Quelle  ctoexce1.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctoexce1.tbl                GAP table library               Thomas Breuer
##
##  This file contains the ordinary character table of
##  $E_6(2)$.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctoexce1.tbl,v $
#H  Revision 4.6  2012/01/30 08:31:42  gap
#H  removed #H entries from the headers
#H      TB
#H
#H  Revision 4.5  2011/09/28 14:32:11  gap
#H  removed revision entry and SET_TABLEFILENAME call
#H      TB
#H
#H  Revision 4.4  2009/04/22 12:39:00  gap
#H  added missing maxes of He.2, ON.2, HN.2, Fi24, and B
#H      TB
#H
#H  Revision 4.3  2003/11/10 08:02:04  gap
#H  turned `extInfo' into standard format
#H      TB
#H
#H  Revision 4.2  2001/05/04 16:47:14  gap
#H  first revision for ctbllib
#H
#H
#H  tbl history (GAP 4)
#H  -------------------
#H  (Rev. 4.2 of ctbllib coincides with Rev. 4.1 of tbl in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tbl/ctoexce1.tbl,v
#H  Working file: ctoexce1.tbl
#H  head: 1.1
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H  keyword substitution: kv
#H  total revisions: 1; selected revisions: 1
#H  description:
#H  ----------------------------
#H  revision 1.1
#H  date: 2000/10/14 09:03:39;  author: gap;  state: Exp;
#H  added the table of E6(2) (computed by B. Fischer)
#H  
#H      TB
#H  ==========================================================================
##

MOT("E6(2)",
[
"origin: originally computed by B. Fischer,\n",
"corrected in 2016 by W. Unger, after computation of the table with Magma\n",
"(power maps and irrationalities on classes of element order 91),\n",
"tests: 1.o.r"
],
[214841575522005575270400,42275878490603520,24352464568320,135291469824,
60476129280,592220160,13063680,126835752960,59190018048,1409286144,792723456,
100663296,23592960,12582912,5505024,1572864,1572864,1572864,129600,30965760,
1451520,552960,442368,258048,138240,41472,9216,4608,1479389184,1479389184,
197568,8232,344064,344064,98304,32768,12288,8192,8192,8192,1024,1024,540,378,
2880,480,241920,129024,6144,4608,4608,4608,3456,2304,768,768,576,384,192,192,
192,192,91,1806336,1806336,21504,21504,9408,9408,448,392,3240,3240,540,270,256
,128,128,51,51,126,36,240,40,10584,10584,4536,4536,3528,3528,147,63,192,96,96,
96,25088,25088,10752,10752,4704,4704,448,448,224,224,196,112,360,360,180,180,
90,60,186,186,186,186,186,186,504,504,168,168,168,168,45,45,51,51,51,51,224,
224,224,224,60,60,62,62,62,62,62,62,378,378,378,378,378,378,73,73,73,73,73,73,
73,73,84,84,84,84,91,91,91,91,91,91,93,93,93,93,93,93,126,126,126,126,126,126]
,
[,[1,1,1,1,5,6,7,2,2,2,3,2,3,3,4,4,3,4,19,5,7,6,5,5,6,7,6,7,29,30,31,32,8,9,10
,10,11,14,12,14,16,18,43,44,19,19,21,20,20,22,23,22,26,23,23,21,25,26,27,28,28
,28,63,29,30,29,30,31,31,31,32,72,73,74,75,36,38,40,79,80,44,43,45,46,85,86,87
,88,89,90,91,92,49,51,50,52,64,65,64,65,68,69,66,67,68,69,71,70,72,73,74,74,75
,74,115,116,117,118,119,120,87,88,89,90,85,86,127,128,129,130,131,132,97,98,99
,100,109,110,115,116,117,118,119,120,145,146,147,148,149,150,151,152,153,154,
155,156,157,158,123,124,121,122,163,164,165,166,167,168,169,170,171,172,173,
174,145,146,147,148,149,150],[1,2,3,4,1,1,1,8,9,10,11,12,13,14,15,16,17,18,19,
2,2,2,3,4,3,3,4,4,30,29,31,32,33,34,35,36,37,38,39,40,41,42,7,7,45,46,8,9,10,9
,11,8,11,13,17,12,13,14,16,18,15,15,63,65,64,67,66,69,68,70,71,19,19,19,19,76,
77,78,80,79,21,26,83,84,30,29,30,29,31,31,32,31,35,37,34,33,98,97,100,99,102,
101,104,103,106,105,107,108,45,45,45,45,45,46,116,117,118,119,120,115,65,64,68
,69,67,66,72,73,80,79,80,79,134,133,136,135,83,83,140,141,142,143,144,139,88,
87,88,87,88,87,157,158,151,152,153,154,155,156,101,102,100,99,164,165,166,167,
168,163,120,115,116,117,118,119,122,121,122,121,122,121],,[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,1,20,21,22,23,24,25,26,27,28,30,29,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,2,3,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,61
,63,65,64,67,66,69,68,70,71,7,7,6,5,76,77,78,80,79,81,82,8,13,86,85,88,87,90,
89,91,92,93,94,95,96,98,97,100,99,102,101,104,103,106,105,107,108,21,21,22,22,
20,25,117,118,119,120,115,116,122,121,124,123,126,125,43,43,130,131,132,129,
134,133,136,135,47,47,141,142,143,144,139,140,146,147,148,149,150,145,152,153,
154,155,156,157,158,151,160,159,162,161,164,165,166,167,168,163,171,172,173,
174,169,170,176,177,178,179,180,175],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,1,1,1,1,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,2,2,4,4,2,2,3,2,73
,72,74,75,76,77,78,80,79,81,82,83,84,5,5,7,7,5,5,5,6,93,94,95,96,9,9,8,8,9,9,
15,15,10,10,9,11,110,109,112,111,113,114,119,120,115,116,117,118,21,21,20,20,
24,24,128,127,130,131,132,129,34,34,33,33,138,137,143,144,139,140,141,142,44,
44,44,44,44,44,152,153,154,155,156,157,158,151,48,48,47,47,63,63,63,63,63,63,
173,174,169,170,171,172,81,81,81,81,81,81],,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13
,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,29,31,32,33,34,35,36,37,38,39
,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,1,65,64,
67,66,69,68,70,71,73,72,74,75,76,77,78,79,80,81,82,83,84,86,85,88,87,90,89,91,
92,93,94,95,96,98,97,100,99,102,101,104,103,106,105,107,108,110,109,112,111,
113,114,120,115,116,117,118,119,122,121,124,123,126,125,128,127,129,130,131,
132,134,133,136,135,138,137,144,139,140,141,142,143,150,145,146,147,148,149,
154,155,156,157,158,151,152,153,160,159,162,161,30,29,30,29,30,29,174,169,170,
171,172,173,180,175,176,177,178,179],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,30,29,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,62,61,63,65,64,67,66,
69,68,70,71,72,73,74,75,76,77,78,1,1,81,82,83,84,86,85,88,87,90,89,91,92,93,94
,95,96,98,97,100,99,102,101,104,103,106,105,107,108,109,110,111,112,113,114,
116,117,118,119,120,115,122,121,124,123,126,125,127,128,6,6,6,6,134,133,136,
135,137,138,140,141,142,143,144,139,146,147,148,149,150,145,156,157,158,151,
152,153,154,155,160,159,162,161,166,167,168,163,164,165,170,171,172,173,174,
169,176,177,178,179,180,175],,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15
,16,17,18,19,20,21,22,23,24,25,26,27,28,30,29,31,32,33,34,35,36,37,38,39,40,41
,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,64,67,66
,69,68,70,71,72,73,74,75,76,77,78,80,79,81,82,83,84,86,85,88,87,90,89,91,92,93
,94,95,96,98,97,100,99,102,101,104,103,106,105,107,108,109,110,111,112,113,114
,1,1,1,1,1,1,122,121,124,123,126,125,127,128,132,129,130,131,134,133,136,135,
137,138,2,2,2,2,2,2,148,149,150,145,146,147,154,155,156,157,158,151,152,153,
160,159,162,161,168,163,164,165,166,167,5,5,5,5,5,5,178,179,180,175,176,177],,
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,30,29,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,65,64,67,66,
69,68,70,71,73,72,74,75,76,77,78,80,79,81,82,83,84,86,85,88,87,90,89,91,92,93,
94,95,96,98,97,100,99,102,101,104,103,106,105,107,108,110,109,112,111,113,114,
120,115,116,117,118,119,122,121,124,123,126,125,128,127,132,129,130,131,134,
133,136,135,138,137,144,139,140,141,142,143,146,147,148,149,150,145,1,1,1,1,1,
1,1,1,160,159,162,161,168,163,164,165,166,167,174,169,170,171,172,173,176,177,
178,179,180,175]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[2482,434,178,50,61,34,-2,
18,82,50,34,18,26,2,-6,2,10,18,7,29,2,2,13,5,10,-2,2,2,25,25,11,4,6,6,10,2,2,-
2,6,6,2,2,1,1,-1,3,0,13,5,-2,1,6,-2,5,1,0,2,2,2,0,0,0,-1,-7,-7,1,1,7,7,3,0,-2,
-2,4,1,2,0,0,0,0,-1,1,3,1,-2,-2,-2,-2,5,5,-2,-1,1,-1,0,0,5,5,-3,-3,5,5,1,1,1,1
,-2,-1,2,2,2,2,-1,0,2,2,2,2,2,2,2,2,1,1,-2,-2,1,1,0,0,0,0,-1,-1,-1,-1,0,0,0,0,
0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,-1,-1,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1
,-1,-1,-1,-1,-1,-1,-1],[137020,10044,2364,572,589,85,22,380,764,316,92,124,140
,28,12,28,44,60,20,141,18,21,45,29,21,6,5,2,-26,-26,37,-5,28,28,28,12,4,4,12,4
,4,4,4,-2,4,4,20,29,13,5,5,5,2,5,5,4,5,-2,1,0,0,0,0,6,6,-2,-2,13,13,5,-1,2,2,5
,-1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,-6,-6,2,2,1,1,-2,-2,1,1,1,1,-2,-
2,1,1,1,1,0,0,0,0,0,0,-3,-3,1,1,1,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-
2,-2,-2,-2,-2,-1,-1,-1,-1,-1,-1,-1,-1,1,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0],[443548,-868,924,-228,217,154,-35,764,-196,28,140,-4,4,-20,-28,44,-12,-
4,23,-7,41,26,9,-15,-6,-3,-6,9,196,196,0,0,-16,16,4,-4,-4,8,0,0,-4,4,4,1,7,-1,
-1,-7,1,2,5,2,5,1,-3,-1,-2,1,2,-1,-1,-1,1,-28,-28,-4,-4,0,0,0,0,5,5,-1,2,0,-2,
2,1,1,-1,0,-1,-1,7,7,7,7,0,0,0,0,1,-1,-2,2,0,0,8,8,0,0,0,0,0,0,0,0,1,1,1,1,-2,
-1,0,0,0,0,0,0,-1,-1,0,0,-1,-1,-1,-1,1,1,1,1,2,2,-2,-2,-1,-1,0,0,0,0,0,0,1,1,1
,1,1,1,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,1,1,1,1,0,0,0,0,0,0,-1,-1,-1,-1,-1,-1],[
1384956,51708,7932,380,1395,153,-63,-228,2012,636,204,28,180,-20,20,-20,4,92,6
,243,21,-39,51,-13,9,-15,-7,5,27,27,41,-1,24,-8,20,-4,-4,0,8,8,4,-4,0,0,-2,2,-
21,35,3,-7,3,9,-3,3,-5,-5,-3,1,1,-1,-1,-1,1,27,27,-5,-5,13,13,1,-1,-3,-3,3,0,0
,2,-2,0,0,0,0,2,0,9,9,0,0,2,2,2,-1,-1,-1,1,-3,3,3,3,3,3,3,-1,-1,-1,-1,3,1,1,1,
1,1,-2,-1,0,0,0,0,0,0,0,0,-2,-2,1,1,0,0,0,0,0,0,-1,-1,3,3,-1,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],[
1693965,41229,6669,-371,435,408,66,173,1133,397,285,-83,69,-67,-27,-3,-43,45,
15,147,-18,24,3,-5,24,18,-8,-2,273,273,14,7,-15,-15,5,-19,-11,1,1,9,-3,-3,0,0,
-1,-1,20,35,-5,8,-9,8,6,3,-1,4,0,2,0,0,0,0,0,-15,-15,-7,-7,6,6,-2,-1,6,6,3,0,1
,-1,-1,0,0,0,0,3,-1,-6,-6,3,3,8,8,1,2,-1,1,0,0,13,13,5,5,6,6,1,1,-2,-2,-1,-2,2
,2,-1,-1,2,-1,1,1,1,1,1,1,3,3,0,0,2,2,0,0,0,0,0,0,-1,-1,-1,-1,0,0,-1,-1,-1,-1,
-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,
0],[2000492,32364,7532,1260,62,476,8,972,524,492,476,204,84,60,-12,60,68,12,17
,30,0,60,14,6,20,8,12,0,494,494,-24,11,16,-16,20,12,12,8,0,0,4,-4,-1,2,9,-3,0,
14,6,8,2,0,8,6,2,0,0,0,0,0,0,0,0,-18,-18,14,14,-4,-4,0,3,8,8,-4,2,0,2,-2,0,0,0
,-1,-3,-1,-1,-1,8,8,6,6,-1,0,2,0,2,-2,6,6,6,6,6,6,2,2,2,2,-1,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,2,2,-1,-1,-1,-1,0,0,0,0,-2,-2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0
,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],[2941900,84940,14540
,1868,1240,475,-20,-20,2732,1100,540,236,260,60,36,-4,84,108,0,280,-20,-5,56,8
,35,-4,11,-4,325,325,17,10,-8,24,36,12,12,0,8,8,-4,4,-5,1,0,0,-20,56,8,-1,0,7,
0,8,0,-4,-1,0,-1,0,0,0,0,37,37,13,13,9,9,1,2,0,0,0,0,0,-2,2,-1,-1,1,-1,0,0,1,1
,1,1,8,8,1,-1,0,0,-3,1,9,9,1,1,9,9,1,1,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0
,1,1,0,0,-1,-1,-1,-1,3,3,-1,-1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0
,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],[8655975,85095,-3225,1767,1395,0,45,
3015,519,-281,343,-57,15,55,175,-9,-1,7,0,-45,45,0,3,27,0,-3,0,-3,E(7)+E(7)^2+
351*E(7)^3+E(7)^4+351*E(7)^5+351*E(7)^6,351*E(7)+351*E(7)^2+E(7)^3+351*E(7)^4+
E(7)^5+E(7)^6,6,-1,27,27,-1,-9,7,3,-5,11,-1,-1,0,3,0,0,45,3,-5,0,7,0,1,3,-1,-3
,0,1,0,1,1,1,3,E(7)+E(7)^2+63*E(7)^3+E(7)^4+63*E(7)^5+63*E(7)^6,63*E(7)+63*E(7
)^2+E(7)^3+63*E(7)^4+E(7)^5+E(7)^6,E(7)+E(7)^2+7*E(7)^3+E(7)^4+7*E(7)^5+7*E(7)
^6,7*E(7)+7*E(7)^2+E(7)^3+7*E(7)^4+E(7)^5+E(7)^6,6*E(7)+6*E(7)^2+2*E(7)^3+6*E(
7)^4+2*E(7)^5+2*E(7)^6,2*E(7)+2*E(7)^2+6*E(7)^3+2*E(7)^4+6*E(7)^5+6*E(7)^6,2,3
,0,0,0,0,-1,1,1,0,0,3,0,0,0,E(7)+E(7)^2+9*E(7)^3+E(7)^4+9*E(7)^5+9*E(7)^6,9*E(
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61,62),(72,73)(109,110)(111,112)(127,128)(137,138),(79,80)(129,130,131,132),(
115,116,117,118,119,120)(139,140,141,142,143,144)(169,170,171,172,173,174),(
115,117,119)(116,118,120)(139,141,143)(140,142,144)(169,171,173)(170,172,174),
(129,131)(130,132),(145,147,149)(146,148,150)(175,177,179)(176,178,180),(163,
165,167)(164,166,168),(151,152,153,154,155,156,157,158)]);
ARC("E6(2)","isSimple",true);
ARC("E6(2)","extInfo",["","2"]);

MOT("F4(3)",
[
"computed by Eamonn O'Brien using Magma, May/June 2024"
],
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