Columbo aufrufen.tbl Download desUnknown {[0] [0] [0]}Datei anzeigen
#############################################################################
##
#W ctomonst.tbl GAP table library Thomas Breuer
##
## This file contains the ordinary character tables of the groups $2.B$,
## $B$ and $M$ of the ATLAS.
##
#H ctbllib history
#H ---------------
#H $Log: ctomonst.tbl,v $
#H Revision 4.9 2011/09/28 14:32:22 gap
#H removed revision entry and SET_TABLEFILENAME call
#H TB
#H
#H Revision 4.8 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 4.7 2004/08/31 12:33:33 gap
#H added tables of 4.L2(25).2_3,
#H L2(49).2^2,
#H L2(81).2^2,
#H L2(81).(2x4),
#H 3.L3(4).3.2_2,
#H L3(9).2^2,
#H L4(4).2^2,
#H 2x2^3:L3(2)x2,
#H (2xA6).2^2,
#H 2xL2(11).2,
#H S3xTh,
#H 41:40,
#H 7^(1+4):(3x2.S7),
#H 7xL2(8),
#H (7xL2(8)).3,
#H O7(3)N3A,
#H O8+(3).2_1',
#H O8+(3).2_1'',
#H O8+(3).2_2',
#H O8+(3).(2^2)_{122},
#H S4(9),
#H S4(9).2_i,
#H 2.U4(3).2_2',
#H 2.U4(3).(2^2)_{133},
#H 2.U4(3).D8,
#H 3.U6(2).S3,
#H added fusions 3.A6.2_i -> 3.A6.2^2,
#H L2(49).2_i -> L2(49).2^2,
#H L3(9).2_i -> L3(9).2^2,
#H L4(4).2_i -> L4(4).2^2,
#H G2(3) -> O7(3),
#H L2(17) -> S8(2),
#H 2.L3(4).2_2 -> 2.M22.2
#H 3.L3(4).2_2 -> 3.L3(4).3.2_2
#H 3.L3(4).3 -> 3.L3(4).3.2_2
#H 2^5:S6 -> 2.M22.2
#H O8+(3) -> O8+(3).2_1',
#H O8+(3) -> O8+(3).2_1'',
#H O8+(3) -> O8+(3).2_2',
#H O8+(3) -> O8+(3).(2^2)_{122},
#H O8+(3).2_1 -> O8+(3).(2^2)_{122},
#H O8+(3).2_2 -> O8+(3).(2^2)_{122},
#H 2.U4(3) -> 2.U4(3).2_2',
#H 2.U4(3).2_1 -> 2.U4(3).(2^2)_{133},
#H 2.U4(3).2_2 -> O7(3),
#H 2.U4(3).2_2' -> U4(3).2_2,
#H 2.U4(3).2_3 -> 2.U4(3).(2^2)_{133},
#H 2.U4(3).2_3' -> 2.U4(3).(2^2)_{133},
#H 2.U4(3).4 -> 2.U4(3).D8,
#H 3.U6(2).2 -> 3.U6(2).S3,
#H 3.U6(2).3 -> 3.U6(2).S3,
#H replaced table of psl(3,4):d12 by L3(4).D12,
#H changed table of O8+(3).S4 to a construction table,
#H changed encoding of the table of 12.A6.2_3,
#H added maxes of Sz(8), Sz(8).3,
#H TB
#H
#H Revision 4.6 2002/07/12 06:45:57 gap
#H further tidying up: removed `irredinfo' stuff, rearranged constructions
#H TB
#H
#H Revision 4.5 2001/08/28 16:23:23 gap
#H added a few alias names (suggested by J. McKay)
#H TB
#H
#H Revision 4.4 2001/05/04 16:49:15 gap
#H first revision for ctbllib
#H
#H
#H tbl history (GAP 4)
#H -------------------
#H (Rev. 4.4 of ctbllib coincides with Rev. 4.3 of tbl in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tbl/ctomonst.tbl,v
#H Working file: ctomonst.tbl
#H head: 4.3
#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 4.3
#H date: 2001/03/12 16:36:56; author: gap; state: Exp; lines: +4 -5
#H new name for 2.B
#H
#H TB
#H ----------------------------
#H revision 4.2
#H date: 1999/07/14 11:39:41; 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 15:45:37; author: fceller; state: Exp; lines: +2 -2
#H for version 4
#H ----------------------------
#H revision 1.1
#H date: 1996/10/21 16:00:58; author: sam; state: Exp;
#H first proposal of the table library
#H ==========================================================================
##
MOT("2.B",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[8309562962452852382355161088000000,8309562962452852382355161088000000,
306129918735099415756800,709767191322427392000,709767191322427392000,
26489012826931200,11689182992793600,774741019852800,774741019852800,
130606940160,130606940160,372051542016000,109586090557440,202937204736,
190253629440,190253629440,190253629440,24159191040,6039797760,301989888,
143769600,125829120,887040000,887040000,12000000,12000000,110361968640,
6270566400,637009920,637009920,40310784,19906560,17418240,29859840,29859840,
10616832,19906560,19906560,497664,373248,1128960,1128960,396361728,11796480,
11796480,6291456,5898240,1572864,1474560,524288,196608,98304,196608,196608,
81920,32768,12288,34992,34992,23328,23328,403200,153600,153600,28800,48000,
48000,19200,19200,19200,2640,2640,3981312,746496,737280,663552,276480,276480,
276480,73728,55296,36864,55296,55296,20736,18432,13824,20736,20736,9216,9216,
9216,1536,2304,2304,864,624,624,564480,4704,4704,3584,3584,1792,7200,7200,240,
240,12288,12288,2048,2048,2048,1024,256,512,512,136,136,1296,648,864,864,432,
432,432,216,76,76,38400,4000,3200,2560,960,640,960,960,400,160,80,504,504,264,
264,176,176,92,92,92,92,2304,2304,2304,2304,2304,1728,768,576,576,192,192,384,
384,96,96,50,50,104,52,54,54,448,448,224,224,224,224,3600,360,360,480,480,240,
240,240,120,120,120,120,62,62,62,62,128,128,128,128,132,132,68,68,68,140,140,
216,72,72,72,76,76,78,78,320,320,160,80,80,80,252,84,84,88,88,92,92,92,92,94,
94,94,94,96,96,104,104,110,110,112,112,120,120,120,120,132,132,140,140],
[,[1,1,1,1,1,2,1,8,8,10,10,5,5,5,4,7,7,5,4,7,6,7,23,23,25,25,8,8,8,8,10,8,9,
10,10,8,10,10,10,11,41,41,14,13,13,14,13,14,17,14,18,16,20,20,19,20,22,58,58,
60,60,23,23,23,24,25,25,23,25,25,71,71,30,35,30,30,29,38,38,30,29,30,36,36,34,
29,35,39,39,35,36,38,37,39,39,40,97,97,41,41,42,41,41,41,105,105,107,107,46,
46,50,50,46,50,53,56,56,118,118,60,60,60,60,60,58,58,61,128,128,64,67,64,64,
63,63,70,70,65,67,69,141,141,71,71,71,71,147,147,149,149,76,76,76,76,80,87,80,
79,84,83,87,92,92,90,93,166,166,98,97,170,170,103,103,103,102,104,104,105,105,
106,105,105,105,107,107,107,107,107,107,190,190,192,192,111,111,112,112,198,
198,119,118,118,203,203,123,122,126,126,128,128,211,211,133,133,133,135,137,
137,141,141,142,146,146,147,147,149,149,228,228,230,230,157,157,168,168,236,
236,173,173,182,181,185,185,198,198,203,203],[1,2,3,4,5,6,7,1,2,1,2,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,3,3,4,5,3,7,6,4,5,7,7,7,7,6,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,55,56,57,10,11,10,11,62,63,64,65,66,67,68,69,70,
71,72,13,13,12,13,15,16,17,14,15,18,16,17,15,19,14,16,17,18,20,20,22,20,20,21,
97,98,99,100,101,102,103,104,23,24,25,26,109,110,111,112,113,114,115,116,117,
118,119,31,31,34,35,39,39,39,40,128,129,130,131,132,133,134,135,136,137,138,
139,140,41,42,143,144,145,146,147,148,149,150,44,45,47,47,43,43,46,49,49,52,
48,53,54,51,57,166,167,168,169,58,59,172,173,174,175,176,177,62,62,65,63,64,
68,69,70,66,67,66,67,192,193,190,191,195,194,196,197,71,72,200,202,201,203,
204,74,85,88,89,210,209,97,98,213,214,215,216,217,218,99,100,101,222,223,224,
225,226,227,228,229,230,231,109,110,234,235,236,237,238,239,130,134,136,137,
143,144,246,247],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,1,
2,1,2,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,3,4,5,6,4,5,7,7,7,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
104,8,9,10,11,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,12,12,12,13,15,19,16,17,21,18,22,141,142,143,144,145,146,
149,150,147,148,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
25,26,168,169,170,171,172,173,174,175,176,177,28,27,33,29,30,32,37,38,34,35,
34,35,190,191,192,193,195,194,197,196,198,199,200,202,201,41,42,205,206,207,
208,209,210,211,212,44,45,47,55,49,49,219,220,221,222,223,226,227,224,225,230,
231,228,229,232,233,234,235,71,72,239,238,75,77,78,79,244,245,99,99],,[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,
32,33,34,35,36,37,38,39,40,1,2,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,3,3,6,4,5,7,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,8,9,144,143,145,146,149,150,
147,148,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,13,14,12,15,16,17,178,179,180,181,182,183,184,185,188,189,186,
187,190,191,192,193,194,195,197,196,198,199,200,202,201,23,24,205,206,207,208,
209,210,211,212,213,214,215,216,217,218,28,27,33,223,222,226,227,224,225,228,
229,230,231,232,233,234,235,236,237,43,43,240,241,242,243,245,244,62,62],,,,[
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,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,1,2,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,3,3,4,
5,149,150,147,148,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,188,189,186,187,192,193,190,191,195,194,196,197,8,9,200,202,201,203,204,
205,206,207,208,209,210,211,212,213,214,215,216,218,217,219,220,221,12,12,226,
227,224,225,230,231,228,229,232,233,235,234,23,24,239,238,240,241,242,243,27,
27,246,247],,[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,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,1,2,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,144,143,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,6,3,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,188,189,186,187,192,193,190,191,195,194,197,196,
198,199,200,201,202,203,204,205,206,207,208,210,209,8,9,213,214,215,216,218,
217,219,220,221,223,222,224,225,226,227,230,231,228,229,232,233,21,21,236,237,
239,238,240,241,242,243,245,244,246,247],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,1,2,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,144,143,145,146,149,150,147,148,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,
172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,192,
193,190,191,194,195,196,197,198,199,6,3,3,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,218,217,219,220,221,223,222,226,227,224,225,228,229,230,
231,232,233,234,235,236,237,239,238,240,241,242,243,245,244,246,247],,[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,1,2,130,131,132,133,134,135,136,137,138,139,140,141,142,144,143,145,
146,149,150,147,148,151,152,153,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,195,194,196,197,198,199,200,201,202,
203,204,205,206,207,208,3,3,211,212,213,214,215,216,218,217,219,220,221,223,
222,226,227,224,225,230,231,228,229,232,233,235,234,236,237,238,239,240,241,
242,243,245,244,247,246],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,1,2,1,2,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,192,193,190,191,194,195,
197,196,198,199,200,202,201,203,204,205,206,207,208,209,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,4,5,4,5,230,231,228,229,232,233,235,234,
236,237,239,238,240,241,242,243,244,245,247,246],,,,,,,,[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,1,2,1,2,194,195,197,196,198,199,200,202,201,203,204,205,206,207,
208,210,209,211,212,213,214,215,216,218,217,219,220,221,222,223,224,225,226,
227,230,231,228,229,232,233,234,235,236,237,238,239,240,241,242,243,244,245,
247,246],,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,197,196,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,1,2,1,2,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247]],
0,
[(246,247),(238,239),(238,239)(246,247),(234,235),(228,230)(229,231),
(217,218),(209,210),(201,202),(196,197),(196,197)(217,218)(234,235)(238,239),
(194,195)(217,218)(238,239),(190,192)(191,193),(186,188)(187,189),(186,188)
(187,189)(217,218)(246,247),(147,149)(148,150)(224,226)(225,227),(143,144)
(222,223)(244,245),(194,195)],
["ConstructProj",[["B",[]],["2.B",[]]]]);
ARC("2.B","CAS",[rec(name:="2.bm",
permchars:=(92,93)(106,107)(127,128)(214,215),
permclasses:=(34,35)(52,54,53)(66,67)(78,79)(111,113,112)(115,117,116)
(136,137)(151,154,155,152,153)(160,163,161)(207,208)(213,214)(240,241),
text:="")]);
ALN("2.B",["2.F2+","MC2A","MN2A"]);
ALF("2.B","B",[1,1,2,3,3,4,5,6,6,7,7,8,9,10,11,12,12,13,14,15,16,17,18,18,
19,19,20,21,22,22,23,24,25,26,26,27,28,28,29,30,31,31,32,33,34,35,36,37,
38,39,40,41,42,42,43,44,45,46,46,47,47,48,49,49,50,51,51,52,53,53,54,54,
55,56,57,58,59,60,60,61,62,63,64,64,65,66,67,68,68,69,70,71,72,73,73,74,
75,75,76,77,78,79,79,80,81,81,82,82,83,84,85,86,87,88,89,90,90,91,91,92,
93,94,94,95,96,96,97,98,98,99,100,101,102,103,104,105,105,106,107,108,109,
109,110,110,111,111,112,112,113,113,114,115,116,117,118,119,120,121,122,
123,124,125,125,126,127,128,128,129,130,131,131,132,133,134,135,136,136,
137,138,139,140,140,141,142,142,143,143,144,144,145,145,146,146,147,148,
149,150,151,151,152,153,154,155,155,156,157,158,158,159,159,160,160,161,
162,163,164,165,165,166,167,168,169,169,170,170,171,171,172,172,173,173,
174,175,176,176,177,177,178,179,180,181,182,182,183,183,184,184]);
ALF("2.B","M",[1,2,2,2,3,8,3,4,13,5,16,7,7,9,8,7,9,9,8,9,23,10,11,29,12,
31,13,13,13,15,16,15,37,16,17,15,14,17,17,41,19,47,21,22,22,21,22,25,24,
25,24,22,21,25,23,25,26,28,58,27,59,29,29,30,65,31,33,30,32,33,34,74,35,
36,35,35,37,36,42,39,37,39,35,39,41,37,43,36,43,42,39,43,40,42,43,84,45,
89,47,47,93,47,48,48,50,99,52,103,54,54,55,56,54,56,54,56,55,57,111,59,59,
59,60,60,62,61,116,63,118,64,66,64,64,65,65,66,69,123,69,68,70,128,74,74,
74,75,76,137,77,138,78,78,78,78,79,80,79,85,81,78,86,80,86,85,83,88,142,
144,89,91,146,94,95,94,93,94,95,99,99,154,99,100,100,98,104,103,104,103,
104,105,160,106,161,107,107,108,108,110,162,164,111,111,112,167,114,116,
115,117,118,118,119,171,124,124,124,123,125,126,128,128,174,132,133,137,
135,138,136,139,185,140,186,141,141,189,190,147,192,148,148,155,154,156,
157,162,162,167,167],[
"fusion map is unique up to table automorphisms"
]);
MOT("B",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[4154781481226426191177580544000000,306129918735099415756800,
354883595661213696000,26489012826931200,11689182992793600,387370509926400,
65303470080,372051542016000,109586090557440,202937204736,190253629440,
95126814720,24159191040,6039797760,301989888,143769600,125829120,443520000,
6000000,110361968640,6270566400,318504960,40310784,19906560,17418240,14929920,
10616832,9953280,497664,373248,564480,396361728,11796480,11796480,6291456,
5898240,1572864,1474560,524288,196608,98304,98304,81920,32768,12288,17496,
11664,403200,76800,28800,24000,19200,9600,1320,3981312,746496,737280,663552,
276480,138240,73728,55296,36864,27648,20736,18432,13824,10368,9216,9216,9216,
1536,1152,864,312,564480,4704,4704,1792,1792,3600,120,12288,12288,2048,2048,
2048,1024,256,256,68,1296,648,432,432,216,216,38,38400,4000,3200,2560,960,640,
480,400,160,80,252,132,88,46,46,2304,2304,2304,2304,2304,1728,768,576,576,192,
192,192,96,96,25,104,52,27,448,448,224,224,112,3600,360,360,240,240,120,60,60,
31,31,128,128,128,128,66,68,68,68,70,216,72,36,38,39,320,320,160,80,40,252,84,
84,44,46,46,47,47,96,96,52,55,112,112,120,120,60,66,70],
[,[1,1,1,1,1,6,7,3,3,3,3,5,3,3,5,4,5,18,19,6,6,6,7,6,6,7,6,7,7,7,31,10,9,9,10,
9,10,12,10,13,12,15,14,15,17,46,47,18,18,18,19,18,19,54,22,26,22,22,22,28,22,
22,22,27,26,22,26,29,26,27,28,28,29,30,75,31,31,31,31,31,81,82,35,35,39,39,35,
39,42,44,91,47,47,47,47,46,47,98,49,51,49,49,49,49,53,50,51,53,109,54,54,112,
113,58,58,58,58,61,67,61,60,64,64,67,71,69,72,128,75,75,131,79,79,79,79,80,81,
81,81,81,81,82,82,82,145,146,85,85,86,86,151,91,91,91,155,94,94,96,98,160,102,
102,102,104,105,109,109,109,111,112,113,172,173,120,120,129,177,133,133,140,
140,142,151,155],[1,2,3,4,5,1,1,8,9,10,11,12,13,14,15,16,17,18,19,2,2,3,2,5,4,
3,5,5,5,4,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,7,7,48,49,50,51,52,53,
54,9,9,8,9,11,12,10,11,13,12,11,14,10,12,13,15,15,17,15,16,75,76,77,78,79,80,
18,19,83,84,85,86,87,88,89,90,91,23,23,26,29,29,30,98,99,100,101,102,103,104,
105,106,107,108,31,110,111,112,113,33,34,36,36,32,32,35,38,38,41,37,42,40,45,
128,129,130,46,132,133,134,135,136,48,48,50,49,52,53,51,51,146,145,148,147,
149,150,54,152,154,153,155,56,65,68,159,75,161,162,163,164,165,76,77,78,169,
170,171,172,173,83,84,176,177,178,179,99,103,105,110,184],,[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,1,1,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,2,3,4,3,5,5,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,6,7,83,84,85,86,87,88,89,
90,91,92,93,94,95,96,97,98,8,8,8,9,11,14,12,16,13,17,109,110,111,113,112,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,19,129,130,131,132,133,
134,135,136,21,20,25,22,24,28,26,26,145,146,148,147,150,149,151,152,154,153,
31,156,157,158,159,160,33,34,36,43,38,166,167,168,169,171,170,173,172,174,175,
176,54,179,178,57,59,60,183,76],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,1,32,33,34,35,36,37,38,39,40,41,42,43,
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,
70,71,72,73,74,75,2,2,4,3,5,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,6,110,111,113,112,114,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,9,10,8,11,12,137,
138,139,140,141,142,144,143,145,146,147,148,150,149,151,152,154,153,18,156,
157,158,159,160,161,162,163,164,165,21,20,25,169,171,170,172,173,174,175,176,
177,32,32,180,181,182,183,48],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,1,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,2,3,113,112,114,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,144,143,146,145,148,147,149,150,6,152,154,153,155,
156,157,158,159,160,161,162,163,164,165,166,167,168,8,171,170,173,172,174,175,
176,18,179,178,180,181,182,20,184],,[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,
69,70,71,72,73,74,1,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,4,2,131,132,133,134,
135,136,137,138,139,140,141,142,144,143,146,145,148,147,150,149,151,152,153,
154,155,156,157,158,159,6,161,162,163,164,165,166,167,168,169,170,171,173,172,
174,175,16,177,179,178,180,181,182,183,184],,,,[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,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,1,
92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,113,
112,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,
132,133,134,135,136,137,138,139,140,141,142,143,144,146,145,147,148,149,150,
151,4,2,2,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,171,170,
172,173,174,175,176,177,179,178,180,181,182,183,184],,[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,
89,90,91,92,93,94,95,96,97,1,99,100,101,102,103,104,105,106,107,108,109,110,
111,113,112,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,148,147,
149,150,151,152,153,154,155,156,157,158,2,160,161,162,163,164,165,166,167,168,
169,171,170,173,172,174,175,176,177,178,179,180,181,182,183,184],,,,[1,2,3,4,
5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,1,1,114,115,116,117,118,119,120,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,146,
145,147,148,150,149,151,152,154,153,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,3,3,173,172,174,175,176,177,179,178,180,181,182,183,
184],,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,1,1,147,148,150,149,151,152,154,153,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,173,172,174,175,176,177,178,
179,180,181,182,183,184],,,,,,,,,,,,,,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,150,149,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,1,
1,174,175,176,177,178,179,180,181,182,183,184]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[4371,-493,275,-53,
19,78,-3,-77,51,19,-21,35,-13,11,3,-1,-5,21,-4,-34,20,14,-7,4,-8,5,-2,13,1,1,
10,-21,7,-9,11,-1,-5,-5,3,-1,3,7,-1,-1,-1,-3,6,7,5,-3,0,-1,4,4,-12,-3,4,6,-6,
5,-2,0,-4,2,-3,2,1,-1,5,0,-3,1,3,-1,3,-10,4,-4,2,-2,3,2,3,-5,-1,3,-1,3,1,1,2,
2,2,2,-2,1,-2,1,-7,-2,3,1,-1,1,0,-1,2,0,1,2,0,1,1,-2,0,2,-4,0,-3,2,1,-2,0,1,1,
-1,-1,1,-1,1,0,2,-2,0,0,0,-5,1,-3,-1,-1,-2,0,0,0,0,1,1,-1,-1,1,-2,0,0,0,0,0,
-1,1,0,-3,1,-1,-1,0,-1,1,-1,0,-1,-1,0,0,0,-2,-1,-1,0,0,-1,-1,0,-1,0],[96255,
4863,2047,103,255,351,27,351,223,-1,71,111,31,39,15,-1,-9,55,5,111,57,31,3,9,
13,-5,15,27,3,-5,19,55,3,19,23,11,7,-1,-1,-5,7,11,-1,3,-1,0,9,13,7,3,-3,5,5,5,
25,7,9,7,11,3,-1,5,1,3,-1,3,-1,3,7,-3,3,3,3,-1,3,19,5,5,3,3,1,2,-1,7,-1,3,3,3,
1,1,1,3,3,1,3,0,1,1,11,1,1,3,1,-1,1,-1,1,1,1,1,1,0,0,3,1,-1,5,1,1,-1,-1,-1,1,
1,-1,1,-1,0,-1,1,0,-1,-1,1,1,-1,7,1,3,1,-1,2,0,0,0,0,-1,-1,1,1,-1,1,1,1,-1,1,
-1,0,-1,0,3,-1,1,-1,-1,1,-1,-1,-1,0,0,-1,-1,-1,1,-1,0,-1,-1,-1,1,-2,1,-1],[
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99,-1,-232,92,40,11,-20,8,-5,-8,43,-5,-1,26,-98,-18,-18,30,14,-2,14,-2,-2,-2,
14,6,-2,-2,1,10,13,3,7,3,-3,7,5,-36,-9,12,0,-12,-5,8,0,4,4,3,-4,-1,-5,7,0,3,
-1,3,1,2,-26,2,-2,2,-2,0,2,-6,-6,2,2,2,2,-2,2,0,2,2,-2,-2,1,2,1,-13,-3,-3,3,1,
-1,3,-1,1,-1,-1,-1,1,0,0,0,0,-4,-4,4,1,0,-1,2,-2,1,-1,1,1,-1,2,0,1,-2,2,2,-2,
0,-8,-2,-2,0,0,-2,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,1,-1,-1,-3,-3,-1,1,-1,1,-1,1,
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--> --------------------
--> maximum size reached
--> --------------------
