File: ctomisc3.tbl

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#############################################################################
##
#W  ctomisc3.tbl                GAP table library               Thomas Breuer
##
#H  @(#)$Id: ctomisc3.tbl,v 4.6 2002/10/22 12:44:12 gap Exp $
##
#Y  Copyright (C)  1996,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the ordinary character tables of miscellaneous
##  CAS tables (alphabetical order, 'p1l62' to 'p2l72', and 'p3l62', 'p3l72')
##
Revision.ctomisc3_tbl :=
    "@(#)$Id: ctomisc3.tbl,v 4.6 2002/10/22 12:44:12 gap Exp $";

SET_TABLEFILENAME("ctomisc3");
ALN:= Ignore;

MOT("P1L62",
[
"origin: CAS library,\n",
"tests: 1.o.r., pow[2,3,5,7,31]"
],
[319979520,10321920,344064,49152,43008,12288,12288,2048,512,512,256,3072,1024,
768,128,128,64,32,32,360,360,24,24,4032,576,96,96,48,24,24,30,30,30,30,30,30,
168,56,28,28,21,168,56,28,28,21,31,31,31,31,31,31],
[,[1,1,1,1,2,1,1,2,3,4,4,3,3,4,6,6,8,9,10,20,20,20,20,24,24,24,24,25,26,27,31,
31,33,33,35,35,37,37,37,38,41,42,42,42,43,46,47,48,49,50,51,52],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,15,16,17,18,19,1,2,6,7,1,2,3,4,5,12,14,31,32,31,32,31,32,
42,43,44,45,42,37,38,39,40,37,48,49,52,51,47,50],,[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,1,2,20,21,20,21,42,43,
44,45,46,37,38,39,40,41,49,52,50,47,48,51],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,35,36,33,34,1,2,3,5,24,
1,2,3,5,24,50,51,47,49,52,48],,,,,,,,,,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,42,
43,44,45,46,37,38,39,40,41,1,1,1,1,1,1]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[31,-1,15,-1,-1,7,-1,-1,3,-1,-1,7,-1,-1,3,-1,-1,
1,-1,1,-1,1,-1,7,-1,3,-1,-1,1,-1,1,-1,1,-1,1,-1,3,-1,1,-1,0,3,-1,1,-1,0,0,0,0,
0,0,0],[30,30,14,14,14,6,6,6,2,2,2,6,6,6,2,2,2,0,0,0,0,0,0,6,6,2,2,2,0,0,0,0,
0,0,0,0,2,2,0,0,-1,2,2,0,0,-1,-1,-1,-1,-1,-1,-1],[124,124,28,28,28,12,12,12,4,
4,4,4,4,4,0,0,0,0,0,4,4,0,0,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-2,-2,0,0,1,-2,-2,
0,0,1,0,0,0,0,0,0],[155,155,27,27,27,-5,-5,-5,-5,-5,-5,3,3,3,-1,-1,-1,-1,-1,5,
5,1,1,8,8,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,-1,1,1,1,-1,-1,1,0,0,0,0,0,0],[217,217,
-7,-7,-7,9,9,9,1,1,1,-7,-7,-7,1,1,1,1,1,4,4,0,0,7,7,-1,-1,-1,-1,-1,2,2,-1,-1,
-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[280,280,56,56,56,8,8,8,0,0,0,8,8,8,0,
0,0,0,0,-5,-5,-1,-1,7,7,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,
1,1,1],[315,315,-21,-21,-21,3,3,3,-1,-1,-1,3,3,3,-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,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)^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)+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],
[GALOIS,[8,3]],
[GALOIS,[8,5]],
[GALOIS,[8,15]],
[GALOIS,[8,7]],
[GALOIS,[8,11]],[465,465,17,17,17,-15,-15,-15,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,3,
3,-1,-1,-1,1,1,0,0,0,0,0,0,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)^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,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,0,0,0,0,0,0],
[GALOIS,[14,3]],[465,465,-31,-31,-31,9,9,9,-3,-3,-3,1,1,1,1,1,1,-1,-1,0,0,0,0,
3,3,-1,-1,-1,1,1,0,0,0,0,0,0,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)^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,
-E(7)^3-E(7)^5-E(7)^6,E(7)^3+E(7)^5+E(7)^6,0,0,0,0,0,0],
[GALOIS,[16,3]],[496,496,48,48,48,16,16,16,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,-8,
-8,0,0,0,0,0,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0],[651,651,
-21,-21,-21,-5,-5,-5,3,3,3,3,3,3,-1,-1,-1,-1,-1,6,6,-2,-2,0,0,0,0,0,0,0,1,1,1,
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[651,651,-21,-21,-21,-5,-5,-5,3,3,3,3,
3,3,-1,-1,-1,-1,-1,-3,-3,1,1,0,0,0,0,0,0,0,1,1,-E(15)^7-E(15)^11-E(15)^13
 -E(15)^14,-E(15)^7-E(15)^11-E(15)^13-E(15)^14,-E(15)-E(15)^2-E(15)^4-E(15)^8,
-E(15)-E(15)^2-E(15)^4-E(15)^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[GALOIS,[20,7]],[868,868,-28,-28,-28,4,4,4,4,4,4,-4,-4,-4,0,0,0,0,0,1,1,1,1,7,
7,-1,-1,-1,-1,-1,-2,-2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[930,930,50,
50,50,-6,-6,-6,-2,-2,-2,-6,-6,-6,-2,-2,-2,0,0,0,0,0,0,6,6,2,2,2,0,0,0,0,0,0,0,
0,-1,-1,1,1,-1,-1,-1,1,1,-1,0,0,0,0,0,0],[930,930,-14,-14,-14,-6,-6,-6,-2,-2,
-2,2,2,2,2,2,2,0,0,0,0,0,0,-3,-3,1,1,1,-1,-1,0,0,0,0,0,0,
2*E(7)+2*E(7)^2+2*E(7)^4,2*E(7)+2*E(7)^2+2*E(7)^4,0,0,-E(7)-E(7)^2-E(7)^4,
2*E(7)^3+2*E(7)^5+2*E(7)^6,2*E(7)^3+2*E(7)^5+2*E(7)^6,0,0,
-E(7)^3-E(7)^5-E(7)^6,0,0,0,0,0,0],
[GALOIS,[24,3]],[960,960,64,64,64,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,-6,
-2,-2,-2,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1],[1024,1024,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,0,0,-8,-8,0,0,0,0,0,-1,-1,-1,-1,-1,-1,2,2,
0,0,-1,2,2,0,0,-1,1,1,1,1,1,1],[1240,1240,-8,-8,-8,8,8,8,0,0,0,-8,-8,-8,0,0,0,
0,0,-5,-5,-1,-1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,-1,-1,1,1,1,-1,-1,1,0,0,0,0,0,
0],[9765,-315,-315,21,21,21,-3,-3,-3,1,1,21,-3,-3,-3,1,1,1,-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],[434,-14,98,2,-14,26,10,-6,
6,-2,-2,18,2,-6,2,2,-2,0,0,-1,1,-1,1,14,-2,2,2,-2,0,0,-1,1,-1,1,-1,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0],[465,-15,97,-15,1,9,-15,1,-3,1,1,17,-7,1,1,-3,1,-1,1,
0,0,0,0,21,-3,1,-3,1,-1,1,0,0,0,0,0,0,3,-1,-1,1,0,3,-1,-1,1,0,0,0,0,0,0,0],[
1984,-64,64,64,-64,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,-4,0,0,-14,2,-2,-2,2,0,0,-1,
1,-1,1,-1,1,3,-1,1,-1,0,3,-1,1,-1,0,0,0,0,0,0,0],[217,-7,-7,9,-7,9,-15,1,1,5,
-3,-7,1,1,1,-3,1,1,-1,4,-4,0,0,7,-1,-1,3,-1,-1,1,2,-2,-1,1,-1,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0],[620,-20,76,12,-20,28,-4,-4,4,4,-4,4,4,-4,0,0,0,0,0,5,-5,1,
-1,-7,1,1,-3,1,1,-1,0,0,0,0,0,0,-3,1,-1,1,0,-3,1,-1,1,0,0,0,0,0,0,0],[2790,
-90,246,-42,6,30,-18,-2,2,-6,2,6,-10,6,-2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-3,1,1,-1,0,-3,1,1,-1,0,0,0,0,0,0,0],[3255,-105,7,-9,7,15,39,-9,3,-1,
-1,-25,-1,7,-1,3,-1,1,-1,0,0,0,0,21,-3,1,-3,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0],[3255,-105,-105,7,7,39,-33,-1,-1,-5,3,-17,7,-1,3,-1,-1,-1,
1,0,0,0,0,21,-3,-3,1,1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[
1395,-45,-45,3,3,3,27,-5,-5,7,-1,3,-5,3,3,-1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,3*E(7)+3*E(7)^2+3*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)^4,0,3*E(7)^3+3*E(7)^5+3*E(7)^6,-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)^6,0,0,0,0,0,0,0],
[GALOIS,[38,3]],[3720,-120,104,-24,8,24,24,-8,0,0,0,-8,-8,8,0,0,0,0,0,0,0,0,0,
-21,3,-1,3,-1,1,-1,0,0,0,0,0,0,3,-1,-1,1,0,3,-1,-1,1,0,0,0,0,0,0,0],[1395,-45,
3,51,-45,-21,3,3,-1,-5,3,3,-5,3,3,-1,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,3*E(7)+3*E(7)^2+3*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)^4,0,3*E(7)^3+3*E(7)^5+3*E(7)^6,-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)^6,0,0,0,0,0,0,0],
[GALOIS,[41,3]],[2170,-70,42,74,-70,2,-14,2,-2,6,-2,-14,2,2,-2,-2,2,0,0,-5,5,
-1,1,7,-1,3,-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],[868,-28,
-28,36,-28,4,-28,4,4,4,-4,-4,-4,4,0,0,0,0,0,1,-1,1,-1,7,-1,-1,3,-1,-1,1,-2,2,
1,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[9765,-315,21,-27,21,-51,21,5,9,-3,
-3,-3,5,-3,1,-3,1,-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],[6510,-210,126,-34,14,6,-42,6,-6,2,2,-10,6,-2,2,2,-2,0,0,0,0,0,0,
-21,3,3,-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],[3255,-105,
231,-41,7,-33,-9,7,-5,7,-1,7,-1,-1,-1,3,-1,1,-1,0,0,0,0,21,-3,-3,1,1,1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[651,-21,-21,27,-21,-5,-13,3,3,-1,-1,
3,-5,3,-1,3,-1,-1,1,6,-6,-2,2,0,0,0,0,0,0,0,1,-1,1,-1,1,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0],[1736,-56,168,40,-56,24,24,-8,0,0,0,8,8,-8,0,0,0,0,0,-4,4,0,0,
-7,1,-3,1,1,-1,1,1,-1,1,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[1085,-35,77,
29,-35,-11,29,-3,-7,-3,5,-3,5,-3,-3,1,1,-1,1,5,-5,1,-1,14,-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],[651,-21,-21,27,-21,-5,-13,3,3,-1,-1,3,
-5,3,-1,3,-1,-1,1,-3,3,1,-1,0,0,0,0,0,0,0,1,-1,-E(15)^7-E(15)^11-E(15)^13
 -E(15)^14,E(15)^7+E(15)^11+E(15)^13+E(15)^14,-E(15)-E(15)^2-E(15)^4-E(15)^8,
E(15)+E(15)^2+E(15)^4+E(15)^8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[GALOIS,[51,7]]],
[(47,48,49,52,50,51),(37,42)(38,43)(39,44)(40,45)(41,46),(33,35)(34,36),
(47,51,50,52,49,48)]);
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("P1L72",
[
"origin: CAS library,\n",
"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,
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E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,3,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)^3+E(7)^5+E(7)^6,E(7)+E(7)^2+9*E(7)^3+E(7)^4+9*E(7)^5
 +9*E(7)^6,9*E(7)+9*E(7)^2+E(7)^3+9*E(7)^4+E(7)^5+E(7)^6,-1,-1,0,-3,1,2],[
9765,9765,-315,-315,-315,21,21,21,-3,-3,21,21,21,-3,-3,-3,-3,1,1,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-90,0,0,
-2*E(7)^3-2*E(7)^5-2*E(7)^6,-2*E(7)-2*E(7)^2-2*E(7)^4,3,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,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)+7*E(7)^2+7*E(7)^4,-E(7)^3-E(7)^5-E(7)^6,-E(7)-E(7)^2-E(7)^4,0,6,-2,0],
[GALOIS,[107,3]],[11160,11160,-360,-360,-360,24,24,24,24,24,24,24,24,-8,-8,-8,
-8,8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,3*E(7)+3*E(7)^2+3*E(7)^4,3*E(7)+3*E(7)^2+3*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)^4,0,0,3*E(7)^3+3*E(7)^5+3*E(7)^6,3*E(7)^3+3*E(7)^5+3*E(7)^6
 ,-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,
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,-45,0,0,
-E(7)-E(7)^2-E(7)^4,-E(7)^3-E(7)^5-E(7)^6,-3,-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)^3-E(7)^5-E(7)^6,8*E(7)+8*E(7)^2+9*E(7)^3+8*E(7)^4
 +9*E(7)^5+9*E(7)^6,9*E(7)+9*E(7)^2+8*E(7)^3+9*E(7)^4+8*E(7)^5+8*E(7)^6,
E(7)^3+E(7)^5+E(7)^6,E(7)+E(7)^2+E(7)^4,0,3,-1,2],
[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("P1L72","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("P1L72","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]);

MOT("P1L82",
[
"origin: CAS library,"
],
[20972799094947840,165140150353920,1310636113920,42278584320,40957378560,
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],
[,[1,1,1,1,2,1,1,2,1,1,2,3,3,4,3,3,4,4,3,4,4,6,6,8,6,6,7,6,6,7,8,9,10,11,15,
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,
123,124,125,126,127,128,129,130,131,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,1,2,3,5,1,2,3,5,1,2,3,5,1,2,3,5,1,2,3,5,1,2,3,5,156,
157,158,159,160,161,164,165,162,163,166,167,178,179,174,175,176,177,170,171,
172,173,168,169,182,183,180,181,186,187,184,185,188,189,190,191,192,193,194,
195,197,196,60,60,60,60,60,60,205,204,208,209,206,207,211,210,225,229,215,226,
220,227,217,221,218,212,224,222,214,216,228,219,213,
223],,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
,,,,,,,,,,,,,,,,,,,,,,[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,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,124,125,126,127,128,129,130,131,136,137,138,139,140,141,
142,143,152,153,154,155,148,149,150,151,132,133,134,135,144,145,146,147,156,
157,160,161,158,159,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,199,200,203,202,198,201,204,205,207,206,209,208,210,211,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[126,
126,62,62,62,30,30,30,14,14,14,30,30,30,14,14,14,14,6,6,6,14,14,14,6,6,6,6,6,
6,6,2,2,2,6,6,6,2,2,2,2,2,2,0,0,6,6,2,2,2,0,0,6,6,2,2,2,0,0,30,30,14,14,14,6,
6,6,6,6,6,2,2,2,2,2,2,0,0,6,6,2,2,2,0,0,6,6,2,2,2,0,0,6,6,2,2,2,0,0,14,14,6,6,
6,2,2,2,2,2,0,0,2,2,0,0,14,14,6,6,6,2,2,2,2,2,0,0,2,2,0,0,2,2,0,0,2,2,0,0,2,2,
0,0,2,2,0,0,2,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1],[2540,2540,620,620,620,
172,172,172,76,76,76,140,140,140,44,44,44,44,28,28,28,28,28,28,12,12,12,12,12,
12,12,4,4,4,4,4,4,4,4,4,0,0,0,0,0,5,5,5,5,5,5,5,1,1,1,1,1,1,1,125,125,29,29,
29,13,13,13,5,5,5,5,5,5,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
20,20,4,4,4,4,4,0,0,0,0,0,-1,-1,1,1,20,20,4,4,4,4,4,0,0,0,0,0,-1,-1,1,1,-2,-2,
0,0,-2,-2,0,0,-2,-2,0,0,-2,-2,0,0,-2,-2,0,0,-2,-2,0,0,20,20,0,0,0,0,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,4,4,
0,0,-1,-1,5,5,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0],[2667,2667,619,619,619,107,107,107,-21,-21,-21,139,139,139,11,11,11,11,-21,
-21,-21,27,27,27,-5,-5,-5,-5,-5,-5,-5,-5,-5,-5,3,3,3,-5,-5,-5,-1,-1,-1,-1,-1,
12,12,4,4,4,4,4,8,8,0,0,0,0,0,156,156,28,28,28,-4,-4,-4,4,4,4,-4,-4,-4,0,0,0,
0,0,7,7,-1,-1,-1,-1,-1,7,7,-1,-1,-1,-1,-1,7,7,-1,-1,-1,-1,-1,35,35,3,3,3,-5,
-5,-1,-1,-1,-1,-1,2,2,0,0,35,35,3,3,3,-5,-5,-1,-1,-1,-1,-1,2,2,0,0,1,1,-1,-1,
1,1,-1,-1,1,1,-1,-1,1,1,-1,-1,1,1,-1,-1,1,1,-1,-1,21,21,1,1,1,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,5,5,1,1,0,0,5,5,1,1,1,1,1,1,0,0,0,0,
0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[5208,5208,1240,1240,1240,280,
280,280,56,56,56,280,280,280,56,56,56,56,8,8,8,56,56,56,8,8,8,8,8,8,8,0,0,0,8,
8,8,0,0,0,0,0,0,0,0,3,3,-5,-5,-5,-5,-5,7,7,-1,-1,-1,-1,-1,279,279,55,55,55,7,
7,7,7,7,7,-1,-1,-1,-1,-1,-1,-1,-1,8,8,0,0,0,0,0,8,8,0,0,0,0,0,8,8,0,0,0,0,0,
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[GALOIS,[226,3]],
[GALOIS,[220,3]],
[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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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"
]);

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],
[,[1,1,1,1,2,1,1,1,2,2,1,2,2,3,1,3,2,1,2,3,15,17,15,17,16,6,6,8,8,6,8,8,8,10,
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,
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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],
[TENSOR,[72,2]],[1260,-84,12,0,0,-36,12,-4,12,-4,0,0,0,0,12,4,-4,-24,8,0,0,0,
0,0,0,0,0,0,0,4,-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,
0,0,45,-3,0,0,0,0,0,0,-3,1,0,0,0,0,0,0,0,0],
[TENSOR,[74,2]],[1890,-126,18,0,0,90,18,-22,-6,2,24,-24,0,0,-18,-6,6,12,-4,0,
0,0,-2,2,0,-6,2,2,-2,0,0,-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],[1890,-126,18,0,0,-54,-30,26,
-6,2,-24,24,0,0,-18,-6,6,12,-4,0,0,0,-2,2,0,6,-2,-2,2,4,-4,0,0,0,0,0,0,0,0,0,
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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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-45,3,0,0,0,0,0,0,3,-1,0,0,0,0,0,0,0,0]],
[(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"
]);

MOT("P2L72",
[
"origin: CAS library,\n",
"tests: 1.o.r., pow[2,3,5,7,31]"
],
[61436067840,660602880,66060288,33030144,1572864,786432,1376256,196608,589824,
196608,32768,32768,24576,12288,4096,2048,2048,147456,16384,24576,12288,4096,
3072,1024,512,512,384,128,4320,1440,288,96,193536,9216,4608,2304,768,384,384,
288,96,360,120,360,120,360,120,4032,448,672,336,112,126,4032,448,672,336,112,
126,186,186,186,186,186,186,29998080,64512,4608,384,1152,96,48,8640,576,144,
48,6048,2016,288,96,144,48,45,45,45,126,42,252,84,126,42,252,84,93,93,93,93,
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],
[,[1,1,1,1,1,1,2,2,1,1,2,2,3,4,5,5,6,4,4,4,5,5,9,9,11,11,14,15,29,29,29,29,33,
33,33,33,33,34,34,36,37,42,42,44,44,46,46,48,48,48,48,49,53,54,54,54,54,55,59,
60,61,62,63,64,65,66,66,66,67,67,68,69,73,73,73,74,77,77,77,77,79,79,83,84,85,
86,86,88,88,90,90,92,92,94,95,96,97,98,99,1,2,1,2,2,3,1,2,2,3,4,5,5,6,8,4,5,5,
5,8,9,11,10,11,13,14,15,17,29,30,29,30,33,34,33,34,34,35,36,37,39,42,43,44,45,
46,47,48,49,48,49,50,53,54,55,54,55,56,59,60,61,62,63,64,65],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,9,10,1,2,3,4,5,
7,8,18,21,42,43,42,43,42,43,54,55,56,57,58,54,48,49,50,51,52,48,61,62,65,64,
60,63,1,4,9,14,18,23,27,1,3,9,13,1,3,4,6,18,20,42,42,42,54,57,54,56,48,51,48,
50,61,62,65,64,60,63,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,122,123,124,125,126,127,100,101,106,108,100,
101,102,103,104,105,115,116,119,141,142,141,142,141,142,153,154,155,156,157,
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,
93,86,87,88,89,96,99,97,94,95,98,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,100,101,128,129,128,129,153,154,
155,156,157,158,147,148,149,150,151,152,161,164,162,159,160,163],,[1,2,3,4,5,
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,
33,34,35,36,37,38,39,40,41,42,43,46,47,44,45,1,2,3,4,7,33,1,2,3,4,7,33,63,64,
60,62,65,61,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,84,66,67,
77,78,66,67,77,78,97,98,94,96,99,95,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,142,145,146,143,144,100,
101,102,103,105,132,100,101,102,103,105,132,162,163,159,161,164,
160],,,,,,,,,,,,,,,,,,,,,,,,[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,
46,47,54,55,56,57,58,59,48,49,50,51,52,53,1,1,1,1,1,1,66,67,68,69,70,71,72,73,
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,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,153,154,155,156,157,158,147,148,149,150,
151,152,100,100,100,100,100,100]],
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1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,
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-1,-1,-1,-1,-1,-1,-1,-1],[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,
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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],[
30,30,30,14,14,14,14,14,6,6,6,6,6,2,2,2,2,6,6,6,6,6,2,2,2,2,0,0,0,0,0,0,6,6,6,
2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,0,-1,2,2,2,0,0,-1,-1,-1,-1,-1,-1,-1,30,14,6,2,
6,2,0,0,0,0,0,6,6,2,2,0,0,0,0,0,2,0,-1,-1,2,0,-1,-1,-1,-1,-1,-1,-1,-1,30,30,
14,14,14,14,6,6,6,6,2,2,2,2,2,6,6,6,6,6,2,2,2,2,2,0,0,0,0,0,0,0,6,6,2,2,2,2,0,
0,0,0,0,0,0,0,0,2,2,0,0,0,-1,2,2,0,0,0,-1,-1,-1,-1,-1,-1,-1],
[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,
4,4,4,4,0,0,0,0,0,0,12,12,12,4,4,4,4,0,0,0,0,0,0,0,0,4,4,4,0,0,-2,4,4,4,0,0,
-2,-2,-2,-2,-2,-2,-2,-30,-14,-6,-2,-6,-2,0,0,0,0,0,-6,-6,-2,-2,0,0,0,0,0,-2,0,
1,1,-2,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0],[93,29,-3,45,13,-3,13,-3,21,5,5,-3,-3,9,1,1,-3,21,5,-3,5,-3,9,1,1,-3,3,-1,
3,-1,3,-1,21,5,-3,9,1,1,-3,3,-1,3,-1,3,-1,3,-1,9,1,-3,3,-1,0,9,1,-3,3,-1,0,0,
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0,0],
[TENSOR,[7,2]],[124,124,124,28,28,28,28,28,12,12,12,12,12,4,4,4,4,4,4,4,4,4,0,
0,0,0,0,0,4,4,0,0,1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-2,-2,-2,0,0,1,-2,-2,-2,
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0,1,1,0,0,0,0,0,0,124,124,28,28,28,28,12,12,12,12,4,4,4,4,4,4,4,4,4,4,0,0,0,0,
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1,0,0,0,0,0,0],
[TENSOR,[9,2]],[155,155,155,27,27,27,27,27,-5,-5,-5,-5,-5,-5,-5,-5,-5,3,3,3,3,
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[TENSOR,[11,2]],[217,217,217,-7,-7,-7,-7,-7,9,9,9,9,9,1,1,1,1,-7,-7,-7,-7,-7,
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[TENSOR,[13,2]],[248,248,248,56,56,56,56,56,24,24,24,24,24,8,8,8,8,8,8,8,8,8,
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0,0,0],[280,280,280,56,56,56,56,56,8,8,8,8,8,0,0,0,0,8,8,8,8,8,0,0,0,0,0,0,-5,
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1],
[TENSOR,[16,2]],[310,310,310,54,54,54,54,54,-10,-10,-10,-10,-10,-10,-10,-10,
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0,0,0,0,0,0,0,0,0,0],[315,315,315,-21,-21,-21,-21,-21,3,3,3,3,3,-1,-1,-1,-1,3,
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0,0,0,0,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)^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)+E(31)^2+E(31)^4+E(31)^8
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 +E(31)^24,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)^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)^7+E(31)^14+E(31)^19+E(31)^25
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[TENSOR,[146,2]],[19530,-630,42,-294,122,-54,-70,10,162,-78,-14,26,-6,6,-2,-2,
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0,0,0,0,0,0,0,0],
[TENSOR,[148,2]],[29295,9135,-945,-945,-273,63,-273,63,63,15,15,-9,-9,-9,-1,
-1,3,63,15,-9,15,-9,-9,-1,-1,3,3,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,-9765,315,315,315,-21,-21,-21,-21,3,3,3,3,3,-1,-1,-21,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[TENSOR,[150,2]],[29295,9135,-945,63,-33,-81,63,15,-153,-9,-41,31,15,27,3,3,
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[TENSOR,[152,2]],[39060,-1260,84,756,-204,84,84,-12,-60,36,4,-12,4,12,-4,-4,4,
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0,0],[39060,-1260,84,1428,-44,-12,-140,20,180,-108,-12,36,-12,-12,4,4,-4,-36,
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0,0,0,0],
[TENSOR,[155,2]],
[TENSOR,[154,2]],[58590,-1890,126,-882,366,-162,-210,30,-90,-42,22,14,-18,18,
-6,-6,6,54,-26,30,6,-2,-6,2,2,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,-336,336,0,0,72,-24,0,0,-12,4,4,0,0,24,-24,0,0,0,
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0,0,0,0,0,0,0],
[TENSOR,[158,2]],[58590,-1890,126,1134,78,-66,-210,30,-234,6,38,-2,-18,-6,2,2,
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4,0,-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],
[TENSOR,[160,2]],[78120,-2520,168,1512,-408,168,168,-24,-120,72,8,-24,8,24,-8,
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117180,-3780,252,-1764,-36,60,252,-36,108,12,-20,-4,12,-12,4,4,-4,36,4,-12,
-12,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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[TENSOR,[163,2]]],
[( 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("P2L72","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"
]);

MOT("P3L62",
[
"origin: CAS library,\n",
"tests: 1.o.r., pow[2,3,7]"
],
[14450688,294912,49152,86016,86016,12288,6144,2048,86016,12288,6144,2048,2048,
2048,2048,2048,512,512,512,256,256,5376,768,5376,768,256,256,128,64,256,256,
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],
[,[1,1,1,1,1,1,2,2,1,1,2,2,1,1,2,2,2,2,3,3,3,5,6,9,10,5,6,6,8,9,10,10,12,13,
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,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,1,
1,1,1,40,40,38,38,1,1,1,4,1,4,9,9,5,5,24,24,22,22,64,65,66,67,68,69,70,71,72,
73,74,75,76,77]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[7,7,7,7,7,7,7,7,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,7,7,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,7,7,1,1,7,7,0,0,1,1,0,0,0,0,0,0,0,0,-1,-1,0,0,-1,
-1,0,0,-1,-1,-1,1,1,1,-1,-1,1,1,1,1,1,1],[3,3,3,3,3,3,3,3,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,3,3,1,1,-1,-1,-1,-1,1,1,1,1,1,1,1,1,3,3,0,0,3,3,
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,
0,0,0,0,0,0,6,6,0,0,6,6,-1,-1,0,0,-1,-1,-1,-1,-1,-1,-1,-1,2,2,-1,-1,0,0,-1,-1,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,-1,-1,8,8,1,1,-1,-1,1,1,1,1,1,1,1,1,0,0,1,1,0,0,
1,1,0,0,0,-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,
-1,-1,-1,-1,-1,-1,-1,-1,-1,7,7,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,7,7,0,
0,7,7,0,0,1,1,0,0,0,0,0,0,0,0,-1,-1,0,0,-1,-1,1,1,1,-1,-1,-1,1,1,-1,-1,1,1,1,
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,
2,2,0,0,0,0,0,0,6,6,-1,-1,6,6,-1,-1,0,0,-1,-1,-1,-1,-1,-1,-1,-1,2,2,-1,-1,0,0,
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,
-7,1,1,1,1,1,1,1,1,1,-7,-7,-7,-7,1,1,1,1,1,1,1,1,1,1,1,1,7,7,7,7,0,0,0,0,0,0,
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],[21,21,
21,21,-7,-7,-7,-7,-3,-3,-3,-3,1,1,1,1,1,1,1,1,1,7,7,-3,-3,-1,-1,-1,-1,1,1,1,1,
-1,-1,-1,-1,0,0,3,3,7*E(7)+7*E(7)^2+7*E(7)^4,7*E(7)^3+7*E(7)^5+7*E(7)^6,0,0,
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,-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)^6,0,0,0,0,0,
-1,-1,-1,0,0,1,1,0,0,0,0],
[GALOIS,[13,3]],[42,42,42,42,14,14,14,14,-6,-6,-6,-6,-2,-2,-2,-2,-2,-2,-2,-2,
-2,0,0,-6,-6,0,0,0,0,-2,-2,-2,-2,0,0,0,0,0,0,6,6,-7,-7,0,0,-1,-1,0,0,0,0,0,0,
0,0,1,1,0,0,1,1,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0],[56,56,56,56,0,0,0,0,-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,-7,-7,8,8,7,7,0,0,1,
1,0,0,0,0,0,0,0,0,-1,-1,0,0,-1,-1,0,0,1,1,1,0,0,0,1,1,0,0,-1,-1,-1,-1],[21,21,
21,21,-3,-3,-3,-3,-7,-7,-7,-7,1,1,1,1,1,1,1,1,1,-3,-3,7,7,1,1,1,1,-1,-1,-1,-1,
-1,-1,-1,-1,3,3,0,0,0,0,7*E(7)+7*E(7)^2+7*E(7)^4,7*E(7)^3+7*E(7)^5+7*E(7)^6,0,
0,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,-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,-1,-1,-1,
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,
3,3,-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,1,0,0,0,0,3*E(7)+3*E(7)^2+3*E(7)^4,
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+3*E(7)^5+3*E(7)^6
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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"
]);

MOT("P3L72",
[
"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,
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,
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,
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,
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,
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],
[GALOIS,[2,3]],[6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1],[7,7,7,7,-1,-1,-1,-1,-1,-1,3,3,3,4,1,1,1,-1,-1,-1,-1,1,1,2,
0,-1,-1,0,0,0,0,-1,-1,7,7,7,7,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,3,3,3,3,3,3,4,1,1,
1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,1,2,0,-1,-1,-1,-1,0,0,0,0,0,0,-1,-1,7,
7,-1,-1,-1,-1,3,3,3,4,1,1,-1,-1,-1,-1,-1,-1,1,1,1,1,2,0,-1,-1,-1,0,0,0,0,-1,
-1,7,7,-1,-1,-1,3,3,4,4,1,1,1,1,-1,-1,-1,1,1,2,0,0,-1,-1,-1,-1,0,0,0,0,-1,-1,
7,-1,3,4,1,-1,1,2,0,-1,0,0,0,-1,-1,7,-1,3,4,1,-1,1,2,0,-1,0,0,0,-1,-1],[7,7,7,
7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,
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],[8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[14,14,14,14,6,6,6,6,6,
6,2,2,2,-1,2,2,2,2,2,2,2,0,0,-1,-1,0,0,0,0,0,0,-1,-1,14,14,14,14,6,6,6,6,6,6,
6,6,6,6,2,2,2,2,2,2,-1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,-1,-1,0,0,0,0,0,0,
0,0,0,0,-1,-1,14,14,6,6,6,6,2,2,2,-1,2,2,2,2,2,2,2,2,0,0,0,0,-1,-1,0,0,0,0,0,
0,0,-1,-1,14,14,6,6,6,2,2,-1,-1,2,2,2,2,2,2,2,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,-1,
-1,14,6,2,-1,2,2,0,-1,-1,0,0,0,0,-1,-1,14,6,2,-1,2,2,0,-1,-1,0,0,0,0,-1,-1],[
20,20,20,20,4,4,4,4,4,4,4,4,4,5,-1,-1,-1,0,0,0,0,0,0,0,1,1,1,-1,-1,-1,-1,0,0,
20,20,20,20,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,1,1,1,1,-1,-1,-1,-1,-1,-1,0,0,20,20,4,4,4,4,4,4,4,5,-1,-1,0,0,0,0,
0,0,0,0,0,0,0,1,1,1,1,-1,-1,-1,-1,0,0,20,20,4,4,4,4,4,5,5,-1,-1,-1,-1,0,0,0,0,
0,0,1,1,1,1,1,1,-1,-1,-1,-1,0,0,20,4,4,5,-1,0,0,0,1,1,-1,-1,-1,0,0,20,4,4,5,
-1,0,0,0,1,1,-1,-1,-1,0,0],[21,21,21,21,-3,-3,-3,-3,-3,-3,1,1,1,6,0,0,0,1,1,1,
1,-1,-1,1,-2,0,0,0,0,0,0,1,1,21,21,21,21,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,1,1,1,
1,1,1,6,0,0,0,0,1,1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,1,-2,0,0,0,0,0,0,0,0,0,0,1,1,
21,21,-3,-3,-3,-3,1,1,1,6,0,0,1,1,1,1,1,1,-1,-1,-1,-1,1,-2,0,0,0,0,0,0,0,1,1,
21,21,-3,-3,-3,1,1,6,6,0,0,0,0,1,1,1,-1,-1,1,-2,-2,0,0,0,0,0,0,0,0,1,1,21,-3,
1,6,0,1,-1,1,-2,0,0,0,0,1,1,21,-3,1,6,0,1,-1,1,-2,0,0,0,0,1,1],[21,21,21,21,
-3,-3,-3,-3,-3,-3,1,1,1,-3,0,0,0,1,1,1,1,-1,-1,1,1,0,0,0,0,0,0,
-E(15)^7-E(15)^11-E(15)^13-E(15)^14,-E(15)-E(15)^2-E(15)^4-E(15)^8,21,21,21,
21,-3,-3,-3,-3,-3,-3,-3,-3,-3,-3,1,1,1,1,1,1,-3,0,0,0,0,1,1,1,1,1,1,1,1,1,1,
-1,-1,-1,-1,1,1,0,0,0,0,0,0,0,0,0,0,-E(15)^7-E(15)^11-E(15)^13-E(15)^14,
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[( 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("P3L72","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]);

LIBTABLE.LOADSTATUS.ctomisc3:="userloaded";
ALN:= NotifyCharTableName;

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