Quelle ctbfisc1.tbl Sprache: unbekannt

#############################################################################
##
#W  ctbfisc1.tbl                GAP table library               Thomas Breuer
##
##  This file contains the Brauer character tables related to the
##  Fischer group $Fi_{22}$ of the ATLAS (see file 'ctofisc1.tbl')
##  modulo all prime divisors of the group order.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctbfisc1.tbl,v $
#H  Revision 4.8  2011/09/28 12:12:36  gap
#H  removed Revision entries and SET_TABLEFILENAME calls
#H      TB
#H
#H  Revision 4.7  2005/09/23 08:05:18  gap
#H  added 2- and 3-modular tables of 6.Fi22 and 6.Fi22.2
#H  (contributed by Felix Noeske)
#H      TB
#H
#H  Revision 4.6  2004/08/31 11:51:19  gap
#H  added 3.A6.2^2 mod 2, 5,
#H        A6.2^2 mod 2, 5,
#H        L2(25).2^2 mod 2, 3, 5, 13,
#H        L2(49).2^2 mod 2, 3, 5,
#H        L2(81).2^2 mod 2, 5, 41,
#H        L2(81).(2x4) mod 2,
#H        3.L3(4).2^2 mod 2, 5, 7,
#H        3.L3(4).3.2_2 mod 2, 5, 7,
#H        L3(4).2^2 mod 2, 3, 5, 7,
#H        L3(4).3.2_2 mod 3, 5, 7,
#H        L3(4).3.2_3 mod 3, 5, 7,
#H        L3(4).D12 mod 2, 3, 5, 7,
#H        L3(9).2^2 mod 2, 3, 5, 7, 13,
#H        O8+(2).3.2 mod 3, 5, 7,
#H        O8+(3).3.2 mod 5, 7, 13,
#H        O8+(3).(2^2)_{111} mod 2, 5, 7, 13,
#H        O8+(3).(2^2)_{122} mod 2, 5, 7, 13,
#H        O8+(3).D8 mod 2, 5, 7, 13,
#H        O8+(3).A4 mod 2, 5, 7, 13,
#H        O8+(3).S4 mod 13,
#H        3_1.U4(3).2_2' mod 2, 5, 7,
#H        3_2.U4(3).2_3' mod 2, 5, 7,
#H        3_2.U4(3).(2^2)_{133} mod 2, 5, 7,
#H        6_2.U4(3).2_3' mod 5, 7,
#H        U4(3).(2^2)_{122} mod 2, 3, 5, 7,
#H        U4(3).(2^2)_{133} mod 2, 3, 5, 7,
#H        U4(3).D8 mod 2, 3, 5, 7,
#H        U6(2).3.2 mod 3, 5, 7, 11,
#H  extended `InfoText' values, added missing table automorphisms
#H      TB
#H
#H  Revision 4.5  2001/05/04 16:54:33  gap
#H  first revision for ctbllib
#H
#H
#H  tbl history (GAP 4)
#H  -------------------
#H  (Rev. 4.5 of ctbllib coincides with Rev. 4.4 of tbl in GAP 4)
#H
#H  RCS file: /gap/CVS/GAP/4.0/tbl/ctbfisc1.tbl,v
#H  Working file: ctbfisc1.tbl
#H  head: 4.4
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H   GAP4R2: 4.4.0.8
#H   GAP4R2PRE2: 4.4.0.6
#H   GAP4R2PRE1: 4.4.0.4
#H   GAP4R1: 4.4.0.2
#H  keyword substitution: kv
#H  total revisions: 5; selected revisions: 5
#H  description:
#H  ----------------------------
#H  revision 4.4
#H  date: 1999/07/20 08:33:27;  author: gap;  state: Exp;  lines: +43 -42
#H  added new table of 6.Fi22.2 mod 5 (recently the old one had been removed
#H  because it was wrong),
#H  replaced the table of 6.Fi22 mod 5 by the (hopefully) correct one;
#H  I had suspected that the bug in 6.Fi22.2 mod 5 was due to a typo in the
#H  Cambridge file, but then it took Christoph Jansen and me several hours
#H  yesterday to realize that there was a bug in 6.Fi22 mod 5,
#H  and to fix that bug.
#H  (So it really happens that I am too optimistic.)
#H
#H      TB
#H  ----------------------------
#H  revision 4.3
#H  date: 1999/07/14 11:39:37;  author: gap;  state: Exp;  lines: +4 -3
#H  cosmetic changes for the release ...
#H
#H      TB
#H  ----------------------------
#H  revision 4.2
#H  date: 1999/06/11 14:33:58;  author: gap;  state: Exp;  lines: +25 -25
#H  commented out wrong table of 6.Fi22.2 mod 5
#H
#H      TB
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/07/17 15:34:43;  author: fceller;  state: Exp;  lines: +2 -2
#H  for version 4
#H  ----------------------------
#H  revision 1.1
#H  date: 1996/10/21 15:58:22;  author: sam;  state: Exp;
#H  first proposal of the table library
#H  ==========================================================================
##

TEXT1:= "origin: modular ATLAS of finite groups, tests: DEC, TENS";

MBT("6.Fi22",11,
TEXT1,
[167,168,169,170,171,172,173,174,175,176,177,178,167,168,169,170,179,180,169,
170,167,168,181,182,183,184,169,170,167,168,185,186,187,188,169,170,167,168,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,
208,209,210],
[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],
[],
[[[1,2],[2,3,4],[3,4,6],[5,7],[6,7]],1,1,1],
[],
[["Fi22",0],["2.Fi22",0],["3.Fi22",49]],
[(209,212)(210,213)(211,214),(  7, 10)(  8, 11)(  9, 12)( 37, 40)( 38, 41)
( 39, 42)( 61, 64)( 62, 65)( 63, 66)( 67, 70)( 68, 71)( 69, 72)( 85, 86)
( 90, 91)(100,101)(119,122)(120,123)(121,124)(135,138)(136,139)(137,140)
(159,162)(160,163)(161,164)(165,167)(166,168)(177,180)(178,181)(179,182)
(197,200)(198,201)(199,202)(215,218)(216,219)(217,220)(221,224)(222,225)
(223,226)(227,228)(235,238)(236,239)(237,240)(253,256)(254,257)(255,258),
(185,191)(186,192)(187,193)(188,194)(189,195)(190,196),(  2,  6)(  3,  5)
(  8, 12)(  9, 11)( 14, 18)( 15, 17)( 20, 21)( 23, 27)( 24, 26)( 35, 36)
( 38, 42)( 39, 41)( 44, 45)( 47, 51)( 48, 50)( 53, 54)( 56, 60)( 57, 59)
( 62, 66)( 63, 65)( 68, 72)( 69, 71)( 74, 78)( 75, 77)( 80, 84)( 81, 83)
( 88, 89)( 95, 99)( 96, 98)(105,109)(106,108)(111,112)(114,115)(117,118)
(120,124)(121,123)(126,130)(127,129)(136,140)(137,139)(142,146)(143,145)
(148,149)(151,155)(152,154)(157,158)(160,164)(161,163)(172,173)(175,176)
(178,182)(179,181)(186,190)(187,189)(192,196)(193,195)(198,202)(199,201)
(204,208)(205,207)(210,211)(213,214)(215,221)(216,226)(217,225)(218,224)
(219,223)(220,222)(230,234)(231,233)(236,240)(237,239)(242,246)(243,245)
(248,249)(251,252)(254,258)(255,257)],
0,
rec(version:=1,
date:="21.02.94"));

MBT("6.Fi22",13,
TEXT1,
[187,188,187,188,189,190,191,192,187,188,187,188,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,
187,188,187,188,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240],
[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],
[],
[[[1,3],[2,4],[3,5],[4,6],[5,7,8],[6,7,8]],1],
[],
[["Fi22",0],["2.Fi22",0],["3.Fi22",49]],
[(209,212)(210,213)(211,214),(147,153)(148,154)(149,155)(150,156)(151,157)
(152,158)(247,253)(248,254)(249,255)(250,256)(251,257)(252,258),(  7, 10)
(  8, 11)(  9, 12)( 37, 40)( 38, 41)( 39, 42)( 61, 64)( 62, 65)( 63, 66)
( 67, 70)( 68, 71)( 69, 72)( 85, 86)( 90, 91)(100,101)(119,122)(120,123)
(121,124)(135,138)(136,139)(137,140)(171,174)(172,175)(173,176)(177,179)
(178,180)(189,192)(190,193)(191,194)(197,200)(198,201)(199,202)(215,218)
(216,219)(217,220)(221,224)(222,225)(223,226)(227,228)(235,238)(236,239)
(237,240)(247,250)(248,251)(249,252)(253,256)(254,257)(255,258)(265,268)
(266,269)(267,270),(  2,  6)(  3,  5)(  8, 12)(  9, 11)( 14, 18)( 15, 17)
( 20, 21)( 23, 27)( 24, 26)( 35, 36)( 38, 42)( 39, 41)( 44, 45)( 47, 51)
( 48, 50)( 53, 54)( 56, 60)( 57, 59)( 62, 66)( 63, 65)( 68, 72)( 69, 71)
( 74, 78)( 75, 77)( 80, 84)( 81, 83)( 88, 89)( 95, 99)( 96, 98)(105,109)
(106,108)(111,112)(114,115)(117,118)(120,124)(121,123)(126,130)(127,129)
(136,140)(137,139)(142,146)(143,145)(148,152)(149,151)(154,158)(155,157)
(160,161)(163,167)(164,166)(169,170)(172,176)(173,175)(184,185)(187,188)
(190,194)(191,193)(198,202)(199,201)(204,208)(205,207)(210,211)(213,214)
(215,221)(216,226)(217,225)(218,224)(219,223)(220,222)(230,234)(231,233)
(236,240)(237,239)(242,246)(243,245)(248,252)(249,251)(254,258)(255,257)
(260,261)(263,264)(266,270)(267,269)],
0,
rec(version:=1,
date:="21.02.94"));

MBT("6.Fi22",5,
TEXT1,
[107,108,107,108,109,110,111,112,107,108,107,108,109,110,111,112,107,108,107,
108,107,108,111,112,109,110,107,108,107,108,107,108,107,108,107,108,107,108,
107,108,107,108,107,108,111,112,109,110,113,114,115,116,117,118,119,120],
[2,2,1,1,1,1,0,0,0,0,0,0,0,0],
[[215,217,219,221,231,237,239,241,243,245,247,249,251,265,269,273],[216,218,
220,222,232,238,240,242,244,246,248,250,252,266,270,274]],
[,,[[2,4],[1,2],[3,5],[4,5]],3,3,3],
[[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0],[0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,-1,0,0,0,0,0,0,1,0,
0,0,0,0],[-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,
0],[0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[-1,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,-1,
1,1,0,0,0,0,-1,-1,0,-1,1],[1,0,1,0,0,-1,-1,0,0,-1,0,0,1,1,1,-1],[0,1,-1,0,0,0,
0,0,0,1,0,0,-1,-1,0,1]],[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0],[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,
0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0],[-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,-1,0,0,
0,0,1,0,0,0,0,0,0,0,0,0],[0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[-1,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0],[-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,-1,0,0,0,0,0,0,0,0,0,0,
1,0,0,0],[1,0,1,0,0,0,0,-1,-1,-1,0,0,1,1,1,-1],[0,0,0,0,-1,0,0,1,1,0,0,-1,-1,
0,-1,1],[0,1,-1,0,0,0,0,0,0,1,0,0,-1,-1,0,1]]],
[["Fi22",0],["2.Fi22",0],["3.Fi22",49]],
[(129,135)(130,136)(131,137)(132,138)(133,139)(134,140)(179,185)(180,186)
(181,187)(182,188)(183,189)(184,190)(229,235)(230,236)(231,237)(232,238)
(233,239)(234,240),(  7, 10)(  8, 11)(  9, 12)( 37, 40)( 38, 41)( 39, 42)
( 55, 58)( 56, 59)( 57, 60)( 61, 64)( 62, 65)( 63, 66)( 79, 80)( 84, 85)
( 94, 95)(113,116)(114,117)(115,118)(153,156)(154,157)(155,158)(159,161)
(160,162)(171,174)(172,175)(173,176)(179,185)(180,186)(181,187)(182,188)
(183,189)(184,190)(191,194)(192,195)(193,196)(203,206)(204,207)(205,208)
(209,212)(210,213)(211,214)(215,216)(229,232)(230,233)(231,234)(235,238)
(236,239)(237,240),(  2,  6)(  3,  5)(  8, 12)(  9, 11)( 14, 18)( 15, 17)
( 20, 21)( 23, 27)( 24, 26)( 35, 36)( 38, 42)( 39, 41)( 44, 45)( 47, 51)
( 48, 50)( 53, 54)( 56, 60)( 57, 59)( 62, 66)( 63, 65)( 68, 72)( 69, 71)
( 74, 78)( 75, 77)( 82, 83)( 89, 93)( 90, 92)( 99,103)(100,102)(105,106)
(108,109)(111,112)(114,118)(115,117)(120,124)(121,123)(130,134)(131,133)
(136,140)(137,139)(142,143)(145,149)(146,148)(151,152)(154,158)(155,157)
(166,167)(169,170)(172,176)(173,175)(179,185)(180,190)(181,189)(182,188)
(183,187)(184,186)(192,196)(193,195)(197,200)(198,202)(199,201)(203,209)
(204,214)(205,213)(206,212)(207,211)(208,210)(218,222)(219,221)(224,228)
(225,227)(230,234)(231,233)(236,240)(237,239)(242,243)(245,246)],
0,
rec(version:=6,
date:="19.07.99"));

MBT("6.Fi22",7,
TEXT1,
[143,144,145,146,143,144,145,146,147,148,147,148,145,146,143,144,147,148,147,
148,147,148,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,
163,164,145,146,143,144,143,144,145,146,165,166,167,168,169,170,171,172,145,
146,143,144,173,174],
[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],
[],
[[[1,2],[2,5],[3,4],[4,6],[5,7],[6,7]],1,1,1,[[3,4],[3,5],[1,6],[2,7],[4,6],[
5,7]],5],
[],
[["Fi22",0],["2.Fi22",0],["3.Fi22",49]],
[(209,212)(210,213)(211,214),(191,197)(192,198)(193,199)(194,200)(195,201)
(196,202),(141,147)(142,148)(143,149)(144,150)(145,151)(146,152)(241,247)
(242,248)(243,249)(244,250)(245,251)(246,252),(  7, 10)(  8, 11)(  9, 12)
( 37, 40)( 38, 41)( 39, 42)( 61, 64)( 62, 65)( 63, 66)( 67, 70)( 68, 71)
( 69, 72)( 85, 86)( 90, 91)(100,101)(113,116)(114,117)(115,118)(129,132)
(130,133)(131,134)(165,168)(166,169)(167,170)(171,173)(172,174)(183,186)
(184,187)(185,188)(215,218)(216,219)(217,220)(221,224)(222,225)(223,226)
(227,228)(235,238)(236,239)(237,240)(241,244)(242,245)(243,246)(247,250)
(248,251)(249,252)(259,262)(260,263)(261,264),(  2,  6)(  3,  5)(  8, 12)
(  9, 11)( 14, 18)( 15, 17)( 20, 21)( 23, 27)( 24, 26)( 35, 36)( 38, 42)
( 39, 41)( 44, 45)( 47, 51)( 48, 50)( 53, 54)( 56, 60)( 57, 59)( 62, 66)
( 63, 65)( 68, 72)( 69, 71)( 74, 78)( 75, 77)( 80, 84)( 81, 83)( 88, 89)
( 95, 99)( 96, 98)(105,106)(108,109)(111,112)(114,118)(115,117)(120,124)
(121,123)(130,134)(131,133)(136,140)(137,139)(142,146)(143,145)(148,152)
(149,151)(154,155)(157,161)(158,160)(163,164)(166,170)(167,169)(178,179)
(181,182)(184,188)(185,187)(192,196)(193,195)(198,202)(199,201)(204,208)
(205,207)(210,211)(213,214)(215,221)(216,226)(217,225)(218,224)(219,223)
(220,222)(230,234)(231,233)(236,240)(237,239)(242,246)(243,245)(248,252)
(249,251)(254,255)(257,258)(260,264)(261,263)],
0,
rec(version:=1,
date:="21.02.94"));

MBT("6.Fi22.2",11,
TEXT1,
[163,164,165,166,167,168,163,164,169,164,163,170,171,164,163,172,173,164,163,
174,175,176,177,178,179,180,181,182,183,184],
[1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[],
[[[1,2],[2,3,4],[3,4,6],[5,7],[6,7]],1],
[],
[["Fi22.2",0],["2.Fi22.2",0],["3.Fi22.2",38]],
[(215,216),(134,135),(121,125)(122,124),(170,171)(177,178)(179,180)(199,200)
(204,205)(208,209)(219,220)(221,222),(  6,  7)( 27, 28)( 42, 43)( 45, 46)
( 79, 80)( 90, 91)(105,106)(116,117)(127,128)(136,139)(137,140)(138,141)
(148,149)(159,160)(219,220)],
0,
rec(version:=1,
date:="21.02.94"));

MBT("6.Fi22.2",13,
TEXT1,
[170,170,171,172,170,170,173,174,175,176,177,178,179,180,181,182,183,184,185,
170,170,186,187,188,189,190,191,192,193,194,195,196],
[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],
[],
[[[1,3],[2,4],[3,5],[4,6],[5,7,8],[6,7,8]]],
[],
[["Fi22.2",0],["2.Fi22.2",0],["3.Fi22.2",38]],
[(221,222),(134,135),( 97,101)( 98,100)(154,157)(155,156)(158,159),(176,177)
(183,184)(185,186)(205,206)(210,211)(214,215)(225,226)(227,228),(  6,  7)
( 27, 28)( 42, 43)( 45, 46)( 79, 80)( 90, 91)(111,112)(122,123)(127,128)
(136,139)(137,140)(138,141)(148,149)(154,157)(155,158)(156,159)(165,166)
(225,226)],
0,
rec(version:=1,
date:="21.02.94"));

MBT("6.Fi22.2",5,
TEXT1,
[101,101,102,103,101,101,102,103,101,101,101,103,102,101,101,101,101,101,101,
101,101,101,103,102,104,105,106,107],
[2,1,1,0,0,0,0],
[[201,202,203,204,209,212,213,214,215,216,217,218,219,226,228,230]],
[,[[2,4],[1,2],[3,5],[4,5]],2],
[[[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0],[0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0],[0,0,0,-1,0,0,0,0,0,0,1,0,
0,0,0,0],[-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,
0],[0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0],[-1,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,-1,
1,1,0,0,0,0,-1,-1,0,-1,1],[1,0,1,0,0,-1,-1,0,0,-1,0,0,1,1,1,-1],[0,1,-1,0,0,0,
0,0,0,1,0,0,-1,-1,0,1]]],
[["Fi22.2",0],["2.Fi22.2",0],["3.Fi22.2",38]],
[(202,203),(200,201),( 86, 90)( 87, 89)(116,120)(117,119)(142,145)(143,144)
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MBT("6.Fi22.2",7,
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MBT("3.Fi22",11,
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MBT("3.Fi22",13,
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MBT("3.Fi22",2,
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MBT("3.Fi22",5,
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MBT("3.Fi22",7,
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MBT("3.Fi22.2",11,
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MBT("3.Fi22.2",13,
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MBT("3.Fi22.2",2,
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MBT("3.Fi22.2",5,
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MBT("3.Fi22.2",7,
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MBT("2.Fi22",11,
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MBT("2.Fi22",13,
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LIBTABLE.LOADSTATUS.ctbfisc1:="userloaded";

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

Quelle ctbfisc1.tbl Sprache: unbekannt

[ Dauer der Verarbeitung: 0.22 Sekunden (vorverarbeitet) ]