Impressum ctotwis2.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctotwis2.tbl                GAP table library               Thomas Breuer
##
##  This file contains the ordinary character tables related to the twisted
##  group $^2E_6(2)$.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctotwis2.tbl,v $
#H  Revision 4.20  2012/03/12 17:01:47  gap
#H  omit the fourth argument of `ConstructV4G'
#H      TB
#H
#H  Revision 4.19  2012/01/30 08:32:03  gap
#H  removed #H entries from the headers
#H      TB
#H
#H  Revision 4.18  2011/09/28 14:32:24  gap
#H  removed revision entry and SET_TABLEFILENAME call
#H      TB
#H
#H  Revision 4.17  2010/05/05 13:20:09  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 4.16  2009/04/22 12:39:08  gap
#H  added missing maxes of He.2, ON.2, HN.2, Fi24, and B
#H      TB
#H
#H  Revision 4.15  2006/06/07 07:54:27  gap
#H  unified ConstructMixed and ConstructMGA (for better programmatic access)
#H      TB
#H
#H  Revision 4.14  2005/09/07 13:12:53  gap
#H  added tables of 3.2E6(2) (contributed by Frank L"ubeck)
#H  and 3.2E6(2).2, 6.2E6(2), 6.2E6(2).2, (2^2x3).2E6(2), (2^2x3).2E6(2).2
#H  (easy with standard methods)
#H      TB
#H
#H  Revision 4.13  2004/08/31 12:33:34  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 4.12  2004/01/20 10:26:13  gap
#H  added several names of the forms `<name>C<class>', `<name>N<class>'
#H      TB
#H
#H  Revision 4.11  2003/10/30 09:21:24  gap
#H  corrected table automorphisms of 2^2.2E6(2).2
#H      TB
#H
#H  Revision 4.10  2003/06/20 15:03:10  gap
#H  added several fusions
#H      TB
#H
#H  Revision 4.9  2003/03/31 16:33:24  gap
#H  added fusions BN31 -> B, L2(31) -> B,
#H  added some names and tables of maxes of 2.B,
#H  added table of 2.(S3xFi22.2) < 2.B (J. An had asked for it)
#H      TB
#H
#H  Revision 4.8  2003/01/24 15:57:40  gap
#H  replaced several fusions by ones that are compatible with Brauer tables
#H      TB
#H
#H  Revision 4.7  2002/10/22 12:44:15  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 4.6  2002/09/23 15:06:36  gap
#H  removed trailing blanks
#H      TB
#H
#H  Revision 4.5  2002/07/12 06:45:57  gap
#H  further tidying up: removed `irredinfo' stuff, rearranged constructions
#H      TB
#H
#H  Revision 4.4  2002/07/08 16:06:57  gap
#H  changed `construction' component from function (call) to list of function
#H  name and arguments
#H      TB
#H
#H  Revision 4.3  2001/05/04 16:50:27  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/ctotwis2.tbl,v
#H  Working file: ctotwis2.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 11:39:43;  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 15:47:59;  author: fceller;  state: Exp;  lines: +2 -2
#H  for version 4
#H  ----------------------------
#H  revision 1.1
#H  date: 1996/10/21 16:01:56;  author: sam;  state: Exp;
#H  first proposal of the table library
#H  ==========================================================================
##

MOT("2.2E6(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[153064959367549707878400,153064959367549707878400,38574303876218880,
38574303876218880,48704929136640,48704929136640,57982058496,55180984320,
55180984320,3135283200,3135283200,20155392,20155392,84557168640,84557168640,
32614907904,1811939328,1585446912,1585446912,792723456,792723456,100663296,
47185920,47185920,25165824,25165824,12582912,12582912,9437184,9437184,1572864,
786432,524288,201600,201600,79626240,79626240,1990656,1990656,884736,884736,
746496,746496,276480,276480,110592,82944,82944,55296,55296,27648,27648,282240,
282240,2352,2352,147456,294912,294912,98304,32768,24576,24576,12288,12288,
8192,16384,16384,8192,8192,16384,16384,8192,8192,1024,2048,2048,648,648,324,
324,1920,1920,960,960,132,132,132,132,165888,62208,82944,82944,18432,6912,
6912,9216,9216,9216,9216,4608,4608,6912,6912,3456,3456,4608,4608,768,768,1152,
1152,1152,1152,1152,1152,1152,1152,1152,1152,768,768,384,384,192,192,26,26,
896,896,112,112,1800,1800,180,180,256,256,256,256,256,128,128,256,256,128,128,
34,34,34,34,216,216,216,216,108,108,72,72,38,38,38,38,160,160,80,80,126,126,
42,42,44,44,44,44,576,576,576,576,192,192,192,96,96,224,224,112,112,56,56,120,
120,60,60,66,66,66,66,70,70,70,70],
[,[1,1,1,1,1,1,1,8,8,10,10,12,12,3,3,3,3,5,5,6,6,3,5,5,5,5,6,6,7,7,5,7,7,34,
34,8,8,10,10,8,8,12,12,10,10,8,12,12,10,10,12,12,53,53,55,55,14,16,16,17,17,
18,18,20,21,22,25,25,27,28,25,25,27,28,29,33,33,78,78,80,80,34,34,34,34,88,88,
86,86,36,42,38,38,36,42,42,38,38,40,40,41,41,47,47,48,48,40,40,40,42,44,44,49,
49,51,51,52,52,52,52,47,47,48,48,51,51,127,127,53,53,55,55,133,133,135,135,61,
61,61,67,67,69,70,71,71,73,74,148,148,150,150,78,78,78,78,80,80,78,78,162,162,
160,160,82,82,84,84,168,168,170,170,88,88,86,86,97,97,92,92,94,99,99,101,102,
129,129,130,130,131,131,133,133,135,135,197,197,195,195,201,201,199,199],[1,2,
3,4,5,6,7,1,2,1,2,1,2,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,3,4,3,4,5,6,3,4,5,6,7,5,6,7,7,7,7,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,12,13,12,13,82,83,84,85,86,87,88,
89,16,16,16,16,17,17,17,14,15,18,19,20,21,18,19,20,21,23,24,31,22,23,24,29,30,
29,30,29,30,29,30,25,26,27,28,32,32,127,128,129,130,131,132,34,35,34,35,137,
138,139,140,141,142,143,144,145,146,147,150,151,148,149,42,43,42,43,42,43,47,
48,162,163,160,161,164,165,166,167,53,54,55,56,172,173,174,175,57,57,58,59,60,
62,63,64,65,185,186,187,188,189,190,84,85,82,83,86,87,88,89,199,200,201,
202],,[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,
27,28,29,30,31,32,33,1,2,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
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,
79,80,81,3,4,5,6,86,87,88,89,90,91,92,93,94,96,95,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,126,125,127,128,129,130,131,132,10,11,8,9,137,138,139,140,141,142,143,
144,145,146,147,150,151,148,149,154,155,152,153,156,157,158,159,160,161,162,
163,14,15,23,24,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,44,45,36,37,195,196,197,198,53,54,53,54],,[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,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,1,2,1,2,
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,
83,84,85,88,89,86,87,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,5,6,3,4,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,150,151,148,149,152,153,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,10,11,8,9,174,175,172,173,176,177,178,179,180,181,182,183,184,18,
19,20,21,14,15,191,192,193,194,197,198,195,196,34,35,34,35],,,,[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,
1,2,1,2,90,91,92,93,94,96,95,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,126,125,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,
150,151,148,149,154,155,152,153,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,3,4,3,4,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,8,9,8,9,199,200,201,202],,[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,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,88,89,86,
87,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,1,2,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,156,157,158,159,162,163,160,161,164,165,166,167,168,
169,170,171,174,175,172,173,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,197,198,195,196,199,200,201,202],,,,[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,
88,89,86,87,90,91,92,93,94,96,95,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,126,125,127,
128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,
147,1,2,1,2,154,155,152,153,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,174,175,172,173,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,197,198,195,196,199,200,201,202],,[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,
85,88,89,86,87,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
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,
146,147,148,149,150,151,152,153,154,155,156,157,158,159,1,2,1,2,164,165,166,
167,168,169,170,171,174,175,172,173,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,197,198,195,196,201,202,199,200]],
0,
[(199,201)(200,202),(160,162)(161,163),(152,154)(153,155),(148,150)(149,151),
(125,126),(95,96),( 95, 96)(125,126)(152,154)(153,155),( 86, 88)( 87, 89)
(172,174)(173,175)(195,197)(196,198),( 20, 21)( 27, 28)( 64, 65)( 69, 70)
( 73, 74)(101,102)(105,106)(117,119)(118,120)(123,124)(138,139)(142,143)
(146,147)(183,184)(187,188)],
["ConstructProj",[["2E6(2)",[]],["2.2E6(2)",[]]]]);
ALF("2.2E6(2)","2E6(2)",[1,1,2,2,3,3,4,5,5,6,6,7,7,8,8,9,10,11,11,12,13,
14,15,15,16,16,17,18,19,19,20,21,22,23,23,24,24,25,25,26,26,27,27,28,28,
29,30,30,31,31,32,32,33,33,34,34,35,36,36,37,38,39,39,40,41,42,43,43,44,
45,46,46,47,48,49,50,50,51,51,52,52,53,53,54,54,55,55,56,56,57,58,59,59,
60,61,62,63,63,64,64,65,66,67,67,68,69,70,70,71,72,73,73,74,74,75,75,76,
76,77,77,78,78,79,80,81,82,83,83,84,84,85,85,86,86,87,87,88,89,90,91,91,
92,93,94,94,95,96,97,97,98,98,99,99,100,100,101,101,102,102,103,103,104,
104,105,105,106,106,107,107,108,108,109,109,110,110,111,111,112,112,113,
114,114,115,116,117,117,118,119,120,120,121,121,122,122,123,123,124,124,
125,125,126,126]);
ALF("2.2E6(2)","2.2E6(2).2",[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,20,21,22,23,24,25,26,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,62,63,
64,65,66,66,67,68,69,69,70,71,72,73,74,75,76,77,78,79,80,81,82,81,82,83,
84,85,86,87,88,88,89,90,91,92,93,93,94,95,96,96,97,98,99,100,101,102,103,
104,105,106,107,108,107,108,109,110,111,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,125,126,127,128,128,129,130,131,131,132,133,
134,135,136,137,136,137,138,139,140,141,142,143,142,143,144,145,146,147,
148,149,150,151,152,153,152,153,154,155,156,157,158,159,160,161,161,162,
163,164,164,165,166,167,168,169,170,171,172,171,172,173,174,173,174],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);

MOT("2.2E6(2).2",
[
"origin: ATLAS of finite groups"
],
[306129918735099415756800,306129918735099415756800,77148607752437760,
77148607752437760,97409858273280,97409858273280,115964116992,110361968640,
110361968640,6270566400,6270566400,40310784,40310784,169114337280,
169114337280,65229815808,3623878656,3170893824,3170893824,792723456,201326592,
94371840,94371840,50331648,50331648,12582912,18874368,18874368,3145728,
1572864,1048576,403200,403200,159252480,159252480,3981312,3981312,1769472,
1769472,1492992,1492992,552960,552960,221184,165888,165888,110592,110592,
55296,55296,564480,564480,4704,4704,294912,589824,589824,196608,65536,49152,
49152,12288,16384,32768,32768,8192,32768,32768,8192,2048,4096,4096,1296,1296,
648,648,3840,3840,1920,1920,132,132,331776,124416,165888,165888,36864,6912,
18432,18432,18432,18432,4608,13824,13824,3456,9216,9216,1536,1536,2304,2304,
2304,2304,2304,2304,1152,1152,1536,1536,384,384,384,52,52,1792,1792,224,224,
3600,3600,360,360,512,256,512,512,128,512,512,128,68,68,68,68,216,216,216,216,
144,144,38,38,320,320,160,160,252,252,84,84,44,44,1152,1152,1152,1152,384,384,
384,96,448,448,112,112,112,240,240,120,120,66,66,70,70,13244506413465600,
13244506413465600,190253629440,190253629440,6794772480,6794772480,5284823040,
5284823040,792723456,792723456,37748736,37748736,12582912,12582912,786432,
786432,17418240,17418240,17418240,17418240,276480,276480,186624,186624,55296,
55296,20736,20736,6193152,491520,491520,393216,393216,294912,294912,98304,
131072,131072,49152,49152,32768,32768,24576,12288,12288,2048,14400,14400,960,
960,55296,55296,46080,46080,27648,27648,20736,20736,18432,18432,4608,4608,
4608,4608,4608,4608,3456,3456,2304,2304,1536,1536,384,384,4704,4704,4704,4704,
224,224,3072,3072,512,512,512,512,512,216,216,216,216,72,72,960,960,320,320,
1728,1152,1152,1152,1152,576,384,384,384,384,192,192,192,96,96,96,96,52,52,
224,224,112,112,360,360,360,360,120,120,64,64,68,68,68,68,72,72,80,80,84,84,
84,84,96,96,112,112,120,120],
[,[1,1,1,1,1,1,1,8,8,10,10,12,12,3,3,3,3,5,5,6,3,5,5,5,5,6,7,7,5,7,7,32,32,8,
8,10,10,8,8,12,12,10,10,8,12,12,10,10,12,12,51,51,53,53,14,16,16,17,17,18,18,
20,21,24,24,26,24,24,26,27,31,31,73,73,75,75,32,32,32,32,81,81,34,40,36,36,34,
40,36,36,38,38,39,45,45,46,38,38,38,40,42,42,47,47,49,49,50,50,45,45,46,49,49,
114,114,51,51,53,53,120,120,122,122,59,59,64,64,66,67,67,69,132,132,134,134,
73,73,75,75,73,73,142,142,77,77,79,79,148,148,150,150,81,81,89,89,85,85,87,91,
91,93,116,116,117,118,118,120,120,122,122,171,171,173,173,1,1,1,1,5,5,5,5,3,3,
5,5,5,5,7,7,8,8,10,10,8,8,12,12,10,10,12,12,19,14,14,24,24,16,16,19,24,24,18,
18,24,24,25,27,27,31,32,32,32,32,38,38,42,42,42,42,45,45,38,38,36,36,38,38,42,
42,40,40,45,45,42,42,49,49,51,51,53,53,53,53,58,58,58,64,64,67,67,73,73,75,75,
75,75,79,79,79,79,95,83,83,85,85,92,91,91,89,89,95,109,109,110,110,103,103,
114,114,116,116,118,118,120,120,122,122,122,122,124,124,132,132,134,134,140,
140,144,144,148,148,150,150,158,158,163,163,167,167],[1,2,3,4,5,6,7,1,2,1,2,1,
2,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,3,4,3,4,5,6,3,4,
5,6,7,5,6,7,7,7,7,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
71,72,12,13,12,13,77,78,79,80,81,82,16,16,16,16,17,17,14,15,18,19,20,18,19,20,
22,23,29,21,22,23,27,28,27,28,27,28,24,25,26,30,30,114,115,116,117,118,119,32,
33,32,33,124,125,126,127,128,129,130,131,134,135,132,133,40,41,40,41,45,46,
142,143,144,145,146,147,51,52,53,54,152,153,55,55,56,57,58,60,61,62,162,163,
164,165,166,79,80,77,78,81,82,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,175,176,175,176,177,178,175,176,177,178,177,178,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,
223,224,179,180,181,182,179,180,179,180,181,182,183,184,185,186,185,186,183,
184,185,186,187,188,189,190,249,250,251,252,253,254,255,256,257,258,259,260,
261,197,198,197,198,201,202,268,269,270,271,203,208,209,208,209,203,213,214,
204,205,210,206,207,217,217,218,219,289,290,291,292,293,294,221,222,221,222,
223,224,301,302,305,306,303,304,231,232,309,310,249,250,251,252,255,256,317,
318,269,268],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,1,2,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
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,
3,4,5,6,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,113,112,114,115,116,117,118,119,10,11,8,9,
124,125,126,127,128,129,130,131,134,135,132,133,136,137,138,139,140,141,142,
143,14,15,22,23,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,
163,164,165,166,42,43,34,35,171,172,51,52,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,175,
176,177,178,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,252,253,254,256,255,257,258,259,
260,261,262,263,264,265,266,267,181,182,179,180,272,273,274,275,276,277,278,
279,280,281,282,283,284,286,285,287,288,289,290,291,292,293,294,193,194,191,
192,195,196,302,301,305,306,303,304,307,308,204,205,311,312,313,314,316,315,
318,317,228,227],,[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,
49,50,1,2,1,2,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
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,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,5,6,3,4,120,121,
122,123,124,125,126,127,128,129,130,131,134,135,132,133,136,137,138,139,140,
141,142,143,144,145,146,147,10,11,8,9,152,153,154,155,156,157,158,159,160,161,
18,19,20,14,15,167,168,169,170,171,172,32,33,175,176,177,178,179,180,181,182,
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,
240,241,242,243,244,245,246,247,248,175,176,175,176,177,178,256,255,257,258,
259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,181,182,183,184,295,296,
297,298,299,300,302,301,305,306,303,304,307,308,309,310,193,194,191,192,316,
315,203,203,319,320],,,,[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,
73,74,75,76,77,78,79,80,1,2,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,113,112,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,134,135,132,133,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,3,4,154,155,156,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,8,9,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,286,285,287,288,289,290,
291,292,293,294,295,296,297,298,299,300,301,302,305,306,303,304,307,308,309,
310,311,312,313,314,315,316,318,317,319,320],,[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,
113,1,2,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
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,
247,248,249,250,251,252,253,254,256,255,257,258,259,260,261,262,263,264,265,
266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,
285,286,287,288,175,176,291,292,293,294,295,296,297,298,299,300,302,301,303,
304,305,306,307,308,309,310,311,312,313,314,316,315,318,317,319,320],,,,[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,
106,107,108,109,110,111,113,112,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,1,2,1,2,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,
279,280,281,282,283,284,286,285,287,288,289,290,291,292,293,294,295,296,297,
298,299,300,301,302,175,176,175,176,307,308,309,310,311,312,313,314,315,316,
318,317,319,320],,[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,
138,139,140,141,1,2,144,145,146,147,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,
310,311,312,313,314,315,316,317,318,319,320]],
0,
[(317,318),(255,256)(301,302)(315,316),(255,256)(301,302)(315,316)(317,318),
(132,134)(133,135)(303,305)(304,306),(112,113)(285,286),(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)(204,205)(206,207)(208,209)(211,212)
(218,219)(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)(258,259)(260,261)(262,263)(264,265)(266,267)(268,269)
(270,271)(273,274)(275,276)(280,281)(283,284)(287,288)(289,290)(291,292)
(293,294)(295,296)(297,298)(299,300)(303,304)(305,306)(307,308)(309,310)
(311,312)(313,314)(319,320)],
["ConstructProj",[["2E6(2).2",[]],["2.2E6(2).2",[]]]]);
ALF("2.2E6(2).2","2E6(2).2",[1,1,2,2,3,3,4,5,5,6,6,7,7,8,8,9,10,11,11,12,
13,14,14,15,15,16,17,17,18,19,20,21,21,22,22,23,23,24,24,25,25,26,26,27,
28,28,29,29,30,30,31,31,32,32,33,34,34,35,36,37,37,38,39,40,40,41,42,42,
43,44,45,45,46,46,47,47,48,48,49,49,50,50,51,52,53,53,54,55,56,56,57,57,
58,59,59,60,61,61,62,63,64,64,65,65,66,66,67,67,68,68,69,70,71,72,72,73,
73,74,74,75,75,76,76,77,78,79,79,80,81,81,82,83,83,84,84,85,85,86,86,87,
87,88,88,89,89,90,90,91,91,92,92,93,93,94,94,95,95,96,97,97,98,99,99,100,
101,101,102,102,103,103,104,104,105,105,106,106,107,107,108,108,109,109,
110,110,111,111,112,112,113,113,114,114,115,115,116,116,117,117,118,118,
119,119,120,121,121,122,122,123,123,124,125,125,126,127,128,129,130,131,
131,132,133,133,134,134,135,135,136,136,137,137,138,138,139,139,140,140,
141,141,142,142,143,143,144,144,145,145,146,146,147,147,148,148,149,149,
150,151,152,153,153,154,154,155,155,156,156,157,157,158,158,159,159,160,
161,161,162,162,163,164,165,166,166,167,168,168,169,170,171,171,172,172,
173,173,174,174,175,175,176,176,177,177,178,179,180,180,181,181,182,182,
183,183,184,184,185,185,186,187,188,188,189,189]);
ALF("2.2E6(2).2","B",[1,2,3,2,3,5,5,6,20,6,21,7,23,9,8,9,10,9,10,12,13,14,
11,10,13,15,12,15,14,17,15,18,48,22,20,22,21,22,27,26,23,22,24,27,26,29,
27,24,28,29,31,76,31,77,36,33,34,35,39,33,36,41,40,35,39,42,39,37,44,41,
42,44,47,92,47,93,49,48,49,52,54,110,58,56,58,55,61,67,58,57,58,61,64,56,
67,68,66,59,66,69,66,62,64,70,60,71,68,73,67,69,73,72,72,75,130,79,80,79,
77,81,137,81,138,86,88,83,87,89,86,85,90,91,153,91,154,94,92,94,93,94,95,
98,159,102,101,104,103,109,166,109,167,111,110,116,117,114,115,120,114,
116,123,132,133,136,132,134,140,141,140,138,151,183,155,184,2,4,4,5,11,9,
8,11,11,10,11,13,13,14,17,15,21,25,20,25,25,24,23,30,25,27,30,29,32,36,33,
32,37,34,36,37,37,35,36,34,39,37,40,38,41,44,48,50,50,52,62,55,57,59,59,
55,65,56,57,62,62,61,62,63,59,63,65,67,65,69,63,66,72,71,77,78,76,78,78,
80,84,84,87,84,87,85,86,93,97,92,97,97,95,99,103,103,102,119,115,117,115,
116,118,117,115,117,114,124,119,124,126,126,122,123,130,129,134,135,135,
133,138,139,137,139,139,141,149,150,154,152,153,152,157,156,163,161,167,
168,166,168,175,175,178,179,181,180],[
"fusion map is unique up to table automorphisms"
]);
ALN("2.2E6(2).2",["BC2A","BN2A"]);

MOT("2^2.2E6(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13,17,19]"
],
[306129918735099415756800,306129918735099415756800,306129918735099415756800,
306129918735099415756800,77148607752437760,77148607752437760,77148607752437760
 ,77148607752437760,97409858273280,97409858273280,97409858273280,
97409858273280,57982058496,110361968640,110361968640,110361968640,
110361968640,6270566400,6270566400,6270566400,6270566400,40310784,40310784,
40310784,40310784,169114337280,169114337280,169114337280,169114337280,
32614907904,1811939328,1585446912,1585446912,1585446912,1585446912,1585446912,
1585446912,100663296,94371840,94371840,94371840,94371840,25165824,25165824,
25165824,25165824,25165824,25165824,18874368,18874368,18874368,18874368,
1572864,786432,524288,403200,403200,403200,403200,159252480,159252480,
159252480,159252480,3981312,3981312,3981312,3981312,1769472,1769472,1769472,
1769472,1492992,1492992,1492992,1492992,552960,552960,552960,552960,110592,
165888,165888,165888,165888,110592,110592,110592,110592,55296,55296,55296,
55296,564480,564480,564480,564480,4704,4704,4704,4704,147456,589824,589824,
589824,589824,98304,32768,24576,24576,24576,24576,24576,24576,8192,16384,
16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,1024,4096,
4096,4096,4096,1296,1296,1296,1296,648,648,648,648,3840,3840,3840,3840,1920,
1920,1920,1920,264,264,264,264,264,264,264,264,165888,62208,165888,165888,
165888,165888,18432,6912,6912,18432,18432,18432,18432,9216,9216,9216,9216,
9216,9216,6912,6912,6912,6912,6912,6912,9216,9216,9216,9216,768,768,2304,2304,
2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,
2304,2304,2304,768,768,768,768,768,768,192,192,52,52,52,52,1792,1792,1792,
1792,224,224,224,224,3600,3600,3600,3600,360,360,360,360,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,68,68,68,68,68,68,68,68,432,432,432,
432,432,432,432,432,216,216,216,216,144,144,144,144,76,76,76,76,76,76,76,76,
320,320,320,320,160,160,160,160,252,252,252,252,84,84,84,84,88,88,88,88,88,88,
88,88,1152,1152,1152,1152,1152,1152,1152,1152,192,192,192,192,192,192,192,224,
224,224,224,224,224,112,112,112,112,240,240,240,240,120,120,120,120,132,132,
132,132,132,132,132,132,140,140,140,140,140,140,140,140],
[,[1,1,1,1,1,1,1,1,1,1,1,1,1,14,14,14,14,18,18,18,18,22,22,22,22,5,5,5,5,5,5,
10,10,11,11,12,12,5,9,9,9,9,10,10,11,11,12,12,13,13,13,13,9,13,13,56,56,56,56,
14,14,14,14,18,18,18,18,14,14,14,14,22,22,22,22,18,18,18,18,14,22,22,22,22,18,
18,18,18,22,22,22,22,93,93,93,93,97,97,97,97,26,30,30,30,30,31,31,32,32,34,34,
36,36,38,43,43,45,45,47,47,43,43,45,45,47,47,49,55,55,55,55,132,132,132,132,
136,136,136,136,56,56,56,56,56,56,56,56,152,152,152,152,148,148,148,148,60,72,
64,64,64,64,60,72,72,64,64,64,64,69,69,70,70,71,71,82,82,83,83,84,84,68,68,68,
68,68,72,76,76,76,76,85,85,85,85,90,90,90,90,91,91,91,91,92,92,92,92,82,82,83,
83,84,84,89,89,215,215,215,215,93,93,93,93,97,97,97,97,227,227,227,227,231,
231,231,231,107,107,107,115,115,117,117,119,119,121,121,123,123,125,125,250,
250,250,250,254,254,254,254,132,132,132,132,132,132,132,132,136,136,136,136,
132,132,132,132,278,278,278,278,274,274,274,274,140,140,140,140,144,144,144,
144,290,290,290,290,294,294,294,294,152,152,152,152,148,148,148,148,165,165,
165,165,158,158,158,158,162,169,169,171,171,173,173,220,220,221,221,222,222,
223,223,223,223,227,227,227,227,231,231,231,231,343,343,343,343,339,339,339,
339,351,351,351,351,347,347,347,347],[1,2,3,4,5,6,7,8,9,10,11,12,13,1,2,3,4,1,
2,3,4,1,2,3,4,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,5,6,7,8,5,6,7,8,9,10,11,12,5,6,7,8,9,
10,11,12,13,9,10,11,12,13,13,13,13,13,13,13,13,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,22,23,24,25,22,23,24,25,140,141,
142,143,144,145,146,147,148,149,150,151,152,153,154,155,30,30,30,30,30,30,31,
31,31,26,27,28,29,32,33,34,35,36,37,32,33,34,35,36,37,39,40,41,42,53,38,39,40,
41,42,49,50,51,52,49,50,51,52,49,50,51,52,49,50,51,52,43,44,45,46,47,48,54,54,
215,216,217,218,219,220,221,222,223,224,225,226,56,57,58,59,56,57,58,59,235,
236,237,238,239,240,241,242,243,244,245,246,247,248,249,254,255,256,257,250,
251,252,253,72,73,74,75,72,73,74,75,72,73,74,75,81,82,83,84,278,279,280,281,
274,275,276,277,282,283,284,285,286,287,288,289,93,94,95,96,97,98,99,100,298,
299,300,301,302,303,304,305,101,101,101,101,102,103,104,105,106,108,109,110,
111,112,113,321,322,323,324,325,326,327,328,329,330,144,145,146,147,140,141,
142,143,148,149,150,151,152,153,154,155,347,348,349,350,351,352,353,354],,[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,
1,2,3,4,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
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,
125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,5,6,7,8,9,10,11,
12,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,164,163,165,
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,
204,205,206,207,208,209,210,211,212,214,213,215,216,217,218,219,220,221,222,
223,224,225,226,18,19,20,21,14,15,16,17,235,236,237,238,239,240,241,242,243,
244,245,246,247,248,249,254,255,256,257,250,251,252,253,262,263,264,265,258,
259,260,261,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,
26,27,28,29,39,40,41,42,290,291,292,293,294,295,296,297,298,299,300,301,302,
303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,76,77,78,79,60,61,62,63,339,340,341,342,
343,344,345,346,93,94,95,96,93,94,95,96],,[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,
1,2,3,4,1,2,3,4,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,152,153,154,155,148,149,
150,151,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
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,
211,212,213,214,215,216,217,218,9,10,11,12,5,6,7,8,227,228,229,230,231,232,
233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,254,255,
256,257,250,251,252,253,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
18,19,20,21,14,15,16,17,302,303,304,305,298,299,300,301,306,307,308,309,310,
311,312,313,314,315,316,317,318,319,320,32,33,34,35,36,37,26,27,28,29,331,332,
333,334,335,336,337,338,343,344,345,346,339,340,341,342,56,57,58,59,56,57,58,
59],,,,[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,
141,142,143,144,145,146,147,1,2,3,4,1,2,3,4,156,157,158,159,160,161,162,164,
163,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,214,213,215,216,217,218,219,220,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,248,249,254,255,256,257,250,251,252,253,262,
263,264,265,258,259,260,261,266,267,268,269,270,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,
297,5,6,7,8,5,6,7,8,306,307,308,309,310,311,312,313,314,315,316,317,318,319,
320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,
14,15,16,17,14,15,16,17,347,348,349,350,351,352,353,354],,[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,
152,153,154,155,148,149,150,151,156,157,158,159,160,161,162,163,164,165,166,
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,
205,206,207,208,209,210,211,212,213,214,1,2,3,4,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,
264,265,266,267,268,269,270,271,272,273,278,279,280,281,274,275,276,277,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,302,303,304,305,
298,299,300,301,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,343,
344,345,346,339,340,341,342,347,348,349,350,351,352,353,354],,,,[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,
147,152,153,154,155,148,149,150,151,156,157,158,159,160,161,162,164,163,165,
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,
204,205,206,207,208,209,210,211,212,214,213,215,216,217,218,219,220,221,222,
223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,1,2,3,4,1,2,3,4,262,263,264,265,258,259,260,
261,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,295,296,297,302,303,304,305,298,
299,300,301,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,343,344,
345,346,339,340,341,342,347,348,349,350,351,352,353,354],,[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,
152,153,154,155,148,149,150,151,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,
243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,270,271,272,273,1,2,3,4,1,2,3,4,282,283,284,
285,286,287,288,289,290,291,292,293,294,295,296,297,302,303,304,305,298,299,
300,301,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,343,344,345,
346,339,340,341,342,351,352,353,354,347,348,349,350]],
0,
[(347,351)(348,352)(349,353)(350,354),(274,278)(275,279)(276,280)(277,281),
(258,262)(259,263)(260,264)(261,265),(250,254)(251,255)(252,256)(253,257),
(213,214),(163,164)(213,214)(258,262)(259,263)(260,264)(261,265),(148,152)
(149,153)(150,154)(151,155)(298,302)(299,303)(300,304)(301,305)(339,343)
(340,344)(341,345)(342,346),(  3,  4)(  7,  8)( 11, 12)( 16, 17)( 20, 21)
( 24, 25)( 28, 29)( 34, 36)( 35, 37)( 41, 42)( 45, 47)( 46, 48)( 51, 52)
( 58, 59)( 62, 63)( 66, 67)( 70, 71)( 74, 75)( 78, 79)( 83, 84)( 87, 88)
( 91, 92)( 95, 96)( 99,100)(104,105)(110,112)(111,113)(117,119)(118,120)
(123,125)(124,126)(130,131)(134,135)(138,139)(142,143)(146,147)(150,151)
(154,155)(160,161)(167,168)(171,173)(172,174)(177,179)(178,180)(183,184)
(189,190)(193,194)(197,198)(199,203)(200,204)(201,206)(202,205)(209,211)
(210,212)(217,218)(221,222)(225,226)(229,230)(233,234)(236,237)(240,242)
(241,243)(246,248)(247,249)(252,253)(256,257)(260,261)(264,265)(268,269)
(272,273)(276,277)(280,281)(284,285)(288,289)(292,293)(296,297)(300,301)
(304,305)(308,309)(312,313)(317,319)(318,320)(323,325)(324,326)(329,330)
(333,334)(337,338)(341,342)(345,346)(349,350)(353,354),(  2,  3)(  6,  7)
( 10, 11)( 15, 16)( 19, 20)( 23, 24)( 27, 28)( 32, 34)( 33, 35)( 40, 41)
( 43, 45)( 44, 46)( 50, 51)( 57, 58)( 61, 62)( 65, 66)( 69, 70)( 73, 74)
( 77, 78)( 82, 83)( 86, 87)( 90, 91)( 94, 95)( 98, 99)(103,104)(108,110)
(109,111)(115,117)(116,118)(121,123)(122,124)(129,130)(133,134)(137,138)
(141,142)(145,146)(149,150)(153,154)(159,160)(166,167)(169,171)(170,172)
(175,177)(176,178)(182,183)(188,189)(192,193)(195,199)(196,201)(197,200)
(198,202)(204,205)(207,209)(208,210)(216,217)(220,221)(224,225)(228,229)
(232,233)(235,236)(238,240)(239,241)(244,246)(245,247)(251,252)(255,256)
(259,260)(263,264)(267,268)(271,272)(275,276)(279,280)(283,284)(287,288)
(291,292)(295,296)(299,300)(303,304)(307,308)(311,312)(315,317)(316,318)
(321,323)(322,324)(328,329)(332,333)(336,337)(340,341)(344,345)(348,349)
(352,353)],
["ConstructV4G","2.2E6(2)",
(  2,  3,  4)(  6,  7,  8)( 10, 11, 12)( 15, 16, 17)( 19, 20, 21)( 23, 24, 25)
( 27, 28, 29)( 32, 34, 36)( 33, 35, 37)( 40, 41, 42)( 43, 45, 47)( 44, 46, 48)
( 50, 51, 52)( 57, 58, 59)( 61, 62, 63)( 65, 66, 67)( 69, 70, 71)( 73, 74, 75)
( 77, 78, 79)( 82, 83, 84)( 86, 87, 88)( 90, 91, 92)( 94, 95, 96)( 98, 99,100)
(103,104,105)(108,110,112)(109,111,113)(115,117,119)(116,118,120)(121,123,125)
(122,124,126)(129,130,131)(133,134,135)(137,138,139)(141,142,143)(145,146,147)
(149,150,151)(153,154,155)(159,160,161)(166,167,168)(169,171,173)(170,172,174)
(175,177,179)(176,178,180)(182,183,184)(188,189,190)(192,193,194)(195,199,203)
(196,201,206)(197,202,204)(198,200,205)(207,209,211)(208,210,212)(216,217,218)
(220,221,222)(224,225,226)(228,229,230)(232,233,234)(235,236,237)(238,240,242)
(239,241,243)(244,246,248)(245,247,249)(251,252,253)(255,256,257)(259,260,261)
(263,264,265)(267,268,269)(271,272,273)(275,276,277)(279,280,281)(283,284,285)
(287,288,289)(291,292,293)(295,296,297)(299,300,301)(303,304,305)(307,308,309)
(311,312,313)(315,317,319)(316,318,320)(321,323,325)(322,324,326)(328,329,330)
(332,333,334)(336,337,338)(340,341,342)(344,345,346)(348,349,350)(352,353,354)
]);
ALF("2^2.2E6(2)","2.2E6(2)",[1,1,2,2,3,3,4,4,5,5,6,6,7,8,8,9,9,10,10,11,
11,12,12,13,13,14,14,15,15,16,17,18,19,20,20,21,21,22,23,23,24,24,25,26,
27,27,28,28,29,29,30,30,31,32,33,34,34,35,35,36,36,37,37,38,38,39,39,40,
40,41,41,42,42,43,43,44,44,45,45,46,47,47,48,48,49,49,50,50,51,51,52,52,
53,53,54,54,55,55,56,56,57,58,58,59,59,60,61,62,63,64,64,65,65,66,67,68,
69,69,70,70,71,72,73,73,74,74,75,76,76,77,77,78,78,79,79,80,80,81,81,82,
82,83,83,84,84,85,85,86,86,87,87,88,88,89,89,90,91,92,92,93,93,94,95,96,
97,97,98,98,99,100,101,101,102,102,103,104,105,105,106,106,107,107,108,
108,109,110,111,111,112,112,113,113,114,114,115,115,116,116,117,117,118,
118,119,119,120,120,121,122,123,123,124,124,125,126,127,127,128,128,129,
129,130,130,131,131,132,132,133,133,134,134,135,135,136,136,137,138,139,
140,141,142,142,143,143,144,145,146,146,147,147,148,148,149,149,150,150,
151,151,152,152,153,153,154,154,155,155,156,156,157,157,158,158,159,159,
160,160,161,161,162,162,163,163,164,164,165,165,166,166,167,167,168,168,
169,169,170,170,171,171,172,172,173,173,174,174,175,175,176,176,177,177,
178,178,179,179,180,181,182,183,183,184,184,185,186,187,187,188,188,189,
189,190,190,191,191,192,192,193,193,194,194,195,195,196,196,197,197,198,
198,199,199,200,200,201,201,202,202]);
ALF("2^2.2E6(2)","2E6(2)",[1,1,1,1,2,2,2,2,3,3,3,3,4,5,5,5,5,6,6,6,6,7,7,
7,7,8,8,8,8,9,10,11,11,12,12,13,13,14,15,15,15,15,16,16,17,17,18,18,19,19,
19,19,20,21,22,23,23,23,23,24,24,24,24,25,25,25,25,26,26,26,26,27,27,27,
27,28,28,28,28,29,30,30,30,30,31,31,31,31,32,32,32,32,33,33,33,33,34,34,
34,34,35,36,36,36,36,37,38,39,39,40,40,41,41,42,43,43,44,44,45,45,46,46,
47,47,48,48,49,50,50,50,50,51,51,51,51,52,52,52,52,53,53,53,53,54,54,54,
54,55,55,55,55,56,56,56,56,57,58,59,59,59,59,60,61,62,63,63,63,63,64,64,
65,65,66,66,67,67,68,68,69,69,70,70,70,70,71,72,73,73,73,73,74,74,74,74,
75,75,75,75,76,76,76,76,77,77,77,77,78,78,79,79,80,80,81,82,83,83,83,83,
84,84,84,84,85,85,85,85,86,86,86,86,87,87,87,87,88,89,90,91,91,92,92,93,
93,94,94,95,95,96,96,97,97,97,97,98,98,98,98,99,99,99,99,100,100,100,100,
101,101,101,101,102,102,102,102,103,103,103,103,104,104,104,104,105,105,
105,105,106,106,106,106,107,107,107,107,108,108,108,108,109,109,109,109,
110,110,110,110,111,111,111,111,112,112,112,112,113,114,114,115,115,116,
116,117,117,118,118,119,119,120,120,120,120,121,121,121,121,122,122,122,
122,123,123,123,123,124,124,124,124,125,125,125,125,126,126,126,126]);
ALF("2^2.2E6(2)","2^2.2E6(2).2",[1,2,3,3,4,5,6,6,7,8,9,9,10,11,12,13,13,
14,15,16,16,17,18,19,19,20,21,22,22,23,24,25,26,27,28,27,28,29,30,31,32,
32,33,34,35,36,35,36,37,38,39,39,40,41,42,43,44,45,45,46,47,48,48,49,50,
51,51,52,53,54,54,55,56,57,57,58,59,60,60,61,62,63,64,64,65,66,67,67,68,
69,70,70,71,72,73,73,74,75,76,76,77,78,79,80,80,81,82,83,84,85,86,85,86,
87,88,89,90,91,90,91,92,93,94,95,94,95,96,97,98,99,99,100,101,102,102,103,
104,105,105,106,107,108,108,109,110,111,111,112,113,114,115,112,113,115,
114,116,117,118,119,120,120,121,122,122,123,124,125,125,126,127,128,129,
128,129,130,131,132,133,132,133,134,135,136,136,137,138,139,140,141,141,
142,143,144,144,145,146,147,147,148,149,150,151,148,149,151,150,152,153,
154,155,154,155,156,157,158,159,160,160,161,162,163,163,164,165,166,166,
167,168,169,169,170,171,172,172,173,174,174,175,176,177,178,177,178,179,
180,181,182,181,182,183,184,185,185,186,187,188,188,189,190,191,192,189,
190,192,191,193,194,195,195,196,197,198,198,199,200,201,202,199,200,202,
201,203,204,205,205,206,207,208,208,209,210,211,211,212,213,214,214,215,
216,217,218,215,216,218,217,219,220,221,221,222,223,224,224,225,226,227,
228,229,228,229,230,231,232,233,232,233,234,235,236,236,237,238,239,239,
240,241,242,242,243,244,245,246,243,244,246,245,247,248,249,250,247,248,
250,249],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALF("2^2.2E6(2)","2^2.2E6(2).3",[1,2,2,2,3,4,4,4,5,6,6,6,7,8,9,9,9,10,11,
11,11,12,13,13,13,14,15,15,15,16,17,18,19,18,19,18,19,20,21,22,22,22,23,
24,23,24,23,24,25,26,26,26,27,28,29,30,31,31,31,32,33,33,33,34,35,35,35,
36,37,37,37,38,39,39,39,40,41,41,41,42,43,44,44,44,45,46,46,46,47,48,48,
48,49,50,50,50,51,52,52,52,53,54,55,55,55,56,57,58,59,58,59,58,59,60,61,
62,61,62,61,62,63,64,63,64,63,64,65,66,67,67,67,68,69,69,69,70,71,71,71,
72,73,73,73,74,75,75,75,76,77,77,77,78,79,79,79,80,81,82,83,83,83,84,85,
86,87,88,88,88,89,90,89,90,89,90,91,92,91,92,91,92,93,94,94,94,95,96,97,
98,98,98,99,100,100,100,101,102,103,104,101,104,102,103,101,103,104,102,
105,106,105,106,105,106,107,108,109,110,110,110,111,112,112,112,113,114,
114,114,115,116,116,116,117,118,118,118,119,119,119,120,121,120,121,120,
121,122,123,122,123,122,123,124,125,125,125,126,127,127,127,128,129,129,
129,130,131,131,131,132,133,133,133,134,135,135,135,136,137,137,137,138,
139,139,139,140,141,141,141,142,143,143,143,144,145,145,145,146,147,147,
147,148,149,149,149,150,151,151,151,152,153,153,153,154,155,155,155,156,
157,158,157,158,157,158,159,160,159,160,159,160,161,162,162,162,163,164,
164,164,165,166,166,166,167,168,168,168,169,170,170,170,171,172,172,172,
173,174,174,174],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);

MOT("2^2.2E6(2).2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13,17,19]\n",
"the 2nd power map is determined only up to automorphisms of the characters"
],
[612259837470198831513600,612259837470198831513600,306129918735099415756800,
154297215504875520,154297215504875520,77148607752437760,194819716546560,
194819716546560,97409858273280,115964116992,220723937280,220723937280,
110361968640,12541132800,12541132800,6270566400,80621568,80621568,40310784,
338228674560,338228674560,169114337280,65229815808,3623878656,3170893824,
3170893824,1585446912,1585446912,201326592,188743680,188743680,94371840,
50331648,50331648,25165824,25165824,37748736,37748736,18874368,3145728,
1572864,1048576,806400,806400,403200,318504960,318504960,159252480,7962624,
7962624,3981312,3538944,3538944,1769472,2985984,2985984,1492992,1105920,
1105920,552960,221184,331776,331776,165888,221184,221184,110592,110592,110592,
55296,1128960,1128960,564480,9408,9408,4704,294912,1179648,1179648,589824,
196608,65536,49152,49152,24576,24576,16384,32768,32768,16384,16384,32768,
32768,16384,16384,2048,8192,8192,4096,2592,2592,1296,1296,1296,648,7680,7680,
3840,3840,3840,1920,264,264,264,264,331776,124416,331776,331776,165888,36864,
6912,36864,36864,18432,18432,18432,9216,9216,13824,13824,6912,6912,18432,
18432,9216,1536,1536,4608,4608,2304,4608,4608,2304,4608,4608,2304,2304,2304,
2304,2304,1536,1536,768,768,384,384,104,104,52,3584,3584,1792,448,448,224,
7200,7200,3600,720,720,360,512,256,512,512,256,256,512,512,256,256,136,136,68,
136,136,68,432,432,432,432,432,432,216,288,288,144,76,76,76,76,640,640,320,
320,320,160,504,504,252,168,168,84,88,88,88,88,2304,2304,1152,2304,2304,1152,
384,384,384,192,192,448,448,224,224,224,224,112,480,480,240,240,240,120,132,
132,132,132,140,140,140,140,13244506413465600,13244506413465600,190253629440,
190253629440,6794772480,6794772480,5284823040,5284823040,792723456,792723456,
37748736,37748736,12582912,12582912,786432,786432,17418240,17418240,17418240,
17418240,276480,276480,186624,186624,55296,55296,20736,20736,6193152,491520,
491520,393216,393216,294912,294912,98304,131072,131072,49152,49152,32768,
32768,24576,12288,12288,2048,14400,14400,960,960,55296,55296,46080,46080,
27648,27648,20736,20736,18432,18432,4608,4608,4608,4608,4608,4608,3456,3456,
2304,2304,1536,1536,384,384,4704,4704,4704,4704,224,224,3072,3072,512,512,512,
512,512,216,216,216,216,72,72,960,960,320,320,1728,1152,1152,1152,1152,576,
384,384,384,384,192,192,192,96,96,96,96,52,52,224,224,112,112,360,360,360,360,
120,120,64,64,68,68,68,68,72,72,80,80,84,84,84,84,96,96,112,112,120,120],
[,[1,1,1,1,1,1,1,1,1,1,11,11,11,14,14,14,17,17,17,4,4,4,4,4,8,8,9,9,4,7,7,7,8,
8,9,9,10,10,10,7,10,10,43,43,43,11,11,11,14,14,14,11,11,11,17,17,17,14,14,14,
11,17,17,17,14,14,14,17,17,17,71,71,71,74,74,74,20,23,23,23,24,24,25,25,27,27,
29,33,33,35,35,33,33,35,35,37,42,42,42,100,100,100,103,103,103,43,43,43,43,43,
43,112,112,112,112,46,55,49,49,49,46,55,49,49,49,53,53,54,54,63,63,64,64,52,
52,52,52,55,58,58,58,65,65,65,69,69,69,70,70,70,70,63,63,64,64,68,68,158,158,
158,71,71,71,74,74,74,167,167,167,170,170,170,82,82,88,88,90,90,92,92,94,94,
183,183,183,186,186,186,100,100,100,100,103,103,103,100,100,100,199,199,199,
199,106,106,106,109,109,109,209,209,209,212,212,212,112,112,112,112,123,123,
123,118,118,118,121,126,126,128,128,162,162,163,163,164,164,164,167,167,167,
170,170,170,243,243,243,243,247,247,247,247,1,2,2,1,7,8,8,7,5,4,7,8,8,7,10,10,
11,12,14,15,12,11,17,18,15,14,18,17,26,21,20,33,33,23,23,26,33,33,25,25,33,33,
34,38,37,42,43,44,44,43,52,53,59,58,58,59,62,63,53,52,50,49,52,53,58,59,56,55,
62,63,59,58,68,69,71,72,74,75,75,74,81,81,81,88,88,92,92,100,101,103,104,104,
103,110,109,109,110,131,116,116,119,118,127,126,126,124,123,131,152,152,153,
153,143,142,158,159,162,161,165,164,167,168,170,171,171,170,173,173,183,184,
186,187,196,197,204,203,209,210,212,213,225,225,231,231,237,238],[1,2,3,4,5,6,
7,8,9,10,1,2,3,1,2,3,1,2,3,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,4,5,6,4,5,6,7,8,9,4,5,6,7,8,9,10,7,8,9,10,10,10,10,
10,10,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,17,18,19,17,18,19,106,107,108,109,110,111,112,113,114,115,23,
23,23,23,23,24,24,20,21,22,25,26,27,28,25,26,27,28,30,31,32,40,29,30,31,32,37,
38,39,37,38,39,37,38,39,39,33,34,35,36,41,41,158,159,160,161,162,163,164,165,
166,43,44,45,43,44,45,173,174,175,176,177,178,179,180,181,182,186,187,188,183,
184,185,55,56,57,57,55,56,57,62,63,64,199,200,202,201,203,204,205,206,207,208,
71,72,73,74,75,76,215,216,217,218,77,77,77,78,79,80,81,83,84,85,86,230,231,
232,233,234,235,236,109,110,111,106,107,108,112,113,114,115,247,248,249,250,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,251,252,251,
252,253,254,251,252,253,254,253,254,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,299,300,255,256,257,258,255,256,255,
256,257,258,259,260,261,262,261,262,259,260,261,262,263,264,265,266,325,326,
327,328,329,330,331,332,333,334,335,336,337,273,274,273,274,277,278,344,345,
346,347,279,284,285,284,285,279,289,290,280,281,286,282,283,293,293,294,295,
365,366,367,368,369,370,297,298,297,298,299,300,377,378,381,382,379,380,307,
308,385,386,325,326,327,328,331,332,393,394,345,344],,[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,
37,38,39,40,41,42,1,2,3,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
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,
90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,4,5,6,7,8,9,112,113,114,
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,
153,154,155,157,156,158,159,160,161,162,163,164,165,166,14,15,16,11,12,13,173,
174,175,176,177,178,179,180,181,182,186,187,188,183,184,185,189,190,192,191,
193,194,195,196,197,198,199,200,201,202,20,21,22,30,31,32,209,210,211,212,213,
214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,
233,234,235,236,58,59,60,46,47,48,243,244,245,246,71,72,73,73,251,252,253,254,
255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,
274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,295,296,251,252,253,254,301,302,303,304,305,306,307,308,309,310,311,
312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,
332,331,333,334,335,336,337,338,339,340,341,342,343,257,258,255,256,348,349,
350,351,352,353,354,355,356,357,358,359,360,362,361,363,364,365,366,367,368,
369,370,269,270,267,268,271,272,378,377,381,382,379,380,383,384,280,281,387,
388,389,390,392,391,394,393,304,303],,[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,
69,70,1,2,3,1,2,3,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,115,114,116,
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,
155,156,157,158,159,160,7,8,9,4,5,6,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,186,187,188,183,184,185,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,14,15,16,11,12,13,215,216,
218,217,219,220,221,222,223,224,225,226,227,228,229,25,26,27,28,20,21,22,237,
238,239,240,241,242,243,244,246,245,43,44,45,45,251,252,253,254,255,256,257,
258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,
277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,251,252,251,252,253,254,332,331,333,
334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,
353,354,355,356,357,358,359,360,361,362,363,364,365,366,257,258,259,260,371,
372,373,374,375,376,378,377,381,382,379,380,383,384,385,386,269,270,267,268,
392,391,279,279,395,396],,,,[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,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,1,2,3,3,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,157,156,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,186,187,188,183,184,185,189,190,192,191,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,4,
5,6,6,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,
237,238,239,240,241,242,11,12,13,13,247,248,249,250,251,252,253,254,255,256,
257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,
276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,
352,353,354,355,356,357,358,359,360,362,361,363,364,365,366,367,368,369,370,
371,372,373,374,375,376,377,378,381,382,379,380,383,384,385,386,387,388,389,
390,391,392,394,393,395,396],,[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,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,115,114,116,
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,
155,156,157,1,2,3,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,202,201,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,218,217,219,220,221,222,223,224,225,226,227,228,229,230,231,232,
233,234,235,236,237,238,239,240,241,242,243,244,246,245,247,248,249,250,251,
252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,
328,329,330,332,331,333,334,335,336,337,338,339,340,341,342,343,344,345,346,
347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,251,
252,367,368,369,370,371,372,373,374,375,376,378,377,379,380,381,382,383,384,
385,386,387,388,389,390,392,391,394,393,395,396],,,,[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,
112,113,115,114,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,157,156,158,159,160,161,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,1,2,3,1,2,3,189,190,
192,191,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,218,217,219,220,221,222,223,224,225,226,227,228,
229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,246,245,247,
248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,
267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,
286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,
343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,362,
361,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,251,252,
251,252,383,384,385,386,387,388,389,390,391,392,394,393,395,396],,[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,
108,109,110,111,112,113,115,114,116,117,118,119,120,121,122,123,124,125,126,
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,
184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,1,2,3,3,203,204,
205,206,207,208,209,210,211,212,213,214,215,216,218,217,219,220,221,222,223,
224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,
243,244,246,245,247,248,250,249,251,252,253,254,255,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,
281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,
300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,
319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,
338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,
357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,
395,396]],
0,
[(393,394),(331,332)(377,378)(391,392),(331,332)(377,378)(391,392)(393,394),
(249,250),(249,250)(393,394),(201,202),(191,192),(183,186)(184,187)(185,188)
(379,381)(380,382),(156,157)(191,192)(361,362),(114,115)(217,218)(245,246)],
["ConstructMGA","2^2.2E6(2)","2.2E6(2).2",
[ [ 203, 279 ], [ 204, 280 ], [ 205, 281 ], [ 206, 282 ],
  [ 207, 283 ], [ 208, 284 ], [ 209, 285 ], [ 210, 286 ], [ 211, 287 ],
  [ 212, 288 ], [ 213, 289 ], [ 214, 290 ], [ 215, 291 ], [ 216, 293 ],
  [ 217, 292 ], [ 218, 294 ], [ 219, 295 ], [ 220, 296 ], [ 221, 297 ],
  [ 222, 298 ], [ 223, 299 ], [ 224, 300 ], [ 225, 301 ], [ 226, 302 ],
  [ 227, 303 ], [ 228, 304 ], [ 229, 305 ], [ 230, 307 ], [ 231, 306 ],
  [ 232, 309 ], [ 233, 308 ], [ 234, 310 ], [ 235, 311 ], [ 236, 312 ],
  [ 237, 313 ], [ 238, 314 ], [ 239, 315 ], [ 240, 316 ], [ 241, 317 ],
  [ 242, 318 ], [ 243, 319 ], [ 244, 320 ], [ 245, 321 ], [ 246, 322 ],
  [ 247, 323 ], [ 248, 324 ], [ 249, 325 ], [ 250, 326 ], [ 251, 328 ],
  [ 252, 327 ], [ 253, 330 ], [ 254, 329 ], [ 255, 331 ], [ 256, 332 ],
  [ 257, 333 ], [ 258, 334 ], [ 259, 335 ], [ 260, 336 ], [ 261, 337 ],
  [ 262, 339 ], [ 263, 338 ], [ 264, 341 ], [ 265, 340 ], [ 266, 342 ],
  [ 267, 343 ], [ 268, 344 ], [ 269, 345 ], [ 270, 346 ], [ 271, 347 ],
  [ 272, 348 ], [ 273, 349 ], [ 274, 350 ], [ 275, 351 ], [ 276, 352 ],
  [ 277, 353 ], [ 278, 354 ] ], ()]);
ALF("2^2.2E6(2).2","2.2E6(2).2",[1,1,2,3,3,4,5,5,6,7,8,8,9,10,10,11,12,12,
13,14,14,15,16,17,18,19,20,20,21,22,22,23,24,25,26,26,27,27,28,29,30,31,
32,32,33,34,34,35,36,36,37,38,38,39,40,40,41,42,42,43,44,45,45,46,47,47,
48,49,49,50,51,51,52,53,53,54,55,56,56,57,58,59,60,61,62,62,63,64,65,66,
66,67,68,69,69,70,71,71,72,73,73,74,75,75,76,77,77,78,79,79,80,81,81,82,
82,83,84,85,85,86,87,88,89,89,90,91,92,93,93,94,95,96,96,97,97,98,99,100,
101,101,102,103,103,104,105,105,106,107,107,108,108,109,110,111,111,112,
113,114,114,115,116,116,117,118,118,119,120,120,121,122,122,123,124,125,
126,127,128,128,129,130,131,131,132,132,133,134,134,135,136,136,137,137,
138,138,139,140,140,141,142,142,143,143,144,144,145,146,146,147,148,148,
149,150,150,151,152,152,153,153,154,154,155,156,156,157,158,159,160,161,
161,162,163,164,164,165,165,166,167,167,168,169,169,170,171,171,172,172,
173,173,174,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,
225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,
243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,
279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,
297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320]);
ALF("2^2.2E6(2).2","2^2.2E6(2).3.2",[1,2,2,3,4,4,5,6,6,7,8,9,9,10,11,11,
12,13,13,14,15,15,16,17,18,19,18,19,20,21,22,22,23,24,23,24,25,26,26,27,
28,29,30,31,31,32,33,33,34,35,35,36,37,37,38,39,39,40,41,41,42,43,44,44,
45,46,46,47,48,48,49,50,50,51,52,52,53,54,55,55,56,57,58,59,58,59,60,61,
62,61,62,63,64,63,64,65,66,67,67,68,69,69,70,71,71,72,73,73,74,75,75,76,
77,77,77,78,79,80,81,81,82,83,84,85,85,86,87,86,87,88,89,88,89,90,91,91,
92,93,94,95,95,96,97,97,98,99,100,98,100,99,100,101,102,101,102,103,104,
105,106,106,107,108,108,109,110,110,111,112,112,113,114,114,115,115,116,
117,116,117,118,119,118,119,120,121,121,122,123,123,124,125,125,125,126,
127,127,128,129,129,130,131,131,131,132,133,133,134,135,135,136,137,137,
138,139,139,140,141,141,141,142,143,143,144,145,145,146,147,148,147,148,
149,150,149,150,151,152,152,153,154,154,155,156,156,157,158,158,158,159,
160,160,160,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,
350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,
386,387,388,389,390],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALF("2^2.2E6(2).2","2E6(2).2",[1,1,1,2,2,2,3,3,3,4,5,5,5,6,6,6,7,7,7,8,8,
8,9,10,11,11,12,12,13,14,14,14,15,15,16,16,17,17,17,18,19,20,21,21,21,22,
22,22,23,23,23,24,24,24,25,25,25,26,26,26,27,28,28,28,29,29,29,30,30,30,
31,31,31,32,32,32,33,34,34,34,35,36,37,37,38,38,39,40,40,41,41,42,42,43,
43,44,45,45,45,46,46,46,47,47,47,48,48,48,49,49,49,50,50,50,50,51,52,53,
53,53,54,55,56,56,56,57,57,58,58,59,59,60,60,61,61,61,62,63,64,64,64,65,
65,65,66,66,66,67,67,67,67,68,68,69,69,70,71,72,72,72,73,73,73,74,74,74,
75,75,75,76,76,76,77,78,79,79,80,80,81,81,82,82,83,83,83,84,84,84,85,85,
85,85,86,86,86,87,87,87,88,88,88,88,89,89,89,90,90,90,91,91,91,92,92,92,
93,93,93,93,94,94,94,95,95,95,96,97,97,98,98,99,99,100,100,101,101,101,
102,102,102,103,103,103,104,104,104,104,105,105,105,105,106,106,107,107,
108,108,109,109,110,110,111,111,112,112,113,113,114,114,115,115,116,116,
117,117,118,118,119,119,120,121,121,122,122,123,123,124,125,125,126,127,
128,129,130,131,131,132,133,133,134,134,135,135,136,136,137,137,138,138,
139,139,140,140,141,141,142,142,143,143,144,144,145,145,146,146,147,147,
148,148,149,149,150,151,152,153,153,154,154,155,155,156,156,157,157,158,
158,159,159,160,161,161,162,162,163,164,165,166,166,167,168,168,169,170,
171,171,172,172,173,173,174,174,175,175,176,176,177,177,178,179,180,180,
181,181,182,182,183,183,184,184,185,185,186,187,188,188,189,189]);
ALF("2^2.2E6(2).2","2.B",[1,2,3,5,4,3,4,5,7,7,8,9,27,8,9,28,10,11,31,13,
13,12,13,14,13,14,16,17,18,19,19,15,14,18,20,20,16,17,20,19,22,20,23,24,
62,30,29,27,30,29,28,29,30,36,35,34,31,29,30,32,36,34,35,39,36,36,32,37,
38,39,41,42,99,41,42,100,47,44,44,45,46,50,44,47,52,52,51,46,50,53,54,50,
48,56,56,52,53,54,56,60,61,120,60,61,121,64,63,62,63,64,68,71,72,143,144,
76,74,76,76,73,80,87,76,76,75,76,80,83,84,74,87,88,89,86,86,77,86,90,86,
86,81,83,84,91,78,79,92,88,89,94,95,87,90,95,94,93,93,97,98,169,102,103,
104,103,102,100,105,106,178,105,106,179,112,114,109,113,115,115,112,111,
116,117,118,119,201,118,119,202,123,122,120,120,123,122,121,122,123,124,
128,129,209,210,133,133,132,135,135,134,141,142,219,141,142,220,146,145,
143,144,153,153,154,151,151,152,157,151,153,160,160,172,173,176,177,172,
172,174,181,182,183,182,181,179,198,199,244,245,203,204,246,247,3,6,6,7,
15,13,12,15,15,14,15,18,18,19,22,20,28,33,27,33,33,32,31,40,33,36,40,39,
43,47,44,43,48,45,47,48,48,46,47,45,50,48,51,49,52,56,62,65,65,68,81,73,
75,77,77,73,85,74,75,81,81,80,81,82,77,82,85,87,85,90,82,86,93,92,100,101,
99,101,101,104,110,110,113,110,113,111,112,121,127,120,127,127,124,130,
134,134,133,156,152,154,152,153,155,154,152,154,151,161,156,161,164,164,
159,160,169,168,174,175,175,173,179,180,178,180,180,183,196,197,202,200,
201,200,206,205,215,213,220,221,219,221,233,233,238,239,241,240],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);
ALN("2^2.2E6(2).2",["2.BM1"]);

MOT("2^2.2E6(2).3",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13,17,19]"
],
[918389756205298247270400,306129918735099415756800,231445823257313280,
77148607752437760,292229574819840,97409858273280,173946175488,331085905920,
110361968640,18811699200,6270566400,120932352,40310784,507343011840,
169114337280,97844723712,5435817984,1585446912,1585446912,301989888,283115520,
94371840,25165824,25165824,56623104,18874368,4718592,2359296,1572864,1209600,
403200,477757440,159252480,11943936,3981312,5308416,1769472,4478976,1492992,
1658880,552960,331776,497664,165888,331776,110592,165888,55296,1693440,564480,
14112,4704,442368,1769472,589824,294912,98304,24576,24576,24576,16384,16384,
16384,16384,3072,12288,4096,3888,1296,1944,648,11520,3840,5760,1920,792,264,
792,264,497664,186624,497664,165888,55296,20736,20736,55296,18432,9216,9216,
6912,6912,27648,9216,2304,2304,6912,2304,6912,2304,2304,2304,2304,2304,768,
768,576,576,156,52,5376,1792,672,224,10800,3600,1080,360,256,256,256,256,256,
204,68,204,68,1296,432,1296,432,648,216,432,144,228,76,228,76,960,320,480,160,
756,252,252,84,264,88,264,88,3456,1152,3456,1152,576,192,192,224,224,336,112,
720,240,360,120,396,132,396,132,420,140,420,140,75046138675200,75046138675200,
1902071808,1902071808,246343680,246343680,49641984,49641984,3822059520,
3822059520,1114767360,1114767360,106168320,106168320,82114560,82114560,
3538944,3538944,2322432,2322432,1492992,1492992,497664,497664,82944,82944,
27648,27648,27648,27648,13824,13824,11664,11664,1458,1458,2654208,2654208,
1474560,1474560,442368,442368,276480,276480,73728,73728,32256,32256,27648,
27648,20736,20736,18432,18432,18432,18432,13824,13824,6912,6912,6912,6912,
6144,6144,2304,2304,1728,1728,576,576,576,576,576,576,576,576,576,576,302400,
302400,2700,2700,270,270,3888,3888,1296,1296,486,486,432,432,3528,3528,1260,
1260,441,441,63,63,2304,2304,2304,2304,2304,2304,384,384,288,288,288,288,288,
288,192,192,192,192,96,96,2880,2880,1440,1440,180,180,90,90,198,198,198,198,
99,99,99,99,216,216,72,72,39,39,168,168,84,84,51,51,51,51,57,57,57,57,240,240,
120,120,66,66,66,66,84,84,105,105,105,105],
[,[1,1,1,1,1,1,1,8,8,10,10,12,12,3,3,3,3,6,6,3,5,5,6,6,7,7,5,7,7,30,30,8,8,10,
10,8,8,12,12,10,10,8,12,12,10,10,12,12,49,49,51,51,14,16,16,17,17,18,18,20,23,
23,23,23,25,29,29,68,68,70,70,30,30,30,30,78,78,76,76,32,38,34,34,32,38,38,34,
34,37,37,44,44,36,36,36,38,40,40,45,45,48,48,48,48,44,44,47,47,109,109,49,49,
51,51,115,115,117,117,57,61,61,63,63,124,124,126,126,68,68,68,68,70,70,68,68,
138,138,136,136,72,72,74,74,144,144,146,146,78,78,76,76,87,87,82,82,84,89,89,
112,112,113,113,115,115,117,117,169,169,167,167,173,173,171,171,176,175,178,
177,180,179,182,181,176,175,176,175,176,175,180,179,176,175,178,177,180,179,
180,179,180,179,178,177,180,179,182,181,208,207,210,209,184,183,184,183,184,
183,186,185,184,183,194,193,188,187,196,195,186,185,192,191,194,193,196,195,
196,195,192,191,196,195,200,199,202,201,200,199,206,205,206,205,206,205,254,
253,256,255,258,257,208,207,208,207,210,209,208,207,268,267,270,269,272,271,
274,273,212,211,214,213,216,215,220,219,222,221,232,231,236,235,230,229,238,
237,236,235,254,253,254,253,256,255,258,257,306,305,304,303,310,309,308,307,
262,261,262,261,316,315,268,267,270,269,322,321,324,323,328,327,326,325,296,
295,298,297,306,305,304,303,318,317,342,341,340,339],[1,2,3,4,5,6,7,1,2,1,2,1,
2,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,3,4,3,4,5,6,3,4,5,6,7,
5,6,7,7,7,7,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,12,13,12,
13,72,73,74,75,76,77,78,79,16,16,16,16,17,17,17,14,15,18,19,18,19,21,22,27,20,
21,22,25,26,25,26,26,26,23,24,28,28,109,110,111,112,113,114,30,31,30,31,119,
120,121,122,123,126,127,124,125,38,39,38,39,38,39,43,44,138,139,136,137,140,
141,142,143,49,50,51,52,148,149,150,151,53,53,54,55,56,58,59,159,160,161,162,
74,75,72,73,76,77,78,79,171,172,173,174,1,1,1,1,1,1,1,1,3,3,5,5,5,5,3,3,7,7,3,
3,3,3,5,5,5,5,7,7,7,7,7,7,12,12,12,12,16,16,14,14,17,17,21,21,20,20,14,14,21,
21,16,16,27,27,25,25,16,16,17,17,17,17,29,29,20,20,21,21,28,28,27,27,25,25,28,
28,28,28,30,30,30,30,30,30,38,38,38,38,38,38,43,43,51,51,49,49,49,49,51,51,54,
54,53,53,56,56,60,60,53,53,54,54,56,56,65,65,66,66,57,57,72,72,74,74,74,74,72,
72,76,76,78,78,76,76,78,78,81,81,86,85,109,109,113,113,111,111,126,126,124,
124,138,138,136,136,140,140,142,142,148,148,150,150,161,161,171,171,173,
173],,[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,
27,28,29,1,2,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,3,4,5,6,76,77,78,79,
80,81,82,83,84,86,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,108,107,109,110,111,112,113,114,10,11,8,9,119,120,121,122,123,126,
127,124,125,130,131,128,129,132,133,134,135,136,137,138,139,14,15,21,22,144,
145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,40,41,
32,33,167,168,169,170,49,50,49,50,176,175,178,177,180,179,182,181,184,183,186,
185,188,187,190,189,192,191,194,193,196,195,198,197,200,199,202,201,204,203,
206,205,208,207,210,209,212,211,214,213,216,215,218,217,220,219,222,221,224,
223,226,225,228,227,230,229,232,231,234,233,236,235,238,237,240,239,242,241,
244,243,246,245,248,247,250,249,252,251,176,175,176,175,180,179,260,259,262,
261,264,263,266,265,268,267,270,269,272,271,274,273,276,275,278,277,280,279,
282,281,284,283,286,285,288,287,290,289,292,291,294,293,184,183,186,185,188,
187,190,189,304,303,306,305,308,307,310,309,312,311,314,313,316,315,318,317,
320,319,324,323,322,321,326,325,328,327,214,213,218,217,334,333,336,335,338,
337,270,269,270,269],,[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,
48,1,2,1,2,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,78,79,76,77,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,5,6,3,4,115,116,117,118,119,120,
121,122,123,126,127,124,125,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,10,11,8,9,150,151,148,149,152,153,154,155,156,157,158,18,19,
14,15,163,164,165,166,169,170,167,168,30,31,30,31,175,176,177,178,179,180,181,
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,
258,259,260,261,262,263,264,265,266,177,178,175,176,177,178,181,182,275,276,
277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,
296,297,298,299,300,301,302,305,306,303,304,309,310,307,308,311,312,313,314,
315,316,193,194,185,186,323,324,321,322,325,326,327,328,329,330,331,332,335,
336,333,334,221,222,253,254,253,254],,,,[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,
68,69,70,71,72,73,74,75,1,2,1,2,80,81,82,83,84,86,85,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,108,107,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,126,127,124,125,130,131,128,129,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,3,4,3,4,152,153,154,
155,156,157,158,159,160,161,162,163,164,165,166,8,9,8,9,171,172,173,174,176,
175,178,177,180,179,182,181,184,183,186,185,188,187,190,189,192,191,194,193,
196,195,198,197,200,199,202,201,204,203,206,205,208,207,210,209,212,211,214,
213,216,215,218,217,220,219,222,221,224,223,226,225,228,227,230,229,232,231,
234,233,236,235,238,237,240,239,242,241,244,243,246,245,248,247,250,249,252,
251,254,253,256,255,258,257,260,259,262,261,264,263,266,265,268,267,270,269,
272,271,274,273,276,275,278,277,280,279,282,281,284,283,286,285,288,287,290,
289,292,291,294,293,296,295,298,297,300,299,302,301,180,179,180,179,176,175,
176,175,312,311,314,313,316,315,318,317,320,319,324,323,322,321,326,325,328,
327,330,329,332,331,190,189,190,189,338,337,340,339,342,341],,[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,
60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,78,79,76,77,80,81,82,83,84,85,
86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
1,2,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,138,139,136,137,140,141,142,143,144,145,146,147,
150,151,148,149,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
169,170,167,168,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,
243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,
281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,
300,301,302,305,306,303,304,309,310,307,308,311,312,313,314,177,178,317,318,
319,320,321,322,323,324,327,328,325,326,329,330,331,332,335,336,333,334,337,
338,339,340,341,342],,,,[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,
73,74,75,78,79,76,77,80,81,82,83,84,86,85,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,108,107,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,1,2,1,2,130,131,128,129,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,147,150,151,148,149,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,169,170,167,168,171,172,173,174,176,175,
178,177,180,179,182,181,184,183,186,185,188,187,190,189,192,191,194,193,196,
195,198,197,200,199,202,201,204,203,206,205,208,207,210,209,212,211,214,213,
216,215,218,217,220,219,222,221,224,223,226,225,228,227,230,229,232,231,234,
233,236,235,238,237,240,239,242,241,244,243,246,245,248,247,250,249,252,251,
254,253,256,255,258,257,260,259,262,261,264,263,266,265,268,267,270,269,272,
271,274,273,276,275,278,277,280,279,282,281,284,283,286,285,288,287,290,289,
292,291,294,293,296,295,298,297,300,299,302,301,306,305,304,303,310,309,308,
307,312,311,314,313,316,315,318,317,320,319,176,175,176,175,326,325,328,327,
330,329,332,331,336,335,334,333,338,337,340,339,342,341],,[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,
62,63,64,65,66,67,68,69,70,71,72,73,74,75,78,79,76,77,80,81,82,83,84,85,86,87,
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,
129,130,131,132,133,134,135,1,2,1,2,140,141,142,143,144,145,146,147,150,151,
148,149,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,169,170,
167,168,173,174,171,172,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,
264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,
302,305,306,303,304,309,310,307,308,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,181,182,181,182,329,330,331,332,335,336,333,334,337,338,341,
342,339,340]],
0,
[(171,173)(172,174)(339,341)(340,342),(136,138)(137,139)(325,327)(326,328),
(124,126)(125,127)(321,323)(322,324),(107,108)(249,251)(250,252),(103,104),
( 85, 86)(107,108)(128,130)(129,131)(175,176)(177,178)(179,180)(181,182)
(183,184)(185,186)(187,188)(189,190)(191,192)(193,194)(195,196)(197,198)
(199,200)(201,202)(203,204)(205,206)(207,208)(209,210)(211,212)(213,214)
(215,216)(217,218)(219,220)(221,222)(223,224)(225,226)(227,228)(229,230)
(231,232)(233,234)(235,236)(237,238)(239,240)(241,242)(243,244)(245,246)
(247,248)(249,250)(251,252)(253,254)(255,256)(257,258)(259,260)(261,262)
(263,264)(265,266)(267,268)(269,270)(271,272)(273,274)(275,276)(277,278)
(279,280)(281,282)(283,284)(285,286)(287,288)(289,290)(291,292)(293,294)
(295,296)(297,298)(299,300)(301,302)(303,304)(305,306)(307,308)(309,310)
(311,312)(313,314)(315,316)(317,318)(319,320)(321,322)(323,324)(325,326)
(327,328)(329,330)(331,332)(333,334)(335,336)(337,338)(339,340)(341,342),
( 76, 78)( 77, 79)(148,150)(149,151)(167,169)(168,170)(303,305)(304,306)
(307,309)(308,310)(333,335)(334,336)],
["ConstructMGA","2^2.2E6(2)","2E6(2).3",
[[127,203,279],[128,204,280],[129,205,281],[130,206,282],[131,207,283],[132,
208,284],[133,209,285],[134,210,286],[135,211,287],[136,212,288],[137,213,
289],[138,214,290],[139,215,291],[140,216,292],[141,217,293],[142,218,294],
[143,219,295],[144,220,296],[145,221,297],[146,222,298],[147,223,299],[148,
224,300],[149,225,301],[150,226,302],[151,227,303],[152,228,304],[153,229,
305],[154,230,306],[155,231,307],[156,232,308],[157,233,309],[158,234,310],
[159,235,311],[160,236,312],[161,237,313],[162,238,314],[163,239,315],[164,
240,316],[165,241,317],[166,242,318],[167,243,319],[168,244,320],[169,245,
321],[170,246,322],[171,247,323],[172,248,324],[173,249,325],[174,250,326],
[175,251,327],[176,252,328],[177,253,329],[178,254,330],[179,255,331],[180,
256,332],[181,257,333],[182,258,334],[183,259,335],[184,260,336],[185,261,
337],[186,262,338],[187,263,339],[188,264,340],[189,265,341],[190,266,342],
[191,267,343],[192,268,344],[193,269,345],[194,270,346],[195,271,347],[196,
272,348],[197,273,349],[198,274,350],[199,275,351],[200,276,352],[201,277,
353],[202,278,354]],()]);
ALF("2^2.2E6(2).3","2E6(2).3",[1,1,2,2,3,3,4,5,5,6,6,7,7,8,8,9,10,11,11,
12,13,13,14,14,15,15,16,17,18,19,19,20,20,21,21,22,22,23,23,24,24,25,26,
26,27,27,28,28,29,29,30,30,31,32,32,33,34,35,35,36,37,37,38,38,39,40,40,
41,41,42,42,43,43,44,44,45,45,46,46,47,48,49,49,50,51,52,53,53,54,54,55,
55,56,56,57,58,59,59,60,60,61,61,61,61,62,62,63,64,65,65,66,66,67,67,68,
68,69,69,70,71,71,72,72,73,73,74,74,75,75,76,76,77,77,78,78,79,79,80,80,
81,81,82,82,83,83,84,84,85,85,86,86,87,87,88,88,89,90,90,91,91,92,92,93,
93,94,94,95,95,96,96,97,97,98,98,99,100,101,102,103,104,105,106,107,108,
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]);
ALF("2^2.2E6(2).3","2^2.2E6(2).3.2",[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,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,76,77,78,79,80,81,82,83,83,84,
85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,
124,125,124,125,126,127,128,129,130,131,130,131,132,133,134,135,136,137,
138,139,140,141,140,141,142,143,144,145,146,147,148,149,150,151,152,153,
154,155,156,157,158,157,158,159,160,159,160,161,161,162,162,163,163,164,
164,165,165,166,166,167,167,168,168,169,169,170,170,171,171,172,172,173,
173,174,174,175,175,176,176,177,177,178,178,179,179,180,180,181,181,182,
182,183,183,184,184,185,185,186,186,187,187,188,188,189,189,190,190,191,
191,192,192,193,193,194,194,195,195,196,196,197,197,198,199,199,198,200,
200,201,201,202,202,203,203,204,204,205,205,206,206,207,207,208,208,209,
209,210,210,211,211,212,212,213,213,214,214,215,215,216,216,217,217,218,
218,219,219,220,220,221,221,222,222,223,223,224,224,225,226,226,225,227,
228,228,227,229,229,230,230,231,231,232,232,233,233,234,234,235,235,236,
237,237,236,238,238,239,239,240,241,241,240,242,242,243,244,244,243],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);

MOT("2^2.2E6(2).3.2",
[
"origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13,17,19]",
],
[1836779512410596494540800,612259837470198831513600,462891646514626560,
154297215504875520,584459149639680,194819716546560,347892350976,662171811840,
220723937280,37623398400,12541132800,241864704,80621568,1014686023680,
338228674560,195689447424,10871635968,3170893824,3170893824,603979776,
566231040,188743680,50331648,50331648,113246208,37748736,9437184,4718592,
3145728,2419200,806400,955514880,318504960,23887872,7962624,10616832,3538944,
8957952,2985984,3317760,1105920,663552,995328,331776,663552,221184,331776,
110592,3386880,1128960,28224,9408,884736,3538944,1179648,589824,196608,49152,
49152,49152,32768,32768,32768,32768,6144,24576,8192,7776,2592,3888,1296,23040,
7680,11520,3840,792,264,995328,373248,995328,331776,110592,20736,110592,36864,
18432,18432,13824,13824,55296,18432,4608,4608,13824,4608,13824,4608,4608,4608,
2304,1536,1536,1152,1152,312,104,10752,3584,1344,448,21600,7200,2160,720,512,
512,512,512,512,408,136,408,136,1296,432,1296,432,864,288,228,76,1920,640,960,
320,1512,504,504,168,264,88,6912,2304,6912,2304,1152,384,384,448,448,672,224,
1440,480,720,240,396,132,420,140,75046138675200,1902071808,246343680,49641984,
3822059520,1114767360,106168320,82114560,3538944,2322432,1492992,497664,82944,
27648,27648,13824,11664,1458,2654208,1474560,442368,276480,73728,32256,27648,
20736,18432,18432,13824,6912,6912,6144,2304,1728,576,576,576,576,576,302400,
2700,270,3888,1296,486,432,3528,1260,441,63,2304,2304,2304,384,288,288,288,
192,192,96,2880,1440,180,90,198,198,99,99,216,72,39,168,84,51,51,57,57,240,
120,66,66,84,105,105,13244506413465600,13244506413465600,190253629440,
190253629440,6794772480,6794772480,5284823040,5284823040,792723456,792723456,
37748736,37748736,12582912,12582912,786432,786432,17418240,17418240,17418240,
17418240,276480,276480,186624,186624,55296,55296,20736,20736,6193152,491520,
491520,393216,393216,294912,294912,98304,131072,131072,49152,49152,32768,
32768,24576,12288,12288,2048,14400,14400,960,960,55296,55296,46080,46080,
27648,27648,20736,20736,18432,18432,4608,4608,4608,4608,4608,4608,3456,3456,
2304,2304,1536,1536,384,384,4704,4704,4704,4704,224,224,3072,3072,512,512,512,
512,512,216,216,216,216,72,72,960,960,320,320,1728,1152,1152,1152,1152,576,
384,384,384,384,192,192,192,96,96,96,96,52,52,224,224,112,112,360,360,360,360,
120,120,64,64,68,68,68,68,72,72,80,80,84,84,84,84,96,96,112,112,120,120],
[,[1,1,1,1,1,1,1,8,8,10,10,12,12,3,3,3,3,6,6,3,5,5,6,6,7,7,5,7,7,30,30,8,8,10,
10,8,8,12,12,10,10,8,12,12,10,10,12,12,49,49,51,51,14,16,16,17,17,18,18,20,23,
23,23,23,25,29,29,68,68,70,70,30,30,30,30,76,76,32,38,34,34,32,38,34,34,37,37,
44,44,36,36,36,38,40,40,45,45,48,48,48,44,44,47,47,105,105,49,49,51,51,111,
111,113,113,57,61,61,63,63,120,120,122,122,68,68,70,70,68,68,130,130,72,72,74,
74,136,136,138,138,76,76,84,84,80,80,82,86,86,108,108,109,109,111,111,113,113,
157,157,159,159,161,162,163,164,161,161,161,163,161,162,163,163,163,162,163,
164,177,178,165,165,165,166,165,170,167,171,166,169,170,171,171,169,171,173,
174,173,176,176,176,200,201,202,177,177,178,177,207,208,209,210,179,180,181,
183,184,189,191,188,192,191,200,200,201,202,225,226,227,228,204,204,231,207,
208,234,235,236,237,221,222,225,226,232,243,244,1,2,2,1,5,6,6,5,4,3,5,6,6,5,7,
7,8,9,10,11,9,8,12,13,11,10,13,12,19,15,14,23,23,16,16,19,23,23,18,18,23,23,
24,26,25,29,30,31,31,30,36,37,41,40,40,41,43,44,37,36,35,34,36,37,40,41,39,38,
43,44,41,40,47,48,49,50,51,52,52,51,56,56,56,61,61,63,63,68,69,70,71,71,70,75,
74,74,75,89,78,78,81,80,87,86,86,85,84,89,101,101,102,102,97,96,105,106,108,
107,110,109,111,112,113,114,114,113,115,115,120,121,122,123,128,129,133,132,
136,137,138,139,146,146,150,150,153,154],[1,2,3,4,5,6,7,1,2,1,2,1,2,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,3,4,3,4,5,6,3,4,5,6,7,5,6,7,7,7,
7,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,12,13,12,13,72,73,
74,75,76,77,16,16,16,16,17,17,14,15,18,19,18,19,21,22,27,20,21,22,25,26,25,26,
26,23,24,28,28,105,106,107,108,109,110,30,31,30,31,115,116,117,118,119,122,
123,120,121,38,39,38,39,43,44,130,131,132,133,134,135,49,50,51,52,140,141,53,
53,54,55,56,58,59,149,150,151,152,74,75,72,73,76,77,159,160,1,1,1,1,3,5,5,3,7,
3,3,5,5,7,7,7,12,12,16,14,17,21,20,14,21,16,27,25,16,17,17,29,20,21,28,27,25,
28,28,30,30,30,38,38,38,43,51,49,49,51,54,53,56,60,53,54,56,65,66,57,72,74,74,
72,76,76,76,76,79,83,105,109,107,122,120,130,130,132,134,140,140,151,159,159,
245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,245,246,245,
246,247,248,245,246,247,248,247,248,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,249,250,251,252,249,250,249,
250,251,252,253,254,255,256,255,256,253,254,255,256,257,258,259,260,319,320,
321,322,323,324,325,326,327,328,329,330,331,267,268,267,268,271,272,338,339,
340,341,273,278,279,278,279,273,283,284,274,275,280,276,277,287,287,288,289,
359,360,361,362,363,364,291,292,291,292,293,294,371,372,375,376,373,374,301,
302,379,380,319,320,321,322,325,326,387,388,339,338],,[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,1,2,32,33,34,35,36,
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,
63,64,65,66,67,68,69,70,71,3,4,5,6,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,94,95,96,97,98,99,100,101,102,104,103,105,106,107,108,109,110,10,
11,8,9,115,116,117,118,119,122,123,120,121,124,125,126,127,128,129,130,131,14,
15,21,22,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,
40,41,32,33,157,158,49,50,161,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,
193,194,195,196,197,199,198,161,161,163,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,219,220,165,166,167,168,226,225,228,227,229,230,
231,232,233,235,234,237,236,180,182,241,240,242,208,208,245,246,247,248,249,
250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,
269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,
288,289,290,245,246,247,248,295,296,297,298,299,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,326,
325,327,328,329,330,331,332,333,334,335,336,337,251,252,249,250,342,343,344,
345,346,347,348,349,350,351,352,353,354,356,355,357,358,359,360,361,362,363,
364,263,264,261,262,265,266,372,371,375,376,373,374,377,378,274,275,381,382,
383,384,386,385,388,387,298,297],,[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,
44,45,46,47,48,1,2,1,2,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
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,
97,98,99,100,101,102,103,104,105,106,5,6,3,4,111,112,113,114,115,116,117,118,
119,122,123,120,121,124,125,126,127,128,129,130,131,132,133,134,135,10,11,8,9,
140,141,142,143,144,145,146,147,148,18,19,14,15,153,154,155,156,157,158,30,31,
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,
199,200,201,202,203,204,205,206,162,161,162,164,211,212,213,214,215,216,217,
218,219,220,221,222,223,224,226,225,228,227,229,230,231,170,166,235,234,236,
237,238,239,241,240,184,200,200,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,
275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,
313,314,315,316,317,318,245,246,245,246,247,248,326,325,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,358,359,360,251,252,253,254,365,366,367,368,369,
370,372,371,375,376,373,374,377,378,379,380,263,264,261,262,386,385,273,273,
389,390],,,,[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,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,1,
2,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,
102,104,103,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,122,
123,120,121,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,3,
4,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,8,9,159,160,161,
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,199,198,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
219,220,221,222,223,224,163,163,161,161,229,230,231,232,233,235,234,237,236,
238,239,168,168,242,244,243,245,246,247,248,249,250,251,252,253,254,255,256,
257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,
276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,
352,353,354,356,355,357,358,359,360,361,362,363,364,365,366,367,368,369,370,
371,372,375,376,373,374,377,378,379,380,381,382,383,384,385,386,388,387,389,
390],,[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,
103,104,1,2,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
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,
218,219,220,221,222,223,224,226,225,228,227,229,230,162,232,233,234,235,237,
236,238,239,241,240,242,243,244,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,
275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,323,324,326,325,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,358,245,246,361,362,363,364,365,366,367,368,369,
370,372,371,373,374,375,376,377,378,379,380,381,382,383,384,386,385,388,387,
389,390],,,,[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,
102,104,103,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,1,2,1,
2,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
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,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,199,198,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,161,161,237,236,
238,239,240,241,242,244,243,245,246,247,248,249,250,251,252,253,254,255,256,
257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,
276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,
352,353,354,356,355,357,358,359,360,361,362,363,364,365,366,367,368,369,370,
371,372,245,246,245,246,377,378,379,380,381,382,383,384,385,386,388,387,389,
390],,[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,
122,123,124,125,126,127,128,129,1,2,132,133,134,135,136,137,138,139,140,141,
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,
218,219,220,221,222,223,224,226,225,228,227,229,230,231,232,233,234,235,164,
164,238,239,241,240,242,244,243,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,
275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,
370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,390]],
0,
[(387,388),(325,326)(371,372)(385,386),(325,326)(371,372)(385,386)(387,388),
(243,244),(243,244)(387,388),(236,237),(225,226)(227,228)(240,241),(120,122)
(121,123)(234,235)(373,375)(374,376),(103,104)(198,199)(225,226)(227,228)
(236,237)(240,241)(243,244)(355,356)],
["ConstructGS3","2^2.2E6(2).2","2^2.2E6(2).3",
    [ 17, 18, 30, 31, 35, 36, 44, 45, 57, 58, 76, 77, 87, 88, 95, 96,
      114, 115, 127, 128, 134, 135, 141, 142, 151, 152, 154, 155, 190, 191,
      192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205,
      206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219,
      220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233,
      234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247,
      248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261,
      262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275,
      276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289,
      290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303,
      304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317,
      318, 319, 320 ],
    [ [ 2, 3 ], [ 5, 6 ], [ 8, 9 ], [ 11, 12 ], [ 14, 15 ], [ 17, 18 ],
      [ 20, 21 ], [ 23, 24 ], [ 26, 27 ], [ 29, 30 ], [ 33, 34 ], [ 36, 37 ],
      [ 39, 40 ], [ 42, 43 ], [ 45, 46 ], [ 48, 49 ], [ 51, 52 ], [ 55, 56 ],
      [ 59, 60 ], [ 62, 63 ], [ 65, 66 ], [ 68, 69 ], [ 72, 73 ], [ 75, 76 ],
      [ 78, 79 ], [ 81, 82 ], [ 84, 85 ], [ 87, 88 ], [ 90, 91 ], [ 93, 94 ],
      [ 96, 97 ], [ 99, 100 ], [ 103, 104 ], [ 106, 107 ], [ 109, 110 ],
      [ 112, 113 ], [ 115, 118 ], [ 117, 119 ], [ 116, 120 ], [ 122, 123 ],
      [ 125, 126 ], [ 128, 129 ], [ 131, 132 ], [ 135, 136 ], [ 138, 139 ],
      [ 141, 142 ], [ 145, 146 ], [ 148, 149 ], [ 151, 152 ], [ 154, 155 ],
      [ 157, 158 ], [ 160, 161 ], [ 163, 164 ], [ 166, 167 ], [ 169, 170 ],
      [ 172, 173 ], [ 175, 176 ], [ 178, 179 ], [ 181, 182 ], [ 183, 186 ],
      [ 185, 187 ], [ 184, 188 ], [ 190, 193 ], [ 192, 194 ], [ 191, 195 ],
      [ 197, 198 ], [ 200, 201 ], [ 202, 205 ], [ 204, 206 ], [ 203, 207 ],
      [ 208, 211 ], [ 210, 212 ], [ 209, 213 ], [ 216, 217 ], [ 220, 221 ],
      [ 223, 224 ], [ 226, 227 ], [ 229, 230 ], [ 233, 234 ], [ 236, 237 ],
      [ 238, 241 ], [ 240, 242 ], [ 239, 243 ], [ 245, 246 ], [ 248, 249 ],
      [ 251, 252 ], [ 253, 256 ], [ 255, 257 ], [ 254, 258 ], [ 260, 261 ],
      [ 264, 265 ] ],
    [ [ 1, 2 ], [ 4, 4 ], [ 7, 6 ], [ 10, 8 ], [ 13, 10 ], [ 16, 12 ],
      [ 19, 14 ], [ 22, 16 ], [ 25, 21 ], [ 28, 23 ], [ 32, 25 ], [ 35, 27 ],
      [ 38, 29 ], [ 41, 34 ], [ 44, 39 ], [ 47, 41 ], [ 50, 43 ], [ 54, 48 ],
      [ 58, 50 ], [ 61, 52 ], [ 64, 54 ], [ 67, 56 ], [ 71, 61 ], [ 74, 63 ],
      [ 77, 65 ], [ 80, 67 ], [ 83, 69 ], [ 86, 71 ], [ 89, 73 ], [ 92, 75 ],
      [ 95, 80 ], [ 98, 82 ], [ 102, 84 ], [ 105, 86 ], [ 108, 91 ],
      [ 111, 93 ], [ 121, 99 ], [ 124, 101 ], [ 127, 103 ], [ 130, 105 ],
      [ 134, 107 ], [ 137, 109 ], [ 140, 111 ], [ 144, 113 ], [ 147, 118 ],
      [ 150, 120 ], [ 153, 122 ], [ 156, 124 ], [ 159, 126 ], [ 162, 131 ],
      [ 165, 133 ], [ 168, 138 ], [ 171, 140 ], [ 174, 145 ], [ 177, 147 ],
      [ 180, 149 ], [ 196, 159 ], [ 199, 161 ], [ 215, 165 ], [ 219, 167 ],
      [ 222, 169 ], [ 225, 171 ], [ 228, 173 ], [ 232, 175 ], [ 235, 177 ],
      [ 244, 180 ], [ 247, 182 ], [ 250, 184 ], [ 259, 187 ], [ 263, 189 ] ],
(  1, 32,262, 17,192,109,339,152,384,242,236,223,195,118,350,168, 27,259, 13,
 137,367,210,163, 12,119,349,167, 24,227,202,135,365,199,126,358,180, 69,299,
  81,312,100,332,139,369,215,178, 63,293, 70,302, 85,315,107,337,149,379,232,
 206,151,381,238,231,207,154,386,245,246,247,249,252,  2, 31,263, 19,209,160,
   3, 55,286, 57,287, 61,291, 67,297, 78,310, 97,327,130,362,186, 89,319,113,
 343,158,390,256,  8, 73,303, 87,317,110,342,156,388,251)(  4, 54,284, 52,282,
 49,281, 48,278, 43,275, 39,271, 33,265, 22,213,172, 41,273, 36,266, 23,228,
 204,143,373,221,189, 98,330,134,366,200,129,359,182, 77,307, 93,323,124,356,
 177, 58,290, 65,295, 75,305, 90,322,117,348,165, 18,191,104,336,145,375,224,
 194,115,345,161,  6, 59,289, 64,296, 76,308, 94,326,128,360,183, 80,311, 99,
 329,133,364,197,123,353,173, 44,274, 37,269, 28,258, 11,120,352,171, 38,268,
  26,253)(  5, 60,292, 68,300, 82,314,103,333,141,371,218,187, 92,324,125,355,
 176, 53,285, 56,288, 62,294, 71,301, 84,316,108,340,153,383,241,237,226,201,
 132,363,196,121,351,170, 35,267, 25,254)(  7, 74,306, 91,321,116,347,164, 15,
 148,380,233,212,169, 30,260, 14,136,368,211,166, 21,214,175, 50,280, 46,276,
  40,270, 29,261, 16,147,377,229,203,140,372,219,188, 95,325,127,357,179, 66,
 298, 79,309, 96,328,131,361,185, 86,318,111,341,155,385,244,243,240,235,220,
 190,101,331,138,370,216,181, 72,304, 88,320,114,346,162,  9,106,338,150,382,
 239,234,217,184, 83,313,102,334,142,374,222,193,112,344,159,389,255)
( 10,105,335,144,376,225,198,122,354,174, 47,279, 45,277, 42,272, 34,264, 20,
 208,157,387,250,257)( 51,283)(146,378,230,205)]);
ALF("2^2.2E6(2).3.2","M",[1,2,3,2,2,3,3,4,13,4,13,5,16,7,7,7,9,7,9,9,8,8,
9,9,7,9,8,10,9,11,29,15,13,15,13,13,15,17,16,13,15,15,16,17,15,15,14,17,
19,47,19,47,22,22,22,21,25,22,22,24,21,25,25,25,22,21,25,27,59,27,59,30,
29,29,30,34,74,35,36,35,35,39,43,35,35,35,39,36,43,37,37,37,42,37,37,35,
39,36,42,43,43,42,40,40,45,89,47,48,48,47,50,99,50,99,56,54,54,56,55,57,
111,57,111,60,59,60,59,59,60,63,118,64,64,65,65,70,128,70,128,75,74,78,78,
78,78,79,78,78,94,95,94,94,99,100,100,99,110,162,112,167,4,6,5,6,15,13,13,
14,15,18,17,16,16,18,17,18,28,28,35,35,39,37,39,38,37,36,37,35,38,42,43,
39,43,41,44,41,38,44,44,50,50,51,62,61,62,58,72,70,72,72,78,78,79,81,82,
82,80,78,79,86,100,99,99,101,109,109,110,110,115,117,120,130,128,143,143,
151,151,155,154,163,163,176,191,191,2,8,8,3,8,7,7,8,8,9,8,9,9,8,10,9,13,
37,13,37,37,15,16,41,37,15,41,17,21,22,22,21,25,22,22,25,25,21,22,22,25,
25,24,24,22,25,29,65,65,30,37,35,35,37,37,35,41,36,35,37,37,39,37,39,37,
39,41,43,41,42,39,37,40,43,47,93,47,93,93,48,54,54,54,54,54,55,56,59,116,
59,116,116,60,64,65,65,64,80,78,78,78,78,79,78,78,78,78,86,80,86,85,85,81,
78,89,144,94,93,93,95,99,154,99,154,154,100,108,108,111,164,111,164,116,
114,124,124,128,174,128,174,141,141,148,148,154,155],[
"fusion map is unique"
]);
ALF("2^2.2E6(2).3.2","2E6(2).3.2",[1,1,2,2,3,3,4,5,5,6,6,7,7,8,8,9,10,11,
11,12,13,13,14,14,15,15,16,17,18,19,19,20,20,21,21,22,22,23,23,24,24,25,
26,26,27,27,28,28,29,29,30,30,31,32,32,33,34,35,35,36,37,37,38,38,39,40,
40,41,41,42,42,43,43,44,44,45,45,46,47,48,48,49,50,51,51,52,52,53,53,54,
54,55,56,57,57,58,58,59,59,59,60,60,61,62,63,63,64,64,65,65,66,66,67,67,
68,69,69,70,70,71,71,72,72,73,73,74,74,75,75,76,76,77,77,78,78,79,79,80,
80,81,81,82,82,83,83,84,85,85,86,86,87,87,88,88,89,89,90,90,91,91,92,93,
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,
168,169,170,171,172,173,174,175,176,176,177,177,178,178,179,179,180,180,
181,181,182,182,183,183,184,184,185,185,186,186,187,187,188,188,189,189,
190,191,191,192,192,193,193,194,195,195,196,197,198,199,200,201,201,202,
203,203,204,204,205,205,206,206,207,207,208,208,209,209,210,210,211,211,
212,212,213,213,214,214,215,215,216,216,217,217,218,218,219,219,220,221,
222,223,223,224,224,225,225,226,226,227,227,228,228,229,229,230,231,231,
232,232,233,234,235,236,236,237,238,238,239,240,241,241,242,242,243,243,
244,244,245,245,246,246,247,247,248,249,250,250,251,251,252,252,253,253,
254,254,255,255,256,257,258,258,259,259]);
ALN("2^2.2E6(2).3.2",["2^2.2E6(2).S3"]);

MOT("2E6(2)",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[76532479683774853939200,19287151938109440,24352464568320,57982058496,
27590492160,1567641600,10077696,42278584320,32614907904,1811939328,792723456,
792723456,792723456,100663296,23592960,12582912,12582912,12582912,4718592,
1572864,786432,524288,100800,39813120,995328,442368,373248,138240,110592,
41472,27648,13824,141120,1176,147456,147456,98304,32768,12288,12288,12288,
8192,8192,8192,8192,8192,8192,8192,1024,1024,324,162,960,480,66,66,165888,
62208,41472,18432,6912,6912,4608,4608,4608,4608,3456,3456,3456,2304,768,768,
576,576,576,576,576,384,384,384,192,192,13,448,56,900,90,256,256,256,128,128,
128,128,128,128,17,17,108,108,54,36,19,19,80,40,63,21,22,22,288,288,192,96,96,
96,112,112,112,28,60,30,33,33,35,35],
[,[1,1,1,1,5,6,7,2,2,2,3,3,3,2,3,3,3,3,4,3,4,4,23,5,6,5,7,6,5,7,6,7,33,34,8,9,
10,10,11,12,13,14,16,17,18,16,17,18,19,22,51,52,23,23,56,55,24,27,25,24,27,27,
25,26,26,26,30,30,30,26,26,27,28,31,32,32,32,30,30,30,32,32,83,33,34,86,87,38,
38,38,43,44,45,46,47,48,97,98,51,51,52,51,104,103,53,54,107,108,56,55,63,59,
60,64,65,66,84,84,84,85,86,87,124,123,126,125],[1,2,3,4,1,1,1,8,9,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,2,2,3,2,3,4,3,4,4,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,7,7,53,54,55,56,9,9,9,10,10,10,8,11,12,13,11,12,13,15,
20,14,15,19,19,19,19,16,17,18,21,21,83,84,85,23,23,88,89,90,91,92,93,94,95,96,
98,97,27,27,27,30,104,103,105,106,33,34,109,110,35,36,37,39,40,41,117,118,119,
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ARC("2E6(2)","isSimple",true);
ARC("2E6(2)","extInfo",["(2^2x3)","3.2"]);
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ALN("2E6(2)",["e6f2","2E6(2).2M1"]);

MOT("2E6(2).2",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
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ALF("2E6(2).2","2E6(2).3.2",[1,2,3,4,5,6,7,8,9,10,11,11,12,13,14,14,15,16,
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ALN("2E6(2).2",["e6f2.2"]);

MOT("2E6(2).3",
[
"origin: constructed by Simon Norton, Jan. 1996, tests: 1.o.r., pow"
],
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0],[85668781275,23295195,-654885,-70821,0,0,0,-40005,-9477,
-1701,1323,1467,675,651,27,243,-285,75,0,0,0,0,0,0,0,0,0,0,0,0,-9,-9,-45,-21,
-21,-9,-1,-9,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,3,
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11907,11907,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-189,-189,0,0,0,0,0,0,-45,-45,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-21,-21,0,0,0,0,0,0,0,0,27,27,0,0,0,0,0,0,0,0,0,0,3,3,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,3,3,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[TENSOR,[263,2]],
[TENSOR,[263,3]],[86909222400,12418560,2096640,-16896,-46200,-8400,-2190,
-53760,-29184,7680,3584,-4608,0,-512,0,0,0,0,0,1800,-144,72,126,0,168,90,-48,
6,0,0,0,0,0,0,0,0,0,0,0,0,-12,6,0,0,0,0,-24,-24,-24,-24,12,12,24,8,2,0,0,0,0,
0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0]],
[( 97, 98)(263,265)(264,266),( 79, 80)(249,251)(250,252),( 73, 74)(245,247)
(246,248),( 63, 64)(173,175)(174,176),( 51, 52)( 75, 76)( 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)(173,176)(174,175)(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),( 45, 46)( 85, 86)( 95, 96)(227,229)(228,230)(231,233)
(232,234)(257,259)(258,260)]);
ALF("2E6(2).3","2E6(2).3.2",[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,
43,44,45,45,46,47,48,49,50,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,73,74,75,76,76,77,78,79,80,81,81,82,83,84,85,
86,87,88,89,90,90,91,91,92,92,93,93,94,94,95,95,96,96,97,97,98,98,99,99,
100,100,101,101,102,102,103,103,104,104,105,105,106,106,107,107,108,108,
109,109,110,110,111,111,112,112,113,113,114,114,115,115,116,116,117,117,
118,118,119,119,120,120,121,121,122,122,123,123,124,124,125,125,126,126,
127,127,128,128,129,130,130,129,131,131,132,132,133,133,134,134,135,135,
136,136,137,137,138,138,139,139,140,140,141,141,142,142,143,143,144,144,
145,145,146,146,147,147,148,148,149,149,150,150,151,151,152,152,153,153,
154,154,155,155,156,157,157,156,158,159,159,158,160,160,161,161,162,162,
163,163,164,164,165,165,166,166,167,168,168,167,169,169,170,170,171,172,
172,171,173,173,174,175,175,174]);

MOT("2E6(2).3.2",
[
"origin: constructed from tables of 2E6(2).3 and 2E6(2).2,\n",
"tests: 1.o.r., pow[2,3,5,7,11,13,17,19],\n",
"constructions: Aut(2E6(2))"
],
[459194878102649123635200,115722911628656640,146114787409920,347892350976,
165542952960,9405849600,60466176,253671505920,195689447424,10871635968,
1585446912,603979776,141557760,25165824,28311552,9437184,4718592,3145728,
604800,238878720,5971968,2654208,2239488,829440,663552,248832,165888,82944,
846720,7056,884736,884736,589824,196608,24576,49152,16384,16384,6144,6144,
1944,972,5760,2880,198,995328,373248,248832,110592,20736,27648,9216,6912,
13824,4608,4608,3456,3456,1152,768,1152,1152,78,2688,336,5400,540,512,256,256,
102,102,324,324,216,57,480,240,378,126,66,1728,1728,1152,192,224,168,360,180,
99,105,75046138675200,1902071808,246343680,49641984,3822059520,1114767360,
106168320,82114560,3538944,2322432,1492992,497664,82944,27648,27648,13824,
11664,1458,2654208,1474560,442368,276480,73728,32256,27648,20736,18432,18432,
13824,6912,6912,6144,2304,1728,576,576,576,576,576,302400,2700,270,3888,1296,
486,432,3528,1260,441,63,2304,2304,2304,384,288,288,288,192,192,96,2880,1440,
180,90,198,198,99,99,216,72,39,168,84,51,51,57,57,240,120,66,66,84,105,105,
6622253206732800,95126814720,3397386240,2642411520,396361728,18874368,6291456,
393216,8709120,8709120,138240,93312,27648,10368,6193152,245760,196608,147456,
98304,65536,49152,49152,32768,32768,24576,6144,2048,7200,480,27648,23040,
13824,10368,9216,2304,2304,2304,1728,1152,768,192,2352,2352,112,3072,3072,512,
256,256,108,108,36,480,160,1728,576,576,576,384,384,192,192,96,96,96,48,26,
112,56,180,180,60,64,64,34,34,36,40,42,42,96,96,56,60],
[,[1,1,1,1,5,6,7,2,2,2,3,2,3,3,4,3,4,4,19,5,6,5,7,6,5,7,6,7,29,30,8,9,10,10,
11,12,14,14,15,18,41,42,19,19,45,20,23,21,20,23,21,22,26,22,22,23,24,27,28,26,
28,28,63,29,30,66,67,34,37,38,71,72,41,42,41,76,43,44,79,80,45,51,48,49,52,64,
65,66,67,90,91,92,93,94,95,92,92,92,94,92,93,94,94,94,93,94,95,108,109,96,96,
96,97,96,101,98,102,97,100,101,102,102,100,102,104,105,104,107,107,107,131,
132,133,108,108,109,108,138,139,140,141,110,111,112,114,115,120,122,119,123,
122,131,131,132,133,156,157,158,159,135,135,162,138,139,165,166,167,168,152,
153,156,157,163,174,175,1,1,3,3,2,3,3,4,5,6,5,7,6,7,11,8,14,9,11,14,11,11,14,
14,14,15,18,19,19,22,24,24,26,22,21,22,24,23,26,24,28,29,30,30,33,33,33,37,38,
41,42,42,44,44,53,46,48,52,52,52,51,53,60,60,60,58,63,64,65,66,67,67,68,68,71,
72,75,77,79,80,84,84,86,88],[1,2,3,4,1,1,1,8,9,10,11,12,13,14,15,16,17,18,19,
2,2,3,2,3,4,3,4,4,29,30,31,32,33,34,35,36,37,38,39,40,7,7,43,44,45,9,9,9,10,
10,8,11,11,13,16,12,13,15,15,14,17,17,63,64,65,19,19,68,69,70,72,71,23,23,26,
76,77,78,29,30,81,31,32,33,35,86,87,44,43,45,91,1,1,1,1,2,3,3,2,4,2,2,3,3,4,4,
4,7,7,9,8,10,13,12,8,13,9,16,15,9,10,10,18,12,13,17,16,15,17,17,19,19,19,23,
23,23,26,30,29,29,30,32,31,33,36,31,32,33,39,40,34,43,44,44,43,45,45,45,45,47,
50,63,65,64,72,71,76,76,77,78,81,81,87,91,91,176,177,178,179,180,181,182,183,
176,176,177,176,177,177,190,191,192,193,194,195,196,197,198,199,200,201,202,
203,204,178,179,178,178,179,180,181,181,180,181,182,183,217,218,219,220,221,
222,223,224,187,187,189,228,229,190,193,193,190,196,197,191,194,192,200,200,
201,242,243,244,203,203,204,248,249,251,250,208,253,217,218,220,221,258,
228],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,1,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,2,3,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,59,60,62,61,63,64,65,6,5,68,69,70,72,71,73,74,75,76,8,13,79,80,
81,82,83,84,85,86,87,24,20,90,29,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,
124,125,126,127,128,130,129,92,92,94,134,135,136,137,138,139,140,141,142,143,
144,145,146,147,148,149,150,151,96,97,98,99,157,156,159,158,160,161,162,163,
164,166,165,168,167,111,113,172,171,173,139,139,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,176,177,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,221,
220,222,223,224,225,226,227,179,178,230,231,232,233,234,235,236,237,238,240,
239,241,242,243,244,185,184,186,249,248,251,250,252,191,254,255,257,256,258,
206],,[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,
27,28,1,1,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,3,2,66,67,68,69,70,72,71,73,74,75,76,77,78,6,
5,81,82,83,84,85,11,8,88,89,90,19,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,93,92,93,95,142,143,
144,145,146,147,148,149,150,151,152,153,154,155,157,156,159,158,160,161,162,
101,97,166,165,167,168,169,170,172,171,115,131,131,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,176,176,177,
221,220,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,242,179,180,245,246,247,249,248,251,250,252,253,185,184,257,256,
190,259],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,1,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,62,61,63,64,65,66,67,68,69,70,72,71,73,74,75,76,
77,78,79,80,2,82,83,84,85,86,87,88,89,5,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,130,129,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,94,94,92,92,
160,161,162,163,164,166,165,168,167,169,170,99,99,173,175,174,176,177,178,179,
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,
237,238,240,239,241,242,243,244,245,246,247,248,249,251,250,252,253,254,255,
256,257,258,259],,[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,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,1,64,65,66,67,68,69,70,71,72,73,74,
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,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,157,
156,159,158,160,161,93,163,164,165,166,168,167,169,170,172,171,173,174,175,
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,
214,215,216,217,218,219,221,220,222,223,224,225,226,227,228,229,230,231,232,
233,234,235,236,237,238,239,240,241,176,243,244,245,246,247,249,248,250,251,
252,253,254,255,257,256,258,259],,,,[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,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,61,63,64,65,66,67,68,
69,70,1,1,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,130,129,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,92,92,168,167,169,170,171,172,
173,175,174,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,
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,
230,231,232,233,234,235,236,237,238,240,239,241,242,243,244,245,246,247,248,
249,176,176,252,253,254,255,256,257,258,259],,[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,
66,67,68,69,70,71,72,73,74,75,1,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
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,
151,152,153,154,155,157,156,159,158,160,161,162,163,164,165,166,95,95,169,170,
172,171,173,175,174,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
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]],
0,
[(220,221)(248,249)(256,257),(174,175),(167,168),(156,157)(158,159)(171,172),
( 71, 72)(165,166)(250,251),( 61, 62)(129,130)(156,157)(158,159)(167,168)
(171,172)(174,175)(239,240)],
["ConstructGS3","2E6(2).2","2E6(2).3",
  [ 17, 18, 30, 31, 35, 36, 44, 45, 57, 58, 76, 77, 87, 88, 95, 96, 114, 115,
  127, 128, 134, 135, 141, 142, 151, 152, 154, 155 ],
  [ [ 2, 3 ], [ 5, 6 ], [ 8, 9 ], [ 11, 12 ], [ 14, 15 ], [ 17, 18 ],
  [ 20, 21 ], [ 23, 24 ], [ 26, 27 ], [ 29, 30 ], [ 33, 34 ], [ 36, 37 ],
  [ 39, 40 ], [ 42, 43 ], [ 45, 46 ], [ 48, 49 ], [ 51, 52 ], [ 55, 56 ],
  [ 59, 60 ], [ 62, 63 ], [ 65, 66 ], [ 68, 69 ], [ 72, 73 ], [ 75, 76 ],
  [ 78, 79 ], [ 81, 82 ], [ 84, 85 ], [ 87, 88 ], [ 90, 91 ], [ 93, 94 ],
  [ 96, 97 ], [ 99, 100 ], [ 103, 104 ], [ 106, 107 ], [ 109, 110 ],
  [ 112, 113 ], [ 115, 118 ], [ 117, 119 ], [ 116, 120 ], [ 122, 123 ],
  [ 125, 126 ], [ 128, 129 ], [ 131, 132 ], [ 135, 136 ], [ 138, 139 ],
  [ 141, 142 ], [ 145, 146 ], [ 148, 149 ], [ 151, 152 ], [ 154, 155 ],
  [ 157, 158 ], [ 160, 161 ], [ 163, 164 ], [ 166, 167 ], [ 169, 170 ],
  [ 172, 173 ], [ 175, 176 ], [ 178, 179 ], [ 181, 182 ], [ 183, 186 ],
  [ 185, 187 ], [ 184, 188 ], [ 190, 193 ], [ 192, 194 ], [ 191, 195 ],
  [ 197, 198 ], [ 200, 201 ], [ 202, 205 ], [ 204, 206 ], [ 203, 207 ],
  [ 208, 211 ], [ 210, 212 ], [ 209, 213 ], [ 216, 217 ], [ 220, 221 ],
  [ 223, 224 ], [ 226, 227 ], [ 229, 230 ], [ 233, 234 ], [ 236, 237 ],
  [ 238, 241 ], [ 240, 242 ], [ 239, 243 ], [ 245, 246 ], [ 248, 249 ],
  [ 251, 252 ], [ 253, 256 ], [ 255, 257 ], [ 254, 258 ], [ 260, 261 ],
  [ 264, 265 ] ],
  [ [ 1, 2 ], [ 4, 4 ], [ 7, 6 ], [ 10, 8 ], [ 13, 10 ], [ 16, 12 ],
  [ 19, 14 ], [ 22, 16 ], [ 25, 21 ], [ 28, 23 ], [ 32, 25 ], [ 35, 27 ],
  [ 38, 29 ], [ 41, 34 ], [ 44, 39 ], [ 47, 41 ], [ 50, 43 ], [ 54, 48 ],
  [ 58, 50 ], [ 61, 52 ], [ 64, 54 ], [ 67, 56 ], [ 71, 61 ], [ 74, 63 ],
  [ 77, 65 ], [ 80, 67 ], [ 83, 69 ], [ 86, 71 ], [ 89, 73 ], [ 92, 75 ],
  [ 95, 80 ], [ 98, 82 ], [ 102, 84 ], [ 105, 86 ], [ 108, 91 ],
  [ 111, 93 ], [ 121, 99 ], [ 124, 101 ], [ 127, 103 ], [ 130, 105 ],
  [ 134, 107 ], [ 137, 109 ], [ 140, 111 ], [ 144, 113 ], [ 147, 118 ],
  [ 150, 120 ], [ 153, 122 ], [ 156, 124 ], [ 159, 126 ], [ 162, 131 ],
  [ 165, 133 ], [ 168, 138 ], [ 171, 140 ], [ 174, 145 ], [ 177, 147 ],
  [ 180, 149 ], [ 196, 159 ], [ 199, 161 ], [ 215, 165 ], [ 219, 167 ],
  [ 222, 169 ], [ 225, 171 ], [ 228, 173 ], [ 232, 175 ], [ 235, 177 ],
  [ 244, 180 ], [ 247, 182 ], [ 250, 184 ], [ 259, 187 ], [ 263, 189 ] ],
(  1, 32, 12,119,257,251,239,216,164, 75,151, 49, 69,129, 14,136, 25,254,244,
 224,176, 93,194,127, 11,120)(  2, 31,  9,106,226,179, 97,204,144, 39, 35, 21,
 214,161, 68,126, 10,105,223,174, 90,189,114,246,229,183,103,217,165, 76,154,
  56, 92,195,128, 13,137, 26,253,242,221,171, 85,181,100,207,150, 48, 66,123,
   5, 60,104,220,170, 84,178, 96,202,141, 34, 18,191,117,248,232,196,130, 16,
 147, 43, 47, 63,115,247,230,185,108,234,199,134, 22,213,159, 65,121)
(  3, 55, 89,190,116,249,233,197,131, 17,192,124,  7, 74,146, 42, 44, 50, 72,
 140, 33, 15,148, 45, 53, 83,175, 91,193,125,  8, 73,143, 37, 27,259,256,250,
 238,215,162, 70,132, 19,209,153, 52, 80,166, 78,160, 67,122,  4, 54, 86,184,
 107,231,186,110,237,211,156, 61,109,235,200,138, 28,258,255,245,225,177, 94,
 198,133, 20,208,152, 51, 77,157, 62,112,240,218,167, 79,163, 71,135, 23,228,
 182,102,212,158, 64,118,252,241,219,168, 81,169, 82,172, 87,187,111,236,210,
 155, 57, 95,201,139, 29)(  6, 59,101,206,149, 46, 58, 98,203,142, 36, 24,227,
 180, 99,205,145, 40, 38, 30)( 88,188,113,243,222,173)]);
ALN("2E6(2).3.2",["2E6(2).S3"]);

MOT("3.2E6(2)",
[
"computed by Frank L\"ubeck in August 2005 using a combination of\n",
"Deligne-Lusztig theory, the known table of 2E6(2), character theoretic\n",
"methods, and some combinatorics"
],
[229597439051324561817600,229597439051324561817600,229597439051324561817600,
57861455814328320,57861455814328320,57861455814328320,73057393704960,
73057393704960,73057393704960,173946175488,173946175488,173946175488,
82771476480,82771476480,82771476480,1567641600,10077696,126835752960,
126835752960,126835752960,97844723712,97844723712,97844723712,5435817984,
5435817984,5435817984,2378170368,2378170368,2378170368,2378170368,2378170368,
2378170368,2378170368,2378170368,2378170368,301989888,301989888,301989888,
70778880,70778880,70778880,37748736,37748736,37748736,37748736,37748736,
37748736,37748736,37748736,37748736,14155776,14155776,14155776,4718592,4718592
,4718592,2359296,2359296,2359296,1572864,1572864,1572864,302400,302400,302400,
119439360,119439360,119439360,995328,1327104,1327104,1327104,1119744,1119744,
1119744,414720,414720,414720,331776,331776,331776,124416,124416,124416,27648,
13824,423360,423360,423360,3528,3528,3528,442368,442368,442368,442368,442368,
442368,294912,294912,294912,98304,98304,98304,36864,36864,36864,36864,36864,
36864,36864,36864,36864,24576,24576,24576,24576,24576,24576,24576,24576,24576,
24576,24576,24576,24576,24576,24576,24576,24576,24576,24576,24576,24576,3072,
3072,3072,3072,3072,3072,972,972,972,162,2880,2880,2880,1440,1440,1440,198,198
,198,198,198,198,497664,497664,497664,186624,186624,186624,41472,55296,55296,
55296,20736,20736,20736,20736,20736,20736,4608,13824,13824,13824,13824,13824,
13824,13824,13824,13824,10368,10368,10368,10368,10368,10368,10368,10368,10368,
6912,6912,6912,2304,2304,2304,2304,2304,2304,1728,1728,1728,576,576,576,576,
1152,1152,1152,1152,1152,1152,1152,1152,1152,576,576,576,576,576,576,39,39,39,
1344,1344,1344,168,168,168,2700,2700,2700,270,270,270,768,768,768,768,768,768,
768,768,768,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,51,51,51,51,51,51,324,324,324,324,324,324,54,108,108,108,57,57,57,57,
57,57,240,240,240,120,120,120,63,63,63,63,66,66,66,66,66,66,288,288,576,576,
576,288,288,288,288,288,288,288,288,288,336,336,336,336,336,336,336,336,336,84
,84,84,180,180,180,90,90,90,99,99,99,99,99,99,105,105,105,105,105,105],
[,[1,3,2,1,3,2,1,3,2,1,3,2,13,15,14,16,17,4,6,5,4,6,5,4,6,5,7,9,8,7,9,8,7,9,8,
4,6,5,7,9,8,7,9,8,7,9,8,7,9,8,10,12,11,7,9,8,10,12,11,10,12,11,63,65,64,13,15,
14,16,13,15,14,17,17,17,16,16,16,13,15,14,17,17,17,16,17,87,89,88,90,92,91,18,
20,19,21,23,22,24,26,25,24,26,25,27,29,28,30,32,31,33,35,34,36,38,37,42,44,43,
45,47,46,48,50,49,42,44,43,45,47,46,48,50,49,51,53,52,60,62,61,141,143,142,144
,63,65,64,63,65,64,154,156,155,151,153,152,66,68,67,73,75,74,69,66,68,67,74,73
,75,75,74,73,69,70,72,71,70,72,71,70,72,71,82,84,83,82,84,83,82,84,83,70,72,71
,70,72,71,73,75,74,76,78,77,85,86,86,86,82,84,83,82,84,83,82,84,83,86,86,86,86
,86,86,223,225,224,87,89,88,90,92,91,232,234,233,235,237,236,102,104,103,102,
104,103,102,104,103,117,119,118,120,122,121,123,125,124,126,128,127,129,131,
130,132,134,133,265,267,266,268,270,269,141,143,142,141,143,142,144,141,143,
142,284,286,285,281,283,282,145,147,146,148,150,149,293,294,296,295,154,156,
155,151,153,152,173,163,164,166,165,174,176,175,177,179,178,180,182,181,226,
228,227,226,228,227,226,228,227,229,231,230,232,234,233,235,237,236,338,340,
339,335,337,336,344,346,345,341,343,342],[1,1,1,4,4,4,7,7,7,10,10,10,1,1,1,1,1
,18,18,18,21,21,21,24,24,24,27,27,27,30,30,30,33,33,33,36,36,36,39,39,39,42,42
,42,45,45,45,48,48,48,51,51,51,54,54,54,57,57,57,60,60,60,63,63,63,4,4,4,4,7,7
,7,4,4,4,7,7,7,10,10,10,7,7,7,10,10,87,87,87,90,90,90,93,93,93,96,96,96,99,99,
99,102,102,102,105,105,105,108,108,108,111,111,111,114,114,114,117,117,117,120
,120,120,123,123,123,126,126,126,129,129,129,132,132,132,135,135,135,138,138,
138,17,17,17,17,145,145,145,148,148,148,151,151,151,154,154,154,21,21,21,21,21
,21,21,24,24,24,24,24,24,24,24,24,18,27,27,27,30,30,30,33,33,33,27,27,27,30,30
,30,33,33,33,39,39,39,54,54,54,36,36,36,39,39,39,51,51,51,51,42,42,42,45,45,45
,48,48,48,57,57,57,57,57,57,223,223,223,226,226,226,229,229,229,63,63,63,63,63
,63,238,238,238,241,241,241,244,244,244,247,247,247,250,250,250,253,253,253,
256,256,256,259,259,259,262,262,262,268,268,268,265,265,265,75,75,75,74,74,74,
73,82,82,82,284,284,284,281,281,281,287,287,287,290,290,290,87,90,90,90,297,
297,297,300,300,300,93,96,99,99,99,105,105,105,108,108,108,111,111,111,317,317
,317,320,320,320,323,323,323,326,326,326,148,148,148,145,145,145,151,151,151,
154,154,154,341,341,341,344,344,344],,[1,3,2,4,6,5,7,9,8,10,12,11,13,15,14,16,
17,18,20,19,21,23,22,24,26,25,27,29,28,30,32,31,33,35,34,36,38,37,39,41,40,42,
44,43,45,47,46,48,50,49,51,53,52,54,56,55,57,59,58,60,62,61,1,3,2,66,68,67,69,
70,72,71,73,75,74,76,78,77,79,81,80,82,84,83,85,86,87,89,88,90,92,91,93,95,94,
96,98,97,99,101,100,102,104,103,105,107,106,108,110,109,111,113,112,114,116,
115,117,119,118,120,122,121,123,125,124,126,128,127,129,131,130,132,134,133,
135,137,136,138,140,139,141,143,142,144,4,6,5,7,9,8,151,153,152,154,156,155,
157,159,158,160,162,161,163,164,166,165,170,172,171,167,169,168,173,174,176,
175,177,179,178,180,182,181,183,185,184,186,188,187,189,191,190,192,194,193,
195,197,196,198,200,199,201,203,202,204,205,206,207,208,210,209,211,213,212,
214,216,215,220,222,221,217,219,218,223,225,224,226,228,227,229,231,230,16,16,
16,13,15,14,238,240,239,241,243,242,244,246,245,247,249,248,250,252,251,253,
255,254,256,258,257,259,261,260,262,264,263,268,270,269,265,267,266,274,276,
275,271,273,272,277,278,280,279,281,283,282,284,286,285,18,20,19,39,41,40,293,
294,296,295,297,299,298,300,302,301,303,304,305,307,306,308,310,309,311,313,
312,314,316,315,317,319,318,320,322,321,323,325,324,326,328,327,76,78,77,66,68
,67,335,337,336,338,340,339,87,89,88,87,89,88],,[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
,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,1,2,3,1,2,3,93
,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,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,154,155,
156,151,152,153,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,
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,
210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,7,8,9,4,5,6,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,
251,252,253,254,255,256,257,258,259,260,261,262,263,264,268,269,270,265,266,
267,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,16,13,14,15,300,301,302,297,298,299,303,304,305,306,307,308,
309,310,311,312,313,314,315,316,27,28,29,30,31,32,33,34,35,18,19,20,329,330,
331,332,333,334,338,339,340,335,336,337,63,64,65,63,64,65],,,,[1,3,2,4,6,5,7,9
,8,10,12,11,13,15,14,16,17,18,20,19,21,23,22,24,26,25,27,29,28,30,32,31,33,35,
34,36,38,37,39,41,40,42,44,43,45,47,46,48,50,49,51,53,52,54,56,55,57,59,58,60,
62,61,63,65,64,66,68,67,69,70,72,71,73,75,74,76,78,77,79,81,80,82,84,83,85,86,
87,89,88,90,92,91,93,95,94,96,98,97,99,101,100,102,104,103,105,107,106,108,110
,109,111,113,112,114,116,115,117,119,118,120,122,121,123,125,124,126,128,127,
129,131,130,132,134,133,135,137,136,138,140,139,141,143,142,144,145,147,146,
148,150,149,1,3,2,1,3,2,157,159,158,160,162,161,163,164,166,165,170,172,171,
167,169,168,173,174,176,175,177,179,178,180,182,181,183,185,184,186,188,187,
189,191,190,192,194,193,195,197,196,198,200,199,201,203,202,204,205,206,207,
208,210,209,211,213,212,214,216,215,220,222,221,217,219,218,223,225,224,226,
228,227,229,231,230,232,234,233,235,237,236,238,240,239,241,243,242,244,246,
245,247,249,248,250,252,251,253,255,254,256,258,257,259,261,260,262,264,263,
268,270,269,265,267,266,274,276,275,271,273,272,277,278,280,279,281,283,282,
284,286,285,287,289,288,290,292,291,293,294,296,295,4,6,5,4,6,5,303,304,305,
307,306,308,310,309,311,313,312,314,316,315,317,319,318,320,322,321,323,325,
324,326,328,327,329,331,330,332,334,333,13,15,14,13,15,14,341,343,342,344,346,
345],,[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,
142,143,144,145,146,147,148,149,150,154,155,156,151,152,153,157,158,159,160,
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,
218,219,220,221,222,1,2,3,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,
258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,
277,278,279,280,284,285,286,281,282,283,287,288,289,290,291,292,293,294,295,
296,300,301,302,297,298,299,303,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,
334,338,339,340,335,336,337,341,342,343,344,345,346],,,,[1,3,2,4,6,5,7,9,8,10,
12,11,13,15,14,16,17,18,20,19,21,23,22,24,26,25,27,29,28,30,32,31,33,35,34,36,
38,37,39,41,40,42,44,43,45,47,46,48,50,49,51,53,52,54,56,55,57,59,58,60,62,61,
63,65,64,66,68,67,69,70,72,71,73,75,74,76,78,77,79,81,80,82,84,83,85,86,87,89,
88,90,92,91,93,95,94,96,98,97,99,101,100,102,104,103,105,107,106,108,110,109,
111,113,112,114,116,115,117,119,118,120,122,121,123,125,124,126,128,127,129,
131,130,132,134,133,135,137,136,138,140,139,141,143,142,144,145,147,146,148,
150,149,154,156,155,151,153,152,157,159,158,160,162,161,163,164,166,165,170,
172,171,167,169,168,173,174,176,175,177,179,178,180,182,181,183,185,184,186,
188,187,189,191,190,192,194,193,195,197,196,198,200,199,201,203,202,204,205,
206,207,208,210,209,211,213,212,214,216,215,220,222,221,217,219,218,223,225,
224,226,228,227,229,231,230,232,234,233,235,237,236,238,240,239,241,243,242,
244,246,245,247,249,248,250,252,251,253,255,254,256,258,257,259,261,260,262,
264,263,1,3,2,1,3,2,274,276,275,271,273,272,277,278,280,279,281,283,282,284,
286,285,287,289,288,290,292,291,293,294,296,295,300,302,301,297,299,298,303,
304,305,307,306,308,310,309,311,313,312,314,316,315,317,319,318,320,322,321,
323,325,324,326,328,327,329,331,330,332,334,333,338,340,339,335,337,336,341,
343,342,344,346,345],,[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,
138,139,140,141,142,143,144,145,146,147,148,149,150,154,155,156,151,152,153,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,
233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,
252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,1,2,3,1,2,3,287,288,289,290,291,292,
293,294,295,296,300,301,302,297,298,299,303,304,305,306,307,308,309,310,311,
312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,
331,332,333,334,338,339,340,335,336,337,344,345,346,341,342,343]],
0,
[(341,344)(342,345)(343,346),(281,284)(282,285)(283,286),
(265,268)(266,269)(267,270),
(151,154)(152,155)(153,156)(297,300)(298,301)(299,302)(335,338)(336,339)
(337,340)
,
( 30, 33)( 31, 34)( 32, 35)( 45, 48)( 46, 49)( 47, 50)(108,111)(109,112)
(110,113)(120,123)(121,124)(122,125)(129,132)(130,133)(131,134)(177,180)
(178,181)(179,182)(186,189)(187,190)(188,191)(206,207)(211,214)(212,215)
(213,216)(217,221)(218,222)(219,220)(241,244)(242,245)(243,246)(250,253)
(251,254)(252,255)(259,262)(260,263)(261,264)(311,314)(312,315)(313,316)
(320,323)(321,324)(322,325)
,
( 27, 30)( 28, 31)( 29, 32)( 42, 45)( 43, 46)( 44, 47)(105,108)(106,109)
(107,110)(117,120)(118,121)(119,122)(126,129)(127,130)(128,131)(174,177)
(175,178)(176,179)(183,186)(184,187)(185,188)(205,206)(208,211)(209,212)
(210,213)(217,220)(218,221)(219,222)(238,241)(239,242)(240,243)(247,250)
(248,251)(249,252)(256,259)(257,260)(258,261)(308,311)(309,312)(310,313)
(317,320)(318,321)(319,322)
,
(  2,  3)(  5,  6)(  8,  9)( 11, 12)( 14, 15)( 19, 20)( 22, 23)( 25, 26)
( 28, 29)( 31, 32)( 34, 35)( 37, 38)( 40, 41)( 43, 44)( 46, 47)( 49, 50)
( 52, 53)( 55, 56)( 58, 59)( 61, 62)( 64, 65)( 67, 68)( 71, 72)( 74, 75)
( 77, 78)( 80, 81)( 83, 84)( 88, 89)( 91, 92)( 94, 95)( 97, 98)(100,101)
(103,104)(106,107)(109,110)(112,113)(115,116)(118,119)(121,122)(124,125)
(127,128)(130,131)(133,134)(136,137)(139,140)(142,143)(146,147)(149,150)
(152,153)(155,156)(158,159)(161,162)(165,166)(167,170)(168,172)(169,171)
(175,176)(178,179)(181,182)(184,185)(187,188)(190,191)(193,194)(196,197)
(199,200)(202,203)(209,210)(212,213)(215,216)(217,220)(218,222)(219,221)
(224,225)(227,228)(230,231)(233,234)(236,237)(239,240)(242,243)(245,246)
(248,249)(251,252)(254,255)(257,258)(260,261)(263,264)(266,267)(269,270)
(271,274)(272,276)(273,275)(279,280)(282,283)(285,286)(288,289)(291,292)
(295,296)(298,299)(301,302)(306,307)(309,310)(312,313)(315,316)(318,319)
(321,322)(324,325)(327,328)(330,331)(333,334)(336,337)(339,340)(342,343)
(345,346)
],
["ConstructProj",[["2E6(2)",[]],,["3.2E6(2)",[2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,71,71,23,23,23,
23,2,2,2,2,2,2,2,2,2,20,20,2,35,35,23,23,2,2]]]]);
ALF("3.2E6(2)","2E6(2)",[1,1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,7,8,8,8,9,9,9,10,
10,10,11,11,11,12,12,12,13,13,13,14,14,14,15,15,15,16,16,16,17,17,17,18,
18,18,19,19,19,20,20,20,21,21,21,22,22,22,23,23,23,24,24,24,25,26,26,26,
27,27,27,28,28,28,29,29,29,30,30,30,31,32,33,33,33,34,34,34,35,35,35,36,
36,36,37,37,37,38,38,38,39,39,39,40,40,40,41,41,41,42,42,42,43,43,43,44,
44,44,45,45,45,46,46,46,47,47,47,48,48,48,49,49,49,50,50,50,51,51,51,52,
53,53,53,54,54,54,55,55,55,56,56,56,57,57,57,58,58,58,59,60,60,60,61,61,
61,62,62,62,63,64,64,64,65,65,65,66,66,66,67,67,67,68,68,68,69,69,69,70,
70,70,71,71,71,72,72,72,73,73,73,74,75,76,77,78,78,78,79,79,79,80,80,80,
81,81,81,82,82,82,83,83,83,84,84,84,85,85,85,86,86,86,87,87,87,88,88,88,
89,89,89,90,90,90,91,91,91,92,92,92,93,93,93,94,94,94,95,95,95,96,96,96,
97,97,97,98,98,98,99,99,99,100,100,100,101,102,102,102,103,103,103,104,
104,104,105,105,105,106,106,106,107,108,108,108,109,109,109,110,110,110,
111,112,113,113,113,114,114,114,115,115,115,116,116,116,117,117,117,118,
118,118,119,119,119,120,120,120,121,121,121,122,122,122,123,123,123,124,
124,124,125,125,125,126,126,126]);
ALF("3.2E6(2)","3.2E6(2).2",[1,2,2,3,4,4,5,6,6,7,8,8,9,10,10,11,12,13,14,
14,15,16,16,17,18,18,19,20,20,21,22,23,21,23,22,24,25,25,26,27,27,28,29,
29,30,31,32,30,32,31,33,34,34,35,36,36,37,38,38,39,40,40,41,42,42,43,44,
44,45,46,47,47,48,49,49,50,51,51,52,53,53,54,55,55,56,57,58,59,59,60,61,
61,62,63,63,64,65,65,66,67,67,68,69,69,70,71,71,72,73,74,72,74,73,75,76,
76,77,78,78,79,80,81,79,81,80,82,83,83,84,85,86,84,86,85,87,88,88,89,90,
90,91,92,92,93,94,95,95,96,97,97,98,99,100,98,100,99,101,102,102,103,104,
104,105,106,107,107,108,109,110,108,110,109,111,112,113,113,114,115,116,
114,116,115,117,118,118,119,120,121,119,121,120,122,123,123,124,125,125,
126,127,127,128,129,129,130,131,132,132,133,134,134,135,136,137,135,137,
136,138,139,138,140,140,141,142,143,143,144,145,145,146,147,147,148,149,
149,150,151,151,152,153,153,154,155,156,154,156,155,157,158,158,159,160,
161,159,161,160,162,163,163,164,165,166,164,166,165,167,168,168,169,170,
170,171,172,173,171,173,172,174,175,176,176,177,178,179,177,179,178,180,
181,181,182,183,183,184,185,186,186,187,188,189,187,189,188,190,191,192,
193,193,194,195,195,196,197,198,196,198,197,199,200,200,201,202,203,201,
203,202,204,205,205,206,207,207,208,209,209,210,211,212,210,212,211,213,
214,215,213,215,214],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);

MOT("3.2E6(2).2",
[
"constructed using `PossibleCharacterTablesOfTypeMGA'"
],
[459194878102649123635200,229597439051324561817600,115722911628656640,
57861455814328320,146114787409920,73057393704960,347892350976,173946175488,
165542952960,82771476480,3135283200,20155392,253671505920,126835752960,
195689447424,97844723712,10871635968,5435817984,4756340736,2378170368,
2378170368,2378170368,2378170368,603979776,301989888,141557760,70778880,
75497472,37748736,37748736,37748736,37748736,28311552,14155776,9437184,4718592
,4718592,2359296,3145728,1572864,604800,302400,238878720,119439360,1990656,
2654208,1327104,2239488,1119744,829440,414720,663552,331776,248832,124416,
55296,27648,846720,423360,7056,3528,884736,442368,884736,442368,589824,294912,
196608,98304,73728,36864,36864,36864,36864,49152,24576,49152,24576,24576,24576
,24576,49152,24576,24576,24576,24576,6144,3072,6144,3072,1944,972,324,5760,
2880,2880,1440,198,198,198,995328,497664,373248,186624,82944,110592,55296,
20736,20736,20736,9216,27648,13824,13824,13824,13824,20736,10368,10368,10368,
10368,13824,6912,4608,2304,4608,2304,3456,1728,1152,1152,576,2304,1152,1152,
1152,1152,576,1152,576,1152,78,39,2688,1344,336,168,5400,2700,540,270,1536,768
,768,768,768,768,384,384,384,384,768,384,384,384,384,102,51,102,51,324,324,324
,108,216,108,57,57,57,480,240,240,120,126,126,63,66,66,66,576,576,1152,576,576
,288,288,288,288,672,336,336,336,336,168,84,360,180,180,90,99,99,99,105,105,
105,6622253206732800,95126814720,3397386240,2642411520,396361728,18874368,
6291456,393216,8709120,8709120,138240,93312,27648,10368,6193152,245760,196608,
147456,98304,65536,49152,49152,32768,32768,24576,6144,2048,7200,480,27648,
23040,13824,10368,9216,2304,2304,2304,1728,1152,768,192,2352,2352,112,3072,
3072,512,256,256,108,108,36,480,160,1728,576,576,576,384,384,192,192,96,96,96,
48,26,112,56,180,180,60,64,64,34,34,36,40,42,42,96,96,56,60],
[,[1,2,1,2,1,2,1,2,9,10,11,12,3,4,3,4,3,4,5,6,5,6,6,3,4,5,6,5,6,5,6,6,7,8,5,6,
7,8,7,8,41,42,9,10,11,9,10,12,12,11,11,9,10,12,12,11,12,58,59,60,61,13,14,15,
16,17,18,17,18,19,20,21,23,22,24,25,28,29,30,32,31,28,29,30,32,31,33,34,39,40,
91,92,93,41,42,41,42,98,99,100,43,44,48,49,45,43,44,49,48,49,45,46,47,46,47,47
,54,55,54,55,55,46,47,46,47,48,49,50,51,56,57,57,54,55,54,55,55,57,57,57,57,
142,143,58,59,60,61,148,149,150,151,68,69,68,69,69,77,78,79,81,80,82,83,84,86,
85,167,168,169,170,91,92,92,93,91,92,177,178,179,94,95,96,97,184,185,186,98,99
,100,111,105,106,107,112,113,114,116,115,144,145,144,145,145,146,147,148,149,
150,151,210,211,212,213,214,215,1,1,5,5,3,5,5,7,9,11,9,12,11,12,19,13,28,15,19
,28,19,19,28,28,28,33,39,41,41,46,50,50,54,46,45,46,50,48,54,50,57,58,60,60,66
,66,66,77,82,91,93,93,96,96,117,101,105,112,112,112,111,117,133,133,133,130,
142,144,146,148,150,150,152,152,167,169,175,180,184,185,192,192,199,206],[1,1,
3,3,5,5,7,7,1,1,1,1,13,13,15,15,17,17,19,19,21,21,21,24,24,26,26,28,28,30,30,
30,33,33,35,35,37,37,39,39,41,41,3,3,3,5,5,3,3,5,5,7,7,5,5,7,7,58,58,60,60,62,
62,64,64,66,66,68,68,70,70,72,72,72,75,75,77,77,79,79,79,82,82,84,84,84,87,87,
89,89,12,12,12,94,94,96,96,98,98,98,15,15,15,15,15,17,17,17,17,17,13,19,19,21,
21,21,19,19,21,21,21,26,26,35,35,24,24,26,26,33,33,33,28,28,30,30,30,37,37,37,
37,142,142,144,144,146,146,41,41,41,41,152,152,154,154,154,157,157,159,159,159
,162,162,164,164,164,169,169,167,167,49,49,49,48,54,54,177,177,177,180,180,182
,182,58,60,60,187,187,187,62,64,66,66,70,70,72,72,72,199,199,201,201,201,204,
204,96,96,94,94,98,98,98,213,213,213,216,217,218,219,220,221,222,223,216,216,
217,216,217,217,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
218,219,218,218,219,220,221,221,220,221,222,223,257,258,259,260,261,262,263,
264,227,227,229,268,269,230,233,233,230,236,237,231,234,232,240,240,241,282,
283,284,243,243,244,288,289,291,290,248,293,257,258,260,261,298,268],,[1,2,3,4
,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,22,24,25,26,27,28,29,30,32,
31,33,34,35,36,37,38,39,40,1,2,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58
,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,73,75,76,77,78,79,81,80,82,83,84
,86,85,87,88,89,90,91,92,93,3,4,5,6,98,100,99,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,116,115,117,118,119,121,120,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,137,136,140,141,138,139,142,143,144,145,146,
147,11,11,9,10,152,153,154,156,155,157,158,159,161,160,162,163,164,166,165,169
,170,167,168,171,172,173,174,175,176,177,179,178,13,14,26,27,184,185,186,187,
189,188,190,191,192,193,194,195,196,198,197,199,200,201,203,202,204,205,50,51,
43,44,210,212,211,58,59,59,216,217,218,219,220,221,222,223,224,225,226,227,228
,229,230,231,232,233,234,235,236,237,238,239,240,241,242,216,217,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,259,261,260,262,263,264,265,266,
267,219,218,270,271,272,273,274,275,276,277,278,280,279,281,282,283,284,225,
224,226,289,288,291,290,292,231,294,295,297,296,298,246],,[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,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,1,2,1,2,62,
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,
89,90,91,92,93,94,95,96,97,98,100,99,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,5,6,3,4,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,169,170,167,
168,171,172,173,174,175,176,177,178,179,180,181,182,183,11,9,10,187,189,188,
190,191,192,193,194,195,196,197,198,19,20,21,22,23,13,14,206,207,208,209,210,
212,211,41,42,42,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,
250,251,252,253,254,255,256,216,216,217,261,260,262,263,264,265,266,267,268,
269,270,271,272,273,274,275,276,277,278,279,280,281,282,219,220,285,286,287,
289,288,291,290,292,293,225,224,297,296,230,299],,,,[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,23,22,24,25,26,27,28,29,30,32,31,33,34,35,36,37,
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,
64,65,66,67,68,69,70,71,72,74,73,75,76,77,78,79,81,80,82,83,84,86,85,87,88,89,
90,91,92,93,94,95,96,97,1,2,2,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,116,115,117,118,119,121,120,122,123,124,125,126,127,128,129,130,131,
132,133,134,135,137,136,140,141,138,139,142,143,144,145,146,147,148,149,150,
151,152,153,154,156,155,157,158,159,161,160,162,163,164,166,165,169,170,167,
168,171,172,173,174,175,176,177,179,178,180,181,182,183,184,185,186,3,4,4,190,
191,192,193,194,195,196,198,197,199,200,201,203,202,204,205,206,207,208,209,9,
10,10,213,215,214,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,
250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,
269,270,271,272,273,274,275,276,277,278,280,279,281,282,283,284,285,286,287,
288,289,291,290,292,293,294,295,296,297,298,299],,[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,
91,92,93,94,95,96,97,98,100,99,101,102,103,104,105,106,107,108,109,110,111,112
,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,
132,133,134,135,136,137,138,139,140,141,1,2,144,145,146,147,148,149,150,151,
152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,
171,172,173,174,175,176,177,179,178,180,181,182,183,184,185,186,187,189,188,
190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,
209,210,212,211,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,
228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,
247,248,249,250,251,252,253,254,255,256,257,258,259,261,260,262,263,264,265,
266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,216,283,284,
285,286,287,289,288,290,291,292,293,294,295,297,296,298,299],,,,[1,2,3,4,5,6,7
,8,9,10,11,12,13,14,15,16,17,18,19,20,21,23,22,24,25,26,27,28,29,30,32,31,33,
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,
60,61,62,63,64,65,66,67,68,69,70,71,72,74,73,75,76,77,78,79,81,80,82,83,84,86,
85,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,116,115,117,118,119,121,120,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,137,136,140,141,138,139,142,143,144,145,146,
147,148,149,150,151,152,153,154,156,155,157,158,159,161,160,162,163,164,166,
165,1,2,1,2,171,172,173,174,175,176,177,179,178,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,198,197,199,200,201,203,202,204,205,
206,207,208,209,210,211,212,213,215,214,216,217,218,219,220,221,222,223,224,
225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,
244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,280,279,281,
282,283,284,285,286,287,288,289,216,216,292,293,294,295,296,297,298,299],,[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,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100,99,101,102,103,104,105,106
,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,
164,165,166,167,168,169,170,171,172,173,174,175,176,1,2,2,180,181,182,183,184,
185,186,187,189,188,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,207,208,209,210,212,211,213,215,214,216,217,218,219,220,221,222,
223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,
299]],
0,
[(214,215),(178,179),(167,169)(168,170)(290,291),
( 99,100)(167,169)(168,170)(188,189)(211,212)(290,291),
(167,169)(168,170)(260,261)(288,289)(290,291)(296,297),
( 22, 23)( 31, 32)( 73, 74)( 80, 81)( 85, 86)(115,116)(120,121)(136,137)
(138,140)(139,141)(155,156)(160,161)(165,166)(167,169)(168,170)(197,198)
(202,203)(260,261)(279,280)(288,289)(290,291)(296,297)
],
["ConstructMGA","3.2E6(2)","2E6(2).2",[[127,128],[129,130],[131,132],[133,136]
,[134,135],[137,138],[139,140],[141,142],[143,146],[144,145],[147,148],[149,
150],[151,152],[153,154],[155,158],[156,157],[159,160],[161,162],[163,164],[
165,166],[167,170],[168,169],[171,172],[173,174],[175,176],[177,178],[179,180]
,[181,182],[183,184],[185,188],[186,187],[189,190],[191,192],[193,196],[194,
195],[197,198],[199,204],[200,203],[201,202],[205,206],[207,208],[209,210],[
211,216],[212,215],[213,214],[217,218],[219,220],[221,222],[223,226],[224,225]
,[227,228],[229,230],[231,232],[233,234],[235,236],[237,238],[239,242],[240,
241],[243,244],[245,246],[247,248],[249,250],[251,252],[253,254],[255,258],[
256,257],[259,260],[261,262],[263,264],[265,270],[266,269],[267,268],[271,272]
,[273,274],[275,276],[277,280],[278,279],[281,282],[283,284],[285,286],[287,
288],[289,290],[291,292],[293,294],[295,298],[296,297],[299,302],[300,301],[
303,306],[304,305],[307,310],[308,309],[311,312],[313,314],[315,316],[317,318]
,[319,320],[321,322],[323,324],[325,326],[327,328],[329,332],[330,331],[333,
334],[335,336],[337,338],[339,342],[340,341],[343,344],[345,346]],()]);
ALF("3.2E6(2).2","2E6(2).2",[1,1,2,2,3,3,4,4,5,5,6,7,8,8,9,9,10,10,11,
11,12,12,12,13,13,14,14,15,15,16,16,16,17,17,18,18,19,19,20,20,21,21,22,
22,23,24,24,25,25,26,26,27,27,28,28,29,30,31,31,32,32,33,33,34,34,35,35,
36,36,37,37,38,38,38,39,39,40,40,41,41,41,42,42,43,43,43,44,44,45,45,46,
46,47,48,48,49,49,50,50,50,51,51,52,52,53,54,54,55,55,55,56,57,57,58,58,
58,59,59,60,60,60,61,61,62,62,63,63,64,64,65,66,67,68,68,69,69,69,70,70,
71,71,72,72,73,73,74,74,75,75,76,76,77,77,78,78,78,79,79,80,80,80,81,81,
82,82,82,83,83,84,84,85,85,85,86,87,87,88,88,88,89,89,90,90,91,92,92,93,
93,93,94,95,96,96,97,97,98,98,98,99,99,100,100,100,101,101,102,102,103,
103,104,104,104,105,105,105,106,107,108,109,110,111,112,113,114,115,116,
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]);

MOT("6.2E6(2)",
[
"constructed using `CharacterTableOfCommonCentralExtension'"
],
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459194878102649123635200,459194878102649123635200,459194878102649123635200,
115722911628656640,115722911628656640,115722911628656640,115722911628656640,
115722911628656640,115722911628656640,146114787409920,146114787409920,
146114787409920,146114787409920,146114787409920,146114787409920,173946175488,
173946175488,173946175488,165542952960,165542952960,165542952960,165542952960,
165542952960,165542952960,3135283200,3135283200,20155392,20155392,253671505920
,253671505920,253671505920,253671505920,253671505920,253671505920,97844723712,
97844723712,97844723712,5435817984,5435817984,5435817984,4756340736,4756340736
,4756340736,4756340736,4756340736,4756340736,2378170368,2378170368,2378170368,
2378170368,2378170368,2378170368,301989888,301989888,301989888,141557760,
141557760,141557760,141557760,141557760,141557760,75497472,75497472,75497472,
75497472,75497472,75497472,37748736,37748736,37748736,37748736,37748736,
37748736,28311552,28311552,28311552,28311552,28311552,28311552,4718592,4718592
,4718592,2359296,2359296,2359296,1572864,1572864,1572864,604800,604800,604800,
604800,604800,604800,238878720,238878720,238878720,238878720,238878720,
238878720,1990656,1990656,2654208,2654208,2654208,2654208,2654208,2654208,
2239488,2239488,2239488,2239488,2239488,2239488,829440,829440,829440,829440,
829440,829440,331776,331776,331776,248832,248832,248832,248832,248832,248832,
55296,55296,27648,27648,846720,846720,846720,846720,846720,846720,7056,7056,
7056,7056,7056,7056,442368,442368,442368,884736,884736,884736,884736,884736,
884736,294912,294912,294912,98304,98304,98304,73728,73728,73728,73728,73728,
73728,36864,36864,36864,36864,36864,36864,24576,24576,24576,49152,49152,49152,
49152,49152,49152,24576,24576,24576,24576,24576,24576,49152,49152,49152,49152,
49152,49152,24576,24576,24576,24576,24576,24576,3072,3072,3072,6144,6144,6144,
6144,6144,6144,1944,1944,1944,1944,1944,1944,324,324,5760,5760,5760,5760,5760,
5760,2880,2880,2880,2880,2880,2880,396,396,396,396,396,396,396,396,396,396,396
,396,497664,497664,497664,186624,186624,186624,82944,82944,55296,55296,55296,
20736,20736,20736,20736,20736,20736,9216,9216,27648,27648,27648,27648,27648,
27648,13824,13824,13824,13824,13824,13824,20736,20736,20736,20736,20736,20736,
10368,10368,10368,10368,10368,10368,13824,13824,13824,13824,13824,13824,2304,
2304,2304,2304,2304,2304,3456,3456,3456,3456,3456,3456,1152,1152,1152,1152,
1152,1152,1152,1152,2304,2304,2304,2304,2304,2304,1152,1152,1152,1152,1152,
1152,576,576,576,576,576,576,78,78,78,78,78,78,2688,2688,2688,2688,2688,2688,
336,336,336,336,336,336,5400,5400,5400,5400,5400,5400,540,540,540,540,540,540,
768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,384,384,384,384,
384,384,768,768,768,768,768,768,384,384,384,384,384,384,102,102,102,102,102,
102,102,102,102,102,102,102,648,648,648,648,648,648,648,648,648,648,648,648,
108,108,216,216,216,216,216,216,114,114,114,114,114,114,114,114,114,114,114,
114,480,480,480,480,480,480,240,240,240,240,240,240,126,126,126,126,126,126,
126,126,132,132,132,132,132,132,132,132,132,132,132,132,576,576,576,576,576,
576,576,576,576,576,576,576,576,288,288,288,288,288,288,672,672,672,672,672,
672,336,336,336,336,336,336,168,168,168,168,168,168,360,360,360,360,360,360,
180,180,180,180,180,180,198,198,198,198,198,198,198,198,198,198,198,198,210,
210,210,210,210,210,210,210,210,210,210,210],
[,[1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,1,3,5,22,24,26,22,24,26,28,28,30,30,7,9
,11,7,9,11,7,9,11,7,9,11,13,15,17,13,15,17,16,18,14,16,18,14,7,9,11,13,15,17,
13,15,17,13,15,17,13,15,17,16,18,14,16,18,14,19,21,20,19,21,20,13,15,17,19,21,
20,19,21,20,92,94,96,92,94,96,22,24,26,22,24,26,28,28,22,24,26,22,24,26,30,30,
30,30,30,30,28,28,28,28,28,28,22,24,26,30,30,30,30,30,30,28,28,30,30,137,139,
141,137,139,141,143,145,147,143,145,147,32,34,36,38,40,39,38,40,39,41,43,42,41
,43,42,44,46,48,44,46,48,50,52,51,53,55,54,56,58,57,65,67,69,65,67,69,71,73,72
,74,76,75,65,67,69,65,67,69,71,73,72,74,76,75,77,79,81,89,91,90,89,91,90,212,
214,216,212,214,216,218,218,92,94,96,92,94,96,92,94,96,92,94,96,238,240,242,
238,240,242,232,234,236,232,234,236,98,100,102,112,114,116,104,104,98,100,102,
116,112,114,114,116,112,104,104,106,108,110,106,108,110,109,111,107,109,111,
107,127,129,131,127,129,131,130,132,128,130,132,128,106,108,110,106,108,110,
106,108,110,112,114,116,118,120,122,118,120,122,133,133,135,135,136,136,136,
136,127,129,131,127,129,131,130,132,128,130,132,128,135,135,135,135,135,135,
331,333,335,331,333,335,137,139,141,137,139,141,143,145,147,143,145,147,349,
351,353,349,351,353,355,357,359,355,357,359,161,163,162,161,163,162,161,163,
162,179,181,183,179,181,183,185,187,186,188,190,189,191,193,195,191,193,195,
197,199,198,200,202,201,394,396,398,394,396,398,400,402,404,400,402,404,212,
214,216,212,214,216,212,214,216,212,214,216,218,218,212,214,216,212,214,216,
432,434,436,432,434,436,426,428,430,426,428,430,220,222,224,220,222,224,226,
228,230,226,228,230,450,450,452,454,456,452,454,456,238,240,242,238,240,242,
232,234,236,232,234,236,261,261,250,250,252,254,253,263,265,267,263,265,267,
269,271,270,272,274,273,337,339,341,337,339,341,340,342,338,340,342,338,343,
345,347,343,345,347,349,351,353,349,351,353,355,357,359,355,357,359,525,527,
529,525,527,529,519,521,523,519,521,523,537,539,541,537,539,541,531,533,535,
531,533,535],[1,4,1,4,1,4,7,10,7,10,7,10,13,16,13,16,13,16,19,19,19,1,4,1,4,1,
4,1,4,1,4,32,35,32,35,32,35,38,38,38,41,41,41,44,47,44,47,44,47,50,50,50,53,53
,53,56,56,56,59,62,59,62,59,62,65,68,65,68,65,68,71,71,71,74,74,74,77,80,77,80
,77,80,83,83,83,86,86,86,89,89,89,92,95,92,95,92,95,7,10,7,10,7,10,7,10,13,16,
13,16,13,16,7,10,7,10,7,10,13,16,13,16,13,16,19,19,19,13,16,13,16,13,16,19,19,
19,19,137,140,137,140,137,140,143,146,143,146,143,146,149,149,149,152,155,152,
155,152,155,158,158,158,161,161,161,164,167,164,167,164,167,170,170,170,173,
173,173,176,176,176,179,182,179,182,179,182,185,185,185,188,188,188,191,194,
191,194,191,194,197,197,197,200,200,200,203,203,203,206,209,206,209,206,209,30
,31,30,31,30,31,30,31,220,223,220,223,220,223,226,229,226,229,226,229,232,235,
232,235,232,235,238,241,238,241,238,241,38,38,38,38,38,38,38,38,41,41,41,41,41
,41,41,41,41,32,35,44,47,44,47,44,47,50,50,50,53,53,53,44,47,44,47,44,47,50,50
,50,53,53,53,59,62,59,62,59,62,83,83,83,56,56,56,59,62,59,62,59,62,77,80,77,80
,77,80,77,80,65,68,65,68,65,68,71,71,71,74,74,74,86,86,86,86,86,86,331,334,331
,334,331,334,337,340,337,340,337,340,343,346,343,346,343,346,92,95,92,95,92,95
,92,95,92,95,92,95,361,361,361,364,364,364,367,367,367,370,373,370,373,370,373
,376,376,376,379,379,379,382,385,382,385,382,385,388,388,388,391,391,391,400,
403,400,403,400,403,394,397,394,397,394,397,114,117,114,117,114,117,116,113,
116,113,116,113,112,115,127,130,127,130,127,130,432,435,432,435,432,435,426,
429,426,429,426,429,438,441,438,441,438,441,444,447,444,447,444,447,137,140,
143,146,143,146,143,146,458,461,458,461,458,461,464,467,464,467,464,467,149,
149,152,155,158,158,158,164,167,164,167,164,167,170,170,170,173,173,173,489,
492,489,492,489,492,495,495,495,498,498,498,501,504,501,504,501,504,226,229,
226,229,226,229,220,223,220,223,220,223,232,235,232,235,232,235,238,241,238,
241,238,241,531,534,531,534,531,534,537,540,537,540,537,540],,[1,6,5,4,3,2,7,
12,11,10,9,8,13,18,17,16,15,14,19,21,20,22,27,26,25,24,23,28,29,30,31,32,37,36
,35,34,33,38,40,39,41,43,42,44,49,48,47,46,45,50,52,51,53,55,54,56,58,57,59,64
,63,62,61,60,65,70,69,68,67,66,71,73,72,74,76,75,77,82,81,80,79,78,83,85,84,86
,88,87,89,91,90,1,6,5,4,3,2,98,103,102,101,100,99,104,105,106,111,110,109,108,
107,112,117,116,115,114,113,118,123,122,121,120,119,124,126,125,127,132,131,
130,129,128,133,134,135,136,137,142,141,140,139,138,143,148,147,146,145,144,
149,151,150,152,157,156,155,154,153,158,160,159,161,163,162,164,169,168,167,
166,165,170,172,171,173,175,174,176,178,177,179,184,183,182,181,180,185,187,
186,188,190,189,191,196,195,194,193,192,197,199,198,200,202,201,203,205,204,
206,211,210,209,208,207,212,217,216,215,214,213,218,219,7,12,11,10,9,8,13,18,
17,16,15,14,232,237,236,235,234,233,238,243,242,241,240,239,244,246,245,247,
249,248,250,251,252,254,253,258,260,259,255,257,256,261,262,263,268,267,266,
265,264,269,271,270,272,274,273,275,280,279,278,277,276,281,283,282,284,286,
285,287,292,291,290,289,288,293,295,294,296,298,297,299,304,303,302,301,300,
305,306,307,308,309,310,311,312,313,318,317,316,315,314,319,321,320,322,324,
323,328,330,329,325,327,326,331,336,335,334,333,332,337,342,341,340,339,338,
343,348,347,346,345,344,28,29,28,29,28,29,22,27,26,25,24,23,361,363,362,364,
366,365,367,369,368,370,375,374,373,372,371,376,378,377,379,381,380,382,387,
386,385,384,383,388,390,389,391,393,392,400,405,404,403,402,401,394,399,398,
397,396,395,412,417,416,415,414,413,406,411,410,409,408,407,418,419,420,425,
424,423,422,421,426,431,430,429,428,427,432,437,436,435,434,433,32,37,36,35,34
,33,59,64,63,62,61,60,450,451,452,457,456,455,454,453,458,463,462,461,460,459,
464,469,468,467,466,465,470,471,472,473,474,476,475,477,482,481,480,479,478,
483,485,484,486,488,487,489,494,493,492,491,490,495,497,496,498,500,499,501,
506,505,504,503,502,118,123,122,121,120,119,98,103,102,101,100,99,519,524,523,
522,521,520,525,530,529,528,527,526,137,142,141,140,139,138,137,142,141,140,
139,138],,[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,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,1,2,3,4,5,6,1,2,3,
4,5,6,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
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,
224,225,226,227,228,229,230,231,238,239,240,241,242,243,232,233,234,235,236,
237,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,
262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,
281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,
300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,
319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,13,14,
15,16,17,18,7,8,9,10,11,12,349,350,351,352,353,354,355,356,357,358,359,360,361
,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,
381,382,383,384,385,386,387,388,389,390,391,392,393,400,401,402,403,404,405,
394,395,396,397,398,399,406,407,408,409,410,411,412,413,414,415,416,417,418,
419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,
438,439,440,441,442,443,444,445,446,447,448,449,28,29,22,23,24,25,26,27,464,
465,466,467,468,469,458,459,460,461,462,463,470,471,472,473,474,475,476,477,
478,479,480,481,482,483,484,485,486,487,488,44,45,46,47,48,49,50,51,52,53,54,
55,32,33,34,35,36,37,507,508,509,510,511,512,513,514,515,516,517,518,525,526,
527,528,529,530,519,520,521,522,523,524,92,93,94,95,96,97,92,93,94,95,96,97],,
,,[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,
29,30,31,32,37,36,35,34,33,38,40,39,41,43,42,44,49,48,47,46,45,50,52,51,53,55,
54,56,58,57,59,64,63,62,61,60,65,70,69,68,67,66,71,73,72,74,76,75,77,82,81,80,
79,78,83,85,84,86,88,87,89,91,90,92,97,96,95,94,93,98,103,102,101,100,99,104,
105,106,111,110,109,108,107,112,117,116,115,114,113,118,123,122,121,120,119,
124,126,125,127,132,131,130,129,128,133,134,135,136,137,142,141,140,139,138,
143,148,147,146,145,144,149,151,150,152,157,156,155,154,153,158,160,159,161,
163,162,164,169,168,167,166,165,170,172,171,173,175,174,176,178,177,179,184,
183,182,181,180,185,187,186,188,190,189,191,196,195,194,193,192,197,199,198,
200,202,201,203,205,204,206,211,210,209,208,207,212,217,216,215,214,213,218,
219,220,225,224,223,222,221,226,231,230,229,228,227,1,6,5,4,3,2,1,6,5,4,3,2,
244,246,245,247,249,248,250,251,252,254,253,258,260,259,255,257,256,261,262,
263,268,267,266,265,264,269,271,270,272,274,273,275,280,279,278,277,276,281,
283,282,284,286,285,287,292,291,290,289,288,293,295,294,296,298,297,299,304,
303,302,301,300,305,306,307,308,309,310,311,312,313,318,317,316,315,314,319,
321,320,322,324,323,328,330,329,325,327,326,331,336,335,334,333,332,337,342,
341,340,339,338,343,348,347,346,345,344,349,354,353,352,351,350,355,360,359,
358,357,356,361,363,362,364,366,365,367,369,368,370,375,374,373,372,371,376,
378,377,379,381,380,382,387,386,385,384,383,388,390,389,391,393,392,400,405,
404,403,402,401,394,399,398,397,396,395,412,417,416,415,414,413,406,411,410,
409,408,407,418,419,420,425,424,423,422,421,426,431,430,429,428,427,432,437,
436,435,434,433,438,443,442,441,440,439,444,449,448,447,446,445,450,451,452,
457,456,455,454,453,7,12,11,10,9,8,7,12,11,10,9,8,470,471,472,473,474,476,475,
477,482,481,480,479,478,483,485,484,486,488,487,489,494,493,492,491,490,495,
497,496,498,500,499,501,506,505,504,503,502,507,512,511,510,509,508,513,518,
517,516,515,514,22,27,26,25,24,23,22,27,26,25,24,23,531,536,535,534,533,532,
537,542,541,540,539,538],,[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,
214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,238,
239,240,241,242,243,232,233,234,235,236,237,244,245,246,247,248,249,250,251,
252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,
328,329,330,1,2,3,4,5,6,337,338,339,340,341,342,343,344,345,346,347,348,349,
350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,
369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,
407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,
432,433,434,435,436,437,426,427,428,429,430,431,438,439,440,441,442,443,444,
445,446,447,448,449,450,451,452,453,454,455,456,457,464,465,466,467,468,469,
458,459,460,461,462,463,470,471,472,473,474,475,476,477,478,479,480,481,482,
483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,
502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,525,526,
527,528,529,530,519,520,521,522,523,524,531,532,533,534,535,536,537,538,539,
540,541,542],,,,[1,6,5,4,3,2,7,12,11,10,9,8,13,18,17,16,15,14,19,21,20,22,27,
26,25,24,23,28,29,30,31,32,37,36,35,34,33,38,40,39,41,43,42,44,49,48,47,46,45,
50,52,51,53,55,54,56,58,57,59,64,63,62,61,60,65,70,69,68,67,66,71,73,72,74,76,
75,77,82,81,80,79,78,83,85,84,86,88,87,89,91,90,92,97,96,95,94,93,98,103,102,
101,100,99,104,105,106,111,110,109,108,107,112,117,116,115,114,113,118,123,122
,121,120,119,124,126,125,127,132,131,130,129,128,133,134,135,136,137,142,141,
140,139,138,143,148,147,146,145,144,149,151,150,152,157,156,155,154,153,158,
160,159,161,163,162,164,169,168,167,166,165,170,172,171,173,175,174,176,178,
177,179,184,183,182,181,180,185,187,186,188,190,189,191,196,195,194,193,192,
197,199,198,200,202,201,203,205,204,206,211,210,209,208,207,212,217,216,215,
214,213,218,219,220,225,224,223,222,221,226,231,230,229,228,227,238,243,242,
241,240,239,232,237,236,235,234,233,244,246,245,247,249,248,250,251,252,254,
253,258,260,259,255,257,256,261,262,263,268,267,266,265,264,269,271,270,272,
274,273,275,280,279,278,277,276,281,283,282,284,286,285,287,292,291,290,289,
288,293,295,294,296,298,297,299,304,303,302,301,300,305,306,307,308,309,310,
311,312,313,318,317,316,315,314,319,321,320,322,324,323,328,330,329,325,327,
326,331,336,335,334,333,332,337,342,341,340,339,338,343,348,347,346,345,344,
349,354,353,352,351,350,355,360,359,358,357,356,361,363,362,364,366,365,367,
369,368,370,375,374,373,372,371,376,378,377,379,381,380,382,387,386,385,384,
383,388,390,389,391,393,392,1,6,5,4,3,2,1,6,5,4,3,2,412,417,416,415,414,413,
406,411,410,409,408,407,418,419,420,425,424,423,422,421,426,431,430,429,428,
427,432,437,436,435,434,433,438,443,442,441,440,439,444,449,448,447,446,445,
450,451,452,457,456,455,454,453,464,469,468,467,466,465,458,463,462,461,460,
459,470,471,472,473,474,476,475,477,482,481,480,479,478,483,485,484,486,488,
487,489,494,493,492,491,490,495,497,496,498,500,499,501,506,505,504,503,502,
507,512,511,510,509,508,513,518,517,516,515,514,525,530,529,528,527,526,519,
524,523,522,521,520,531,536,535,534,533,532,537,542,541,540,539,538],,[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,
221,222,223,224,225,226,227,228,229,230,231,238,239,240,241,242,243,232,233,
234,235,236,237,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,
259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,
297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,
335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,
354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,
392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,
411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,1,2,3,4,5,6,1,2,3,
4,5,6,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,
456,457,464,465,466,467,468,469,458,459,460,461,462,463,470,471,472,473,474,
475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,
494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,
513,514,515,516,517,518,525,526,527,528,529,530,519,520,521,522,523,524,537,
538,539,540,541,542,531,532,533,534,535,536]],
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(426,432)(427,433)(428,434)(429,435)(430,436)(431,437),
(394,400)(395,401)(396,402)(397,403)(398,404)(399,405),
(232,238)(233,239)(234,240)(235,241)(236,242)(237,243)(458,464)(459,465)
(460,466)(461,467)(462,468)(463,469)(519,525)(520,526)(521,527)(522,528)
(523,529)(524,530)
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( 50, 53)( 51, 54)( 52, 55)( 71, 74)( 72, 75)( 73, 76)(170,173)(171,174)
(172,175)(185,188)(186,189)(187,190)(197,200)(198,201)(199,202)(269,272)
(270,273)(271,274)(281,284)(282,285)(283,286)(309,311)(310,312)(319,322)
(320,323)(321,324)(325,329)(326,330)(327,328)(364,367)(365,368)(366,369)
(376,379)(377,380)(378,381)(388,391)(389,392)(390,393)(483,486)(484,487)
(485,488)(495,498)(496,499)(497,500)
,
(  2,  6)(  3,  5)(  8, 12)(  9, 11)( 14, 18)( 15, 17)( 20, 21)( 23, 27)
( 24, 26)( 33, 37)( 34, 36)( 39, 40)( 42, 43)( 45, 49)( 46, 48)( 51, 52)
( 54, 55)( 57, 58)( 60, 64)( 61, 63)( 66, 70)( 67, 69)( 72, 73)( 75, 76)
( 78, 82)( 79, 81)( 84, 85)( 87, 88)( 90, 91)( 93, 97)( 94, 96)( 99,103)
(100,102)(107,111)(108,110)(113,117)(114,116)(119,123)(120,122)(125,126)
(128,132)(129,131)(138,142)(139,141)(144,148)(145,147)(150,151)(153,157)
(154,156)(159,160)(162,163)(165,169)(166,168)(171,172)(174,175)(177,178)
(180,184)(181,183)(186,187)(189,190)(192,196)(193,195)(198,199)(201,202)
(204,205)(207,211)(208,210)(213,217)(214,216)(221,225)(222,224)(227,231)
(228,230)(233,237)(234,236)(239,243)(240,242)(245,246)(248,249)(253,254)
(255,258)(256,260)(257,259)(264,268)(265,267)(270,271)(273,274)(276,280)
(277,279)(282,283)(285,286)(288,292)(289,291)(294,295)(297,298)(300,304)
(301,303)(314,318)(315,317)(320,321)(323,324)(325,328)(326,330)(327,329)
(332,336)(333,335)(338,342)(339,341)(344,348)(345,347)(350,354)(351,353)
(356,360)(357,359)(362,363)(365,366)(368,369)(371,375)(372,374)(377,378)
(380,381)(383,387)(384,386)(389,390)(392,393)(395,399)(396,398)(401,405)
(402,404)(406,412)(407,417)(408,416)(409,415)(410,414)(411,413)(421,425)
(422,424)(427,431)(428,430)(433,437)(434,436)(439,443)(440,442)(445,449)
(446,448)(453,457)(454,456)(459,463)(460,462)(465,469)(466,468)(475,476)
(478,482)(479,481)(484,485)(487,488)(490,494)(491,493)(496,497)(499,500)
(502,506)(503,505)(508,512)(509,511)(514,518)(515,517)(520,524)(521,523)
(526,530)(527,529)(532,536)(533,535)(538,542)(539,541)
],
["ConstructProj",[["2E6(2)",[]],["2.2E6(2)",[]],["3.2E6(2)",[2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
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71,71,23,23,23,23,2,2,2,2,2,2,2,2,2,20,20,2,35,35,23,23,2,2]],,,["6.2E6(2)",[
5,5,5,5,5,5,5,5,5,5,5,23,23,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,71,71,5,5,5,5,
5,35,35,5,5,5,5,5,5,77,77,23,23,23,23,5,5,5,5,5,5,5,5]]]]);
ALF("6.2E6(2)","2E6(2)",[1,1,1,1,1,1,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,5,5,5,
5,5,5,6,6,7,7,8,8,8,8,8,8,9,9,9,10,10,10,11,11,11,11,11,11,12,12,12,13,13,
13,14,14,14,15,15,15,15,15,15,16,16,16,16,16,16,17,17,17,18,18,18,19,19,
19,19,19,19,20,20,20,21,21,21,22,22,22,23,23,23,23,23,23,24,24,24,24,24,
24,25,25,26,26,26,26,26,26,27,27,27,27,27,27,28,28,28,28,28,28,29,29,29,
30,30,30,30,30,30,31,31,32,32,33,33,33,33,33,33,34,34,34,34,34,34,35,35,
35,36,36,36,36,36,36,37,37,37,38,38,38,39,39,39,39,39,39,40,40,40,41,41,
41,42,42,42,43,43,43,43,43,43,44,44,44,45,45,45,46,46,46,46,46,46,47,47,
47,48,48,48,49,49,49,50,50,50,50,50,50,51,51,51,51,51,51,52,52,53,53,53,
53,53,53,54,54,54,54,54,54,55,55,55,55,55,55,56,56,56,56,56,56,57,57,57,
58,58,58,59,59,60,60,60,61,61,61,62,62,62,63,63,64,64,64,64,64,64,65,65,
65,66,66,66,67,67,67,67,67,67,68,68,68,69,69,69,70,70,70,70,70,70,71,71,
71,72,72,72,73,73,73,73,73,73,74,74,75,75,76,76,77,77,78,78,78,78,78,78,
79,79,79,80,80,80,81,81,81,82,82,82,83,83,83,83,83,83,84,84,84,84,84,84,
85,85,85,85,85,85,86,86,86,86,86,86,87,87,87,87,87,87,88,88,88,89,89,89,
90,90,90,91,91,91,91,91,91,92,92,92,93,93,93,94,94,94,94,94,94,95,95,95,
96,96,96,97,97,97,97,97,97,98,98,98,98,98,98,99,99,99,99,99,99,100,100,
100,100,100,100,101,101,102,102,102,102,102,102,103,103,103,103,103,103,
104,104,104,104,104,104,105,105,105,105,105,105,106,106,106,106,106,106,
107,107,108,108,108,108,108,108,109,109,109,109,109,109,110,110,110,110,
110,110,111,111,112,112,113,113,113,114,114,114,114,114,114,115,115,115,
116,116,116,117,117,117,117,117,117,118,118,118,119,119,119,120,120,120,
120,120,120,121,121,121,121,121,121,122,122,122,122,122,122,123,123,123,
123,123,123,124,124,124,124,124,124,125,125,125,125,125,125,126,126,126,
126,126,126]);
ALF("6.2E6(2)","2.2E6(2)",[1,2,1,2,1,2,3,4,3,4,3,4,5,6,5,6,5,6,7,7,7,8,9,
8,9,8,9,10,11,12,13,14,15,14,15,14,15,16,16,16,17,17,17,18,19,18,19,18,19,
20,20,20,21,21,21,22,22,22,23,24,23,24,23,24,25,26,25,26,25,26,27,27,27,
28,28,28,29,30,29,30,29,30,31,31,31,32,32,32,33,33,33,34,35,34,35,34,35,
36,37,36,37,36,37,38,39,40,41,40,41,40,41,42,43,42,43,42,43,44,45,44,45,
44,45,46,46,46,47,48,47,48,47,48,49,50,51,52,53,54,53,54,53,54,55,56,55,
56,55,56,57,57,57,58,59,58,59,58,59,60,60,60,61,61,61,62,63,62,63,62,63,
64,64,64,65,65,65,66,66,66,67,68,67,68,67,68,69,69,69,70,70,70,71,72,71,
72,71,72,73,73,73,74,74,74,75,75,75,76,77,76,77,76,77,78,79,78,79,78,79,
80,81,82,83,82,83,82,83,84,85,84,85,84,85,86,87,86,87,86,87,88,89,88,89,
88,89,90,90,90,91,91,91,92,93,94,94,94,95,95,95,96,96,96,97,98,99,100,99,
100,99,100,101,101,101,102,102,102,103,104,103,104,103,104,105,105,105,
106,106,106,107,108,107,108,107,108,109,109,109,110,110,110,111,112,111,
112,111,112,113,114,115,116,117,118,119,120,121,122,121,122,121,122,123,
123,123,124,124,124,125,125,125,126,126,126,127,128,127,128,127,128,129,
130,129,130,129,130,131,132,131,132,131,132,133,134,133,134,133,134,135,
136,135,136,135,136,137,137,137,138,138,138,139,139,139,140,141,140,141,
140,141,142,142,142,143,143,143,144,145,144,145,144,145,146,146,146,147,
147,147,148,149,148,149,148,149,150,151,150,151,150,151,152,153,152,153,
152,153,154,155,154,155,154,155,156,157,158,159,158,159,158,159,160,161,
160,161,160,161,162,163,162,163,162,163,164,165,164,165,164,165,166,167,
166,167,166,167,168,169,170,171,170,171,170,171,172,173,172,173,172,173,
174,175,174,175,174,175,176,177,178,179,180,180,180,181,182,181,182,181,
182,183,183,183,184,184,184,185,186,185,186,185,186,187,187,187,188,188,
188,189,190,189,190,189,190,191,192,191,192,191,192,193,194,193,194,193,
194,195,196,195,196,195,196,197,198,197,198,197,198,199,200,199,200,199,
200,201,202,201,202,201,202]);
ALF("6.2E6(2)","3.2E6(2)",[1,2,3,1,2,3,4,5,6,4,5,6,7,8,9,7,8,9,10,11,12,
13,14,15,13,14,15,16,16,17,17,18,19,20,18,19,20,21,22,23,24,25,26,27,28,
29,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,39,40,41,42,43,44,42,43,
44,45,46,47,48,49,50,51,52,53,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,63,64,65,66,67,68,66,67,68,69,69,70,71,72,70,71,72,73,74,75,73,74,75,
76,77,78,76,77,78,79,80,81,82,83,84,82,83,84,85,85,86,86,87,88,89,87,88,
89,90,91,92,90,91,92,93,94,95,96,97,98,96,97,98,99,100,101,102,103,104,
105,106,107,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
117,118,119,120,121,122,123,124,125,126,127,128,126,127,128,129,130,131,
132,133,134,135,136,137,138,139,140,138,139,140,141,142,143,141,142,143,
144,144,145,146,147,145,146,147,148,149,150,148,149,150,151,152,153,151,
152,153,154,155,156,154,155,156,157,158,159,160,161,162,163,163,164,165,
166,167,168,169,170,171,172,173,173,174,175,176,174,175,176,177,178,179,
180,181,182,183,184,185,183,184,185,186,187,188,189,190,191,192,193,194,
192,193,194,195,196,197,198,199,200,201,202,203,201,202,203,204,204,205,
205,206,206,207,207,208,209,210,208,209,210,211,212,213,214,215,216,217,
218,219,220,221,222,223,224,225,223,224,225,226,227,228,226,227,228,229,
230,231,229,230,231,232,233,234,232,233,234,235,236,237,235,236,237,238,
239,240,241,242,243,244,245,246,247,248,249,247,248,249,250,251,252,253,
254,255,256,257,258,256,257,258,259,260,261,262,263,264,265,266,267,265,
266,267,268,269,270,268,269,270,271,272,273,271,272,273,274,275,276,274,
275,276,277,277,278,279,280,278,279,280,281,282,283,281,282,283,284,285,
286,284,285,286,287,288,289,287,288,289,290,291,292,290,291,292,293,293,
294,295,296,294,295,296,297,298,299,297,298,299,300,301,302,300,301,302,
303,303,304,304,305,306,307,308,309,310,308,309,310,311,312,313,314,315,
316,317,318,319,317,318,319,320,321,322,323,324,325,326,327,328,326,327,
328,329,330,331,329,330,331,332,333,334,332,333,334,335,336,337,335,336,
337,338,339,340,338,339,340,341,342,343,341,342,343,344,345,346,344,345,
346]);
ALF("6.2E6(2)","6.2E6(2).2",[1,2,3,4,3,2,5,6,7,8,7,6,9,10,11,12,11,10,13,
14,14,15,16,17,18,17,16,19,20,21,22,23,24,25,26,25,24,27,28,28,29,30,30,
31,32,33,34,33,32,35,36,37,35,37,36,38,39,39,40,41,42,43,42,41,44,45,46,
47,46,45,48,49,50,48,50,49,51,52,53,54,53,52,55,56,56,57,58,58,59,60,60,
61,62,63,64,63,62,65,66,67,68,67,66,69,70,71,72,73,74,73,72,75,76,77,78,
77,76,79,80,81,82,81,80,83,84,84,85,86,87,88,87,86,89,90,91,92,93,94,95,
96,95,94,97,98,99,100,99,98,101,102,102,103,104,105,106,105,104,107,108,
108,109,110,110,111,112,113,114,113,112,115,116,117,115,117,116,118,119,
119,120,121,122,123,122,121,124,125,126,124,126,125,127,128,129,130,129,
128,131,132,133,131,133,132,134,135,135,136,137,138,139,138,137,140,141,
142,143,142,141,144,145,146,147,148,149,148,147,150,151,152,153,152,151,
154,155,156,157,158,159,154,159,158,157,156,155,160,161,161,162,163,163,
164,165,166,167,167,168,169,170,168,170,169,171,172,173,174,175,176,175,
174,177,178,179,177,179,178,180,181,182,183,182,181,184,185,186,184,186,
185,187,188,189,190,189,188,191,192,192,193,194,194,195,196,197,198,197,
196,199,200,201,202,203,204,203,204,205,206,207,208,207,206,209,210,211,
209,211,210,212,213,212,214,214,215,216,217,218,219,218,217,220,221,222,
223,222,221,224,225,226,227,226,225,228,229,230,231,230,229,232,233,234,
235,234,233,236,237,237,238,239,240,238,240,239,241,242,243,244,243,242,
245,246,247,245,247,246,248,249,250,251,250,249,252,253,254,252,254,253,
255,256,257,258,257,256,259,260,261,262,261,260,263,264,265,266,267,268,
263,268,267,266,265,264,269,270,271,272,273,274,273,272,275,276,277,278,
279,280,275,280,279,278,277,276,281,282,283,284,283,282,285,286,287,288,
287,286,289,290,291,292,293,294,293,292,295,296,297,298,299,300,295,300,
299,298,297,296,301,302,303,304,305,306,306,307,308,309,310,309,308,311,
312,313,311,313,312,314,315,316,317,316,315,318,319,320,318,320,319,321,
322,323,324,323,322,325,326,327,328,327,326,329,330,331,332,331,330,333,
334,335,336,337,338,333,338,337,336,335,334,339,340,341,342,343,344,339,
344,343,342,341,340],[
"fusion map is unique up to table autom.,\n",
"representative compatible with factors"
]);

MOT("6.2E6(2).2",
[
"constructed using `PossibleCharacterTablesOfTypeMGA'"
],
[918389756205298247270400,459194878102649123635200,459194878102649123635200,
918389756205298247270400,231445823257313280,115722911628656640,
115722911628656640,231445823257313280,292229574819840,146114787409920,
146114787409920,292229574819840,347892350976,173946175488,331085905920,
165542952960,165542952960,331085905920,6270566400,6270566400,40310784,40310784
,507343011840,253671505920,253671505920,507343011840,195689447424,97844723712,
10871635968,5435817984,9512681472,4756340736,4756340736,9512681472,2378170368,
2378170368,2378170368,603979776,301989888,283115520,141557760,141557760,
283115520,150994944,75497472,75497472,150994944,37748736,37748736,37748736,
56623104,28311552,28311552,56623104,9437184,4718592,4718592,2359296,3145728,
1572864,1209600,604800,604800,1209600,477757440,238878720,238878720,477757440,
3981312,3981312,5308416,2654208,2654208,5308416,4478976,2239488,2239488,
4478976,1658880,829440,829440,1658880,663552,331776,497664,248832,248832,
497664,110592,110592,55296,55296,1693440,846720,846720,1693440,14112,7056,7056
,14112,884736,442368,1769472,884736,884736,1769472,589824,294912,196608,98304,
147456,73728,73728,147456,36864,36864,36864,49152,24576,98304,49152,49152,
98304,24576,24576,24576,98304,49152,49152,98304,24576,24576,24576,6144,3072,
12288,6144,6144,12288,3888,1944,1944,3888,648,648,11520,5760,5760,11520,5760,
2880,2880,5760,396,396,396,396,396,396,995328,497664,373248,186624,165888,
165888,110592,55296,20736,20736,20736,18432,18432,55296,27648,27648,55296,
13824,13824,13824,41472,20736,20736,41472,10368,10368,10368,27648,13824,13824,
27648,4608,2304,4608,2304,6912,3456,3456,6912,2304,2304,2304,2304,1152,1152,
4608,2304,2304,4608,1152,1152,1152,576,1152,576,1152,156,78,78,156,5376,2688,
2688,5376,672,336,336,672,10800,5400,5400,10800,1080,540,540,1080,1536,768,768
,768,768,1536,768,768,1536,384,384,384,1536,768,768,1536,384,384,384,204,102,
102,204,204,102,102,204,648,648,648,648,648,648,216,216,432,216,216,432,114,
114,114,114,114,114,960,480,480,960,480,240,240,480,252,252,252,126,126,252,
132,132,132,132,132,132,1152,1152,1152,1152,1152,576,1152,576,576,1152,288,288
,288,1344,672,672,1344,336,336,336,336,168,168,336,720,360,360,720,360,180,180
,360,198,198,198,198,198,198,210,210,210,210,210,210,13244506413465600,
13244506413465600,190253629440,190253629440,6794772480,6794772480,5284823040,
5284823040,792723456,792723456,37748736,37748736,12582912,12582912,786432,
786432,17418240,17418240,17418240,17418240,276480,276480,186624,186624,55296,
55296,20736,20736,6193152,491520,491520,393216,393216,294912,294912,98304,
131072,131072,49152,49152,32768,32768,24576,12288,12288,2048,14400,14400,960,
960,55296,55296,46080,46080,27648,27648,20736,20736,18432,18432,4608,4608,4608
,4608,4608,4608,3456,3456,2304,2304,1536,1536,384,384,4704,4704,4704,4704,224,
224,3072,3072,512,512,512,512,512,216,216,216,216,72,72,960,960,320,320,1728,
1152,1152,1152,1152,576,384,384,384,384,192,192,192,96,96,96,96,52,52,224,224,
112,112,360,360,360,360,120,120,64,64,68,68,68,68,72,72,80,80,84,84,84,84,96,
96,112,112,120,120],
[,[1,3,3,1,1,3,3,1,1,3,3,1,1,3,15,17,17,15,19,19,21,21,5,7,7,5,5,7,5,7,9,11,11
,9,12,10,10,5,7,9,11,11,9,9,11,11,9,12,10,10,13,14,14,13,9,11,13,14,13,14,61,
63,63,61,15,17,17,15,19,19,15,17,17,15,21,21,21,21,19,19,19,19,15,17,21,21,21,
21,19,19,21,21,93,95,95,93,97,99,99,97,23,25,27,28,28,27,29,30,29,30,31,33,33,
31,35,37,36,38,39,44,46,46,44,48,50,49,44,46,46,44,48,50,49,51,53,59,60,60,59,
140,142,142,140,144,144,61,63,63,61,61,63,63,61,154,158,156,154,158,156,65,67,
75,77,69,69,65,67,77,75,77,69,69,71,73,73,71,74,72,72,85,87,87,85,88,86,86,71,
73,73,71,71,73,75,77,79,81,81,79,89,89,91,91,92,92,85,87,87,85,88,86,86,91,91,
91,91,216,218,218,216,93,95,95,93,97,99,99,97,228,230,230,228,232,234,234,232,
109,110,109,110,110,120,122,122,120,124,126,125,127,129,129,127,131,133,132,
255,257,257,255,259,261,261,259,140,142,142,140,142,142,144,144,140,142,142,
140,275,279,277,275,279,277,146,148,148,146,150,152,152,150,289,289,291,293,
293,291,154,158,156,154,158,156,171,171,164,164,166,167,173,175,175,173,177,
179,178,220,222,222,220,223,221,221,224,226,226,224,228,230,230,228,232,234,
234,232,333,337,335,333,337,335,339,343,341,339,343,341,1,1,1,1,9,9,9,9,5,5,9,
9,9,9,13,13,15,15,19,19,15,15,21,21,19,19,21,21,34,23,23,44,44,27,27,34,44,44,
31,31,44,44,47,51,51,59,61,61,61,61,71,71,79,79,79,79,85,85,71,71,69,69,71,71,
79,79,75,75,85,85,79,79,91,91,93,93,97,97,97,97,107,107,107,120,120,127,127,
140,140,144,144,144,144,150,150,150,150,183,160,160,164,164,176,173,173,171,
171,183,205,205,208,208,199,199,216,216,220,220,224,224,228,228,232,232,232,
232,236,236,255,255,259,259,271,271,281,281,289,289,291,291,305,305,317,317,
325,325],[1,4,1,4,5,8,5,8,9,12,9,12,13,13,1,4,1,4,1,4,1,4,23,26,23,26,27,27,29
,29,31,34,31,34,35,35,35,38,38,40,43,40,43,44,47,44,47,48,48,48,51,54,51,54,55
,55,57,57,59,59,61,64,61,64,5,8,5,8,5,8,9,12,9,12,5,8,5,8,9,12,9,12,13,13,9,12
,9,12,13,13,13,13,93,96,93,96,97,100,97,100,101,101,103,106,103,106,107,107,
109,109,111,114,111,114,115,115,115,118,118,120,123,120,123,124,124,124,127,
130,127,130,131,131,131,134,134,136,139,136,139,21,22,21,22,21,22,146,149,146,
149,150,153,150,153,154,157,154,157,154,157,27,27,27,27,27,27,29,29,29,29,29,
23,26,31,34,31,34,35,35,35,31,34,31,34,35,35,35,40,43,40,43,55,55,38,38,40,43,
40,43,51,54,51,54,51,54,44,47,44,47,48,48,48,57,57,57,57,216,219,216,219,220,
223,220,223,224,227,224,227,61,64,61,64,61,64,61,64,236,236,238,238,238,241,
244,241,244,245,245,245,248,251,248,251,252,252,252,259,262,259,262,255,258,
255,258,77,76,77,76,77,76,75,78,85,88,85,88,275,278,275,278,275,278,281,284,
281,284,285,288,285,288,93,96,97,100,97,100,295,298,295,298,295,298,101,101,
103,106,107,107,111,114,111,114,115,115,115,314,317,314,317,318,318,318,321,
324,321,324,150,153,150,153,146,149,146,149,154,157,154,157,154,157,339,342,
339,342,339,342,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,
360,345,346,345,346,347,348,345,346,347,348,347,348,373,374,375,376,377,378,
379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,349,350,351,
352,349,350,349,350,351,352,353,354,355,356,355,356,353,354,355,356,357,358,
359,360,419,420,421,422,423,424,425,426,427,428,429,430,431,367,368,367,368,
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24,25,24,25,26,26,26,27,28,27,28,29,29,30,30,31,31,32,33,32,33,34,35,34,
35,36,37,38,39,38,39,40,41,40,41,42,43,42,43,44,44,45,46,45,46,47,48,49,
50,51,52,51,52,53,54,53,54,55,55,56,57,56,57,58,58,59,59,60,61,60,61,62,
62,62,63,63,64,65,64,65,66,66,66,67,68,67,68,69,69,69,70,70,71,72,71,72,
73,74,73,74,75,76,77,78,77,78,79,80,79,80,81,82,81,82,81,82,83,83,84,84,
85,86,87,87,88,88,88,89,90,91,92,91,92,93,93,93,94,95,94,95,96,96,96,97,
98,97,98,99,99,100,100,101,102,101,102,103,104,105,106,107,108,109,110,
109,110,111,111,111,112,112,113,113,114,115,114,115,116,117,116,117,118,
119,118,119,120,121,120,121,122,123,122,123,124,124,125,125,125,126,127,
126,127,128,128,128,129,130,129,130,131,131,131,132,133,132,133,134,135,
134,135,136,137,136,137,136,137,138,139,140,141,140,141,142,143,142,143,
142,143,144,145,144,145,146,147,146,147,148,149,150,151,150,151,152,153,
152,153,152,153,154,155,156,157,158,158,159,160,159,160,161,161,161,162,
163,162,163,164,164,164,165,166,165,166,167,168,167,168,169,170,169,170,
171,172,171,172,171,172,173,174,173,174,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,
217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320]);

MOT("(2^2x3).2E6(2)",
[
"constructed using `PossibleCharacterTablesOfTypeV4G'"
],
[918389756205298247270400,918389756205298247270400,918389756205298247270400,
918389756205298247270400,918389756205298247270400,918389756205298247270400,
918389756205298247270400,918389756205298247270400,918389756205298247270400,
918389756205298247270400,918389756205298247270400,918389756205298247270400,
231445823257313280,231445823257313280,231445823257313280,231445823257313280,
231445823257313280,231445823257313280,231445823257313280,231445823257313280,
231445823257313280,231445823257313280,231445823257313280,231445823257313280,
292229574819840,292229574819840,292229574819840,292229574819840,
292229574819840,292229574819840,292229574819840,292229574819840,
292229574819840,292229574819840,292229574819840,292229574819840,173946175488,
173946175488,173946175488,331085905920,331085905920,331085905920,331085905920,
331085905920,331085905920,331085905920,331085905920,331085905920,331085905920,
331085905920,331085905920,6270566400,6270566400,6270566400,6270566400,40310784
,40310784,40310784,40310784,507343011840,507343011840,507343011840,
507343011840,507343011840,507343011840,507343011840,507343011840,507343011840,
507343011840,507343011840,507343011840,97844723712,97844723712,97844723712,
5435817984,5435817984,5435817984,4756340736,4756340736,4756340736,4756340736,
4756340736,4756340736,4756340736,4756340736,4756340736,4756340736,4756340736,
4756340736,4756340736,4756340736,4756340736,4756340736,4756340736,4756340736,
301989888,301989888,301989888,283115520,283115520,283115520,283115520,
283115520,283115520,283115520,283115520,283115520,283115520,283115520,
283115520,75497472,75497472,75497472,75497472,75497472,75497472,75497472,
75497472,75497472,75497472,75497472,75497472,75497472,75497472,75497472,
75497472,75497472,75497472,56623104,56623104,56623104,56623104,56623104,
56623104,56623104,56623104,56623104,56623104,56623104,56623104,4718592,4718592
,4718592,2359296,2359296,2359296,1572864,1572864,1572864,1209600,1209600,
1209600,1209600,1209600,1209600,1209600,1209600,1209600,1209600,1209600,
1209600,477757440,477757440,477757440,477757440,477757440,477757440,477757440,
477757440,477757440,477757440,477757440,477757440,3981312,3981312,3981312,
3981312,5308416,5308416,5308416,5308416,5308416,5308416,5308416,5308416,
5308416,5308416,5308416,5308416,4478976,4478976,4478976,4478976,4478976,
4478976,4478976,4478976,4478976,4478976,4478976,4478976,1658880,1658880,
1658880,1658880,1658880,1658880,1658880,1658880,1658880,1658880,1658880,
1658880,331776,331776,331776,497664,497664,497664,497664,497664,497664,497664,
497664,497664,497664,497664,497664,110592,110592,110592,110592,55296,55296,
55296,55296,1693440,1693440,1693440,1693440,1693440,1693440,1693440,1693440,
1693440,1693440,1693440,1693440,14112,14112,14112,14112,14112,14112,14112,
14112,14112,14112,14112,14112,442368,442368,442368,1769472,1769472,1769472,
1769472,1769472,1769472,1769472,1769472,1769472,1769472,1769472,1769472,294912
,294912,294912,98304,98304,98304,73728,73728,73728,73728,73728,73728,73728,
73728,73728,73728,73728,73728,73728,73728,73728,73728,73728,73728,24576,24576,
24576,49152,49152,49152,49152,49152,49152,49152,49152,49152,49152,49152,49152,
49152,49152,49152,49152,49152,49152,49152,49152,49152,49152,49152,49152,49152,
49152,49152,49152,49152,49152,49152,49152,49152,49152,49152,49152,3072,3072,
3072,12288,12288,12288,12288,12288,12288,12288,12288,12288,12288,12288,12288,
3888,3888,3888,3888,3888,3888,3888,3888,3888,3888,3888,3888,648,648,648,648,
11520,11520,11520,11520,11520,11520,11520,11520,11520,11520,11520,11520,5760,
5760,5760,5760,5760,5760,5760,5760,5760,5760,5760,5760,792,792,792,792,792,792
,792,792,792,792,792,792,792,792,792,792,792,792,792,792,792,792,792,792,
497664,497664,497664,186624,186624,186624,165888,165888,165888,165888,55296,
55296,55296,20736,20736,20736,20736,20736,20736,18432,18432,18432,18432,27648,
27648,27648,27648,27648,27648,27648,27648,27648,27648,27648,27648,27648,27648,
27648,27648,27648,27648,20736,20736,20736,20736,20736,20736,20736,20736,20736,
20736,20736,20736,20736,20736,20736,20736,20736,20736,27648,27648,27648,27648,
27648,27648,27648,27648,27648,27648,27648,27648,2304,2304,2304,2304,2304,2304,
6912,6912,6912,6912,6912,6912,6912,6912,6912,6912,6912,6912,2304,2304,2304,
2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,
2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,
2304,576,576,576,576,576,576,156,156,156,156,156,156,156,156,156,156,156,156,
5376,5376,5376,5376,5376,5376,5376,5376,5376,5376,5376,5376,672,672,672,672,
672,672,672,672,672,672,672,672,10800,10800,10800,10800,10800,10800,10800,
10800,10800,10800,10800,10800,1080,1080,1080,1080,1080,1080,1080,1080,1080,
1080,1080,1080,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768
,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,
768,768,768,768,768,768,768,768,768,768,204,204,204,204,204,204,204,204,204,
204,204,204,204,204,204,204,204,204,204,204,204,204,204,204,1296,1296,1296,
1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,
1296,1296,1296,1296,1296,1296,216,216,216,216,432,432,432,432,432,432,432,432,
432,432,432,432,228,228,228,228,228,228,228,228,228,228,228,228,228,228,228,
228,228,228,228,228,228,228,228,228,960,960,960,960,960,960,960,960,960,960,
960,960,480,480,480,480,480,480,480,480,480,480,480,480,252,252,252,252,252,
252,252,252,252,252,252,252,252,252,252,252,264,264,264,264,264,264,264,264,
264,264,264,264,264,264,264,264,264,264,264,264,264,264,264,264,1152,1152,1152
,1152,1152,1152,1152,1152,576,576,576,576,576,576,576,576,576,576,576,576,576,
576,576,576,576,576,576,576,576,672,672,672,672,672,672,672,672,672,672,672,
--> --------------------

--> maximum size reached

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