Spracherkennung für: .tbl vermutete Sprache: Unknown {[0] [0] [0]} [Methode: Schwerpunktbildung, einfache Gewichte, sechs Dimensionen]
#############################################################################
##
#W ctomisc3.tbl GAP table library Thomas Breuer
##
## This file contains the ordinary character tables of miscellaneous
## CAS tables (alphabetical order, 'p1l62' to 'p2l72', and 'p3l62', 'p3l72')
##
#H ctbllib history
#H ---------------
#H $Log: ctomisc3.tbl,v $
#H Revision 4.11 2012/04/23 16:16:14 gap
#H next step of consolidation:
#H
#H - removed a few unnecessary duplicate tables,
#H and changed some related fusions, names of maxes, table constructions
#H - make sure that duplicate tables arise only via `ConstructPermuted'
#H constructions
#H - added some relative names
#H - added fusions A11.2 -> A12.2, L2(11).2 -> A12.2, D8x2F4(2)'.2 -> B,
#H L2(41) -> M, (A5xA12):2 -> A17,
#H - added maxes of A12.2, L6(2), 2.M22.2
#H - added table of QD16.2,
#H - fixed the syntax of two `ALN' calls
#H TB
#H
#H Revision 4.10 2012/01/30 08:31:58 gap
#H removed #H entries from the headers
#H TB
#H
#H Revision 4.9 2012/01/26 11:03:40 gap
#H renamed "P1L72" to "2^6:L6(2)", "P2L72" to "2^10:(L5(2)xS3)",
#H "P3L72" to "2^12:(L4(2)xL3(2))"
#H TB
#H
#H Revision 4.8 2011/09/28 14:32:22 gap
#H removed revision entry and SET_TABLEFILENAME call
#H TB
#H
#H Revision 4.7 2009/04/22 12:39:06 gap
#H added missing maxes of He.2, ON.2, HN.2, Fi24, and B
#H TB
#H
#H Revision 4.6 2002/10/22 12:44:12 gap
#H added 215 factor fusions for cases <tbl> -> <tbl> / O_{<p>}(<tbl>)
#H (they make it possible to construct <p>-modular Brauer tables
#H for tables of the type [p^n].<fact> where the <p>-modular Brauer table
#H of <fact> is in the library)
#H TB
#H
#H Revision 4.5 2002/09/18 15:22:01 gap
#H changed the `text' components of many fusions,
#H in order to use them as a status information (for evaluation)
#H TB
#H
#H Revision 4.4 2002/07/17 15:25:32 gap
#H added missing table automorphisms
#H TB
#H
#H Revision 4.3 2001/05/04 16:48:59 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/ctomisc3.tbl,v
#H Working file: ctomisc3.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: 4; selected revisions: 4
#H description:
#H ----------------------------
#H revision 4.2
#H date: 1999/07/14 11:39:40; author: gap; state: Exp; lines: +4 -3
#H cosmetic changes for the release ...
#H
#H TB
#H ----------------------------
#H revision 4.1
#H date: 1997/07/17 15:44:18; author: fceller; state: Exp; lines: +2 -2
#H for version 4
#H ----------------------------
#H revision 1.2
#H date: 1996/12/09 17:10:39; author: sam; state: Exp; lines: +55 -3
#H added missing power maps for 'P1L82'
#H ----------------------------
#H revision 1.1
#H date: 1996/10/21 16:00:29; author: sam; state: Exp;
#H first proposal of the table library
#H ==========================================================================
##
MOT("P1L62",
[
"origin: CAS library,\n",
"tests: 1.o.r., pow[2,3,5,7,31]"
],
0,
0,
0,
0,
["ConstructPermuted",["2^5:L5(2)"],(9,24,27,22,31,42,34,18,11,20,15,14,13,12,
21,17,10,25,26,28,23,32,43,35,29,37,39,44,36,30,38,40,45,41,33,19,16)(48,52)
(50,51),(2,3,4,5,6,7,13,16,15,14,17,18,19,20,21,22,23,24,25,26,27,28,35)(8,10)
(9,11)(29,49,38,43,45)(30,40,42,36,50,48,39,46,44,37,47,33,31,34)(51,52)]);
ALF("P1L62","L5(2)",[1,1,2,2,2,3,3,3,7,7,7,6,6,6,8,8,8,14,14,5,5,11,11,4,
4,10,10,10,15,15,9,9,18,18,19,19,12,12,16,16,20,13,13,17,17,21,22,27,24,
26,25,23]);
MOT("2^6:L6(2)",
[
"origin: CAS library,\n",
"constructions: AGL(6,2),",
"tests: 1.o.r., pow[2,3,5,7,31]"
],
[1290157424640,20478689280,330301440,22020096,20643840,2359296,786432,196608,
688128,98304,688128,98304,86016,16384,16384,8192,4096,6144,2048,6144,2048,
1536,1024,1024,512,256,256,128,64,64,4320,1440,720,720,288,96,48,48,967680,
64512,4608,1536,1152,1152,384,192,192,96,48,48,360,120,60,60,360,120,60,60,
360,120,60,60,9408,1344,224,224,112,56,56,42,42,9408,1344,224,224,112,56,56,
42,42,62,62,62,62,62,62,62,62,62,62,62,62,181440,45,45,63,63,63,63,63,63,63,
63,63,3528,3528,56,56,45,576,48,49],
[,[1,1,1,1,2,1,1,2,1,2,3,3,4,3,3,4,4,6,7,6,6,8,6,7,8,14,14,16,18,19,31,31,31,
32,31,31,31,32,39,39,39,39,40,39,40,41,41,42,44,45,51,51,51,52,55,55,55,56,59,
59,59,60,63,63,63,63,64,65,66,70,70,72,72,72,72,73,74,75,79,79,81,81,83,83,85,
85,87,87,89,89,91,91,93,94,95,96,97,98,99,100,101,102,103,104,105,106,105,106,
109,93,110,112],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,29,30,1,2,3,5,6,7,9,10,1,2,3,4,5,6,8,11,12,13,20,22,51,52,53,
54,51,52,53,54,51,52,53,54,72,73,74,75,76,77,78,72,73,63,64,65,66,67,68,69,63,
64,83,84,85,86,91,92,89,90,81,82,87,88,1,51,51,106,105,93,97,97,97,96,96,96,
106,105,108,107,51,6,18,112],,[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,
45,46,47,48,49,50,1,2,3,5,31,32,33,34,31,32,33,34,72,73,74,75,76,77,78,79,80,
63,64,65,66,67,68,69,70,71,85,86,91,92,87,88,81,82,83,84,89,90,93,93,93,97,96,
98,102,103,104,101,99,100,106,105,108,107,39,110,111,112],,[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,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,59,60,61,62,55,56,57,
58,1,2,3,4,5,11,13,39,40,1,2,3,4,5,11,13,39,40,87,88,89,90,81,82,85,86,91,92,
83,84,93,95,94,93,93,98,98,98,98,98,98,98,1,1,9,9,109,110,111,
1],,,,,,,,,,,,,,,,,,,,,,,,[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,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,72,73,74,75,76,77,78,79,80,63,
64,65,66,67,68,69,70,71,1,2,1,2,1,2,1,2,1,2,1,2,93,94,95,97,96,98,104,102,103,
100,101,99,106,105,108,107,109,110,111,112]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[62,62,
30,30,30,14,14,14,6,6,14,14,14,6,6,6,6,2,2,6,6,6,2,2,2,2,2,2,0,0,2,2,0,0,2,2,
0,0,14,14,6,6,6,2,2,2,2,2,0,0,2,2,0,0,2,2,0,0,2,2,0,0,6,6,2,2,2,0,0,0,0,6,6,2,
2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1],[4185,4185,345,345,345,-39,-39,-39,-39,-39,25,25,25,-7,-7,
-7,-7,9,9,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,45,45,-3,-3,-3,-3,-3,1,1,1,1,
1,0,0,0,0,0,0,0,0,0,0,0,0,-2*E(7)-2*E(7)^2-3*E(7)^3-2*E(7)^4-3*E(7)^5-3*E(7)^6
,-2*E(7)-2*E(7)^2-3*E(7)^3-2*E(7)^4-3*E(7)^5-3*E(7)^6,2*E(7)+2*E(7)^2+E(7)^3
+2*E(7)^4+E(7)^5+E(7)^6,2*E(7)+2*E(7)^2+E(7)^3+2*E(7)^4+E(7)^5+E(7)^6,
2*E(7)+2*E(7)^2+E(7)^3+2*E(7)^4+E(7)^5+E(7)^6,-E(7)^3-E(7)^5-E(7)^6,
-E(7)^3-E(7)^5-E(7)^6,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,-3*E(7)-3*E(7)^2
-2*E(7)^3-3*E(7)^4-2*E(7)^5-2*E(7)^6,-3*E(7)-3*E(7)^2-2*E(7)^3-3*E(7)^4
-2*E(7)^5-2*E(7)^6,E(7)+E(7)^2+2*E(7)^3+E(7)^4+2*E(7)^5+2*E(7)^6,
E(7)+E(7)^2+2*E(7)^3+E(7)^4+2*E(7)^5+2*E(7)^6,E(7)+E(7)^2+2*E(7)^3+E(7)^4
+2*E(7)^5+2*E(7)^6,-E(7)-E(7)^2-E(7)^4,-E(7)-E(7)^2-E(7)^4,
E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,9*E(7)+9*E(7)^2+9*E(7)^4,9*E(7)^3+9*E(7)^5+9*E(7)^6,
E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,0,0,0,-1],
[GALOIS,[3,3]],[12555,12555,-405,-405,-405,27,27,27,51,51,27,27,27,-13,-13,
-13,-13,15,15,3,3,3,-1,-1,-1,-1,-1,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-3,1,1,1,-1,-1,0,0,-3,-3,1,1,1,-1,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,18,18,2,2,0,0,0,-3],[19845,19845,
-315,-315,-315,-27,-27,-27,21,21,21,21,21,5,5,5,5,-3,-3,-3,-3,-3,-3,-3,-3,1,1,
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,E(31)^3+E(31)^6+E(31)^12+E(31)^17+E(31)^24,
E(31)^3+E(31)^6+E(31)^12+E(31)^17+E(31)^24,E(31)^5+E(31)^9+E(31)^10+E(31)^18
+E(31)^20,E(31)^5+E(31)^9+E(31)^10+E(31)^18+E(31)^20,E(31)^15+E(31)^23
+E(31)^27+E(31)^29+E(31)^30,E(31)^15+E(31)^23+E(31)^27+E(31)^29+E(31)^30,
E(31)^11+E(31)^13+E(31)^21+E(31)^22+E(31)^26,E(31)^11+E(31)^13+E(31)^21
+E(31)^22+E(31)^26,E(31)+E(31)^2+E(31)^4+E(31)^8+E(31)^16,
E(31)+E(31)^2+E(31)^4+E(31)^8+E(31)^16,E(31)^7+E(31)^14+E(31)^19+E(31)^25
+E(31)^28,E(31)^7+E(31)^14+E(31)^19+E(31)^25+E(31)^28,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0],
[GALOIS,[6,3]],
[GALOIS,[6,5]],
[GALOIS,[6,15]],
[GALOIS,[6,7]],
[GALOIS,[6,11]],[25110,25110,630,630,630,-90,-90,-90,-66,-66,6,6,6,-2,-2,-2,
-2,-6,-6,6,6,6,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,9*E(7)+9*E(7)^2+3*E(7)^3+9*E(7)^4+3*E(7)^5+3*E(7)^6,
9*E(7)+9*E(7)^2+3*E(7)^3+9*E(7)^4+3*E(7)^5+3*E(7)^6,E(7)+E(7)^2-E(7)^3+E(7)^4
-E(7)^5-E(7)^6,E(7)+E(7)^2-E(7)^3+E(7)^4-E(7)^5-E(7)^6,E(7)+E(7)^2-E(7)^3
+E(7)^4-E(7)^5-E(7)^6,-1,-1,0,0,3*E(7)+3*E(7)^2+9*E(7)^3+3*E(7)^4+9*E(7)^5
+9*E(7)^6,3*E(7)+3*E(7)^2+9*E(7)^3+3*E(7)^4+9*E(7)^5+9*E(7)^6,
-E(7)-E(7)^2+E(7)^3-E(7)^4+E(7)^5+E(7)^6,-E(7)-E(7)^2+E(7)^3-E(7)^4+E(7)^5
+E(7)^6,-E(7)-E(7)^2+E(7)^3-E(7)^4+E(7)^5+E(7)^6,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
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-9*E(7)^6,-E(7)-E(7)^2-E(7)^4,-E(7)^3-E(7)^5-E(7)^6,0,0,0,1],
[GALOIS,[12,3]],[29295,29295,-465,-465,-465,15,15,15,63,63,-17,-17,-17,-1,-1,
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7*E(7)+7*E(7)^2+7*E(7)^4,-E(7)-E(7)^2-E(7)^4,-E(7)-E(7)^2-E(7)^4,
-E(7)-E(7)^2-E(7)^4,-E(7)-E(7)^2-E(7)^4,-E(7)-E(7)^2-E(7)^4,E(7)+E(7)^2+E(7)^4
,E(7)+E(7)^2+E(7)^4,7*E(7)^3+7*E(7)^5+7*E(7)^6,7*E(7)^3+7*E(7)^5+7*E(7)^6,
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0,0,0,0],
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[GALOIS,[16,3]],[6480,6480,720,720,720,144,144,144,48,48,48,48,48,16,16,16,16,
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1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,-9,-9,-1,-1,0,0,0,-2],[588,588,140,140,140,44,
44,44,28,28,28,28,28,12,12,12,12,4,4,4,4,4,4,4,4,0,0,0,0,0,3,3,5,5,-1,-1,1,1,
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0,0,0,1,5,1,0],[744,744,104,104,104,40,40,40,8,8,8,8,8,8,8,8,8,8,8,0,0,0,0,0,
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0,0,0,0,0,-21,-1,-1,0,0,0,0,0,0,0,0,0,9,9,1,1,-1,-5,-1,2],[1240,1240,280,280,
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[GALOIS,[96,3]],
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0],
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[GALOIS,[110,3]],
[GALOIS,[108,3]]],
[(81,83,85,91,87,89)(82,84,86,92,88,90),(81,89,87,91,85,83)(82,90,88,92,86,84
),( 63, 72)( 64, 73)( 65, 74)( 66, 75)( 67, 76)( 68, 77)( 69, 78)( 70, 79)
( 71, 80)( 96, 97)( 99,102,101,104,100,103)(105,106)(107,108),(55,59)(56,60)
(57,61)(58,62)(94,95),( 55, 59)( 56, 60)( 57, 61)( 58, 62)( 94, 95)
( 99,100,101)(102,103,104),( 99,101,100)(102,104,103)]);
ALF("2^6:L6(2)","L7(2)",[1,2,2,3,5,3,4,6,4,7,5,6,8,6,7,9,10,9,11,8,10,12,
10,11,13,12,13,14,14,15,16,17,17,18,19,20,20,21,22,23,23,24,25,24,26,25,26,
27,27,28,29,30,30,31,32,33,33,34,35,36,36,37,38,39,39,40,41,41,42,43,44,45,
46,46,47,48,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83],[
"fusion map is unique up to table automorphisms,\n",
"equal to the map on the CAS table"
]);
ALF("2^6:L6(2)","L6(2)",[1,1,2,2,2,3,3,3,4,4,8,8,8,9,9,9,9,10,10,11,11,11,
12,12,12,25,25,25,26,26,7,7,16,16,18,18,19,19,6,6,15,15,15,17,17,30,30,30,
31,31,13,13,28,28,36,36,47,47,37,37,48,48,22,22,34,34,34,45,45,43,43,23,23,
35,35,35,46,46,44,44,49,49,54,54,51,51,53,53,52,52,50,50,5,39,40,41,42,27,
55,57,59,58,60,56,20,21,32,33,38,14,29,24]);
ALN("2^6:L6(2)",["AGL(6,2)","P1L72"]);
MOT("P1L82",
[
"origin: CAS library,\n",
"constructions: AGL(7,2)"
],
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2113929216,301989888,88080384,88080384,88080384,6291456,660602880,44040192,
41287680,3145728,1048576,786432,393216,786432,262144,196608,1376256,196608,
172032,196608,196608,32768,32768,32768,16384,8192,8192,8192,4096,12288,4096,
3072,2048,2048,1024,512,512,256,128,128,241920,34560,5760,5760,2880,1440,1440,
16128,2304,384,384,192,96,96,959938560,30965760,1032192,147456,129024,36864,
36864,6144,9216,3072,2304,1536,1536,768,384,384,192,96,96,20160,2880,480,480,
240,120,120,20160,2880,480,480,240,120,120,20160,2880,480,480,240,120,120,
2257920,150528,10752,3584,2688,2688,896,448,448,224,112,112,504,168,84,84,
2257920,150528,10752,3584,2688,2688,896,448,448,224,112,112,504,168,84,84,744,
248,124,124,744,248,124,124,744,248,124,124,744,248,124,124,744,248,124,124,
744,248,124,124,362880,362880,90,90,90,90,126,126,126,126,126,126,126,126,126,
126,126,126,126,126,126,126,126,126,7056,7056,7056,7056,112,112,112,112,90,90,
1152,1152,96,96,98,98,1260,1260,93,93,93,93,93,93,105,105,105,105,105,105,84,
84,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127],
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15,17,15,16,17,25,25,27,32,33,46,46,46,46,47,48,49,46,46,46,46,47,48,49,60,60,
60,60,61,60,60,61,62,62,63,62,63,63,65,65,67,71,72,79,79,79,79,80,81,82,86,86,
86,86,87,88,89,93,93,93,93,94,95,96,100,100,100,100,101,100,101,102,102,103,
105,106,112,112,112,113,116,116,116,116,117,116,117,118,118,119,121,122,128,
128,128,129,132,132,132,133,136,136,136,137,140,140,140,141,144,144,144,145,
148,148,148,149,152,152,152,153,156,156,158,158,160,160,162,162,164,164,166,
166,168,168,170,170,172,172,174,174,176,176,178,178,180,180,182,182,180,180,
182,182,188,188,156,156,190,190,194,194,196,197,198,199,200,201,202,203,204,
205,206,207,208,209,196,197,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,228,229],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,1,
2,3,4,5,12,14,6,7,9,10,11,19,21,1,2,3,4,5,6,7,8,12,13,14,15,17,18,22,23,24,35,
37,79,80,81,82,83,84,85,79,80,81,82,83,84,85,79,80,81,82,83,84,85,116,117,118,
119,120,121,122,123,124,125,126,127,116,117,118,120,100,101,102,103,104,105,
106,107,108,109,110,111,100,101,102,104,136,137,138,139,140,141,142,143,152,
153,154,155,148,149,150,151,132,133,134,135,144,145,146,147,1,2,79,80,79,80,
182,183,180,181,156,157,164,165,164,165,164,165,162,163,162,163,162,163,182,
183,180,181,186,187,184,185,79,80,6,7,25,26,194,195,116,100,136,140,152,148,
132,144,205,204,205,205,204,204,121,105,213,216,219,221,223,214,224,226,222,
228,217,218,227,229,212,215,225,220],,[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,
69,70,71,72,73,74,75,76,77,78,1,2,3,4,5,12,14,46,47,48,49,50,51,52,46,47,48,
49,50,51,52,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,140,141,142,
143,152,153,154,155,144,145,146,147,132,133,134,135,136,137,138,139,148,149,
150,151,156,157,156,157,156,157,164,165,162,163,166,167,174,175,176,177,178,
179,172,173,168,169,170,171,182,183,180,181,186,187,184,185,60,61,190,191,192,
193,194,195,197,196,200,203,201,198,199,202,116,100,197,197,196,196,211,210,
214,219,220,218,226,229,213,222,228,224,225,212,216,215,217,223,227,221],,[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,
82,83,84,85,93,94,95,96,97,98,99,86,87,88,89,90,91,92,1,2,3,4,5,6,8,12,13,14,
22,24,60,61,62,64,1,2,3,4,5,6,8,12,13,14,22,24,60,61,62,64,144,145,146,147,
148,149,150,151,132,133,134,135,140,141,142,143,152,153,154,155,136,137,138,
139,156,157,160,161,158,159,156,157,156,157,166,167,166,167,166,167,166,167,
166,167,166,167,166,167,1,2,1,2,9,10,9,10,188,189,190,191,192,193,1,2,46,46,
201,202,198,200,203,199,79,79,93,86,93,86,53,53,215,221,218,217,228,223,229,
224,213,214,216,225,220,226,227,222,219,212],,,,,,,,,,,,,,,,,,,,,,,,[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,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,116,117,118,119,120,121,122,
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[GALOIS,[219,3]]],
[(168,170,172)(169,171,173)(174,176,178)(175,177,179),(168,172,170)(169,173,
171)(174,178,176)(175,179,177),(132,136,140,152,144,148)(133,137,141,153,145,
149)(134,138,142,154,146,150)(135,139,143,155,147,151)(198,199,200,203,201,
202),(100,116)(101,117)(102,118)(103,119)(104,120)(105,121)(106,122)(107,123)
(108,124)(109,125)(110,126)(111,127)(112,128)(113,129)(114,130)(115,131)(162,
164)(163,165)(168,174,172,178,170,176)(169,175,173,179,171,177)(180,182)(181,
183)(184,186)(185,187)(196,197)(204,205)(206,208)(207,209)(210,211),(86,93)
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226)]);
ALF("P1L82","L7(2)",[1,1,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,6,7,7,7,8,8,8,9,9,9,
10,10,10,10,11,11,11,12,12,12,13,13,13,14,14,14,15,15,16,16,17,17,17,18,
18,19,19,20,20,20,21,21,22,22,23,23,23,24,24,24,25,25,25,26,26,26,27,27,
27,28,28,29,29,30,30,30,31,31,32,32,33,33,33,34,34,35,35,36,36,36,37,37,
38,38,39,39,39,40,40,41,41,41,42,42,43,43,44,44,45,45,46,46,46,47,47,48,
48,48,49,49,50,50,51,51,52,52,53,53,54,54,55,55,56,56,57,57,58,58,59,59,
60,60,61,61,62,62,63,63,64,64,65,65,66,66,67,67,68,68,69,69,70,70,71,71,
72,72,73,73,74,74,75,75,76,76,77,77,78,78,79,79,80,80,81,81,82,82,83,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117],[
"factor fusion equal to that on the CAS table"
]);
ALN("P1L82",["AGL(7,2)"]);
MOT("P2L62",
[
"origin: CAS library,\n",
"tests: 1.o.r., pow[2,3,5,7]"
],
[30965760,688128,147456,645120,43008,73728,12288,8192,6144,2048,6144,6144,
1024,768,9216,1536,1024,3072,1024,256,192,64,64,64,32,1536,512,256,256,256,
256,256,256,64,60480,576,288,48,24,30,30,30,28,28,28,28,360,144,48,90,45,90,
90,45,45,168,56,21,168,56,21,1080,8640,576,1728,288,192,216,72,72,144,48,144,
48,72,24,48,48,24,24],
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35,35,35,36,37,50,52,53,56,57,59,60,62,65,67,50,51,52,53,54,55,56,56,58,59,59,
61,62,63,63,65,65,65,68,68,62,63,64,65,67,68,68,65,67,66,62],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
1,6,15,26,21,40,40,40,45,46,43,44,4,4,5,50,50,50,50,50,50,59,60,59,56,57,56,1,
1,3,1,3,2,1,3,15,15,16,6,9,6,7,11,12,14,18],,[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,
4,47,47,45,46,43,44,47,48,49,1,35,62,62,63,63,59,60,61,56,57,58,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80],,[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,
40,42,41,4,5,4,5,47,48,49,50,51,53,52,55,54,1,2,35,1,2,35,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80]],
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1],
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[GALOIS,[44,3]],
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0],
[TENSOR,[77,2]],
[TENSOR,[76,2]],[2520,-168,24,0,0,-72,24,-8,24,-8,0,0,0,0,24,8,-8,0,0,0,0,0,0,
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[(43,45)(44,46)(56,59)(57,60)(58,61),(41,42)(52,53)(54,55)]);
ALF("P2L62","L6(2)",[1,2,3,2,8,2,4,3,8,9,3,8,9,11,3,10,9,4,9,12,11,25,12,
25,26,8,9,11,12,9,11,10,12,25,6,15,17,30,31,28,47,48,34,45,35,46,16,15,30,
13,38,36,37,39,40,22,34,43,23,35,44,7,5,14,6,17,15,7,18,18,14,29,15,30,16,
19,17,30,31,19],[
"fusion is unique up to table automorphisms,\n",
"the representative is equal to the fusion map on the CAS table"
]);
ALN("P2L62",["2^8:(A8xS3)"]);
MOT("2^10:(L5(2)xS3)",
[
"origin: CAS library,\n",
"tests: 1.o.r., pow[2,3,5,7,31]"
],
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126,186,186,186,186,186,186,29998080,64512,4608,384,1152,96,48,8640,576,144,
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93,93,639959040,20643840,1376256,1376256,98304,86016,98304,32768,24576,4096,
4096,4096,2048,1024,512,12288,12288,4096,4096,1536,512,512,512,512,128,128,
128,64,720,720,48,48,8064,1152,384,384,192,96,96,96,48,60,60,60,60,60,60,336,
112,112,112,56,42,336,112,112,112,56,42,62,62,62,62,62,62],
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153,147,148,149,150,151,147,160,161,164,163,159,162],,[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,1,2,29,30,29,30,54,55,56,57,58,59,48,49,50,51,52,53,62,65,63,
60,61,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,66,73,73,90,91,92,
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111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,100,101,128,129,128,129,153,154,
155,156,157,158,147,148,149,150,151,152,161,164,162,159,160,163],,[1,2,3,4,5,
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33,34,35,36,37,38,39,40,41,42,43,46,47,44,45,1,2,3,4,7,33,1,2,3,4,7,33,63,64,
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74,75,76,77,78,79,80,81,82,83,84,85,90,91,92,93,86,87,88,89,66,66,66,66,66,66,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
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[TENSOR,[4,2]],[60,60,60,28,28,28,28,28,12,12,12,12,12,4,4,4,4,12,12,12,12,12,
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[( 60, 61, 62, 65, 63, 64)( 94, 95, 96, 99, 97, 98)(159,160,161,164,162,163),
( 48, 54)( 49, 55)( 50, 56)( 51, 57)( 52, 58)( 53, 59)( 86, 90)( 87, 91)
( 88, 92)( 89, 93)(147,153)(148,154)(149,155)(150,156)(151,157)(152,158),
( 44, 46)( 45, 47)( 84, 85)(143,145)(144,146),( 60, 64, 63, 65, 62, 61)
( 94, 98, 97, 99, 96, 95)(159,163,162,164,161,160)]);
ALF("2^10:(L5(2)xS3)","L7(2)",[1,2,3,2,3,4,5,6,3,4,6,7,9,6,9,10,11,5,6,7,
8,10,8,10,12,13,12,14,16,17,19,20,22,23,24,23,24,25,26,25,27,29,30,32,33,
35,36,38,39,40,39,41,43,45,46,47,46,48,50,52,54,56,58,60,62,22,23,24,26,
25,27,28,64,81,81,82,16,19,17,20,18,21,80,65,66,43,44,84,98,50,51,85,99,
86,87,88,89,90,91,2,5,3,5,6,8,4,6,7,10,7,9,10,11,13,6,8,9,10,12,10,12,11,
13,14,13,14,15,17,18,20,21,23,25,24,25,26,27,26,27,28,30,31,33,34,36,37,
39,41,40,41,42,44,46,48,47,48,49,51,53,55,57,59,61,63],[
"fusion is unique up to table automorphisms,\n",
"the representative is equal to the fusion map on the CAS table"
]);
ALN("2^10:(L5(2)xS3)",["P2L72"]);
MOT("P3L62",
[
"origin: CAS library,\n",
"tests: 1.o.r., pow[2,3,7]"
],
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128,64,128,128,64,32,4032,576,4032,576,1176,1176,1176,1176,21,21,21,21,49,49,
392,56,392,56,56,56,56,56,28,28,28,28,96,96,48,96,96,48,24,24,24,24,72,72,24,
24],
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13,16,19,38,38,40,40,42,43,44,45,46,47,48,49,50,51,52,52,54,54,42,43,44,45,56,
57,58,59,38,38,39,40,40,41,64,65,67,68,74,74,74,74],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
1,2,1,2,43,42,45,44,43,42,45,44,51,50,54,55,52,53,57,56,59,58,61,60,63,62,9,
10,11,5,6,7,24,25,22,23,1,2,3,4],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
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1,1,1,40,40,38,38,1,1,1,4,1,4,9,9,5,5,24,24,22,22,64,65,66,67,68,69,70,71,72,
73,74,75,76,77]],
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1],[7,7,7,7,7,7,7,7,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,7,7,-1,-1,-1,-1,-1,
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-1,-1,-1,-1,-1,-1,-1,3,3,1,1,-1,-1,-1,-1,1,1,1,1,1,1,1,1,3,3,0,0,3,3,
E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,0,0,E(7)+E(7)^2+E(7)^4,
E(7)^3+E(7)^5+E(7)^6,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,-1,-1,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,1,1,
E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,-1,-1,-1,0,0,0,1,1,0,0,0,0,0,0],
[GALOIS,[3,3]],[6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,0,0,2,2,2,2,0,0,
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2,2,2,0,0,0,0,0,0,0,0,0,0,0],[8,8,8,8,8,8,8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,0,
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1,1,0,0,0,-1,-1,-1,0,0,-1,-1,-1,-1,-1,-1],[7,7,7,7,-1,-1,-1,-1,7,7,7,7,-1,-1,
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1],[3,3,3,3,-1,-1,-1,-1,3,3,3,3,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,3,3,1,1,1,1,-1,
-1,-1,-1,1,1,1,1,0,0,3,3,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,3,3,
E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,0,0,E(7)^3+E(7)^5+E(7)^6,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,-1,-1,
E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,1,1,0,0,0,-1,-1,-1,0,0,1,1,0,0,0,0],
[GALOIS,[8,3]],[6,6,6,6,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,0,0,6,6,0,0,0,0,2,2,
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0,0,0,2,2,2,0,0,0,0,0,0,0,0],[8,8,8,8,0,0,0,0,8,8,8,8,0,0,0,0,0,0,0,0,0,0,0,8,
8,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,8,8,1,1,8,8,1,1,-1,-1,1,1,1,1,1,1,1,1,0,0,1,1,
0,0,-1,-1,-1,0,0,0,-1,-1,0,0,-1,-1,-1,-1],[49,49,49,49,-7,-7,-7,-7,-7,-7,-7,
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0,0,0,1,1,0,0,0,0,0,0],[9,9,9,9,-3,-3,-3,-3,-3,-3,-3,-3,1,1,1,1,1,1,1,1,1,3,3,
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E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9,9,9,9,
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1,1,0,0,0,0,3*E(7)^3+3*E(7)^5+3*E(7)^6,3*E(7)+3*E(7)^2+3*E(7)^4,
3*E(7)+3*E(7)^2+3*E(7)^4,3*E(7)^3+3*E(7)^5+3*E(7)^6,0,0,0,0,
E(7)+E(7)^2+2*E(7)^3+E(7)^4+2*E(7)^5+2*E(7)^6,2*E(7)+2*E(7)^2+E(7)^3+2*E(7)^4
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E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,0,0,0,0,0,0,0,0,0,
0,0,0,0,0],[18,18,18,18,6,6,6,6,-6,-6,-6,-6,-2,-2,-2,-2,-2,-2,-2,-2,-2,0,0,6,
6,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,-3,-3,6*E(7)+6*E(7)^2+6*E(7)^4,
6*E(7)^3+6*E(7)^5+6*E(7)^6,0,0,0,0,-E(7)-E(7)^2-E(7)^4,-E(7)^3-E(7)^5-E(7)^6,
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-E(7)^3-E(7)^5-E(7)^6,1,1,2*E(7)+2*E(7)^2+2*E(7)^4,2*E(7)^3+2*E(7)^5+2*E(7)^6,
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-E(7)^3-E(7)^5-E(7)^6,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,-1,-1,0,0,1,1,0,0,1,1,1,0,0,0,-1,-1,0,0,0,0,0,0],
[GALOIS,[17,3]],
[GALOIS,[19,3]],
[GALOIS,[18,3]],
[GALOIS,[20,3]],
[GALOIS,[21,3]],[42,42,42,42,-6,-6,-6,-6,14,14,14,14,-2,-2,-2,-2,-2,-2,-2,-2,
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0,0,0,0,1,1,0,0,1,1,2,2,2,0,0,0,0,0,0,0,0,0,0,0],[18,18,18,18,-6,-6,-6,-6,6,6,
6,6,-2,-2,-2,-2,-2,-2,-2,-2,-2,6,6,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,
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-E(7)^3-E(7)^5-E(7)^6,-E(7)-E(7)^2-E(7)^4,-E(7)-E(7)^2-E(7)^4,
-E(7)-E(7)^2-E(7)^4,-E(7)^3-E(7)^5-E(7)^6,-E(7)^3-E(7)^5-E(7)^6,
2*E(7)+2*E(7)^2+2*E(7)^4,2*E(7)^3+2*E(7)^5+2*E(7)^6,1,1,0,0,-1,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0],
[GALOIS,[28,3]],[36,36,36,36,12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,4,4,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[48,48,48,48,0,0,0,0,16,16,16,16,0,0,0,0,
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0,0,0,0,0,0,0,0,-3,-3,8*E(7)+8*E(7)^2+8*E(7)^4,8*E(7)^3+8*E(7)^5+8*E(7)^6,3,3,
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E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,0,0,-1,-1,0,0,1,1,0,0,0,1,1,1,0,0,-1,-1,0,0,0,0],
[GALOIS,[33,3]],[48,48,48,48,16,16,16,16,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,-2,-2,-2,0,0,0,0,0,0,0,0],[64,64,64,64,0,0,0,0,0,0,0,0,0,0,0,0,0,
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1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1],[168,-24,8,-8,0,0,0,0,0,0,
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[GALOIS,[39,3]],[1008,-144,48,-48,0,0,0,0,0,0,0,0,16,-16,-16,16,0,0,0,0,0,0,0,
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0],[882,18,-30,42,-42,6,6,-2,-42,6,6,-2,-6,2,10,18,-6,-6,6,2,-2,0,0,0,0,4,-4,
0,0,4,-4,0,0,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0],[294,6,-10,14,42,-6,-6,2,42,-6,-6,2,14,6,-2,-10,-2,
-2,2,-2,2,0,0,0,0,4,-4,0,0,4,-4,0,0,2,2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,-1,-1],[882,18,-30,42,126,-18,-18,
6,-42,6,6,-2,-14,-6,2,10,2,2,-2,2,-2,0,0,0,0,-4,4,0,0,4,-4,0,0,2,2,-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],[
882,18,-30,42,-42,6,6,-2,126,-18,-18,6,-14,-6,2,10,2,2,-2,2,-2,0,0,0,0,4,-4,0,
0,-4,4,0,0,2,2,-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],[294,6,-10,14,42,-6,-6,2,42,-6,-6,2,-2,-10,14,6,-2,-2,
2,-2,2,0,0,0,0,-4,4,0,0,-4,4,0,0,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,-1,-1],[882,18,-30,42,126,-18,-18,6,
-42,6,6,-2,2,10,-14,-6,2,2,-2,2,-2,0,0,0,0,4,-4,0,0,-4,4,0,0,-2,-2,2,0,0,0,0,
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],[
588,12,-20,28,84,-12,-12,4,84,-12,-12,4,12,-4,12,-4,-4,-4,4,-4,4,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-3,-3,1,1],[882,18,-30,42,-42,6,6,-2,126,-18,-18,6,2,10,-14,-6,
2,2,-2,2,-2,0,0,0,0,-4,4,0,0,4,-4,0,0,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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],[49,17,1,-7,-7,9,-7,1,21,5,
5,-3,-3,5,-3,5,-3,5,1,-3,1,-7,1,7,-1,-3,-3,1,1,-1,-1,3,-1,-1,-1,-1,1,7,-1,7,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,-1,-1,-1,3,-1,1,-1,-1,1,1,-1,
1,-1],[147,51,3,-21,-21,27,-21,3,-21,-5,-5,3,3,-5,3,-5,3,-5,-1,3,-1,-21,3,7,
-1,3,3,-1,-1,-1,-1,3,-1,-1,-1,-1,1,21,-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,-3,1,1,0,0,0,1,-1,0,0,0,0,0,0],[98,34,2,-14,-14,18,-14,2,14,14,-2,
-2,-2,-2,-2,-2,-2,6,6,-2,-2,-14,2,0,0,-2,-2,-2,2,0,0,0,0,0,0,0,0,14,-2,-7,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,-2,1,-3,1,0,0,1,-1,-1,1,-1,1],[
147,51,3,-21,7,-9,7,-1,63,15,15,-9,3,-5,3,-5,3,-5,-1,3,-1,-7,1,21,-3,-3,-3,1,
1,1,1,-3,1,-1,-1,-1,1,0,0,21,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,-3,1,0,0,-1,1,0,0,0,0],[147,51,3,-21,63,15,15,-9,7,-9,7,-1,3,-5,3,-5,-5,
3,-1,3,-1,21,-3,-7,1,1,1,-3,1,-3,-3,1,1,-1,-1,-1,1,21,-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,-3,1,0,0,0,-1,1,0,0,0,0,0,0],[49,17,1,-7,21,5,5,
-3,-7,9,-7,1,-3,5,-3,5,5,-3,1,-3,1,7,-1,-7,1,-1,-1,3,-1,-3,-3,1,1,-1,-1,-1,1,
7,-1,7,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,3,-1,3,-1,-1,-1,1,1,
-1,1,-1,1,-1],[98,34,2,-14,42,10,10,-6,14,14,-2,-2,6,6,6,6,6,-2,-2,-2,-2,14,
-2,0,0,2,2,2,-2,0,0,0,0,0,0,0,0,14,-2,-7,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,2,2,-2,-3,1,1,0,0,-1,1,-1,1,-1,1],[98,34,2,-14,14,14,-2,-2,42,10,10,
-6,6,6,6,6,-2,6,-2,-2,-2,0,0,14,-2,0,0,0,0,2,2,2,-2,0,0,0,0,-7,1,14,-2,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,1,1,2,2,-2,-1,1,0,0,-1,1,-1,1],[882,
18,-30,42,-42,6,6,-2,-42,6,6,-2,10,18,-6,2,-6,-6,6,2,-2,0,0,0,0,-4,4,0,0,-4,4,
0,0,2,2,-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],[196,68,4,-28,28,28,-4,-4,28,28,-4,-4,4,4,4,4,4,4,4,-4,-4,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-14,2,-14,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-2,-2,2,-2,-2,2,0,0,0,0,1,-1,1,-1],[294,102,6,-42,42,42,-6,-6,14,-18,
14,-2,2,2,2,2,-6,2,-6,2,2,0,0,-14,2,0,0,0,0,-2,-2,-2,2,0,0,0,0,-21,3,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,3,-1,0,0,0,1,-1,0,0,0,0,0,0],[147,
51,3,-21,-21,-5,-5,3,-21,27,-21,3,3,-5,3,-5,-5,3,-1,3,-1,7,-1,-21,3,-1,-1,3,
-1,3,3,-1,-1,-1,-1,-1,1,0,0,21,-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,-3,1,1,0,0,1,-1,0,0,0,0],[98,34,2,-14,14,14,-2,-2,-14,18,-14,2,-2,-2,-2,
-2,6,-2,6,-2,-2,0,0,-14,2,0,0,0,0,-2,-2,-2,2,0,0,0,0,-7,1,14,-2,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-3,1,2,2,-2,1,-1,0,0,-1,1,-1,1],[294,102,6,
-42,42,42,-6,-6,-42,-10,-10,6,-6,-6,-6,-6,2,-6,2,2,2,0,0,14,-2,0,0,0,0,2,2,2,
-2,0,0,0,0,-21,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,-1,-1,0,0,
0,-1,1,0,0,0,0,0,0],[441,153,9,-63,21,-27,21,-3,21,-27,21,-3,1,-7,1,-7,1,1,5,
1,-3,-21,3,-21,3,-1,-1,3,-1,-1,-1,3,-1,1,1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[441,153,9,-63,-63,-15,-15,
9,21,-27,21,-3,-3,5,-3,5,5,-3,1,-3,1,21,-3,-21,3,1,1,-3,1,3,3,-1,-1,-1,-1,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0],[441,153,9,-63,21,-27,21,-3,-63,-15,-15,9,-3,5,-3,5,-3,5,1,-3,1,-21,3,21,
-3,3,3,-1,-1,1,1,-3,1,-1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[441,153,9,-63,-63,-15,-15,9,-63,-15,-15,
9,9,1,9,1,1,1,-3,1,-3,21,-3,21,-3,-3,-3,1,1,-3,-3,1,1,1,1,1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[294,102,6,
-42,14,-18,14,-2,42,42,-6,-6,2,2,2,2,2,-6,-6,2,2,-14,2,0,0,-2,-2,-2,2,0,0,0,0,
0,0,0,0,0,0,-21,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,3,-1,0,
0,1,-1,0,0,0,0],[1764,36,-60,84,-84,12,12,-4,-84,12,12,-4,4,-12,4,-12,4,4,-4,
-4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[294,102,6,-42,-42,-10,-10,6,42,42,
-6,-6,-6,-6,-6,-6,-6,2,2,2,2,14,-2,0,0,2,2,2,-2,0,0,0,0,0,0,0,0,0,0,-21,3,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,-1,-1,0,0,-1,1,0,0,0,0]],
[(42,43)(44,45)(46,47)(48,49)(50,51)(52,54)(53,55)(56,57)(58,59)(60,61)
(62,63),( 5, 9)( 6,10)( 7,11)( 8,12)(17,18)(22,24)(23,25)(26,30)(27,31)(28,32)
(29,33)(38,40)(39,41)(42,44)(43,45)(46,48)(47,49)(50,51)(56,58)(57,59)(60,62)
(61,63)(64,67)(65,68)(66,69)(70,72)(71,73)]);
ALF("P3L62","L6(2)",[1,2,3,4,2,3,8,9,2,3,8,9,3,4,8,9,9,9,10,11,12,8,11,8,
11,9,11,12,25,9,11,12,25,10,12,25,26,6,15,6,15,22,23,22,23,43,44,43,44,24,
24,20,32,21,33,34,35,34,35,45,46,45,46,15,17,30,15,17,30,30,31,30,31,7,16,
18,19],[
"fusion is unique up to table automorphisms,\n",
"the representative is equal to the fusion map on the CAS table"
]);
ALN("P3L62",["2^9:(L3(2)xL3(2))"]);
MOT("2^12:(L4(2)xL3(2))",
[
"origin: CAS library,\n",
"tests: 1.o.r., pow[2,3,5,7]"
],
[13872660480,132120576,9437184,5505024,16515072,786432,393216,589824,65536,
98304,1032192,49152,24576,30240,193536,9216,4608,172032,24576,12288,4096,
10752,1536,2520,2016,8064,1152,9408,1344,9408,1344,2520,2520,41287680,2752512,
1376256,196608,196608,65536,196608,65536,16384,16384,24576,8192,12288,4096,
49152,16384,2048,8192,2048,8192,1440,2304,768,384,384,4096,4096,1024,4096,
4096,2048,2048,1024,512,512,512,512,256,128,120,96,384,384,192,96,224,224,112,
224,224,112,120,120,1290240,86016,12288,12288,2048,1536,6144,2048,512,720,288,
96,1024,1024,512,512,512,128,256,256,128,64,60,48,96,96,48,56,56,56,56,60,60,
967680,64512,4608,1536,1152,1152,384,8640,576,864,288,288,96,192,192,96,48,48,
45,144,48,144,48,144,48,42,42,42,42,45,45,141120,1344,672,1260,126,112,56,105,
84,42,392,56,49,105,105,141120,1344,672,1260,126,112,56,105,84,42,49,392,56,
105,105],
[,[1,1,1,1,1,1,1,2,2,2,1,2,3,14,15,15,15,5,5,6,6,11,12,24,14,15,16,28,28,30,
30,32,33,1,1,2,2,1,1,2,2,2,2,2,3,3,3,1,2,3,2,4,3,14,15,15,16,16,5,6,6,5,6,6,6,
7,9,9,11,12,12,13,24,14,15,16,16,17,28,28,29,30,30,31,32,33,34,35,34,35,35,37,
34,35,37,54,55,56,38,38,41,39,41,45,48,49,53,52,73,54,55,56,58,79,80,82,83,85,
86,120,120,120,120,121,120,121,127,127,129,129,129,129,122,122,123,125,126,
138,127,128,129,129,131,131,145,145,147,147,149,150,151,151,151,154,155,152,
153,158,154,155,161,161,163,164,165,166,166,166,169,170,167,168,173,169,170,
176,177,177,179,180],[1,2,3,4,5,6,7,8,9,10,11,12,13,1,1,2,3,18,19,20,21,22,23,
24,11,5,8,30,31,28,29,24,24,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,34,34,35,36,37,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,48,38,
40,44,46,82,83,84,79,80,81,73,73,87,88,89,90,91,92,93,94,95,87,87,88,99,100,
101,102,103,104,105,106,107,108,109,93,89,90,92,116,117,114,115,109,109,1,2,5,
6,8,11,12,1,3,1,3,2,4,18,19,20,22,23,24,11,13,5,7,8,10,30,31,28,29,24,24,166,
167,168,166,166,171,172,173,168,167,177,178,176,173,173,151,152,153,151,151,
156,157,158,153,152,163,161,162,158,158],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,1,25,26,27,30,31,28,29,14,14,34,35,36,37,38,39,40,
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,
67,68,69,70,71,72,34,74,75,76,77,78,82,83,84,79,80,81,54,54,87,88,89,90,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,87,110,111,112,113,
116,117,114,115,96,96,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,120,139,140,141,142,143,144,147,148,145,146,127,127,166,167,
168,169,170,171,172,166,174,175,177,178,176,169,169,151,152,153,154,155,156,
157,151,159,160,163,161,162,154,154],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,1,2,1,2,33,32,34,35,36,37,38,39,40,41,42,43,
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,
70,71,72,73,74,75,76,77,78,34,35,36,34,35,36,86,85,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,87,88,87,
88,119,118,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,120,121,120,121,150,149,1,5,11,14,15,18,
22,24,25,26,1,4,1,33,32,1,5,11,14,15,18,22,24,25,26,1,1,4,33,32]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,
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E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,
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0,0,0],[52920,-3528,504,-168,-504,72,-24,72,-24,24,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-144,48,144,-48,0,0,0,0,0,0,24,-8,0,-8,0,8,0,0,0,
0,0,8,-8,0,-8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,8,-8,0,0,0,0,-4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0]],
[( 32, 33)( 85, 86)(118,119)(149,150)(164,165)(179,180),( 28, 30)( 29, 31)
( 79, 82)( 80, 83)( 81, 84)(114,116)(115,117)(145,147)(146,148)(151,166)
(152,167)(153,168)(154,169)(155,170)(156,171)(157,172)(158,173)(159,174)
(160,175)(161,177)(162,178)(163,176)(164,179)(165,180)]);
ALF("2^12:(L4(2)xL3(2))","L7(2)",[1,2,3,4,2,3,4,5,6,7,3,6,9,16,22,23,24,5,
6,8,10,8,12,29,19,23,25,38,39,45,46,32,35,2,3,5,6,3,4,5,6,7,6,6,9,8,10,4,
6,10,7,11,9,17,23,24,25,26,6,8,10,7,10,9,10,11,12,13,10,12,13,14,30,20,24,
25,26,27,39,40,41,46,47,48,33,36,5,8,6,8,10,12,7,10,13,18,25,27,9,10,12,
11,13,14,11,13,14,15,31,21,26,27,28,41,42,48,49,34,37,22,23,23,24,25,24,
26,64,81,16,19,17,20,25,26,27,27,28,80,81,82,17,20,18,21,43,44,50,51,65,
66,38,39,40,84,43,41,42,92,98,44,76,78,83,94,95,45,46,47,85,50,48,49,93,
99,51,83,77,79,96,97]);
ALN("2^12:(L4(2)xL3(2))",["P3L72"]);
LIBTABLE.LOADSTATUS.ctomisc3:="userloaded";
#############################################################################
##
#E
