Quelle ctomisc2.tbl Sprache: unbekannt

#############################################################################
##
#W  ctomisc2.tbl                GAP table library               Thomas Breuer
##
##  This file contains the ordinary character tables of miscellaneous
##  CAS tables (alphabetical order, 'f' to 'o')
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctomisc2.tbl,v $
#H  Revision 4.36  2012/04/23 16:16:14  gap
#H  next step of consolidation:
#H
#H  - removed a few unnecessary duplicate tables,
#H    and changed some related fusions, names of maxes, table constructions
#H  - make sure that duplicate tables arise only via `ConstructPermuted'
#H    constructions
#H  - added some relative names
#H  - added fusions A11.2 -> A12.2, L2(11).2 -> A12.2, D8x2F4(2)'.2 -> B,
#H    L2(41) -> M, (A5xA12):2 -> A17,
#H  - added maxes of A12.2, L6(2), 2.M22.2
#H  - added table of QD16.2,
#H  - fixed the syntax of two `ALN' calls
#H      TB
#H
#H  Revision 4.35  2012/01/30 08:31:57  gap
#H  removed #H entries from the headers
#H      TB
#H
#H  Revision 4.34  2011/09/28 13:26:41  gap
#H  - removed revision entry and SET_TABLEFILENAME call,
#H  - added fusions hed3 -> He.2d3, hed3 -> He,
#H  - fixed the InfoText of 2.Fi22M5
#H      TB
#H
#H  Revision 4.33  2010/05/05 13:20:07  gap
#H  - added many class fusions,
#H  - changed several class fusions according to consistency conditions,
#H    after systematic checks of consistency
#H    - with Brauer tables w.r.t. the restriction of characters,
#H    - of subgroup fusions with the corresponding subgroup fusions between
#H      proper factors where the factor fusions are stored,
#H    - of subgroup fusions from maximal subgroups with subgroup fusions of
#H      extensions inside automorphic extensions
#H
#H      TB
#H
#H  Revision 4.32  2010/01/19 17:05:34  gap
#H  added several tables of maximal subgroups of central extensions of
#H  simple groups (many of them were contributed by S. Dany)
#H      TB
#H
#H  Revision 4.31  2009/04/22 12:39:05  gap
#H  added missing maxes of He.2, ON.2, HN.2, Fi24, and B
#H      TB
#H
#H  Revision 4.30  2004/08/31 12:33:33  gap
#H  added tables of 4.L2(25).2_3,
#H                  L2(49).2^2,
#H                  L2(81).2^2,
#H                  L2(81).(2x4),
#H                  3.L3(4).3.2_2,
#H                  L3(9).2^2,
#H                  L4(4).2^2,
#H                  2x2^3:L3(2)x2,
#H                  (2xA6).2^2,
#H                  2xL2(11).2,
#H                  S3xTh,
#H                  41:40,
#H                  7^(1+4):(3x2.S7),
#H                  7xL2(8),
#H                  (7xL2(8)).3,
#H                  O7(3)N3A,
#H                  O8+(3).2_1',
#H                  O8+(3).2_1'',
#H                  O8+(3).2_2',
#H                  O8+(3).(2^2)_{122},
#H                  S4(9),
#H                  S4(9).2_i,
#H                  2.U4(3).2_2',
#H                  2.U4(3).(2^2)_{133},
#H                  2.U4(3).D8,
#H                  3.U6(2).S3,
#H  added fusions 3.A6.2_i -> 3.A6.2^2,
#H                L2(49).2_i -> L2(49).2^2,
#H                L3(9).2_i -> L3(9).2^2,
#H                L4(4).2_i -> L4(4).2^2,
#H                G2(3) -> O7(3),
#H                L2(17) -> S8(2),
#H                2.L3(4).2_2 -> 2.M22.2
#H                3.L3(4).2_2 -> 3.L3(4).3.2_2
#H                3.L3(4).3 -> 3.L3(4).3.2_2
#H                2^5:S6 -> 2.M22.2
#H                O8+(3) -> O8+(3).2_1',
#H                O8+(3) -> O8+(3).2_1'',
#H                O8+(3) -> O8+(3).2_2',
#H                O8+(3) -> O8+(3).(2^2)_{122},
#H                O8+(3).2_1 -> O8+(3).(2^2)_{122},
#H                O8+(3).2_2 -> O8+(3).(2^2)_{122},
#H                2.U4(3) -> 2.U4(3).2_2',
#H                2.U4(3).2_1 -> 2.U4(3).(2^2)_{133},
#H                2.U4(3).2_2 -> O7(3),
#H                2.U4(3).2_2' -> U4(3).2_2,
#H                2.U4(3).2_3 -> 2.U4(3).(2^2)_{133},
#H                2.U4(3).2_3' -> 2.U4(3).(2^2)_{133},
#H                2.U4(3).4 -> 2.U4(3).D8,
#H                3.U6(2).2 -> 3.U6(2).S3,
#H                3.U6(2).3 -> 3.U6(2).S3,
#H  replaced table of psl(3,4):d12 by L3(4).D12,
#H  changed table of O8+(3).S4 to a construction table,
#H  changed encoding of the table of 12.A6.2_3,
#H  added maxes of Sz(8), Sz(8).3,
#H      TB
#H
#H  Revision 4.29  2004/03/30 08:10:59  gap
#H  turned u4q3.s3 into an explicit direct product called S3xU4(3)
#H      TB
#H
#H  Revision 4.28  2003/11/12 17:41:14  gap
#H  renamed Fi22.2M6 to Fi22.2M4
#H      TB
#H
#H  Revision 4.27  2003/10/06 07:16:34  gap
#H  corrected table automorphisms of `"group3"' (why was it wrong?)
#H      TB
#H
#H  Revision 4.26  2003/07/22 15:11:17  gap
#H  added table of 2^(1+6)_+.A8 (maximal in 2.O8+(2))
#H      TB
#H
#H  Revision 4.25  2003/06/20 15:03:09  gap
#H  added several fusions
#H      TB
#H
#H  Revision 4.24  2003/05/23 15:06:16  gap
#H  added some fusions
#H      TB
#H
#H  Revision 4.23  2003/05/15 17:38:17  gap
#H  next step towards the closer connection to the library of tables of marks:
#H  added fusions tbl -> tom, adjusted fusions between character tables
#H  in order to make the diagrams commute, adjusted orderings of maxes
#H      TB
#H
#H  Revision 4.22  2003/03/07 15:53:40  gap
#H  added tables of `Isoclinic(2.A5.2)' and `L2(125)',
#H  and many `tomidentifier' components (still several are missing)
#H      TB
#H
#H  Revision 4.21  2003/01/22 12:32:12  gap
#H  made "2^6:S6(2)" an admissible name for "2^6:s6f2"
#H      TB
#H
#H  Revision 4.20  2003/01/21 16:25:32  gap
#H  further standardizations of `InfoText' strings,
#H  added and corrected `Maxes' infos,
#H  added some fusions
#H      TB
#H
#H  Revision 4.19  2003/01/14 17:28:50  gap
#H  changed `InfoText' values (for a better programmatic access)
#H  and replaced `ConstructDirectProduct' by `ConstructPermuted' where
#H  there is only one factor (again better programmatic handling)
#H      TB
#H
#H  Revision 4.18  2002/10/22 12:44:12  gap
#H  added 215 factor fusions for cases <tbl> -> <tbl> / O_{<p>}(<tbl>)
#H  (they make it possible to construct <p>-modular Brauer tables
#H  for tables of the type [p^n].<fact> where the <p>-modular Brauer table
#H  of <fact> is in the library)
#H      TB
#H
#H  Revision 4.17  2002/09/18 15:22:01  gap
#H  changed the `text' components of many fusions,
#H  in order to use them as a status information (for evaluation)
#H      TB
#H
#H  Revision 4.16  2002/07/17 15:25:32  gap
#H  added missing table automorphisms
#H      TB
#H
#H  Revision 4.15  2002/07/12 06:45:56  gap
#H  further tidying up: removed `irredinfo' stuff, rearranged constructions
#H      TB
#H
#H  Revision 4.14  2001/05/04 16:48:54  gap
#H  first revision for ctbllib
#H
#H
#H  tbl history (GAP 4)
#H  -------------------
#H  (Rev. 4.14 of ctbllib coincides with Rev. 4.13 of tbl in GAP 4)
#H
#H  RCS file: /gap/CVS/GAP/4.0/tbl/ctomisc2.tbl,v
#H  Working file: ctomisc2.tbl
#H  head: 4.13
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H   GAP4R2: 4.10.0.4
#H   GAP4R2PRE2: 4.10.0.2
#H   GAP4R2PRE1: 4.8.0.2
#H   GAP4R1: 4.6.0.2
#H  keyword substitution: kv
#H  total revisions: 14; selected revisions: 14
#H  description:
#H  ----------------------------
#H  revision 4.13
#H  date: 2000/03/27 11:42:00;  author: gap;  state: Exp;  lines: +148 -3
#H  added table of 6.Fi22M5 (Eamonn had asked for it ...)
#H
#H      TB
#H  ----------------------------
#H  revision 4.12
#H  date: 2000/03/27 09:54:45;  author: gap;  state: Exp;  lines: +117 -3
#H  added some tables of maxes of 2.Suz and corresponding fusions,
#H  added table of 3.Fi22M5
#H
#H      TB
#H  ----------------------------
#H  revision 4.11
#H  date: 2000/03/07 15:33:57;  author: gap;  state: Exp;  lines: +4 -2
#H  added factor fusion Fi22M5 -> M22 (needed for a table construction)
#H
#H      TB
#H  ----------------------------
#H  revision 4.10
#H  date: 2000/02/21 12:41:47;  author: gap;  state: Exp;  lines: +76 -3
#H  added tables of Fi22.2M6 and 2.Fi22M5
#H  (Eamonn had asked for them)
#H
#H      TB
#H  ----------------------------
#H  revision 4.9
#H  date: 2000/02/17 08:38:28;  author: gap;  state: Exp;  lines: +7 -2
#H  added table of 2^10:M22:2 < Fi22.2
#H
#H      TB
#H  ----------------------------
#H  revision 4.8
#H  date: 1999/10/21 14:15:47;  author: gap;  state: Exp;  lines: +5 -2
#H  added many `tomidentifer' and `tomfusion' values, which yields a better
#H  interface between `tom' and `tbl';
#H
#H  added maxes of McL.2,
#H
#H  unified tables `J2.2M4', `2^(2+4):(3x3):2^2', `2^(2+4):(S3xS3)'.
#H
#H      TB
#H  ----------------------------
#H  revision 4.7
#H  date: 1999/09/14 13:28:19;  author: gap;  state: Exp;  lines: +2 -108
#H  really removed corrupted tables (had only been commented out before)
#H
#H      TB
#H  ----------------------------
#H  revision 4.6
#H  date: 1999/07/14 14:19:56;  author: gap;  state: Exp;  lines: +107 -107
#H  removed incomplete CAS table of `iu332' (for the moment ...)
#H
#H      TB
#H  ----------------------------
#H  revision 4.5
#H  date: 1999/07/14 11:39:40;  author: gap;  state: Exp;  lines: +4 -3
#H  cosmetic changes for the release ...
#H
#H      TB
#H  ----------------------------
#H  revision 4.4
#H  date: 1998/12/14 12:51:19;  author: gap;  state: Exp;  lines: +6 -6
#H  fixed the name of a fusion destination
#H
#H      TB
#H  ----------------------------
#H  revision 4.3
#H  date: 1998/03/12 15:52:18;  author: gap;  state: Exp;  lines: +89 -74
#H  tables with names `mo81p' and `y' are both `2^6:A8';
#H  cleaned this situation, added some fusions
#H
#H      TB
#H  ----------------------------
#H  revision 4.2
#H  date: 1997/11/25 15:45:30;  author: gap;  state: Exp;  lines: +5 -4
#H  first attempt to link the library of character tables and the
#H      library of tables of marks
#H          TB
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/07/17 15:43:57;  author: fceller;  state: Exp;  lines: +2 -2
#H  for version 4
#H  ----------------------------
#H  revision 1.1
#H  date: 1996/10/21 16:00:25;  author: sam;  state: Exp;
#H  first proposal of the table library
#H  ==========================================================================
##

MOT("2^10:m22",
[
"origin: CAS library,\n",
"2..10.m22\n",
"2nd power map determined only up to matrix automorphisms,\n",
"tests: 1.o.r., pow[2,3,5,7,11],"
],
[454164480,20643840,1966080,589824,24576,8192,3072,1024,4096,1536,4096,512,
512,256,128,128,128,128,128,32,64,576,144,576,144,96,20,20,20,20,48,24,48,14,
14,14,14,32,32,32,32,11,11],
[,[1,1,1,1,1,1,3,3,3,4,3,5,5,5,9,9,11,5,6,10,11,22,22,22,22,22,27,27,27,27,22,
26,24,34,34,36,36,12,13,17,17,43,42],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,1,2,4,4,3,27,29,28,30,5,7,10,36,37,34,35,38,39,40,41,42,43],,[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,1,2,2,3,
31,32,33,36,37,34,35,38,39,41,40,42,43],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,29,28,30,31,32,33,1,2,1,2,38,39,41,40,43,
42],,,,[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,
27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,1,1]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[21,21,21,21,5,5,5,5,5,5,5,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,1,1,1,1,
-1,-1,-1,0,0,0,0,-1,-1,-1,-1,-1,-1],[45,45,45,45,-3,-3,-3,-3,-3,-3,-3,1,1,1,1,
1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,
E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,-1,-1,-1,-1,1,1],
[GALOIS,[3,3]],[55,55,55,55,7,7,7,7,7,7,7,3,3,3,3,3,3,-1,-1,-1,-1,1,1,1,1,1,0,
0,0,0,1,1,1,-1,-1,-1,-1,1,1,1,1,0,0],[99,99,99,99,3,3,3,3,3,3,3,3,3,3,3,3,3,
-1,-1,-1,-1,0,0,0,0,0,-1,-1,-1,-1,0,0,0,1,1,1,1,-1,-1,-1,-1,0,0],[154,154,154,
154,10,10,10,10,10,10,10,-2,-2,-2,-2,-2,-2,2,2,2,2,1,1,1,1,1,-1,-1,-1,-1,1,1,
1,0,0,0,0,0,0,0,0,0,0],[210,210,210,210,2,2,2,2,2,2,2,-2,-2,-2,-2,-2,-2,-2,-2,
-2,-2,3,3,3,3,3,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,1,1],[231,231,231,231,7,7,7,
7,7,7,7,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-3,-3,-3,-3,-3,1,1,1,1,1,1,1,0,0,0,0,-1,
-1,-1,-1,0,0],[385,385,385,385,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-2,-2,-2,-2,
-2,0,0,0,0,-2,-2,-2,0,0,0,0,1,1,1,1,0,0],[280,280,280,280,-8,-8,-8,-8,-8,-8,
-8,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,
E(11)+E(11)^3+E(11)^4+E(11)^5+E(11)^9,E(11)^2+E(11)^6+E(11)^7+E(11)^8+E(11)^10
],
[GALOIS,[11,2]],[77,-35,13,-3,13,-3,-7,1,5,1,-3,5,-3,1,1,-3,1,1,1,-1,1,5,1,-3,
-3,1,2,0,0,-2,1,-1,1,0,0,0,0,1,1,-1,-1,0,0],[385,-175,65,-15,17,1,-11,-3,9,5,
1,-3,5,1,-3,1,1,1,1,-1,1,7,5,-9,-3,-1,0,0,0,0,-1,1,-1,0,0,0,0,-1,-1,1,1,0,0],[
385,-175,65,-15,17,1,-11,-3,9,5,1,-3,5,1,-3,1,1,1,1,-1,1,-2,-4,6,0,2,0,0,0,0,
2,-2,2,0,0,0,0,-1,-1,1,1,0,0],[693,-315,117,-27,21,5,-15,-7,13,9,5,5,-3,1,1,
-3,1,1,1,-1,1,0,0,0,0,0,-2,0,0,2,0,0,0,0,0,0,0,1,1,-1,-1,0,0],[770,-350,130,
-30,-14,18,2,-14,2,10,18,-2,-2,-2,2,2,-2,-2,-2,2,-2,5,1,-3,-3,1,0,0,0,0,1,-1,
1,0,0,0,0,0,0,0,0,0,0],[1155,-525,195,-45,35,-13,-17,7,11,-1,-13,3,-5,-1,3,-1,
-1,-1,-1,1,-1,3,-3,3,-3,3,0,0,0,0,-1,1,-1,0,0,0,0,-1,-1,1,1,0,0],[1155,-525,
195,-45,-13,3,7,-1,-5,-1,3,-1,7,3,-5,-1,3,-1,-1,1,-1,3,-3,3,-3,3,0,0,0,0,-1,1,
-1,0,0,0,0,1,1,-1,-1,0,0],[616,-56,-24,8,24,-8,0,0,-8,0,8,4,4,-4,0,0,0,4,-4,0,
0,4,-2,-4,2,0,1,-1,-1,1,0,0,0,0,0,0,0,2,-2,0,0,0,0],[616,-56,-24,8,24,-8,0,0,
-8,0,8,4,4,-4,0,0,0,-4,4,0,0,4,-2,-4,2,0,1,-1,-1,1,0,0,0,0,0,0,0,-2,2,0,0,0,
0],[2310,-1050,390,-90,22,-10,-10,6,6,-2,-10,2,2,2,-2,-2,2,-2,-2,2,-2,-3,3,-3,
3,-3,0,0,0,0,1,-1,1,0,0,0,0,0,0,0,0,0,0],[3465,-1575,585,-135,-39,9,21,-3,-15,
-3,9,5,-3,1,1,-3,1,1,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,0,0],[
3465,-1575,585,-135,9,-7,-3,5,1,-3,-7,-7,1,-3,1,5,-3,1,1,-1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,1,-1,-1,0,0],[330,90,10,-6,26,10,6,-2,2,-2,-6,6,-2,2,-2,2,
-2,2,2,0,-2,6,0,6,0,-2,0,0,0,0,2,0,-2,1,-1,1,-1,0,0,0,0,0,0],[1980,540,60,-36,
60,28,12,-4,12,-12,-4,4,4,4,0,0,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,1,
0,0,0,0,0,0],[990,270,30,-18,-18,-2,-6,2,6,-6,14,2,-6,-2,-2,2,2,2,2,0,-2,0,0,
0,0,0,0,0,0,0,0,0,0,E(7)+E(7)^2+E(7)^4,-E(7)-E(7)^2-E(7)^4,
E(7)^3+E(7)^5+E(7)^6,-E(7)^3-E(7)^5-E(7)^6,0,0,0,0,0,0],
[GALOIS,[27,3]],[2310,630,70,-42,-10,6,-6,2,14,-14,22,-6,2,-2,2,-2,2,-2,-2,0,
2,6,0,6,0,-2,0,0,0,0,2,0,-2,0,0,0,0,0,0,0,0,0,0],[2310,630,70,-42,22,-26,18,
-6,14,2,-10,2,-6,-2,-2,2,2,-2,-2,0,2,6,0,6,0,-2,0,0,0,0,-2,0,2,0,0,0,0,0,0,0,
0,0,0],[2310,630,70,-42,22,38,-6,2,-18,2,-10,-6,2,-2,2,-2,2,2,2,0,-2,6,0,6,0,
-2,0,0,0,0,-2,0,2,0,0,0,0,0,0,0,0,0,0],[2640,720,80,-48,16,16,0,0,16,-16,16,0,
0,0,0,0,0,0,0,0,0,-6,0,-6,0,2,0,0,0,0,-2,0,2,1,-1,1,-1,0,0,0,0,0,0],[4620,
1260,140,-84,44,12,12,-4,-4,4,-20,-4,-4,-4,0,0,4,0,0,0,0,-6,0,-6,0,2,0,0,0,0,
2,0,-2,0,0,0,0,0,0,0,0,0,0],[6930,1890,210,-126,-30,-46,6,-2,10,6,2,-2,6,2,2,
-2,-2,2,2,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[6930,1890,210,
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,0,0],[8064,0,-384,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-E(5)+E(5)^2+E(5)^3-E(5)^4,E(5)-E(5)^2-E(5)^3+E(5)^4,1,0,0,0,0,0,0,0,0,0,0,0,1
,1],
[GALOIS,[21,2]]],]);
ALF("2^10:m22","Fi22",[1,2,3,4,3,4,10,13,9,12,11,9,11,13,27,28,29,13,12,
30,29,7,19,22,24,23,14,34,34,35,23,47,44,26,51,26,51,27,29,53,54,36,37],[
"fusion is unique up to table automorphisms,\n",
"the representative is equal to the fusion map on the CAS table"
]);
ALF("2^10:m22","Fi22.2M4",[1,2,3,4,5,6,9,11,7,10,8,17,18,19,21,22,20,24,
23,26,25,12,14,13,15,16,27,29,29,28,30,32,31,33,34,35,36,37,38,39,39,40,
40],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALF("2^10:m22","M22",[1,1,1,1,2,2,2,2,2,2,2,4,4,4,4,4,4,5,5,5,5,3,3,3,3,3,
6,6,6,6,7,7,7,8,8,9,9,10,10,10,10,11,12]);
ALN("2^10:m22",["f22m5"]);

MOT("2.Fi22M5",
[
"origin: computed from the character tables of Fi22M5, Fi22, and 2.Fi22,\n",
"the table is sorted w.r.t. the normal series 2 < 2^11 < 2^11.M22"
],
[908328960,908328960,41287680,41287680,3932160,3932160,589824,49152,49152,
8192,6144,6144,1024,4096,3072,3072,4096,512,512,256,128,128,128,128,256,256,
64,64,64,1152,1152,288,288,1152,1152,288,288,192,192,40,40,40,40,40,40,40,40,
96,96,48,48,96,96,28,28,28,28,28,28,28,28,32,32,32,32,22,22,22,22],
[,[1,1,1,1,1,1,1,1,1,1,5,5,5,6,7,7,6,9,9,8,14,14,17,8,10,10,15,15,17,30,30,30,
30,30,30,30,30,30,30,40,40,40,40,40,40,40,40,30,30,38,38,34,34,54,54,54,54,58,
58,58,58,18,19,23,23,68,68,66,66],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,1,2,3,4,7,7,7,7,5,6,40,41,44,45,42,43,46,
47,8,9,11,12,15,16,58,59,60,61,54,55,56,57,62,63,64,65,66,67,68,69],,[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,
32,33,34,35,36,37,38,39,1,2,3,4,3,4,5,6,48,49,50,51,52,53,58,59,60,61,54,55,
56,57,62,63,65,64,66,67,68,69],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,44,45,42,
43,46,47,48,49,50,51,52,53,1,2,3,4,1,2,3,4,62,63,65,64,68,69,66,67],,,,[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,
58,59,60,61,62,63,64,65,1,2,1,2]],
0,
[(66,68)(67,69),(64,65),(42,44)(43,45),(54,58)(55,59)(56,60)(57,61),( 3, 4)
(11,12)(27,28)(32,33)(36,37)(42,43)(44,45)(50,51)(56,57)(60,61)],
["ConstructProj",[["2^10:m22",[]],["2.Fi22M5",[]]]]);
ALF("2.Fi22M5","2^10:m22",[1,1,2,2,3,3,4,5,5,6,7,7,8,9,10,10,11,12,13,14,15,
16,17,18,19,19,20,20,21,22,22,23,23,24,24,25,25,26,26,27,27,28,28,29,29,30,30,
31,31,32,32,33,33,34,34,35,35,36,36,37,37,38,39,40,41,42,42,43,43]);
ALF("2.Fi22M5","2.Fi22",[1,2,3,4,5,6,7,5,6,7,17,18,22,16,20,21,19,16,19,
22,48,49,50,22,20,21,51,52,50,12,13,33,34,38,39,42,43,40,41,23,24,59,60,
59,60,61,62,40,41,81,82,77,78,46,47,89,90,46,47,89,90,48,50,93,94,63,64,
65,66],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALF("2.Fi22M5","M22",[1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,5,5,5,
5,5,5,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,9,9,9,9,10,
10,10,10,11,11,12,12]);

MOT("3.Fi22M5",
[
"5th maximal subgroup of 3.Fi22,\n",
"computed in March 2000 by Thomas Breuer using character theoretic methods\n",
"from the known tables of Fi22, 3.Fi22, and Fi22M5"
],
[1362493440,1362493440,1362493440,61931520,61931520,61931520,5898240,5898240,
5898240,1769472,1769472,1769472,73728,73728,73728,24576,24576,24576,9216,9216,
9216,3072,3072,3072,12288,12288,12288,4608,4608,4608,12288,12288,12288,1536,
1536,1536,1536,1536,1536,768,768,768,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,96,96,96,192,192,192,576,144,576,144,288,288,288,60,60,60,
60,60,60,60,60,60,60,60,60,144,144,144,72,72,72,144,144,144,42,42,42,42,42,42,
42,42,42,42,42,42,96,96,96,96,96,96,96,96,96,96,96,96,33,33,33,33,33,33],
[,[1,3,2,1,3,2,1,3,2,1,3,2,1,3,2,1,3,2,7,9,8,7,9,8,7,9,8,10,12,11,7,9,8,13,15,
14,13,15,14,13,15,14,25,27,26,25,27,26,31,33,32,13,15,14,16,18,17,28,30,29,31,
33,32,64,64,64,64,64,64,64,71,73,72,71,73,72,71,73,72,71,73,72,64,64,64,68,70,
69,66,66,66,92,94,93,92,94,93,98,100,99,98,100,99,34,36,35,37,39,38,49,51,50,
49,51,50,119,121,120,116,118,117],[1,1,1,4,4,4,7,7,7,10,10,10,13,13,13,16,16,
16,19,19,19,22,22,22,25,25,25,28,28,28,31,31,31,34,34,34,37,37,37,40,40,40,43,
43,43,46,46,46,49,49,49,52,52,52,55,55,55,58,58,58,61,61,61,1,4,10,10,7,7,7,
71,71,71,77,77,77,74,74,74,80,80,80,13,13,13,19,19,19,28,28,28,98,98,98,101,
101,101,92,92,92,95,95,95,104,104,104,107,107,107,110,110,110,113,113,113,116,
116,116,119,119,119],,[1,3,2,4,6,5,7,9,8,10,12,11,13,15,14,16,18,17,19,21,20,
22,24,23,25,27,26,28,30,29,31,33,32,34,36,35,37,39,38,40,42,41,43,45,44,46,48,
47,49,51,50,52,54,53,55,57,56,58,60,59,61,63,62,64,65,66,67,68,70,69,1,3,2,4,
6,5,4,6,5,7,9,8,83,85,84,86,88,87,89,91,90,98,100,99,101,103,102,92,94,93,95,
97,96,104,106,105,107,109,108,113,115,114,110,112,111,116,118,117,119,121,
120],,[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,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,77,78,79,74,75,
76,80,81,82,83,84,85,86,87,88,89,90,91,1,2,3,4,5,6,1,2,3,4,5,6,104,105,106,
107,108,109,113,114,115,110,111,112,119,120,121,116,117,118],,,,[1,3,2,4,6,5,
7,9,8,10,12,11,13,15,14,16,18,17,19,21,20,22,24,23,25,27,26,28,30,29,31,33,32,
34,36,35,37,39,38,40,42,41,43,45,44,46,48,47,49,51,50,52,54,53,55,57,56,58,60,
59,61,63,62,64,65,66,67,68,70,69,71,73,72,74,76,75,77,79,78,80,82,81,83,85,84,
86,88,87,89,91,90,92,94,93,95,97,96,98,100,99,101,103,102,104,106,105,107,109,
108,110,112,111,113,115,114,1,3,2,1,3,2]],
0,
[(110,113)(111,114)(112,115),( 92, 98)( 93, 99)( 94,100)( 95,101)( 96,102)
( 97,103),( 74, 77)( 75, 78)( 76, 79),(116,119)(117,120)(118,121),(  2,  3)
(  5,  6)(  8,  9)( 11, 12)( 14, 15)( 17, 18)( 20, 21)( 23, 24)( 26, 27)
( 29, 30)( 32, 33)( 35, 36)( 38, 39)( 41, 42)( 44, 45)( 47, 48)( 50, 51)
( 53, 54)( 56, 57)( 59, 60)( 62, 63)( 69, 70)( 72, 73)( 75, 76)( 78, 79)
( 81, 82)( 84, 85)( 87, 88)( 90, 91)( 93, 94)( 96, 97)( 99,100)(102,103)
(105,106)(108,109)(111,112)(114,115)(117,118)(120,121)],
["ConstructProj",[["2^10:m22",[]],,["3.Fi22M5",[2,8,8,2,23,23,2,2,2,2,2,11,11,
2,2,2,8,8,2,2,2,2,2,2,2,2,2,2,2,17,2,17,2,2,2,2,2,2,2]]]]);
ALF("3.Fi22M5","2^10:m22",[1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,
8,9,9,9,10,10,10,11,11,11,12,12,12,13,13,13,14,14,14,15,15,15,16,16,16,17,
17,17,18,18,18,19,19,19,20,20,20,21,21,21,22,23,24,25,26,26,26,27,27,27,
28,28,28,29,29,29,30,30,30,31,31,31,32,32,32,33,33,33,34,34,34,35,35,35,
36,36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,41,41,42,42,42,43,43,43]);
ALF("3.Fi22M5","3.Fi22",[1,3,2,4,6,5,7,9,8,10,12,11,7,9,8,10,12,11,22,24,
23,31,33,32,19,21,20,28,30,29,25,27,26,19,21,20,25,27,26,31,33,32,63,65,
64,66,68,67,69,71,70,31,33,32,28,30,29,72,74,73,69,71,70,17,49,54,58,55,
57,56,34,36,35,80,82,81,80,82,81,83,85,84,55,57,56,113,115,114,106,106,
106,60,62,61,123,125,124,60,62,61,123,125,124,63,65,64,69,71,70,129,131,
130,132,134,133,86,88,87,89,91,90],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALF("3.Fi22M5","3.M22",[1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,4,5,6,4,5,6,4,5,6,4,
5,6,4,5,6,4,5,6,8,9,10,8,9,10,8,9,10,8,9,10,8,9,10,8,9,10,11,12,13,11,12,
13,11,12,13,11,12,13,7,7,7,7,7,7,7,14,15,16,14,15,16,14,15,16,14,15,16,17,
18,19,17,18,19,17,18,19,20,21,22,20,21,22,23,24,25,23,24,25,26,27,28,26,
27,28,26,27,28,26,27,28,29,30,31,32,33,34]);

MOT("6.Fi22M5",
[
"5th maximal subgroup of 6.Fi22,\n",
"constructed in March 2000 by Thomas Breuer, using the known tables of\n",
"3.Fi22M5, 2.Fi22M5, and 6.Fi22"
],
[2724986880,2724986880,2724986880,2724986880,2724986880,2724986880,123863040,
123863040,123863040,123863040,123863040,123863040,11796480,11796480,11796480,
11796480,11796480,11796480,1769472,1769472,1769472,147456,147456,147456,
147456,147456,147456,24576,24576,24576,18432,18432,18432,18432,18432,18432,
3072,3072,3072,12288,12288,12288,9216,9216,9216,9216,9216,9216,12288,12288,
12288,1536,1536,1536,1536,1536,1536,768,768,768,384,384,384,384,384,384,384,
384,384,384,384,384,768,768,768,768,768,768,192,192,192,192,192,192,192,192,
192,1152,1152,288,288,1152,1152,288,288,576,576,576,576,576,576,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,288,288,288,288,288,288,144,144,144,144,144,144,288,288,288,288,288,
288,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,
96,96,96,96,96,96,96,96,96,96,96,96,66,66,66,66,66,66,66,66,66,66,66,66],
[,[1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,13,15,17,13,15,
17,13,15,17,16,18,14,19,21,20,19,21,20,16,18,14,25,27,23,25,27,23,22,24,26,40,
42,41,40,42,41,49,51,50,22,24,26,28,30,29,28,30,29,43,45,47,43,45,47,49,51,50,
88,88,88,88,88,88,88,88,88,88,88,88,88,88,102,104,106,102,104,106,102,104,106,
102,104,106,102,104,106,102,104,106,102,104,106,102,104,106,88,88,88,88,88,88,
96,98,100,96,98,100,92,92,92,92,92,92,144,146,148,144,146,148,144,146,148,144,
146,148,156,158,160,156,158,160,156,158,160,156,158,160,52,54,53,55,57,56,67,
69,68,67,69,68,186,188,190,186,188,190,180,182,184,180,182,184],[1,4,1,4,1,4,
7,10,7,10,7,10,13,16,13,16,13,16,19,19,19,22,25,22,25,22,25,28,28,28,31,34,31,
34,31,34,37,37,37,40,40,40,43,46,43,46,43,46,49,49,49,52,52,52,55,55,55,58,58,
58,61,61,61,64,64,64,67,67,67,70,70,70,73,76,73,76,73,76,79,82,79,82,79,82,85,
85,85,1,4,7,10,19,19,19,19,13,16,13,16,13,16,102,105,102,105,102,105,114,117,
114,117,114,117,108,111,108,111,108,111,120,123,120,123,120,123,22,25,22,25,
22,25,31,34,31,34,31,34,43,46,43,46,43,46,156,159,156,159,156,159,162,165,162,
165,162,165,144,147,144,147,144,147,150,153,150,153,150,153,168,168,168,171,
171,171,174,174,174,177,177,177,180,183,180,183,180,183,186,189,186,189,186,
189],,[1,6,5,4,3,2,7,12,11,10,9,8,13,18,17,16,15,14,19,21,20,22,27,26,25,24,
23,28,30,29,31,36,35,34,33,32,37,39,38,40,42,41,43,48,47,46,45,44,49,51,50,52,
54,53,55,57,56,58,60,59,61,63,62,64,66,65,67,69,68,70,72,71,73,78,77,76,75,74,
79,84,83,82,81,80,85,87,86,88,89,90,91,92,93,94,95,96,101,100,99,98,97,1,6,5,
4,3,2,7,12,11,10,9,8,7,12,11,10,9,8,13,18,17,16,15,14,126,131,130,129,128,127,
132,137,136,135,134,133,138,143,142,141,140,139,156,161,160,159,158,157,162,
167,166,165,164,163,144,149,148,147,146,145,150,155,154,153,152,151,168,170,
169,171,173,172,177,179,178,174,176,175,180,185,184,183,182,181,186,191,190,
189,188,187],,[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,
102,103,104,105,106,107,114,115,116,117,118,119,108,109,110,111,112,113,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,1,2,3,4,5,6,7,8,9,10,11,12,1,2,3,4,5,6,7,8,9,10,11,12,168,169,
170,171,172,173,177,178,179,174,175,176,186,187,188,189,190,191,180,181,182,
183,184,185],,,,[1,6,5,4,3,2,7,12,11,10,9,8,13,18,17,16,15,14,19,21,20,22,27,
26,25,24,23,28,30,29,31,36,35,34,33,32,37,39,38,40,42,41,43,48,47,46,45,44,49,
51,50,52,54,53,55,57,56,58,60,59,61,63,62,64,66,65,67,69,68,70,72,71,73,78,77,
76,75,74,79,84,83,82,81,80,85,87,86,88,89,90,91,92,93,94,95,96,101,100,99,98,
97,102,107,106,105,104,103,108,113,112,111,110,109,114,119,118,117,116,115,
120,125,124,123,122,121,126,131,130,129,128,127,132,137,136,135,134,133,138,
143,142,141,140,139,144,149,148,147,146,145,150,155,154,153,152,151,156,161,
160,159,158,157,162,167,166,165,164,163,168,170,169,171,173,172,174,176,175,
177,179,178,1,6,5,4,3,2,1,6,5,4,3,2]],
0,
[(180,186)(181,187)(182,188)(183,189)(184,190)(185,191),(174,177)(175,178)
(176,179),(108,114)(109,115)(110,116)(111,117)(112,118)(113,119),(144,156)
(145,157)(146,158)(147,159)(148,160)(149,161)(150,162)(151,163)(152,164)
(153,165)(154,166)(155,167),(  7, 10)(  8, 11)(  9, 12)( 31, 34)( 32, 35)
( 33, 36)( 79, 82)( 80, 83)( 81, 84)( 90, 91)( 94, 95)(108,111)(109,112)
(110,113)(114,117)(115,118)(116,119)(132,135)(133,136)(134,137)(150,153)
(151,154)(152,155)(162,165)(163,166)(164,167),(  2,  6)(  3,  5)(  8, 12)
(  9, 11)( 14, 18)( 15, 17)( 20, 21)( 23, 27)( 24, 26)( 29, 30)( 32, 36)
( 33, 35)( 38, 39)( 41, 42)( 44, 48)( 45, 47)( 50, 51)( 53, 54)( 56, 57)
( 59, 60)( 62, 63)( 65, 66)( 68, 69)( 71, 72)( 74, 78)( 75, 77)( 80, 84)
( 81, 83)( 86, 87)( 97,101)( 98,100)(103,107)(104,106)(109,113)(110,112)
(115,119)(116,118)(121,125)(122,124)(127,131)(128,130)(133,137)(134,136)
(139,143)(140,142)(145,149)(146,148)(151,155)(152,154)(157,161)(158,160)
(163,167)(164,166)(169,170)(172,173)(175,176)(178,179)(181,185)(182,184)
(187,191)(188,190)],
["ConstructProj",[["2^10:m22",[]],["2.Fi22M5",[]],["3.Fi22M5",[2,8,8,2,23,23,
2,2,2,2,2,11,11,2,2,2,8,8,2,2,2,2,2,2,2,2,2,2,2,17,2,17,2,2,2,2,2,2,2]],,,
["6.Fi22M5",[5,5,5,5,5,5,5,23,23,5,5,5,5,29,29,29,29,5,5,5,11,11]]]]);
ALF("6.Fi22M5","2^10:m22",[1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,
5,5,5,5,6,6,6,7,7,7,7,7,7,8,8,8,9,9,9,10,10,10,10,10,10,11,11,11,12,12,12,
13,13,13,14,14,14,15,15,15,16,16,16,17,17,17,18,18,18,19,19,19,19,19,19,
20,20,20,20,20,20,21,21,21,22,22,23,23,24,24,25,25,26,26,26,26,26,26,27,
27,27,27,27,27,28,28,28,28,28,28,29,29,29,29,29,29,30,30,30,30,30,30,31,
31,31,31,31,31,32,32,32,32,32,32,33,33,33,33,33,33,34,34,34,34,34,34,35,
35,35,35,35,35,36,36,36,36,36,36,37,37,37,37,37,37,38,38,38,39,39,39,40,
40,40,41,41,41,42,42,42,42,42,42,43,43,43,43,43,43]);
ALF("6.Fi22M5","2.Fi22M5",[1,2,1,2,1,2,3,4,3,4,3,4,5,6,5,6,5,6,7,7,7,8,9,
8,9,8,9,10,10,10,11,12,11,12,11,12,13,13,13,14,14,14,15,16,15,16,15,16,17,
17,17,18,18,18,19,19,19,20,20,20,21,21,21,22,22,22,23,23,23,24,24,24,25,
26,25,26,25,26,27,28,27,28,27,28,29,29,29,30,31,32,33,34,35,36,37,38,39,
38,39,38,39,40,41,40,41,40,41,42,43,42,43,42,43,44,45,44,45,44,45,46,47,
46,47,46,47,48,49,48,49,48,49,50,51,50,51,50,51,52,53,52,53,52,53,54,55,
54,55,54,55,56,57,56,57,56,57,58,59,58,59,58,59,60,61,60,61,60,61,62,62,
62,63,63,63,64,64,64,65,65,65,66,67,66,67,66,67,68,69,68,69,68,69]);
ALF("6.Fi22M5","3.Fi22M5",[1,2,3,1,2,3,4,5,6,4,5,6,7,8,9,7,8,9,10,11,12,
13,14,15,13,14,15,16,17,18,19,20,21,19,20,21,22,23,24,25,26,27,28,29,30,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,55,56,57,58,59,60,58,59,60,61,62,63,64,64,65,65,66,66,
67,67,68,69,70,68,69,70,71,72,73,71,72,73,74,75,76,74,75,76,77,78,79,77,
78,79,80,81,82,80,81,82,83,84,85,83,84,85,86,87,88,86,87,88,89,90,91,89,
90,91,92,93,94,92,93,94,95,96,97,95,96,97,98,99,100,98,99,100,101,102,103,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
116,117,118,119,120,121,119,120,121]);
ALF("6.Fi22M5","6.Fi22",[1,6,5,4,3,2,7,12,11,10,9,8,13,18,17,16,15,14,19,
21,20,13,18,17,16,15,14,19,21,20,37,42,41,40,39,38,52,54,53,34,36,35,46,
51,50,49,48,47,43,45,44,34,36,35,43,45,44,52,54,53,110,112,111,113,115,
114,116,118,117,52,54,53,46,51,50,49,48,47,119,124,123,122,121,120,116,
118,117,30,31,85,86,92,93,100,101,94,99,98,97,96,95,55,60,59,58,57,56,135,
140,139,138,137,136,135,140,139,138,137,136,141,146,145,144,143,142,94,99,
98,97,96,95,189,194,193,192,191,190,181,182,181,182,181,182,104,109,108,
107,106,105,209,214,213,212,211,210,104,109,108,107,106,105,209,214,213,
212,211,210,110,112,111,116,118,117,221,223,222,224,226,225,147,152,151,
150,149,148,153,158,157,156,155,154],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALF("6.Fi22M5","3.M22",[1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,1,2,3,4,5,6,4,
5,6,4,5,6,4,5,6,4,5,6,4,5,6,4,5,6,4,5,6,4,5,6,4,5,6,8,9,10,8,9,10,8,9,10,
8,9,10,8,9,10,8,9,10,11,12,13,11,12,13,11,12,13,11,12,13,11,12,13,11,12,
13,7,7,7,7,7,7,7,7,7,7,7,7,7,7,14,15,16,14,15,16,14,15,16,14,15,16,14,15,
16,14,15,16,14,15,16,14,15,16,17,18,19,17,18,19,17,18,19,17,18,19,17,18,
19,17,18,19,20,21,22,20,21,22,20,21,22,20,21,22,23,24,25,23,24,25,23,24,
25,23,24,25,26,27,28,26,27,28,26,27,28,26,27,28,29,30,31,29,30,31,32,33,
34,32,33,34]);

MOT("2^6:s6f2",
[
"origin: CAS library,\n",
"maximal subgroup of Fi22,\n",
"1987   O.B.\n",
"tests: 1.o.r., pow[2,3,5,7]"
],
[92897280,1474560,737280,49152,46080,73728,24576,6144,24576,8192,6144,3072,
3072,3072,1024,1024,34560,2304,648,432,144,1536,512,1536,512,384,1536,512,384,
512,512,256,128,128,128,128,120,40,576,192,1152,384,288,72,192,192,96,72,72,
24,24,7,32,32,32,32,9,20,20,48,48,48,48,12,15,144,48],
[,[1,1,1,1,2,1,1,2,1,1,2,2,1,2,2,2,17,17,19,20,20,6,7,9,9,11,9,9,11,6,7,7,9,
10,11,11,37,37,17,18,17,17,18,19,17,18,18,20,21,20,21,52,30,31,22,23,57,37,38,
45,46,45,46,44,65,20,20],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,1,1,2,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,6,8,3,4,5,6,9,11,12,3,5,13,14,
52,53,54,55,56,19,58,59,24,26,27,29,22,37,6,7],,[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,1,2,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,3,5,60,61,62,63,64,
17,66,67],,[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,
1,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[7,7,-5,-5,-5,-1,
-1,-1,3,3,3,3,-1,-1,-1,-1,4,4,-2,1,1,3,3,1,1,1,-3,-3,-3,-1,-1,-1,1,1,1,1,2,2,
2,2,-2,-2,-2,2,0,0,0,1,1,-1,-1,0,1,1,-1,-1,1,0,0,-2,-2,0,0,0,-1,-1,-1],[15,15,
-5,-5,-5,7,7,7,3,3,3,3,-1,-1,-1,-1,0,0,-3,3,3,-1,-1,-3,-3,-3,1,1,1,3,3,3,1,1,
1,1,0,0,-2,-2,-2,-2,-2,1,0,0,0,1,1,-1,-1,1,-1,-1,1,1,0,0,0,0,0,-2,-2,-1,0,1,
1],[21,21,9,9,9,-3,-3,-3,1,1,1,1,-3,-3,-3,-3,6,6,3,0,0,5,5,-1,-1,-1,3,3,3,1,1,
1,-1,-1,-1,-1,1,1,0,0,0,0,0,3,-2,-2,-2,0,0,0,0,0,1,1,-1,-1,0,-1,-1,2,2,0,0,-1,
1,0,0],[21,21,-11,-11,-11,5,5,5,5,5,5,5,-3,-3,-3,-3,6,6,3,0,0,1,1,-3,-3,-3,-3,
-3,-3,1,1,1,1,1,1,1,1,1,2,2,-2,-2,-2,-1,2,2,2,-2,-2,0,0,0,-1,-1,-1,-1,0,-1,-1,
0,0,0,0,1,1,2,2],[27,27,15,15,15,3,3,3,7,7,7,7,3,3,3,3,9,9,0,0,0,3,3,1,1,1,5,
5,5,-1,-1,-1,1,1,1,1,2,2,3,3,3,3,3,0,1,1,1,0,0,0,0,-1,-1,-1,1,1,0,0,0,1,1,-1,
-1,0,-1,0,0],[35,35,-5,-5,-5,3,3,3,-5,-5,-5,-5,3,3,3,3,5,5,-1,2,2,7,7,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,-3,-3,1,1,1,3,1,1,1,-2,-2,0,0,0,1,1,1,1,
-1,0,0,-1,-1,-1,-1,1,0,0,0],[35,35,15,15,15,11,11,11,7,7,7,7,3,3,3,3,5,5,-1,2,
2,-1,-1,5,5,5,1,1,1,3,3,3,1,1,1,1,0,0,-1,-1,3,3,3,-1,1,1,1,0,0,0,0,0,1,1,-1,
-1,-1,0,0,-1,-1,1,1,-1,0,2,2],[56,56,-24,-24,-24,-8,-8,-8,8,8,8,8,0,0,0,0,11,
11,2,2,2,0,0,4,4,4,-4,-4,-4,0,0,0,0,0,0,0,1,1,1,1,-3,-3,-3,-2,-1,-1,-1,0,0,0,
0,0,0,0,0,0,-1,1,1,1,1,-1,-1,0,1,-2,-2],[70,70,-10,-10,-10,-10,-10,-10,6,6,6,
6,-2,-2,-2,-2,-5,-5,7,1,1,2,2,2,2,2,2,2,2,2,2,2,-2,-2,-2,-2,0,0,-1,-1,-1,-1,
-1,-1,3,3,3,-1,-1,1,1,0,0,0,0,0,1,0,0,-1,-1,-1,-1,-1,0,-1,-1],[84,84,4,4,4,20,
20,20,4,4,4,4,4,4,4,4,-6,-6,3,3,3,4,4,0,0,0,0,0,0,4,4,4,0,0,0,0,-1,-1,2,2,-2,
-2,-2,-1,-2,-2,-2,1,1,1,1,0,0,0,0,0,0,-1,-1,0,0,0,0,1,-1,-1,-1],[105,105,-35,
-35,-35,1,1,1,5,5,5,5,1,1,1,1,15,15,-3,-3,-3,5,5,-1,-1,-1,-5,-5,-5,1,1,1,-1,
-1,-1,-1,0,0,1,1,1,1,1,1,-1,-1,-1,1,1,1,1,0,-1,-1,1,1,0,0,0,-1,-1,1,1,-1,0,1,
1],[105,105,5,5,5,17,17,17,-3,-3,-3,-3,-7,-7,-7,-7,0,0,6,3,3,-3,-3,3,3,3,-1,
-1,-1,1,1,1,-1,-1,-1,-1,0,0,2,2,2,2,2,2,0,0,0,-1,-1,-1,-1,0,-1,-1,1,1,0,0,0,0,
0,2,2,0,0,-1,-1],[105,105,25,25,25,-7,-7,-7,9,9,9,9,1,1,1,1,0,0,6,3,3,-3,-3,
-3,-3,-3,-3,-3,-3,-3,-3,-3,1,1,1,1,0,0,-4,-4,4,4,4,2,0,0,0,1,1,1,1,0,-1,-1,-1,
-1,0,0,0,0,0,0,0,0,0,-1,-1],[120,120,40,40,40,-8,-8,-8,8,8,8,8,0,0,0,0,15,15,
-6,0,0,0,0,-4,-4,-4,4,4,4,0,0,0,0,0,0,0,0,0,1,1,1,1,1,-2,-1,-1,-1,-2,-2,0,0,1,
0,0,0,0,0,0,0,-1,-1,1,1,0,0,-2,-2],[168,168,40,40,40,8,8,8,8,8,8,8,8,8,8,8,6,
6,6,-3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,2,2,-2,-2,-2,2,2,2,2,1,1,-1,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1],[189,189,21,21,21,-3,-3,-3,-11,-11,-11,-11,
-3,-3,-3,-3,9,9,0,0,0,9,9,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,-3,-3,-3,-3,-3,0,1,
1,1,0,0,0,0,0,-1,-1,-1,-1,0,1,1,1,1,1,1,0,-1,0,0],[189,189,-39,-39,-39,21,21,
21,1,1,1,1,-3,-3,-3,-3,9,9,0,0,0,-3,-3,-5,-5,-5,-1,-1,-1,1,1,1,-1,-1,-1,-1,-1,
-1,3,3,3,3,3,0,1,1,1,0,0,0,0,0,1,1,-1,-1,0,1,1,1,1,-1,-1,0,-1,0,0],[189,189,
-51,-51,-51,-3,-3,-3,13,13,13,13,-3,-3,-3,-3,9,9,0,0,0,-3,-3,1,1,1,1,1,1,-3,
-3,-3,1,1,1,1,-1,-1,-3,-3,-3,-3,-3,0,1,1,1,0,0,0,0,0,1,1,1,1,0,-1,-1,1,1,1,1,
0,-1,0,0],[210,210,50,50,50,2,2,2,2,2,2,2,-6,-6,-6,-6,15,15,3,0,0,-2,-2,2,2,2,
2,2,2,-2,-2,-2,-2,-2,-2,-2,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,2,2,0,0,0,0,0,0,0,0,
0,0,-1,-1,-1,-1,1,0,2,2],[210,210,10,10,10,-14,-14,-14,10,10,10,10,2,2,2,2,
-15,-15,-6,3,3,6,6,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,-2,0,0,1,1,1,1,1,-2,1,
1,1,1,1,-1,-1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1],[216,216,-24,-24,-24,24,24,24,
8,8,8,8,0,0,0,0,-9,-9,0,0,0,0,0,-4,-4,-4,4,4,4,0,0,0,0,0,0,0,1,1,-3,-3,-3,-3,
-3,0,-1,-1,-1,0,0,0,0,-1,0,0,0,0,0,1,1,-1,-1,1,1,0,1,0,0],[280,280,-40,-40,
-40,-8,-8,-8,-8,-8,-8,-8,8,8,8,8,10,10,10,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-2,-2,2,2,2,-2,-2,-2,-2,-1,-1,-1,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1],[280,
280,40,40,40,24,24,24,8,8,8,8,0,0,0,0,-5,-5,-8,-2,-2,0,0,4,4,4,-4,-4,-4,0,0,0,
0,0,0,0,0,0,-3,-3,1,1,1,0,-1,-1,-1,-2,-2,0,0,0,0,0,0,0,1,0,0,1,1,-1,-1,0,0,0,
0],[315,315,-45,-45,-45,-21,-21,-21,3,3,3,3,3,3,3,3,0,0,-9,0,0,-5,-5,3,3,3,3,
3,3,3,3,3,-1,-1,-1,-1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,-1,-1,-1,-1,0,0,0,0,0,0,
0,1,0,0,0],[336,336,-16,-16,-16,16,16,16,-16,-16,-16,-16,0,0,0,0,6,6,-6,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-2,-2,2,2,2,-2,2,2,2,2,2,0,0,0,0,0,0,0,0,-1,
-1,0,0,0,0,0,1,-2,-2],[378,378,-30,-30,-30,-6,-6,-6,2,2,2,2,-6,-6,-6,-6,-9,-9,
0,0,0,6,6,2,2,2,2,2,2,-2,-2,-2,2,2,2,2,-2,-2,3,3,3,3,3,0,-1,-1,-1,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-1,-1,-1,0,1,0,0],[405,405,45,45,45,-27,-27,-27,-3,-3,-3,-3,-3,
-3,-3,-3,0,0,0,0,0,-3,-3,-3,-3,-3,-3,-3,-3,5,5,5,1,1,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0],[420,420,20,20,20,4,4,4,-12,-12,
-12,-12,4,4,4,4,0,0,-3,3,3,-4,-4,0,0,0,0,0,0,-4,-4,-4,0,0,0,0,0,0,4,4,-4,-4,
-4,1,0,0,0,-1,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,1],[512,512,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-16,-16,8,-4,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0],[63,-1,31,-1,-1,15,-1,-1,15,-1,
-1,-1,7,-1,-1,-1,15,-1,0,3,-1,3,-1,7,-1,-1,7,-1,-1,3,-1,-1,3,-1,-1,-1,3,-1,3,
-1,7,-1,-1,0,3,-1,-1,1,-1,1,-1,0,1,-1,1,-1,0,1,-1,1,-1,1,-1,0,0,3,-1],[63,-1,
-29,3,-1,-9,7,-1,11,-5,3,-1,-1,-5,3,-1,15,-1,0,3,-1,3,-1,5,-3,1,-7,1,1,-1,3,
-1,1,1,1,-3,3,-1,3,-1,-5,3,-1,0,-1,3,-1,1,-1,-1,1,0,1,-1,-1,1,0,1,-1,-1,1,-1,
1,0,0,-3,1],[315,-5,95,-1,-5,3,19,-5,23,7,-1,-5,11,7,-1,-5,30,-2,0,-3,1,3,-1,
-3,5,-3,9,1,-3,-1,3,-1,1,1,-3,1,0,0,6,-2,2,2,-2,0,2,2,-2,-1,1,-1,1,0,-1,1,1,
-1,0,0,0,0,0,0,0,0,0,-3,1],[315,-5,-85,11,-5,27,11,-5,11,-5,11,-5,-5,-13,3,3,
30,-2,0,-3,1,3,-1,-9,-1,3,-9,-1,3,3,-1,-1,-1,3,-1,-1,0,0,6,-2,2,2,-2,0,2,2,-2,
-1,1,1,-1,0,-1,1,-1,1,0,0,0,0,0,0,0,0,0,3,-1],[315,-5,35,3,-5,-21,27,-5,19,3,
3,-5,3,3,3,-5,-15,1,0,6,-2,3,-1,-5,3,-1,-5,3,-1,-5,7,-1,-1,3,-1,-1,0,0,-3,1,5,
-3,1,0,1,-3,1,2,-2,0,0,0,-1,1,-1,1,0,0,0,1,-1,1,-1,0,0,0,0],[315,-5,-25,7,-5,
51,3,-5,15,-1,7,-5,3,-9,-1,3,-15,1,0,6,-2,3,-1,-7,1,1,5,-3,1,7,-5,-1,1,1,-3,1,
0,0,-3,1,-7,1,1,0,-3,1,1,2,-2,0,0,0,-1,1,1,-1,0,0,0,-1,1,-1,1,0,0,0,0],[567,
-9,99,3,-9,63,15,-9,27,11,3,-9,15,3,-5,-1,0,0,0,0,0,3,-1,9,1,-3,-3,5,-3,7,-5,
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0],[567,-9,-81,15,-9,-9,39,-9,15,-1,15,-9,-9,-9,7,-1,0,0,0,0,0,3,-1,3,-5,3,3,
-5,3,-5,7,-1,3,-1,-1,-1,-3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,-1,0,-1,1,0,0,
0,0,0,0,0,0],[630,-10,70,6,-10,6,38,-10,-10,22,6,-10,-2,14,-2,-2,15,-1,0,3,-1,
-6,2,2,2,-2,2,2,-2,-6,2,2,-2,-2,2,2,0,0,3,-1,-5,3,-1,0,-1,3,-1,1,-1,1,-1,0,0,
0,0,0,0,0,0,-1,1,-1,1,0,0,3,-1],[630,-10,-50,14,-10,54,22,-10,-18,14,14,-10,
-10,-2,-2,6,15,-1,0,3,-1,-6,2,-2,-2,2,-2,-2,2,2,-6,2,-2,-2,2,2,0,0,3,-1,7,-1,
-1,0,3,-1,-1,1,-1,-1,1,0,0,0,0,0,0,0,0,1,-1,1,-1,0,0,-3,1],[1008,-16,16,16,
-16,48,48,-16,16,16,16,-16,0,0,0,0,-30,2,0,-6,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
3,-1,-6,2,-2,-2,2,0,-2,-2,2,-2,2,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0],[378,
-6,114,-14,6,-6,-6,2,18,-14,10,-2,-6,6,-2,2,45,-3,0,0,0,6,-2,-2,-2,2,14,-2,-2,
-2,-2,2,-2,2,2,-2,3,-1,3,-1,3,-5,3,0,-3,1,1,0,0,0,0,0,0,0,0,0,0,-1,1,1,-1,-1,
1,0,0,0,0],[378,-6,-126,2,6,-6,-6,2,34,2,-6,-2,-6,6,-2,2,45,-3,0,0,0,6,-2,2,2,
-2,-14,2,2,-2,-2,2,2,-2,-2,2,3,-1,3,-1,-9,-1,3,0,1,-3,1,0,0,0,0,0,0,0,0,0,0,
-1,1,-1,1,1,-1,0,0,0,0],[1512,-24,216,-40,24,-24,-24,8,-8,-8,24,-8,0,0,0,0,45,
-3,0,0,0,0,0,-4,-4,4,4,4,-4,0,0,0,0,0,0,0,-3,1,3,-1,-9,-1,3,0,1,-3,1,0,0,0,0,
0,0,0,0,0,0,1,-1,-1,1,1,-1,0,0,0,0],[1512,-24,-264,-8,24,-24,-24,8,24,24,-8,
-8,0,0,0,0,45,-3,0,0,0,0,0,4,4,-4,-4,-4,4,0,0,0,0,0,0,0,-3,1,3,-1,3,-5,3,0,-3,
1,1,0,0,0,0,0,0,0,0,0,0,1,-1,1,-1,-1,1,0,0,0,0],[1890,-30,90,-38,30,-30,-30,
10,26,-6,18,-10,-6,6,-2,2,-45,3,0,0,0,6,-2,-2,-2,2,-10,6,-2,-2,-2,2,2,-2,-2,2,
0,0,-3,1,9,1,-3,0,-1,3,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1,0,0,0,0],[1890,
-30,-150,-22,30,-30,-30,10,42,10,2,-10,-6,6,-2,2,-45,3,0,0,0,6,-2,2,2,-2,10,
-6,2,-2,-2,2,-2,2,2,-2,0,0,-3,1,-3,5,-3,0,3,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,
1,1,-1,0,0,0,0],[2268,-36,-36,-36,36,-36,-36,12,-36,28,12,-12,12,-12,4,-4,0,0,
0,0,0,-12,4,0,0,0,0,0,0,4,4,-4,0,0,0,0,3,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,1,0,0,0,0,0,0,0,0],[630,-10,110,-18,10,-42,22,-2,14,-18,6,2,-2,2,-6,6,
15,-1,0,3,-1,-6,2,-10,6,-2,-2,-2,2,2,2,-2,2,-2,2,-2,0,0,-3,1,5,-3,1,0,-1,3,-1,
-1,1,1,-1,0,0,0,0,0,0,0,0,-1,1,1,-1,0,0,-3,1],[630,-10,-130,-2,10,54,-10,-2,
30,-2,-10,2,-10,10,2,-2,15,-1,0,3,-1,-6,2,-14,2,2,2,2,-2,2,2,-2,2,-2,2,-2,0,0,
-3,1,-7,1,1,0,3,-1,-1,-1,1,-1,1,0,0,0,0,0,0,0,0,1,-1,-1,1,0,0,3,-1],[630,-10,
110,-18,10,54,-10,-2,14,-18,6,2,-10,10,2,-2,15,-1,0,3,-1,-6,2,14,-2,-2,-2,-2,
2,2,2,-2,-2,2,-2,2,0,0,-3,1,5,-3,1,0,-1,3,-1,-1,1,-1,1,0,0,0,0,0,0,0,0,-1,1,1,
-1,0,0,3,-1],[630,-10,-130,-2,10,-42,22,-2,30,-2,-10,2,-2,2,-6,6,15,-1,0,3,-1,
-6,2,10,-6,2,2,2,-2,2,2,-2,-2,2,-2,2,0,0,-3,1,-7,1,1,0,3,-1,-1,-1,1,1,-1,0,0,
0,0,0,0,0,0,1,-1,-1,1,0,0,-3,1],[1260,-20,-20,-20,20,12,12,-4,-52,12,-4,4,12,
-12,4,-4,30,-2,0,6,-2,12,-4,0,0,0,0,0,0,-4,-4,4,0,0,0,0,0,0,-6,2,-2,-2,2,0,2,
2,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[2520,-40,200,-56,40,24,24,-8,
-24,-24,8,8,0,0,0,0,15,-1,0,-6,2,0,0,4,4,-4,-4,-4,4,0,0,0,0,0,0,0,0,0,-3,1,-7,
1,1,0,3,-1,-1,2,-2,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1,0,0,0,0],[2520,-40,-280,-24,
40,24,24,-8,8,8,-24,8,0,0,0,0,15,-1,0,-6,2,0,0,-4,-4,4,4,4,-4,0,0,0,0,0,0,0,0,
0,-3,1,5,-3,1,0,-1,3,-1,2,-2,0,0,0,0,0,0,0,0,0,0,-1,1,1,-1,0,0,0,0],[2520,-40,
-40,-40,40,-72,56,-8,-8,-8,-8,8,8,-8,-8,8,-30,2,0,3,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,6,-2,2,2,-2,0,-2,-2,2,-1,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,
-1],[2520,-40,-40,-40,40,120,-8,-8,-8,-8,-8,8,-8,8,8,-8,-30,2,0,3,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,6,-2,2,2,-2,0,-2,-2,2,-1,1,1,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-3,1],[945,-15,225,1,-15,33,-15,1,49,1,-15,1,9,-15,1,1,45,-3,0,0,0,-3,
1,5,-3,1,5,-3,1,-3,1,1,1,-3,1,1,0,0,-3,1,9,1,-3,0,1,-3,1,0,0,0,0,0,-1,1,-1,1,
0,0,0,-1,1,-1,1,0,0,0,0],[945,-15,165,5,-15,-39,9,1,-3,13,-11,1,-15,-3,5,1,45,
-3,0,0,0,9,-3,-5,3,-1,7,-1,-1,5,1,-3,-1,-1,-1,3,0,0,-3,1,-3,5,-3,0,-3,1,1,0,0,
0,0,0,1,-1,-1,1,0,0,0,1,-1,1,-1,0,0,0,0],[945,-15,-135,25,-15,33,-15,1,-23,-7,
9,1,9,9,-7,1,45,-3,0,0,0,9,-3,-7,1,1,-7,1,1,1,5,-3,-3,1,1,1,0,0,-3,1,9,1,-3,0,
1,-3,1,0,0,0,0,0,1,-1,1,-1,0,0,0,-1,1,-1,1,0,0,0,0],[945,-15,-195,29,-15,-39,
9,1,21,-27,13,1,9,-3,5,-7,45,-3,0,0,0,-3,1,7,-1,-1,-5,3,-1,1,-3,1,-1,-1,3,-1,
0,0,-3,1,-3,5,-3,0,-3,1,1,0,0,0,0,0,-1,1,1,-1,0,0,0,1,-1,1,-1,0,0,0,0],[1890,
-30,90,26,-30,66,-30,2,26,-6,-6,2,18,-6,-6,2,-45,3,0,0,0,6,-2,-2,-2,2,-2,-2,2,
-2,6,-2,-2,-2,2,2,0,0,3,-1,-9,-1,3,0,-1,3,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,1,
-1,0,0,0,0],[1890,-30,-30,34,-30,-78,18,2,18,-14,2,2,-6,-6,10,-6,-45,3,0,0,0,
6,-2,2,2,-2,2,2,-2,6,-2,-2,-2,-2,2,2,0,0,3,-1,3,-5,3,0,3,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,-1,1,-1,1,0,0,0,0],[2835,-45,315,27,-45,-45,3,3,27,11,-21,3,3,3,3,
-5,0,0,0,0,0,-9,3,-9,-1,3,-9,-1,3,-1,-5,3,-1,3,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0],[2835,-45,135,39,-45,27,-21,3,-33,15,
-9,3,-21,-9,-1,11,0,0,0,0,0,3,-1,9,1,-3,-3,5,-3,-1,3,-1,1,1,1,-3,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,1,1,-1,0,0,0,0,0,0,0,0,0,0,0],[2835,-45,-45,51,-45,-45,
3,3,-45,3,3,3,3,27,-5,-5,0,0,0,0,0,3,-1,3,-5,3,3,-5,3,3,-1,-1,3,-1,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,1,0,0,0,0,0,0,0,0,0,0,0],[2835,-45,-225,
63,-45,27,-21,3,-9,-25,15,3,3,-9,-1,3,0,0,0,0,0,-9,3,-3,5,-3,9,1,-3,-5,-1,3,1,
1,-3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0]],
[]);
ALF("2^6:s6f2","Fi22",[1,3,2,4,10,4,3,9,3,4,9,13,4,10,13,11,5,18,8,7,23,
12,11,13,10,28,10,13,27,12,9,13,13,12,27,28,14,35,20,40,15,20,41,25,18,39,
46,19,47,24,47,26,30,28,30,29,33,34,59,46,63,41,64,48,52,22,23],[
"fusion map is unique, equal to that on the CAS table"
]);
ALF("2^6:s6f2","2^7:S6(2)",[1,2,5,6,7,11,12,13,17,18,19,20,25,26,27,28,33,
34,37,39,40,43,44,47,48,49,53,54,55,59,60,61,65,66,67,68,73,74,77,78,81,
82,83,87,89,90,91,95,96,99,100,103,105,106,109,110,113,115,116,119,120,
123,124,127,129,131,132],[
"fusion map is unique"
]);
ALF("2^6:s6f2","S6(2)",[1,1,2,2,2,3,3,3,4,4,4,4,5,5,5,5,6,6,7,8,8,9,9,10,
10,10,11,11,11,12,12,12,13,13,13,13,14,14,16,16,15,15,15,17,18,18,18,19,
19,21,21,22,24,24,23,23,25,26,26,27,27,28,28,29,30,20,20]);
ALN("2^6:s6f2",["2^6:S6(2)","f22m6"]);

MOT("f22s2",
[
"Sylow 2-subgroup and Sylow 2 normalizer in Fi22,\n",
"origin: CAS library,\n",
"tests: 1.o.r., pow[2],\n",
"2nd power map determined only up to matrix automorphisms,"
],
[131072,131072,65536,65536,65536,32768,32768,32768,32768,16384,16384,16384,
8192,8192,8192,8192,8192,8192,8192,4096,4096,4096,4096,4096,4096,4096,4096,
4096,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,2048,
1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,512,512,4096,4096,2048,
2048,2048,2048,2048,2048,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,
1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,1024,512,512,512,
512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,
512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,512,
512,512,512,512,512,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,64,64,128,128,128,
128,128,128,128,128,128,128,128,64,64,64,64,64,64,64,64,64,64,64,64,64,32,32,
32,32,32,32,32,32,32],
[,[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,4,2,2,4,2,10,6,10,4,10,4,10,2,4,4,4,
10,10,4,10,2,4,10,2,4,2,6,2,13,7,10,8,18,10,10,6,10,10,8,12,6,18,4,18,18,18,
10,5,18,4,13,7,10,12,10,10,18,12,10,18,6,2,18,10,4,10,2,6,18,18,18,12,12,12,
20,28,11,18,10,14,13,14,18,18,7,21,6,13,8,14,11,13,18,14,7,21,8,28,13,28,5,13,
20,28,30,20,21,20,13,28,32,16,30,20,25,28,25,30,30,32,32,32,31,40,57,59,60,59,
56,60,59,59,56,60,60,75,65,58,64,58,58,62,57,74,64,75,74,65,87,106,88,90,97,
109,110,183,183]],
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1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
-1,1,-1,1,1,1,1,-1,1,-1,-1,1,-1,1,1,1,-1,1,1,1,-1,1,-1,1,1,1,1,1,1,1,1,1,-1,
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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,-1,-1,-1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
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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,-1,1,1,1,1,1,1,1,1,1,
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-1,-1,1,-1,-1,-1,-1,-1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,1,1,-1,1,1,-1,-1,-1,-1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,1,-1,1,1,1,1,-1,1,1,-1,1,-1,1,
1,-1,1,1,1,-1,-1,1,1,-1,1,1,1,1,-1,1,1,1,-1,1,-1,-1,1,-1,1,1,-1,-1,-1,1,-1,-1,
1,-1,-1,1,1,-1,1,-1,1,1,-1,1,-1,-1,1,-1,1,1,1,-1,1,-1,-1,-1,1,-1,1,1,1,-1,1,1,
1,-1,-1,1,-1,1,1,-1,1,-1,1,-1,1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,-1,1,1,-1,1,1,1,
-1,-1,-1,1,-1,-1,1,-1,1,1,-1,-1,-1,-1,1,1,-1,-1,-1,1,1,-1,1,1],[1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,1,1,
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--> --------------------

--> maximum size reached

--> --------------------

Quelle ctomisc2.tbl Sprache: unbekannt

[ Dauer der Verarbeitung: 0.31 Sekunden (vorverarbeitet) ]