H  keyword substitution: kv
#H  total revisions: 3; selected revisions: 3
#H  description:
#H  ----------------------------
#H  revision 4.2
#H  date: 1999/07/14 11:39:37;  author: gap;  state: Exp;  lines: +4 -3
#H  cosmetic changes for the release ...
#H  
#H      TB
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/07/17 15:34:56;  author: fceller;  state: Exp;  lines: +2 -2
#H  for version 4
#H  ----------------------------
#H  revision 1.1
#H  date: 1996/10/21 15:58:25;  author: sam;  state: Exp;
#H  first proposal of the table library
#H  ==========================================================================
##

TEXT1:= "origin: modular ATLAS of finite groups, tests: DEC, TENS";

MBT("2.L2(11).2",11,
TEXT1,
[4,4,4,4,4,4,4,4,4,4],
[1],
[],
[[[3,8],[2,9],[7,11],[6,10],[1,6],[1,7],[2,10],[3,11],[5,9],[4,8]]],
[],
[["L2(11).2",0]],
[(13,14)(15,16)(17,18)(19,20)(21,22)],
0);

MBT("2.L2(11).2",3,
TEXT1,
[8,9,10,11,12,13,14],
[0,1,1,0,0,0,0],
[],
[,[[1,2,3]],2],
[],
[["L2(11).2",0]],
[(11,12),(13,14)(15,16),( 4, 6)( 5, 7)(13,15,14,16)],
0);

MBT("2.L2(11).2",5,
TEXT1,
[8,9,10,11,12,13,14],
[1,0,0,0,0,0,0],
[],
[[[1,2,3,4,5]]],
[],
[["L2(11).2",0]],
[( 6, 7)(13,15)(14,16),(11,12)(13,14)(15,16)],
0);

MBT("2.L2(11)",11,
TEXT1,
[3,3,3,3,3],
[1],
[],
[[[3,6],[5,7],[1,2,5],[3,7],[4,6]]],
[],
[["L2(11)",0]],
[],
0);

MBT("2.L2(11)",3,
TEXT1,
[5,6,7,8,9],
[0,0,1,0,0],
[],
[,,[[1,2,3]]],
[],
[["L2(11)",0]],
[( 8,10)( 9,11),(4,6)(5,7)],
0);

MBT("2.L2(11)",5,
TEXT1,
[6,6,7,8,9],
[1,0,0,0],
[],
[[[1,3,4],[2,3,4]]],
[],
[["L2(11)",0]],
[(6,7),( 8,10)( 9,11)],
0);

MBT("2.L2(13).2",13,
TEXT1,
[4,4,4,4,4,4,4,4,4,4,4,4],
[1],
[],
[[[5,11],[4,10],[6,8],[7,9],[1,12],[1,13],[7,13],[6,12],[4,9],[5,8],[2,10],[3,
11]]],
[],
[["L2(13).2",0]],
[(15,16)(17,18)(19,20)(21,22)(23,24)(25,26)],
0);

MBT("2.L2(13).2",3,
TEXT1,
[10,11,12,13,14,15,16,17,18],
[0,0,0,0,0,0,0,1,1],
[],
[,,,,,,,[[1,2,3]],8],
[],
[["L2(13).2",0]],
[(13,14),(15,16)(17,18)(19,20),( 4, 6, 8)( 5, 7, 9)(15,17,19)(16,18,20)],
0);

MBT("2.L2(13).2",7,
TEXT1,
[8,9,10,11,12,13,14],
[1,0,0,0,0,0,0],
[],
[[[1,2,3,4,5,6,7]]],
[],
[["L2(13).2",0]],
[(11,12)(13,14)(15,16),( 6, 7)(13,15)(14,16)],
0);

MBT("2.L2(13)",13,
TEXT1,
[3,3,3,3,3,3],
[1],
[],
[[[4,7],[5,6],[1,2,8],[5,8],[4,6],[3,7]]],
[],
[["L2(13)",0]],
[],
0);

MBT("2.L2(13)",3,
TEXT1,
[6,7,8,9,10,11],
[0,0,0,0,0,1],
[],
[,,,,,[[1,2,3]]],
[],
[["L2(13)",0]],
[(10,12)(11,13),(4,6,8)(5,7,9)],
0);

MBT("2.L2(13)",7,
TEXT1,
[6,6,7,8,9],
[1,0,0,0],
[],
[[[1,3,4,5],[2,3,4,5]]],
[],
[["L2(13)",0]],
[(6,7),( 8,10)( 9,11)],
0);

MBT("2.L2(17).2",17,
TEXT1,
[4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],
[1],
[],
[[[2,10],[3,11],[7,17],[6,16],[9,12],[8,13],[1,14],[1,15],[8,15],[9,14],[6,
13],[7,12],[3,16],[2,17],[5,11],[4,10]]],
[],
[["L2(17).2",0]],
[(19,20)(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)],
0);

MBT("2.L2(17).2",3,
TEXT1,
[10,11,12,13,14,15,16,17,18],
[2,0,0,0,0,0,0,0,0],
[],
[[[1,2,3,4,5,6,7,8,9]]],
[],
[["L2(17).2",0]],
[(13,14)(15,16)(17,18)(19,20),( 6, 7)( 8, 9)(13,17,14,18)(15,20,16,19),( 4, 5)
( 6, 8, 7, 9)(13,15,17,20,14,16,18,19)],
0);

MBT("2.L2(17)",17,
TEXT1,
[3,3,3,3,3,3,3,3],
[1],
[],
[[[3,7],[5,10],[6,8],[1,2,9],[6,9],[5,8],[3,10],[4,7]]],
[],
[["L2(17)",0]],
[],
0);

MBT("2.L2(17)",3,
TEXT1,
[7,7,8,9,10,11],
[2,0,0,0,0],
[],
[[[1,3,4,5,6],[2,3,4,5,6]]],
[],
[["L2(17)",0]],
[(10,12)(11,13),(6,7)(8,9),(4,5)(6,8,7,9)],
0);

MBT("2.L2(19).2",19,
TEXT1,
[4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],
[1],
[],
[[[5,18],[4,19],[3,12],[2,13],[8,15],[9,14],[10,17],[11,16],[1,11],[1,10],[9,
16],[8,17],[2,14],[3,15],[4,13],[5,12],[7,19],[6,18]]],
[],
[["L2(19).2",0]],
[(21,22)(23,24)(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)],
0);

MBT("2.L2(19).2",3,
TEXT1,
[12,13,14,15,16,17,18,19,20,21,22],
[2,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,2,3,4,5,6,7,8,9]]],
[],
[["L2(19).2",0]],
[( 8, 9)(10,11)(17,21)(18,22)(19,23)(20,24),(15,16)(17,18)(19,20)(21,22)
(23,24),( 4, 6)( 5, 7)( 8,10, 9,11)(17,19,21,23)(18,20,22,24)],
0);

MBT("2.L2(19).2",5,
TEXT1,
[12,13,14,15,16,17,18,19,20,21,22],
[0,1,1,0,0,0,0,0,0,0,0],
[],
[,[[1,2,3,4,5]],2],
[],
[["L2(19).2",0]],
[(15,16),(17,18)(19,20)(21,22)(23,24),( 6, 8,10)( 7, 9,11)(19,21,23)
(20,22,24)],
0);

MBT("2.L2(19)",19,
TEXT1,
[3,3,3,3,3,3,3,3,3],
[1],
[],
[[[4,11],[3,8],[6,9],[7,10],[1,2,7],[6,10],[3,9],[4,8],[5,11]]],
[],
[["L2(19)",0]],
[],
0);

MBT("2.L2(19)",3,
TEXT1,
[8,8,9,10,11,12,13],
[2,0,0,0,0,0],
[],
[[[1,3,4,5,6],[2,3,4,5,6]]],
[],
[["L2(19)",0]],
[(12,14)(13,15),( 8, 9)(10,11),( 4, 6)( 5, 7)( 8,10, 9,11)],
0);

MBT("2.L2(19)",5,
TEXT1,
[7,8,9,10,11,12,13],
[0,0,1,0,0,0,0],
[],
[,,[[1,2,3,4,5]]],
[],
[["L2(19)",0]],
[(12,14)(13,15),( 6, 8,10)( 7, 9,11)],
0);

MBT("2.L2(23).2",11,
TEXT1,
[14,15,16,17,18,19,20,21,22,23,24,25,26],
[1,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,2,3,4,5,6,7,8,9,10,11]]],
[],
[["L2(23).2",0]],
[( 8, 9)(10,12)(11,13)(21,23)(22,24)(25,27)(26,28),(17,18)(19,20)(21,22)
(23,24)(25,26)(27,28),( 6, 7)(10,11)(12,13)(17,19,18,20)(21,25,22,26)
(23,27,24,28)],
0);

MBT("2.L2(23).2",23,
TEXT1,
[4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],
[1],
[],
[[[2,14],[3,15],[12,23],[13,22],[9,18],[8,19],[5,16],[4,17],[10,20],[11,21],[
1,11],[1,10],[4,21],[5,20],[8,17],[9,16],[13,19],[12,18],[3,22],[2,23],[7,
15],[6,14]]],
[],
[["L2(23).2",0]],
[(25,26)(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)(39,40)(41,42)(43,44)
(45,46)],
0);

MBT("2.L2(23).2",3,
TEXT1,
[16,17,18,19,20,21,22,23,24,25,26,27,28,29,30],
[0,1,1,1,1,0,0,0,0,0,0,0,0,0,0],
[],
[,[[1,2,3]],2,2,2],
[],
[["L2(23).2",0]],
[(19,20)(21,22),( 4, 5)(19,21,20,22),( 4, 5)(19,22,20,21),(23,24)(25,26)
(27,28)(29,30)(31,32),( 6, 8,10,12,14)( 7, 9,11,13,15)(23,25,27,29,31)
(24,26,28,30,32)],
0);

MBT("2.L2(23)",11,
TEXT1,
[9,9,10,11,12,13,14,15],
[1,0,0,0,0,0,0],
[],
[[[1,3,4,5,6,7],[2,3,4,5,6,7]]],
[],
[["L2(23)",0]],
[(14,16)(15,17),( 8, 9)(10,12)(11,13),( 6, 7)(10,11)(12,13)],
0);

MBT("2.L2(23)",23,
TEXT1,
[3,3,3,3,3,3,3,3,3,3,3],
[1],
[],
[[[3,9],[8,13],[6,11],[4,10],[7,12],[1,2,7],[4,12],[6,10],[8,11],[3,13],[5,
9]]],
[],
[["L2(23)",0]],
[],
0);

MBT("2.L2(23)",3,
TEXT1,
[9,10,11,12,13,14,15,16,17],
[0,0,1,1,0,0,0,0,0],
[],
[,,[[1,2,3]],3],
[],
[["L2(23)",0]],
[(16,18)(17,19),(4,5),( 6, 8,10,12,14)( 7, 9,11,13,15)],
0);

MBT("2.L2(25).2_1",13,
TEXT1,
[14,15,16,17,18,19,20,21,22,23,24,25,26],
[1,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,2,3,4,5,6,7,8,9,10,11,12,13]]],
[],
[["L2(25).2_1",0]],
[(17,18)(19,20)(21,22)(23,24)(25,26)(27,28),( 6, 7)(12,13)(14,15)(17,19,18,20)
(21,25,22,26)(23,28,24,27),(10,11)(12,14)(13,15)(21,27)(22,28)(23,25)(24,26)],
0);

MBT("2.L2(25).2_1",3,
TEXT1,
[18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1],
[],
[,,,,,,,,,,,,,[[1,2,3]],14,14,14],
[],
[["L2(25).2_1",0]],
[(21,22)(23,24),( 4, 5)(21,23,22,24),( 4, 5)(21,24,22,23),(25,26)(27,28)
(29,30)(31,32)(33,34)(35,36),( 8,10)( 9,11)(12,14)(13,15)(16,18)(17,19)
(25,27,26,28)(29,31,30,32)(33,35,34,36),( 8,12,16)( 9,13,17)(10,14,18)
(11,15,19)(25,29,33)(26,30,34)(27,31,35)(28,32,36)],
0);

MBT("2.L2(25).2_1",5,
TEXT1,
[4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],
[2],
[[28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51]],
[],
[[[0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0],[0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,0,0,0,-1,0,0,-1,
0,0,0,1,0,0,0,0,0,1,0,0,0,0],[0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,1,0,0,
0],[0,0,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,1,0,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,-1,0,
0,-1,0,0,0,1,0,1,0,0,0,0,0,0],[0,-1,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,1,0,
0,1],[1,1,0,1,1,1,0,1,1,1,1,0,1,-1,-1,0,-1,-1,-1,0,-1,-1,-1,-1],[0,0,0,-1,0,0,
0,-1,0,-1,0,0,0,1,0,0,0,0,1,0,0,0,1,0],[0,0,0,0,-1,0,0,0,-1,0,-1,0,0,0,1,0,0,
1,0,0,0,1,0,0],[0,-1,0,-1,0,-1,0,-1,0,0,0,0,-1,1,0,0,1,0,1,0,1,0,0,1],[1,1,0,
1,0,1,0,1,0,1,1,0,1,-1,0,0,-1,0,-1,0,-1,-1,-1,-1],[0,0,-1,-1,0,0,-1,-1,0,-1,0,
0,0,1,0,1,0,0,1,1,0,0,1,0],[0,-1,0,0,-1,-1,0,0,-1,0,-1,0,0,0,1,0,1,1,0,0,1,1,
0,0],[-1,-1,0,-1,0,0,0,-1,0,-1,0,0,-1,1,0,0,1,0,1,0,0,1,1,1],[0,1,0,1,0,1,1,1,
0,1,0,0,1,-1,0,0,-1,0,-1,-1,-1,0,0,-1],[0,1,0,0,1,1,0,1,1,0,1,0,1,0,-1,0,-1,
-1,-1,0,-1,-1,0,0],[0,0,1,1,0,0,1,1,1,1,0,1,0,-1,0,-1,0,-1,-1,-1,0,0,-1,0],[0,
0,0,0,0,0,1,0,1,0,0,1,0,0,0,-1,0,-1,0,0,0,0,0,0],[0,0,0,0,0,1,0,1,0,0,0,0,1,0,
0,0,-1,0,-1,0,0,0,0,0],[0,0,0,0,0,1,0,0,1,0,1,0,0,0,-1,0,0,0,0,0,-1,0,0,0],[0,
0,0,0,0,0,1,1,0,1,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0]]],
[["L2(25).2_1",0]],
[(27,28)(29,30)(31,32)(33,34)(35,36)(37,38)(39,40)(41,42)(43,44)(45,46)(47,48)
(49,50),( 6, 7)( 8, 9)(10,13)(11,12)(14,16)(15,17)(18,20)(19,21)(22,24)(23,25)
(27,29,28,30)(31,33,32,34)(35,38,36,37)(39,41,40,42)(43,45,44,46)
(47,49,48,50)],
0);

MBT("2.L2(25).2_2",13,
TEXT1,
[13,13,13,13,14,15,16],
[1,0,0,0],
[],
[[[1,5,6,7],[2,5,6,7],[3,5,6,7],[4,5,6,7]]],
[],
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MBT("L2(11).2",5,
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MBT("L2(11)",11,
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MBT("L2(11)",3,
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MBT("L2(11)",5,
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MBT("L2(13).2",13,
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MBT("L2(13).2",2,
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MBT("L2(13).2",3,
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MBT("L2(13).2",7,
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MBT("L2(13)",13,
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MBT("L2(13)",2,
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MBT("L2(16).2",17,
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MBT("L2(16).2",2,
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MBT("L2(16).2",5,
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MBT("L2(16).4",17,
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MBT("L2(16).4",2,
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MBT("L2(16).4",5,
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MBT("L2(16)",2,
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MBT("L2(17).2",17,
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MBT("L2(19).2",19,
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MBT("L2(19).2",5,
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MBT("L2(19)",19,
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MBT("L2(19)",3,
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MBT("L2(23).2",11,
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MBT("L2(23).2",2,
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MBT("L2(23).2",23,
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MBT("L2(23).2",3,
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[1,-1,-1,-1,-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]);

MBT("L2(32)",3,
TEXT1,
[1,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21],
[1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,3],[2,3]],[[1,2,3]],2,2,2,2],
[],
0,
[( 8, 9,10,11,12)(13,14,15,16,17)(18,19,20,21,22),( 8,13,18)( 9,14,19)
(10,15,20)(11,16,21)(12,17,22),(3,4,5,6,7)],
0);

MBT("L2(32)",31,
TEXT1,
[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,1],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17],[2,3,4,5,6,7,8,9,10,11,12,13,14,
15,16,17]]],
[],
0,
[( 9,14)(10,15)(11,16)(12,17)(13,18),( 4, 5, 6, 7, 8)( 9,10,11,12,13)
(14,15,16,17,18)],
0);

MBT("L2(8).3",2,
TEXT1,
[1,1,1,1,1,2,3,4],
[3,0,0,0],
[[1,2,3,4,7]],
[],
[[[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[-1,0,0,1,0],[0,-1,-1,-1,1]]],
0,
[(5,6)(7,8)],
[1,0,0,-1,1,1,0,0]);

MBT("L2(8).3",3,
TEXT1,
[1,1,2],
[3,0],
[[1,4]],
[],
[[[1,0],[0,1]]],
0,
[],
0);

MBT("L2(8).3",7,
TEXT1,
[1,1,1,2,3,4,5,1,1,1],
[1,0,0,0,0],
[],
[[[1,7],[2,7],[3,7],[4,7],[5,7],[6,7]]],
[],
0,
[( 5, 6)( 7, 8)( 9,10)],
0);

MBT("L2(8)",2,
TEXT1,
[1,1,1,1,1,1,1,2],
[3,0],
[[1,2,3,4,5,7,8]],
[],
[[[1,0,0,0,0,0,0],[0,0,-1,0,0,1,0],[0,0,0,-1,0,0,1],[-1,1,1,1,0,-1,-1],[0,-1,
-1,0,0,1,1],[-1,0,1,0,1,-1,0],[-1,0,1,1,0,0,-1]]],
0,
[(3,4,5)(6,7,8)],
[1,-1,-1,-1,1,1,1,1]);

MBT("L2(8)",3,
TEXT1,
[1,1,2,3,4],
[2,0,0,0],
[],
[[[1,6],[2,3,4,5,6]]],
[],
0,
[(3,4,5)],
0);

MBT("L2(8)",7,
TEXT1,
[1,2,3,4,5,1],
[1,0,0,0,0],
[],
[[[1,3,4,5],[2,3,4,5]]],
[],
0,
[(4,5,6)],
0);

LIBTABLE.LOADSTATUS.ctbline1:="userloaded";

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