Quelle  ctofisc2.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctofisc2.tbl                GAP table library               Thomas Breuer
##
##  This file contains the ordinary character tables related to the
##  Fischer groups $Fi_{23}$ and $F_{3+}$ of the ATLAS.
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctofisc2.tbl,v $
#H  Revision 4.22  2012/01/30 08:31:43  gap
#H  removed #H entries from the headers
#H      TB
#H
#H  Revision 4.21  2011/09/28 14:32:11  gap
#H  removed revision entry and SET_TABLEFILENAME call
#H      TB
#H
#H  Revision 4.20  2010/05/05 13:20:01  gap
#H  - added many class fusions,
#H  - changed several class fusions according to consistency conditions,
#H    after systematic checks of consistency
#H    - with Brauer tables w.r.t. the restriction of characters,
#H    - of subgroup fusions with the corresponding subgroup fusions between
#H      proper factors where the factor fusions are stored,
#H    - of subgroup fusions from maximal subgroups with subgroup fusions of
#H      extensions inside automorphic extensions
#H
#H      TB
#H
#H  Revision 4.19  2009/04/27 08:27:21  gap
#H  removed some superfluous explicit <nam>M<n> names,
#H  which are created automatically
#H      TB
#H
#H  Revision 4.18  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 4.17  2008/06/24 15:41:28  gap
#H  exchanged two maxes of Fi24'
#H      TB
#H
#H  Revision 4.16  2006/06/07 07:54:27  gap
#H  unified ConstructMixed and ConstructMGA (for better programmatic access)
#H      TB
#H
#H  Revision 4.15  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 4.14  2003/01/24 15:57:29  gap
#H  replaced several fusions by ones that are compatible with Brauer tables
#H      TB
#H
#H  Revision 4.13  2003/01/21 16:25:31  gap
#H  further standardizations of `InfoText' strings,
#H  added and corrected `Maxes' infos,
#H  added some fusions
#H      TB
#H
#H  Revision 4.12  2002/09/18 15:10:57  gap
#H  corrected `maxes' entry for F3+
#H  (there are two classes of U3(3).2, L2(13).2 each)
#H      TB
#H
#H  Revision 4.11  2002/07/12 06:45:55  gap
#H  further tidying up: removed `irredinfo' stuff, rearranged constructions
#H      TB
#H
#H  Revision 4.10  2002/07/08 16:06:56  gap
#H  changed `construction' component from function (call) to list of function
#H  name and arguments
#H      TB
#H
#H  Revision 4.9  2002/03/25 18:05:19  gap
#H  uncommented `maxes' component of F3+ again,
#H  since Alexander has computed the three missing maxes
#H      TB
#H
#H  Revision 4.8  2001/08/28 16:23:23  gap
#H  added a few alias names (suggested by J. McKay)
#H      TB
#H
#H  Revision 4.7  2001/05/08 15:37:10  gap
#H  admitted the names 3.Fi24' and 3.Fi24 (requested by Juergen Mueller)
#H      TB
#H
#H  Revision 4.6  2001/05/04 16:47:22  gap
#H  first revision for ctbllib
#H
#H
#H  tbl history (GAP 4)
#H  -------------------
#H  (Rev. 4.6 of ctbllib coincides with Rev. 4.5 of tbl in GAP 4)
#H  
#H  RCS file: /gap/CVS/GAP/4.0/tbl/ctofisc2.tbl,v
#H  Working file: ctofisc2.tbl
#H  head: 4.5
#H  branch:
#H  locks: strict
#H  access list:
#H  symbolic names:
#H   GAP4R2: 4.3.0.8
#H   GAP4R2PRE2: 4.3.0.6
#H   GAP4R2PRE1: 4.3.0.4
#H   GAP4R1: 4.3.0.2
#H  keyword substitution: kv
#H  total revisions: 6; selected revisions: 6
#H  description:
#H  ----------------------------
#H  revision 4.5
#H  date: 2001/03/12 16:40:39;  author: gap;  state: Exp;  lines: +17 -2
#H  added fusion 3.F3+.2 -> M
#H  
#H      TB
#H  ----------------------------
#H  revision 4.4
#H  date: 2000/10/14 09:07:01;  author: gap;  state: Exp;  lines: +3 -3
#H  cleaned a comment line for a table that is now available
#H  
#H      TB
#H  ----------------------------
#H  revision 4.3
#H  date: 1999/07/14 11:39:38;  author: gap;  state: Exp;  lines: +4 -3
#H  cosmetic changes for the release ...
#H  
#H      TB
#H  ----------------------------
#H  revision 4.2
#H  date: 1999/07/12 17:06:21;  author: gap;  state: Exp;  lines: +7 -7
#H  commented out `maxes' entry of `F3+'
#H  (currently the tables of 5 maxes are missing,
#H  but I am confident to have them at least for
#H  the release of GAP 4.2)
#H  
#H      TB
#H  ----------------------------
#H  revision 4.1
#H  date: 1997/07/17 15:39:01;  author: fceller;  state: Exp;  lines: +2 -2
#H  for version 4
#H  ----------------------------
#H  revision 1.1
#H  date: 1996/10/21 15:59:18;  author: sam;  state: Exp;
#H  first proposal of the table library
#H  ==========================================================================
##

MOT("3.F3+",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[3765617127571985163878400,3765617127571985163878400,3765617127571985163878400
 ,774741019852800,774741019852800,774741019852800,481579499520,481579499520,
481579499520,44569618329600,7273173980160,7273173980160,7273173980160,
42855402240,42855402240,42855402240,153055008,38211264,119439360,119439360,
119439360,17418240,17418240,17418240,884736,884736,884736,2721600,2721600,
2721600,235146240,235146240,235146240,58786560,58786560,58786560,30233088,
30233088,30233088,2985984,6718464,6718464,6718464,1679616,1679616,1679616,
209952,209952,209952,209952,209952,209952,186624,186624,186624,23328,5184,
52920,52920,52920,6174,6174,6174,6912,6912,6912,4608,4608,4608,2304,2304,2304,
472392,787320,787320,787320,209952,59049,13122,2916,2916,2916,7200,7200,7200,
2880,2880,2880,396,396,396,124416,93312,93312,93312,13824,25920,25920,25920,
15552,15552,15552,3888,7776,7776,7776,3456,3456,3456,864,864,1728,1728,1728,
1296,1296,1296,432,432,432,702,702,702,504,504,504,126,126,126,16200,16200,
16200,1215,1215,1215,810,810,810,96,96,96,51,51,51,2592,3888,3888,3888,648,
1944,1944,1944,162,324,324,324,324,324,324,324,324,324,360,360,360,240,240,
240,252,63,126,126,126,126,126,126,132,132,132,69,69,69,69,69,69,288,288,72,
72,144,144,144,144,144,144,144,144,144,78,78,78,81,81,81,84,84,84,87,87,87,87,
87,87,360,360,360,90,90,90,99,99,99,99,99,99,105,105,105,432,432,108,108,108,
108,117,117,117,117,252,252,252,126,126,126,126,126,126,135,135,135,135,135,
135,180,180,180],
[,[1,3,2,1,3,2,1,3,2,10,11,13,12,14,16,15,17,18,7,9,8,4,6,5,7,9,8,28,30,29,10,
10,10,14,16,15,11,13,12,10,11,13,12,14,16,15,17,17,17,17,17,17,14,16,15,17,18,
58,60,59,61,63,62,19,21,20,25,27,26,25,27,26,73,74,76,75,77,78,79,80,82,81,28,
30,29,28,30,29,89,91,90,40,41,43,42,40,31,33,32,53,55,54,56,37,39,38,41,43,42,
57,57,53,55,54,44,46,45,56,56,56,121,123,122,58,60,59,61,63,62,130,132,131,
133,135,134,136,138,137,67,69,68,142,144,143,77,77,77,77,73,74,76,75,79,80,82,
81,80,82,81,80,82,81,83,85,84,86,88,87,169,170,174,176,175,171,173,172,89,91,
90,180,182,181,183,185,184,92,96,110,111,107,109,108,112,114,113,112,114,113,
121,123,122,202,203,204,124,126,125,211,213,212,208,210,209,130,132,131,136,
138,137,220,222,221,223,225,224,226,228,227,145,145,149,150,152,151,236,235,
238,237,169,169,169,174,176,175,171,173,172,251,253,252,248,250,249,214,216,
215],[1,1,1,4,4,4,7,7,7,1,1,1,1,1,1,1,1,1,19,19,19,22,22,22,25,25,25,28,28,28,
4,4,4,7,7,7,4,4,4,7,7,7,7,4,4,4,4,4,4,7,7,7,7,7,7,7,7,58,58,58,61,61,61,64,64,
64,67,67,67,70,70,70,11,11,11,11,11,11,11,17,17,17,83,83,83,86,86,86,89,89,89,
19,19,19,19,19,22,22,22,19,19,19,19,22,22,22,25,25,25,19,19,25,25,25,22,22,22,
25,25,25,121,121,121,124,124,124,127,127,127,28,28,28,28,28,28,28,28,28,139,
139,139,142,142,142,41,37,37,37,41,37,37,37,41,47,47,47,51,51,51,52,52,52,163,
163,163,166,166,166,58,58,61,61,61,61,61,61,177,177,177,180,180,180,183,183,
183,64,64,64,64,67,67,67,70,70,70,70,70,70,199,199,199,73,78,78,205,205,205,
211,211,211,208,208,208,83,83,83,86,86,86,89,89,89,89,89,89,226,226,226,93,93,
93,104,104,104,121,121,121,121,124,124,124,127,127,127,127,127,127,133,133,
133,133,133,133,163,163,163],,[1,3,2,4,6,5,7,9,8,10,11,13,12,14,16,15,17,18,
19,21,20,22,24,23,25,27,26,1,3,2,31,33,32,34,36,35,37,39,38,40,41,43,42,44,46,
45,47,49,48,50,52,51,53,55,54,56,57,58,60,59,61,63,62,64,66,65,67,69,68,70,72,
71,73,74,76,75,77,78,79,80,82,81,4,6,5,7,9,8,89,91,90,92,93,95,94,96,97,99,98,
100,102,101,103,104,106,105,107,109,108,110,111,112,114,113,115,117,116,118,
120,119,121,123,122,124,126,125,127,129,128,10,10,10,11,13,12,14,16,15,139,
141,140,142,144,143,145,146,148,147,149,150,152,151,153,154,156,155,160,162,
161,157,159,158,22,24,23,19,21,20,169,170,171,173,172,174,176,175,177,179,178,
183,185,184,180,182,181,186,187,188,189,190,192,191,196,198,197,193,195,194,
199,201,200,202,203,204,205,207,206,208,210,209,211,213,212,31,33,32,34,36,35,
223,225,224,220,222,221,58,60,59,229,230,231,232,234,233,236,235,238,237,239,
241,240,242,244,243,245,247,246,74,76,75,74,76,75,97,99,98],,[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,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,1,2,3,1,
2,3,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,123,4,5,6,7,8,9,130,131,
132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,10,18,
14,15,16,14,15,16,177,178,179,183,184,185,180,181,182,186,187,188,189,190,191,
192,196,197,198,193,194,195,199,200,201,202,203,204,22,23,24,208,209,210,211,
212,213,214,215,216,217,218,219,223,224,225,220,221,222,28,29,30,229,230,231,
232,233,234,236,235,238,237,31,32,33,34,35,36,34,35,36,251,252,253,248,249,
250,254,255,256],,,,[1,3,2,4,6,5,7,9,8,10,11,13,12,14,16,15,17,18,19,21,20,22,
24,23,25,27,26,28,30,29,31,33,32,34,36,35,37,39,38,40,41,43,42,44,46,45,47,49,
48,50,52,51,53,55,54,56,57,58,60,59,61,63,62,64,66,65,67,69,68,70,72,71,73,74,
76,75,77,78,79,80,82,81,83,85,84,86,88,87,1,3,2,92,93,95,94,96,97,99,98,100,
102,101,103,104,106,105,107,109,108,110,111,112,114,113,115,117,116,118,120,
119,121,123,122,124,126,125,127,129,128,130,132,131,133,135,134,136,138,137,
139,141,140,142,144,143,145,146,148,147,149,150,152,151,153,154,156,155,160,
162,161,157,159,158,163,165,164,166,168,167,169,170,174,176,175,171,173,172,4,
6,5,183,185,184,180,182,181,186,187,188,189,190,192,191,193,195,194,196,198,
197,199,201,200,202,203,204,205,207,206,211,213,212,208,210,209,214,216,215,
217,219,218,11,13,12,11,13,12,226,228,227,229,230,231,232,234,233,236,235,238,
237,239,241,240,245,247,246,242,244,243,248,250,249,251,253,252,254,256,
255],,[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,
103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,1,2,3,
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,
162,163,164,165,166,167,168,169,170,174,175,176,171,172,173,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,4,5,6,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,223,
224,225,220,221,222,226,227,228,229,230,231,232,233,234,10,10,18,18,239,240,
241,245,246,247,242,243,244,251,252,253,248,249,250,254,255,256],,,,[1,3,2,4,
6,5,7,9,8,10,11,13,12,14,16,15,17,18,19,21,20,22,24,23,25,27,26,28,30,29,31,
33,32,34,36,35,37,39,38,40,41,43,42,44,46,45,47,49,48,50,52,51,53,55,54,56,57,
58,60,59,61,63,62,64,66,65,67,69,68,70,72,71,73,74,76,75,77,78,79,80,82,81,83,
85,84,86,88,87,89,91,90,92,93,95,94,96,97,99,98,100,102,101,103,104,106,105,
107,109,108,110,111,112,114,113,115,117,116,118,120,119,121,123,122,124,126,
125,127,129,128,130,132,131,133,135,134,136,138,137,139,141,140,1,3,2,145,146,
148,147,149,150,152,151,153,154,156,155,160,162,161,157,159,158,163,165,164,
166,168,167,169,170,171,173,172,174,176,175,177,179,178,183,185,184,180,182,
181,186,187,188,189,190,192,191,196,198,197,193,195,194,199,201,200,202,203,
204,205,207,206,211,213,212,208,210,209,214,216,215,217,219,218,220,222,221,
223,225,224,226,228,227,229,230,231,232,234,233,235,236,237,238,239,241,240,
242,244,243,245,247,246,251,253,252,248,250,249,254,256,255],,,,,,[1,3,2,4,6,
5,7,9,8,10,11,13,12,14,16,15,17,18,19,21,20,22,24,23,25,27,26,28,30,29,31,33,
32,34,36,35,37,39,38,40,41,43,42,44,46,45,47,49,48,50,52,51,53,55,54,56,57,58,
60,59,61,63,62,64,66,65,67,69,68,70,72,71,73,74,76,75,77,78,79,80,82,81,83,85,
84,86,88,87,89,91,90,92,93,95,94,96,97,99,98,100,102,101,103,104,106,105,107,
109,108,110,111,112,114,113,115,117,116,118,120,119,121,123,122,124,126,125,
127,129,128,130,132,131,133,135,134,136,138,137,139,141,140,142,144,143,145,
146,148,147,149,150,152,151,153,154,156,155,160,162,161,157,159,158,163,165,
164,166,168,167,169,170,174,176,175,171,173,172,177,179,178,1,3,2,1,3,2,186,
187,188,189,190,192,191,193,195,194,196,198,197,199,201,200,202,203,204,205,
207,206,208,210,209,211,213,212,214,216,215,217,219,218,223,225,224,220,222,
221,226,228,227,229,230,231,232,234,233,235,236,237,238,239,241,240,245,247,
246,242,244,243,251,253,252,248,250,249,254,256,255],,,,,,[1,3,2,4,6,5,7,9,8,
10,11,13,12,14,16,15,17,18,19,21,20,22,24,23,25,27,26,28,30,29,31,33,32,34,36,
35,37,39,38,40,41,43,42,44,46,45,47,49,48,50,52,51,53,55,54,56,57,58,60,59,61,
63,62,64,66,65,67,69,68,70,72,71,73,74,76,75,77,78,79,80,82,81,83,85,84,86,88,
87,89,91,90,92,93,95,94,96,97,99,98,100,102,101,103,104,106,105,107,109,108,
110,111,112,114,113,115,117,116,118,120,119,121,123,122,124,126,125,127,129,
128,130,132,131,133,135,134,136,138,137,139,141,140,142,144,143,145,146,148,
147,149,150,152,151,153,154,156,155,160,162,161,157,159,158,163,165,164,166,
168,167,169,170,174,176,175,171,173,172,177,179,178,180,182,181,183,185,184,
186,187,188,189,190,192,191,196,198,197,193,195,194,199,201,200,202,203,204,
205,207,206,1,3,2,1,3,2,214,216,215,217,219,218,220,222,221,223,225,224,226,
228,227,229,230,231,232,234,233,235,236,237,238,239,241,240,245,247,246,242,
244,243,248,250,249,251,253,252,254,256,255]],
0,
[(248,251)(249,252)(250,253),(237,238),(235,236),(235,236)(237,238),(220,223)
(221,224)(222,225),(208,211)(209,212)(210,213),(203,204),(193,196)(194,197)
(195,198),(180,183)(181,184)(182,185),(171,174)(172,175)(173,176)(242,245)
(243,246)(244,247),(110,111)(188,189)(229,230),(  2,  3)(  5,  6)(  8,  9)
( 12, 13)( 15, 16)( 20, 21)( 23, 24)( 26, 27)( 29, 30)( 32, 33)( 35, 36)
( 38, 39)( 42, 43)( 45, 46)( 48, 49)( 51, 52)( 54, 55)( 59, 60)( 62, 63)
( 65, 66)( 68, 69)( 71, 72)( 75, 76)( 81, 82)( 84, 85)( 87, 88)( 90, 91)
( 94, 95)( 98, 99)(101,102)(105,106)(108,109)(113,114)(116,117)(119,120)
(122,123)(125,126)(128,129)(131,132)(134,135)(137,138)(140,141)(143,144)
(147,148)(151,152)(155,156)(157,160)(158,162)(159,161)(164,165)(167,168)
(171,174)(172,176)(173,175)(178,179)(181,182)(184,185)(191,192)(193,196)
(194,198)(195,197)(200,201)(206,207)(209,210)(212,213)(215,216)(218,219)
(220,223)(221,225)(222,224)(227,228)(233,234)(240,241)(242,245)(243,247)
(244,246)(249,250)(252,253)(255,256),(  2,  3)(  5,  6)(  8,  9)( 12, 13)
( 15, 16)( 20, 21)( 23, 24)( 26, 27)( 29, 30)( 32, 33)( 35, 36)( 38, 39)
( 42, 43)( 45, 46)( 48, 49)( 51, 52)( 54, 55)( 59, 60)( 62, 63)( 65, 66)
( 68, 69)( 71, 72)( 75, 76)( 81, 82)( 84, 85)( 87, 88)( 90, 91)( 94, 95)
( 98, 99)(101,102)(105,106)(108,109)(113,114)(116,117)(119,120)(122,123)
(125,126)(128,129)(131,132)(134,135)(137,138)(140,141)(143,144)(147,148)
(151,152)(155,156)(157,160)(158,162)(159,161)(164,165)(167,168)(172,173)
(175,176)(178,179)(181,182)(184,185)(191,192)(194,195)(197,198)(200,201)
(206,207)(209,210)(212,213)(215,216)(218,219)(221,222)(224,225)(227,228)
(233,234)(240,241)(243,244)(246,247)(249,250)(252,253)(255,256)],
["ConstructProj",[["F3+",[]],,["3.F3+",[-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-13,
-13,-1,-1,11,11,47,47,-7,-7,-1,-1,-1,-1,-1,-1,-1,-1,59,59,-13,-13,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,23,23,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1]]]]);
ARC("3.F3+","CAS",[rec(name:="3.f24c",
permchars:=(60,61)(69,70)(74,75)(88,89)(91,92)(97,98)(99,100)(114,115)(126,127
)(131,132,133)(139,140,142,141)(144,146,145)(148,150,149)(167,168,170,169)(171
,172,173)(194,195)(204,205)(216,217)(224,226,225),
permclasses:=(47,50)(48,51)(49,52)(149,152,151,150),
text:="")]);
ALF("3.F3+","F3+",[1,1,1,2,2,2,3,3,3,4,5,5,5,6,6,6,7,8,9,9,9,10,10,10,11,
11,11,12,12,12,13,13,13,14,14,14,15,15,15,16,17,17,17,18,18,18,19,19,19,
20,20,20,21,21,21,22,23,24,24,24,25,25,25,26,26,26,27,27,27,28,28,28,29,
30,30,30,31,32,33,34,34,34,35,35,35,36,36,36,37,37,37,38,39,39,39,40,41,
41,41,42,42,42,43,44,44,44,45,45,45,46,47,48,48,48,49,49,49,50,50,50,51,
51,51,52,52,52,53,53,53,54,54,54,55,55,55,56,56,56,57,57,57,58,58,58,59,
60,60,60,61,62,62,62,63,64,64,64,65,65,65,66,66,66,67,67,67,68,68,68,69,
70,71,71,71,72,72,72,73,73,73,74,74,74,75,75,75,76,77,78,79,80,80,80,81,
81,81,82,82,82,83,83,83,84,85,86,87,87,87,88,88,88,89,89,89,90,90,90,91,
91,91,92,92,92,93,93,93,94,94,94,95,96,97,98,98,98,99,100,101,102,103,103,
103,104,104,104,105,105,105,106,106,106,107,107,107,108,108,108]);
ALF("3.F3+","3.F3+.2",[1,2,2,3,4,4,5,6,6,7,8,9,9,10,11,11,12,13,14,15,15,
16,17,17,18,19,19,20,21,21,22,23,23,24,25,25,26,27,27,28,29,30,30,31,32,
32,33,34,34,35,36,36,37,38,38,39,40,41,42,42,43,44,44,45,46,46,47,48,48,
49,50,50,51,52,53,53,54,55,56,57,58,58,59,60,60,61,62,62,63,64,64,65,66,
67,67,68,69,70,70,71,72,72,73,74,75,75,76,77,77,78,78,79,80,80,81,82,82,
83,84,84,85,86,86,87,88,88,89,90,90,91,92,92,93,94,94,95,96,96,97,98,98,
99,100,100,101,102,103,103,104,105,106,106,107,108,109,109,110,111,112,
110,112,111,113,114,114,115,116,116,117,118,119,120,121,119,121,120,122,
123,123,124,125,125,126,127,127,128,129,130,130,131,132,132,133,134,135,
133,135,134,136,137,137,138,139,139,140,141,141,142,143,144,142,144,143,
145,146,146,147,148,148,149,150,150,151,152,152,153,154,154,155,155,156,
157,158,158,159,160,161,161,162,163,163,164,165,166,164,166,165,167,168,
169,167,169,168,170,171,171],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables and factors"
]);
ALN("3.F3+",["3.fi24'","3.Fi24'.2M1"]);

MOT("3.F3+.2",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[7531234255143970327756800,3765617127571985163878400,1549482039705600,
774741019852800,963158999040,481579499520,89139236659200,14546347960320,
7273173980160,85710804480,42855402240,306110016,76422528,238878720,119439360,
34836480,17418240,1769472,884736,5443200,2721600,470292480,235146240,
117573120,58786560,60466176,30233088,5971968,13436928,6718464,3359232,1679616,
419904,209952,419904,209952,373248,186624,46656,10368,105840,52920,12348,6174,
13824,6912,9216,4608,4608,2304,944784,1574640,787320,419904,118098,26244,5832,
2916,14400,7200,5760,2880,792,396,248832,186624,93312,27648,51840,25920,31104,
15552,7776,15552,7776,6912,3456,864,3456,1728,2592,1296,864,432,1404,702,1008,
504,252,126,32400,16200,2430,1215,1620,810,192,96,102,51,5184,7776,3888,1296,
3888,1944,324,648,324,324,324,324,720,360,480,240,504,126,126,126,126,264,132,
138,69,138,69,576,576,72,288,144,144,144,144,156,78,162,81,168,84,87,87,87,
720,360,180,90,198,99,198,99,210,105,432,216,216,108,234,234,117,504,252,126,
126,126,135,135,135,360,180,8178940946586009600,441447874560,4180377600,
13271040,2654208,1548288,27512110080,3265173504,82114560,75582720,3732480,
2239488,1889568,933120,93312,23328,9072,15360,9216,3072,50400,1440,622080,
145152,46656,20736,15552,13824,6912,6912,2592,2592,1728,1728,432,432,144,1680,
336,64,34992,11664,11664,3888,2916,1296,1296,486,324,324,2400,160,264,88,576,
192,144,96,156,156,168,28,28,720,720,180,180,90,34,216,216,72,36,40,84,42,46,
46,54,120,66,66,70,78,78,84],
[,[1,2,1,2,1,2,7,8,9,10,11,12,13,5,6,3,4,5,6,20,21,7,7,10,11,8,9,7,8,9,10,11,
12,12,12,12,10,11,12,13,41,42,43,44,14,15,18,19,18,19,51,52,53,54,55,56,57,58,
20,21,20,21,63,64,28,29,30,28,22,23,37,38,39,26,27,29,30,40,37,38,31,32,39,39,
85,86,41,42,43,44,91,92,93,94,95,96,47,48,99,100,54,54,54,51,52,53,56,57,58,
57,58,58,59,60,61,62,117,118,119,120,121,63,64,124,125,126,127,65,68,78,76,77,
79,80,80,85,86,138,139,87,88,142,143,144,91,92,95,96,149,150,151,152,153,154,
101,104,105,106,160,159,161,117,117,119,120,121,167,168,169,145,146,1,1,3,3,5,
5,7,8,8,10,7,8,12,10,10,12,13,14,14,18,20,20,22,22,26,29,31,22,28,29,33,33,31,
37,35,39,40,41,41,47,51,52,54,51,56,52,54,55,56,57,59,59,63,63,65,68,71,76,85,
85,87,89,89,91,91,95,95,93,99,102,105,104,108,115,117,118,124,126,138,145,149,
151,153,160,159,162],[1,1,3,3,5,5,1,1,1,1,1,1,1,14,14,16,16,18,18,20,20,3,3,5,
5,3,3,5,5,5,3,3,3,3,5,5,5,5,5,5,41,41,43,43,45,45,47,47,49,49,8,8,8,8,8,8,12,
12,59,59,61,61,63,63,14,14,14,14,16,16,14,14,14,16,16,18,18,14,18,18,16,16,18,
18,85,85,87,87,89,89,20,20,20,20,20,20,97,97,99,99,29,26,26,29,26,26,29,33,33,
36,36,36,113,113,115,115,41,41,43,43,43,122,122,124,124,126,126,45,45,45,47,
47,49,49,49,136,136,51,55,140,140,142,142,142,59,59,61,61,63,63,63,63,153,153,
66,66,74,74,85,85,85,87,87,89,89,89,93,93,93,113,113,172,173,174,175,176,177,
172,172,173,172,173,173,172,173,173,173,173,189,190,191,192,193,174,174,174,
176,174,175,176,176,174,175,175,176,177,176,177,209,210,211,179,179,179,183,
179,183,183,183,183,184,222,223,224,225,190,189,190,191,230,231,232,233,234,
192,193,192,193,193,240,196,196,197,203,245,209,210,248,249,212,222,224,224,
254,230,231,232],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1,2,22,23,
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,
50,51,52,53,54,55,56,57,58,3,4,5,6,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,7,7,8,9,10,11,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,16,17,14,15,117,118,119,121,120,122,
123,126,127,124,125,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,144,143,22,23,24,25,151,152,149,150,41,42,155,156,157,158,160,159,161,162,
163,164,166,165,52,53,53,69,70,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,172,173,194,195,196,197,198,199,200,201,
202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,
221,174,175,224,225,226,227,228,229,231,230,232,234,233,178,182,181,185,180,
240,241,242,243,244,189,246,247,249,248,250,194,253,252,209,256,255,257],,[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,
30,31,32,33,34,35,36,37,38,39,40,1,2,1,2,45,46,47,48,49,50,51,52,53,54,55,56,
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,
83,84,85,86,3,4,5,6,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,116,7,13,10,11,11,122,123,126,127,124,125,
128,129,130,131,132,133,135,134,136,137,138,139,16,17,142,143,144,145,146,147,
148,151,152,149,150,20,21,155,156,157,158,160,159,161,22,23,24,25,25,167,169,
168,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,
207,208,172,173,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,231,230,174,177,177,235,236,237,238,239,240,241,242,243,244,
245,178,188,249,248,250,251,253,252,192,256,255,195],,,,[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,
1,2,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,3,4,126,127,124,125,128,129,130,
131,132,133,135,134,136,137,138,139,140,141,142,143,144,145,146,147,148,8,9,8,
9,153,154,155,156,157,158,160,159,161,162,163,164,165,166,167,169,168,170,171,
172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,220,221,222,223,173,172,226,227,228,
229,231,230,232,234,233,235,236,237,238,239,240,241,242,243,244,245,246,247,
249,248,250,251,180,180,254,256,255,257],,[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,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,1,2,87,88,89,90,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,121,120,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,3,4,138,139,140,141,142,143,144,145,146,147,148,151,152,149,150,
153,154,155,156,157,158,7,7,13,162,163,164,166,165,167,169,168,170,171,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,
211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,
172,172,232,234,233,235,236,237,238,239,240,241,242,243,244,245,246,247,248,
249,250,251,253,252,254,178,178,257],,,,[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,
94,95,96,97,98,1,2,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,118,119,121,120,122,123,126,127,124,125,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,166,165,167,168,169,170,171,
172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,
229,230,231,232,234,233,235,236,237,238,239,172,241,242,243,244,245,246,247,
249,248,250,251,252,253,254,255,256,257],,,,,,[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,
113,114,115,116,117,118,119,120,121,122,123,1,2,1,2,128,129,130,131,132,133,
135,134,136,137,138,139,140,141,142,144,143,145,146,147,148,151,152,149,150,
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,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,
229,230,231,232,234,233,235,236,237,238,239,240,241,242,243,244,245,246,247,
172,172,250,251,253,252,254,255,256,257],,,,,,[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,
132,133,134,135,136,137,138,139,140,141,1,2,2,145,146,147,148,149,150,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,169,168,170,171,
172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,
191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,
229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,
248,249,250,251,252,253,254,255,256,257]],
0,
[(233,234),(168,169),(159,160)(230,231)(255,256),(149,151)(150,152)(252,253),
(143,144),(143,144)(149,151)(150,152)(168,169)(252,253),(134,135),(134,135)
(233,234),(124,126)(125,127)(248,249),(120,121)(165,166),(120,121)(165,166)
(233,234)],
["ConstructMGA","3.F3+","F3+.2",[[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],[139,142],[140,141],[143,144],[145,146],
[147,148],[149,150],[151,152],[153,154],[155,156],[157,158],[159,160],[161,
162],[163,164],[165,166],[167,170],[168,169],[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],[197,198],[199,200],[201,202],[203,204],[205,206],
[207,208],[209,210],[211,212],[213,214],[215,216],[217,218],[219,220],[221,
222],[223,226],[224,225],[227,228],[229,230],[231,232],[233,234],[235,236],
[237,238],[239,240],[241,242],[243,244],[245,246],[247,248],[249,250],[251,
252],[253,254],[255,256]],()]);
ALF("3.F3+.2","F3+.2",[1,1,2,2,3,3,4,5,5,6,6,7,8,9,9,10,10,11,11,12,12,13,
13,14,14,15,15,16,17,17,18,18,19,19,20,20,21,21,22,23,24,24,25,25,26,26,
27,27,28,28,29,30,30,31,32,33,34,34,35,35,36,36,37,37,38,39,39,40,41,41,
42,42,43,44,44,45,45,46,47,47,48,48,49,49,50,50,51,51,52,52,53,53,54,54,
55,55,56,56,57,57,58,59,59,60,61,61,62,63,63,64,64,64,65,65,66,66,67,68,
69,69,69,70,70,71,71,72,72,73,74,75,76,76,77,77,77,78,78,79,80,81,81,82,
82,82,83,83,84,84,85,85,86,86,87,87,88,89,90,90,91,92,93,94,94,95,95,95,
96,96,96,97,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
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]);
ALF("3.F3+.2","M",[1,4,2,13,3,15,4,5,4,4,5,5,6,7,35,8,37,9,39,11,50,13,13,
15,14,16,13,15,17,15,13,16,16,16,14,17,15,17,17,18,19,70,20,71,22,78,21,
79,24,81,28,27,27,27,28,28,27,28,29,99,30,100,34,110,35,36,35,35,37,37,35,
36,36,41,37,43,39,38,39,42,37,41,42,43,45,119,47,128,49,131,50,50,51,50,
50,51,54,141,57,143,60,59,59,61,59,59,62,59,58,60,62,61,65,154,64,155,70,
72,71,73,73,74,162,76,165,77,166,78,78,82,80,79,81,85,85,89,171,91,92,93,
174,97,177,178,99,99,100,101,109,110,109,110,112,191,114,115,116,116,119,
119,120,128,128,131,129,129,134,134,134,154,154,2,3,8,8,9,10,13,16,14,13,
15,17,16,15,15,17,18,22,22,25,29,30,37,37,41,43,37,37,39,42,41,41,37,39,
40,43,44,47,48,54,58,59,59,62,58,60,60,62,61,59,65,65,75,74,78,78,78,86,
89,89,93,96,96,99,100,99,100,101,111,116,116,117,116,124,128,130,137,138,
146,154,163,163,167,171,171,174],[
"fusion map is unique up to table automorphisms"
]);
ALN("3.F3+.2",["3.fi24","3.Fi24'.2","MN3A"]);

MOT("F3+",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[1255205709190661721292800,258247006617600,160526499840,44569618329600,
2424391326720,14285134080,153055008,38211264,39813120,5806080,294912,907200,
78382080,19595520,10077696,2985984,2239488,559872,69984,69984,62208,23328,
5184,17640,2058,2304,1536,768,472392,262440,209952,59049,13122,972,2400,960,
132,124416,31104,13824,8640,5184,3888,2592,1152,864,864,576,432,144,234,168,
42,5400,405,270,32,17,2592,1296,648,648,162,108,108,108,120,80,252,63,42,42,
44,23,23,288,288,72,72,48,48,48,26,81,81,81,28,29,29,120,30,33,33,35,432,432,
108,36,117,117,117,117,84,42,42,45,45,60],
[,[1,1,1,4,5,6,7,8,3,2,3,12,4,6,5,4,5,6,7,7,6,7,8,24,25,9,11,11,29,30,31,32,
33,34,12,12,37,16,17,16,13,21,22,15,17,23,23,21,18,22,51,24,25,54,55,56,27,58,
31,31,29,30,33,34,34,34,35,36,69,70,72,71,37,74,75,38,40,46,47,45,48,48,51,84,
85,86,52,89,88,54,56,92,93,94,59,59,61,62,100,99,102,101,69,72,71,107,106,
90],[1,2,3,1,1,1,1,1,9,10,11,12,2,3,2,3,3,2,2,3,3,3,3,24,25,26,27,28,5,5,5,5,
5,7,35,36,37,9,9,9,10,9,9,10,11,9,9,11,10,11,51,52,53,12,12,12,57,58,17,15,17,
15,17,19,20,20,67,68,24,24,25,25,73,74,75,26,26,26,26,27,28,28,83,29,32,32,87,
89,88,35,36,37,37,94,39,39,39,44,51,51,51,51,52,53,53,55,55,67],,[1,2,3,4,5,6,
7,8,9,10,11,1,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,2,3,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,4,5,6,57,58,59,60,
61,62,63,64,66,65,10,9,69,70,71,72,73,75,74,76,77,78,79,80,82,81,83,84,85,86,
87,88,89,13,14,93,92,24,95,96,97,98,100,99,102,101,103,104,105,30,30,41],,[1,
2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,1,1,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,2,3,54,55,56,
57,58,59,60,61,62,63,64,65,66,67,68,4,8,6,6,73,75,74,76,77,78,79,80,82,81,83,
84,85,86,10,88,89,90,91,93,92,12,95,96,97,98,100,99,102,101,13,14,14,107,106,
108],,,,[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,
27,28,29,30,31,32,33,34,35,36,1,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,66,65,67,68,69,70,72,71,2,75,74,76,77,78,
79,80,81,82,83,84,85,86,87,89,88,90,91,5,5,94,95,96,97,98,100,99,102,101,103,
105,104,106,107,108],,[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,
48,49,50,1,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,71,73,
74,75,76,77,78,79,80,81,82,2,84,85,86,87,88,89,90,91,93,92,94,95,96,97,98,4,4,
8,8,103,105,104,107,106,108],,,,[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,
45,46,47,48,49,50,51,52,53,54,55,56,57,1,59,60,61,62,63,64,66,65,67,68,69,70,
71,72,73,75,74,76,77,78,79,80,82,81,83,84,85,86,87,89,88,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,107,106,108],,,,,,[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,
64,66,65,67,68,69,70,72,71,73,1,1,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
90,91,93,92,94,95,96,97,98,99,100,101,102,103,105,104,107,106,108],,,,,,[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,
57,58,59,60,61,62,63,64,66,65,67,68,69,70,72,71,73,74,75,76,77,78,79,80,82,81,
83,84,85,86,87,1,1,90,91,92,93,94,95,96,97,98,99,100,101,102,103,105,104,106,
107,108]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[8671,351,-33,
247,-77,85,4,13,31,-1,-1,21,-9,-15,27,-9,3,9,0,12,-3,0,-3,5,-2,-1,7,-1,4,-5,
13,4,-5,4,1,-3,3,7,-5,7,-1,1,-2,-1,-1,1,1,5,-1,2,0,1,2,-3,3,0,-1,1,-3,-3,0,3,
3,0,0,0,-1,1,2,-1,1,1,-1,0,0,-1,-1,-1,-1,1,-1,-1,0,1,1,1,-1,0,0,1,0,0,0,0,1,1,
-2,-1,0,0,0,0,-2,-1,-1,0,0,-1],[57477,1157,133,534,615,210,48,-15,69,21,5,27,
86,70,23,22,7,14,-4,16,10,4,1,14,0,5,5,-3,-6,30,12,-6,3,3,7,3,2,6,15,6,6,6,6,
3,-1,-3,-3,2,0,2,4,2,0,9,0,0,1,0,4,8,-2,2,1,-1,1,1,1,-1,2,-1,0,0,2,0,0,2,2,-1,
-1,-1,0,0,0,0,0,0,0,-1,-1,1,0,-1,-1,-1,0,0,0,0,1,1,-2,-2,2,0,0,0,0,1],[249458,
2354,370,2705,869,167,113,14,50,42,2,8,41,55,5,49,37,23,5,1,7,13,-2,6,-1,6,-2,
2,32,14,23,5,5,2,4,0,0,29,5,5,9,-1,11,-3,5,2,2,-1,3,-1,1,2,-1,5,-1,2,0,0,7,-1,
4,2,1,2,-2,-2,2,0,3,0,-1,-1,0,0,0,3,3,0,0,1,-1,-1,1,2,-1,-1,0,0,0,1,0,0,0,1,
-1,-1,2,0,1,1,1,1,-1,-1,-1,-1,-1,-1],[555611,5083,91,-535,2300,518,-49,14,155,
27,-5,36,169,154,-20,-23,28,34,7,19,-2,-5,-2,21,0,3,3,3,5,50,-13,5,-4,5,8,-4,
1,-7,20,-7,9,2,-7,0,4,2,2,-2,0,1,4,1,0,15,0,3,-1,0,-5,7,1,-2,-2,1,1,1,2,0,-3,
0,0,0,1,0,0,-3,-3,0,0,0,0,0,0,-1,-1,-1,-1,0,0,-1,-1,1,1,1,-1,-1,-1,0,-2,-2,1,
1,1,0,0,0,0,-1],[1603525,1925,-315,6475,-275,-140,76,-77,5,-35,21,0,35,0,-19,
-21,45,8,8,0,12,-12,3,0,0,1,1,-3,49,-5,-5,-5,4,-2,0,0,0,23,5,-1,-5,-4,-4,1,-3,
-1,-1,0,-2,0,1,0,0,0,0,0,-1,0,3,-1,-3,-1,0,2,0,0,0,0,0,0,0,0,0,
E(23)+E(23)^2+E(23)^3+E(23)^4+E(23)^6+E(23)^8+E(23)^9+E(23)^12+E(23)^13
 +E(23)^16+E(23)^18,E(23)^5+E(23)^7+E(23)^10+E(23)^11+E(23)^14+E(23)^15
 +E(23)^17+E(23)^19+E(23)^20+E(23)^21+E(23)^22,1,1,1,1,1,0,0,1,-2,1,1,0,-1,-1,
0,0,0,0,0,-1,-1,-1,1,1,1,1,1,0,0,0,0,0,0],
[GALOIS,[6,5]],[1666833,11153,273,3093,-1848,987,-66,51,209,49,-15,83,-43,
-105,56,21,-24,47,2,30,3,-6,3,14,0,1,9,1,-12,-21,24,-12,6,6,3,3,3,5,-16,5,-11,
-1,-4,4,0,-1,-1,3,1,0,-1,2,0,-7,2,2,1,0,0,-4,0,-1,0,2,0,0,-1,-1,-1,2,0,0,-1,0,
0,1,1,1,1,0,1,1,-1,0,0,0,0,0,0,-3,0,0,0,-1,-4,-4,2,1,-1,-1,-1,-1,-1,0,0,-1,-1,
-1],[4864431,13871,-1105,4836,4917,867,-24,156,175,-97,15,56,164,155,101,-28,
-43,11,20,20,-13,8,-4,5,5,-9,7,-1,3,39,21,3,12,3,-4,0,0,4,13,4,-4,-5,4,-7,-3,
4,4,3,-1,0,0,-3,1,11,2,2,-1,0,5,5,-1,-1,2,-1,-1,-1,-2,0,-1,2,-1,-1,0,0,0,0,0,
0,0,1,-1,-1,0,0,0,0,1,0,0,-1,0,0,0,0,1,1,1,-1,0,0,0,0,3,1,1,-1,-1,1],[
32715683,43043,-2653,25298,-1837,2618,26,-91,291,-77,3,133,-238,-70,275,-46,
83,-22,-22,38,-22,-10,5,0,0,-5,11,3,-1,-19,44,-1,8,-1,-7,-3,0,18,3,18,10,6,0,
-5,3,-3,-3,6,-2,0,0,0,0,-2,-2,-2,-1,-1,-4,-4,-1,5,2,-1,-1,-1,3,1,0,0,0,0,0,0,
0,-2,-2,1,1,-1,0,0,0,-1,-1,-1,0,0,0,2,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,1,1,0],[
35873145,53625,4473,27000,4158,2457,27,54,185,105,-7,120,120,189,246,120,-18,
21,3,27,33,3,6,-14,0,9,9,1,27,0,54,27,0,0,0,8,0,8,14,8,0,-7,-1,6,2,2,2,5,3,-1,
-4,-2,0,0,3,-3,1,0,6,6,3,0,0,0,0,0,0,0,1,-2,0,0,0,-1,-1,0,0,0,0,0,1,1,0,0,0,0,
0,0,0,0,-1,0,0,1,2,2,-1,0,-1,-1,2,2,1,0,0,0,0,0],[40536925,39325,3165,49075,
880,70,-11,169,-35,85,13,0,-5,-30,40,147,96,58,13,-3,-18,21,9,-5,9,1,1,-3,70,
25,34,-11,-2,-2,0,0,0,55,-8,-17,-5,10,1,4,4,1,1,-2,4,1,0,-1,1,0,0,0,-1,0,-6,
-2,6,1,0,-2,0,0,0,0,-2,1,0,0,0,0,0,1,1,1,1,-2,0,0,0,1,1,1,1,0,0,0,0,0,0,0,-2,
-2,-2,1,0,0,0,0,2,-2,-2,0,0,0],[48893768,95304,840,-3340,-14113,4760,62,-64,
840,8,8,168,-204,-420,-33,-12,-33,84,-6,66,0,6,0,35,0,0,8,0,8,-55,-37,8,-1,8,
4,0,0,-12,-33,-12,-4,0,6,-1,-1,0,0,-4,2,2,1,-1,0,-15,-3,0,0,0,3,-9,0,-3,-3,0,
0,0,-2,0,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,0,1,-1,-1,-1,1,0,0,1,0,0,0,0,3,3,0,-1,1,
1,1,1,-1,0,0,0,0,1],[74837400,37400,-4200,-4575,20130,2310,285,105,280,-120,
-8,0,545,210,-22,33,-78,-22,5,21,-18,-3,9,15,-6,-8,0,0,15,60,-3,15,6,-3,0,0,0,
1,10,1,-15,10,1,6,-2,1,1,-2,0,1,1,-1,0,0,0,0,0,0,-3,5,3,-4,0,-1,
3*E(3)-3*E(3)^2,-3*E(3)+3*E(3)^2,0,0,3,0,0,0,0,0,0,1,1,1,1,0,0,0,-1,0,0,0,-1,
0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,-1,0,0,0,0,0],
[GALOIS,[14,2]],[79452373,104533,5845,-2444,24178,3010,148,247,405,245,-11,48,
412,490,-38,-44,130,106,16,4,34,-8,7,14,0,13,-3,-3,-14,85,-5,13,13,-2,8,0,0,
-24,18,0,20,6,-6,2,-2,3,3,-2,2,-2,0,2,0,6,3,0,1,0,-5,-5,-2,1,1,-2,-2,-2,0,0,
-1,2,0,0,0,0,0,-2,-2,1,1,0,0,0,0,-2,1,1,0,0,0,2,0,0,0,-1,3,3,0,-1,0,0,0,0,-1,
0,0,0,0,0],[112168056,19448,6776,42510,14322,2415,228,156,-8,168,24,6,566,35,
170,110,98,-37,8,8,23,20,-4,14,0,0,0,8,66,30,21,-15,3,-6,-2,6,0,-14,10,10,6,7,
4,6,6,4,4,3,-3,0,0,2,0,-15,-3,0,0,-1,5,5,2,2,-1,2,2,2,-2,2,-1,2,0,0,0,0,0,0,0,
0,0,0,-1,-1,0,0,0,0,0,0,0,1,0,0,0,-1,1,1,-2,0,0,0,0,0,-1,0,0,0,0,1],[
159402880,158080,896,-260,49312,5572,-260,-260,896,64,0,105,1084,896,-32,-4,
32,40,-32,32,-4,-4,-4,35,0,0,0,0,-17,145,-17,-17,-17,1,5,1,-1,-4,32,-4,4,-4,
-4,-8,0,-4,-4,0,-2,0,0,-1,0,15,-3,-3,0,0,-1,7,-1,1,-1,1,-1,-1,-1,1,-1,-1,0,0,
-1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,-1,1,-1,-1,0,-1,-1,-1,1,0,0,0,0,-1,0,0,0,0,
-1],[281380736,11648,8064,132860,10064,-952,668,182,128,0,0,-14,308,0,-16,156,
144,-16,-16,0,24,12,6,0,0,0,0,0,155,-34,-34,-7,20,2,-2,-6,-1,32,-16,8,0,8,-4,
0,0,2,2,0,0,0,0,0,0,10,4,-2,0,0,6,2,3,2,0,2,0,0,0,-2,0,0,0,0,-1,1,1,6,-6,0,0,
0,0,0,0,-1,-1,-1,0,0,0,-2,0,-1,-1,0,2,2,-1,0,0,0,0,0,0,0,0,1,1,0],[415098112,
256256,-2816,106600,-29480,9400,166,-104,768,0,0,162,-280,-440,296,-152,-8,8,
26,46,-8,10,-8,16,2,0,0,0,-23,-50,112,-23,-23,-5,6,-6,0,24,-24,24,0,0,-12,0,0,
0,0,0,0,0,0,0,-2,0,0,0,0,0,-8,-4,1,2,1,-1,1,1,0,-2,4,1,-1,-1,0,0,0,0,0,0,0,0,
0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,-3,0,0,0,0,0,0,1,1,0,0,0],[635618984,323752,
3752,146120,-39127,4046,-652,104,552,168,40,34,184,-406,-167,8,-55,130,-32,
-28,-10,8,8,14,0,0,-8,0,-58,-4,104,23,-4,5,2,2,0,48,-15,0,-24,-6,-6,-3,1,0,0,
-2,0,-2,0,2,0,-5,-2,1,0,0,-16,4,2,4,2,1,-1,-1,-2,2,2,-1,0,0,0,0,0,0,0,0,0,1,0,
0,0,-1,-1,-1,0,0,0,-1,-1,0,0,-1,0,0,0,0,0,0,0,0,2,0,0,1,1,1],[1069551175,
175175,13895,47425,-23045,-3605,769,427,135,-105,71,0,665,35,-109,-31,107,35,
-55,-19,11,5,11,0,0,-1,7,7,-122,-50,-32,40,4,-5,0,0,0,45,27,21,-15,-9,-9,3,-1,
3,3,-1,3,-1,4,0,0,0,0,0,-1,0,8,-4,2,2,-4,-1,-1,-1,0,0,0,0,0,0,0,0,0,-1,-1,-1,
-1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-2,-2,0,0,0,0,0,0],[1112333222,
246246,-13146,415415,1694,749,938,182,230,-210,-42,-28,-273,21,6,-297,174,69,
6,-6,-3,-18,6,0,0,-6,-6,-2,209,-16,83,20,2,8,-4,4,0,131,14,11,15,5,-4,6,-6,2,
2,-3,-3,0,0,0,0,-10,-1,-1,0,0,3,3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-3,0,0,0,
1,1,0,2,-1,-1,0,0,0,2,1,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,-1,-1,0],[1264015025,
352625,18865,72800,93050,7595,872,-91,625,105,65,0,1400,595,194,256,10,-13,32,
28,43,4,-11,0,0,5,-3,1,-73,80,-10,8,-1,-1,0,0,-2,28,-14,4,0,7,10,6,-10,1,1,-1,
3,2,0,0,0,0,0,0,-1,0,-2,2,-5,8,1,-1,1,1,0,0,0,0,0,0,-2,0,0,2,2,-1,-1,0,1,1,0,
-1,-1,-1,0,0,0,0,0,1,1,0,-2,-2,1,0,0,0,0,0,0,0,0,0,0,0],[1337276304,388752,
-11376,147420,92016,10368,891,0,528,-112,-48,154,924,720,-48,-36,-144,-48,-21,
-9,0,-9,0,0,7,0,0,0,0,81,81,0,0,0,2,-6,1,12,24,12,-4,0,21,-4,0,0,0,0,-4,-3,0,
0,-1,-5,1,-2,0,0,9,-3,0,-3,0,0,0,0,-2,-2,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,1,1,0,-3,-3,0,-1,0,0,0,0,0,-1,-1,1,1,1],[1540153692,695772,4956,
-16758,-47619,15561,9,441,1436,28,60,217,-630,-399,-99,138,-3,81,9,33,9,-15,9,
0,0,-4,4,-4,9,-99,-45,9,-18,0,-3,1,0,-22,5,-22,10,5,5,1,-3,5,5,-3,1,-3,-1,0,0,
-8,1,1,0,0,3,3,-3,-3,0,0,0,0,3,1,0,0,0,0,0,0,0,2,2,-1,-1,1,-1,-1,-1,0,0,0,0,0,
0,0,1,0,0,0,-1,-1,-1,1,-1,-1,-1,-1,0,0,0,1,1,0],[2346900864,750464,-2688,
-40116,92400,13020,222,-300,896,-64,0,189,-244,840,80,-180,48,80,26,30,-12,18,
-12,-35,0,0,0,0,-21,15,-57,-21,15,6,-11,-3,0,-4,32,-4,-4,-4,-4,8,0,-4,-4,0,2,
0,-4,1,0,9,0,0,0,0,-9,-1,3,-1,-3,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,1,0,0,0,0,-1,-1,-1,-1,2,2,-1,-1,1,0,0,0,0,1],[3178094920,886600,
-9912,-111800,-99407,17962,-263,-182,1480,-120,-56,120,-440,-966,-431,72,177,
10,1,33,-6,9,-6,21,0,0,-8,0,7,-20,-74,7,34,-2,0,8,0,-8,-23,-8,0,-2,1,-3,1,-2,
-2,-2,-6,1,0,1,0,0,3,-3,0,0,6,-2,3,4,0,-2,0,0,0,0,-3,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,1,1,1,-1,0,0,0,-1,0,0,1,-2,-2,1,0,0,0,0,0,1,0,0,0,0,0],[3208653525,648725,
32725,425775,51150,3360,1011,-105,85,525,69,0,455,280,158,463,46,104,23,-17,
16,-5,7,0,0,1,-7,-3,-15,-60,84,-15,-6,3,0,0,0,43,22,19,15,-8,7,-6,6,-5,-5,0,0,
3,-1,0,0,0,0,0,-1,0,4,-4,1,-4,-2,-1,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,2,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,4,4,1,0,-1,-1,-1,-1,0,0,0,0,0,0],[3283490925,439725,25965,
421200,71280,5670,1296,0,45,405,-35,0,-960,450,-24,144,288,-6,-24,-36,-18,36,
0,15,-6,9,1,-3,0,0,81,0,0,0,0,0,0,24,0,-24,0,-6,6,0,4,0,0,-2,0,-2,0,-1,2,0,0,
0,-1,0,9,-3,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,-3,-3,0,0,0,0,0,0,-1,2,2,0,0,0],[5005499499,627627,-24213,376740,151965,
-882,1305,0,747,-413,-37,-126,84,294,-123,228,-147,102,-15,-3,-18,21,0,0,0,-9,
-1,3,-99,45,27,-18,18,0,2,2,0,60,-27,12,4,-6,15,1,-7,0,0,2,-2,-1,0,0,0,15,0,3,
1,0,3,-9,-3,-3,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,-1,0,
0,0,3,3,-3,1,0,0,0,0,0,0,0,0,0,-1],[5775278080,0,49152,457600,58432,1408,760,
832,0,0,0,-120,0,-384,0,384,192,0,0,48,0,24,0,-16,-2,0,0,0,58,40,-32,58,13,4,
0,-8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,-3,3,0,0,0,0,6,0,3,0,0,0,0,0,-4,-1,
1,1,0,-1,-1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,1,1,0,0,
0],[6471756928,267904,-43904,697060,39016,9856,1594,910,-640,0,0,28,28,-56,
280,-380,-56,-8,10,-2,16,-2,-2,0,0,0,0,0,190,-44,46,28,10,1,4,-4,-1,8,8,-16,0,
8,8,0,0,2,2,0,0,0,0,0,0,10,1,1,0,0,-2,-2,-2,4,-2,1,1,1,0,0,0,0,0,0,-1,0,0,-6,
6,0,0,0,0,0,0,1,1,1,0,0,0,-2,-1,-1,-1,0,2,2,2,0,0,0,0,0,0,0,0,1,1,0],[
7150713570,484770,-16926,-46215,227403,12348,-288,-351,354,106,-14,-105,2001,
84,147,-231,219,-60,12,-24,12,12,-15,35,0,-10,-2,-6,-72,45,0,9,18,0,-5,-1,0,
21,3,-3,1,12,-6,7,7,-3,-3,4,4,-2,0,-1,0,-15,3,3,0,0,0,0,0,-3,0,0,0,0,1,-1,-1,
-1,0,0,0,0,0,-1,-1,-1,-1,1,0,0,0,0,0,0,1,0,0,1,-1,0,0,0,0,0,0,1,0,0,0,0,-1,0,
0,0,0,1],[8529641472,1441792,0,509952,-8448,17472,-1320,768,0,0,0,272,-512,0,
640,0,0,64,-8,0,0,0,0,-26,-12,0,0,0,-24,-6,120,-24,-6,-6,-8,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,2,0,2,2,2,0,0,0,4,0,-2,0,-2,0,0,0,0,-5,-2,0,0,0,1,1,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,-2,0,0,0,-1,0,0,0,0,1,1,1,1,-1,0,0,-1,-1,0],[9100908180,
616980,17556,745290,-71433,8757,-477,-819,-44,84,-76,105,714,-399,327,330,87,
-87,3,-21,-3,-21,-3,0,0,-4,-4,-4,117,0,45,36,27,0,5,1,1,10,-17,10,-6,1,-17,3,
-1,1,1,5,3,-1,0,0,0,15,-3,-3,0,0,-3,-3,-3,0,-3,0,0,0,-1,1,0,0,0,0,1,0,0,2,2,
-1,-1,-1,-1,-1,0,0,0,0,0,0,0,-1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,-1],[
9441555200,1478400,8960,-204400,305360,14840,-1900,350,1280,0,0,0,1680,1400,
-336,-112,-112,24,-12,-4,-40,-4,14,0,0,0,0,0,98,80,-46,-10,-10,-4,0,0,0,-16,
-16,-16,0,-16,-16,0,0,2,2,0,0,0,-1,0,0,0,0,0,0,0,2,-6,2,0,2,0,2,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,2,-1,-1,0,-1,-1,0,0,0,0,0,2,2,2,0,-1,-1,-1,-1,0,0,0,0,0,
0],[10169903744,1299584,-11648,-151372,-48664,3500,2204,728,-384,64,0,69,1028,
-560,344,-140,-56,200,20,-20,-44,4,-8,-21,0,0,0,0,44,35,-55,44,8,-1,9,-3,0,
-36,-24,12,4,-12,0,-8,0,0,0,0,-2,0,0,-1,0,3,6,0,0,0,1,5,4,-1,-2,-1,1,1,-1,1,3,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,1,0,0,3,0,0,0,-1,-3,-3,0,1,0,0,0,0,-1,0,
0,0,0,-1],[10776585600,-105600,40320,-27000,11880,-7560,2160,27,640,0,0,0,
-120,0,24,-120,72,-48,24,0,-24,24,3,-10,18,0,0,0,-27,0,27,-27,0,0,0,0,0,-8,-8,
-8,0,-8,-8,0,0,7,-5,0,0,0,1,2,0,0,0,0,0,0,3,3,-3,0,0,0,0,0,0,0,-1,-1,0,0,0,0,
0,0,0,3,-3,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,7,-5,1,0,1,1,1,1,-1,0,0,0,0,0],[
10776585600,-105600,40320,-27000,11880,-7560,2160,27,640,0,0,0,-120,0,24,-120,
72,-48,24,0,-24,24,3,-10,18,0,0,0,-27,0,27,-27,0,0,0,0,0,-8,-8,-8,0,-8,-8,0,0,
-5,7,0,0,0,1,2,0,0,0,0,0,0,3,3,-3,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,-3,3,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,-5,7,1,0,1,1,1,1,-1,0,0,0,0,0],[13904165275,
2277275,37275,-120575,-179300,18340,682,-182,1435,315,27,0,-175,-840,-364,-63,
-372,176,14,-30,12,-18,-6,0,0,3,-5,3,61,-20,-47,-20,7,-2,0,0,0,-23,4,25,-15,4,
4,0,0,-2,-2,0,6,0,0,0,0,0,0,0,-1,0,9,5,-3,-4,3,2,0,0,0,0,0,0,0,0,0,0,0,-3,-3,
0,0,-2,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0],[13904165275,
675675,10395,1599325,21175,-11900,304,-1001,155,35,-21,0,-315,0,-513,189,135,
72,0,0,-36,0,-9,0,0,-1,7,3,196,25,-65,-20,-20,-8,0,0,0,161,-25,-7,5,-4,8,-1,3,
-1,-1,0,2,0,0,0,0,0,0,0,1,0,-9,3,0,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,1,
0,0,0,-2,1,1,0,0,0,0,0,0,0,0,-1,-1,2,-1,0,0,0,0,0,0,0,0,0,0],[14507059905,
1605825,-11583,0,-216513,19683,0,0,1665,-15,-63,-120,0,-729,567,0,-81,-81,0,0,
27,0,0,9,2,9,1,1,0,0,0,0,0,0,0,-8,-3,0,-9,0,0,-9,0,3,3,0,0,3,-3,0,0,-3,2,0,-3,
3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,-1,0,0,0,1,0,
0,-1,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0],[17068369920,665600,43008,542400,-62832,
672,996,960,0,0,0,120,320,-336,752,192,-48,-112,-4,-12,0,12,0,-14,0,0,0,0,24,
60,-12,24,-21,6,0,8,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,4,-2,0,0,3,-3,0,0,-12,-4,0,
-4,3,2,0,0,0,0,-2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,
1,1,-2,-2,-2,0,0,0,0,0],[17161712568,1438008,47544,-218322,170478,8883,1107,
-702,-200,168,-40,-132,-426,231,582,-114,222,159,15,15,27,3,18,-14,0,0,0,8,
-27,0,-54,-27,0,0,8,4,0,-14,-2,10,6,19,-5,6,2,-2,-2,-1,-3,-1,0,-2,0,3,3,3,0,0,
-6,-6,-3,0,0,0,0,0,-2,0,1,-2,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,-1,1,0,0,
1,-2,-2,1,0,0,0,0,0,1,0,0,0,0,1],[18481844304,1548624,37968,-245322,150282,
-3780,-1107,378,464,336,16,-21,-546,420,66,-234,186,84,-15,-39,12,-27,-6,0,0,
0,0,0,27,0,-27,27,0,0,-1,3,0,-22,-22,2,6,-4,5,-6,-2,14,-10,4,0,1,1,0,0,3,-3,0,
0,0,-3,-3,3,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,
0,0,-7,5,-1,0,1,1,1,1,0,0,0,0,0,1],[18481844304,1548624,37968,-245322,150282,
-3780,-1107,378,464,336,16,-21,-546,420,66,-234,186,84,-15,-39,12,-27,-6,0,0,
0,0,0,27,0,-27,27,0,0,-1,3,0,-22,-22,2,6,-4,5,-6,-2,-10,14,4,0,1,1,0,0,3,-3,0,
0,0,-3,-3,3,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,
0,0,5,-7,-1,0,1,1,1,1,0,0,0,0,0,1],[25027497495,1216215,18711,114660,254628,
10899,207,819,23,63,-89,70,252,315,324,132,36,-117,27,-9,3,-21,3,0,0,-5,3,-1,
-63,-54,-45,18,0,0,-10,6,0,32,-4,8,-12,-13,5,0,4,-1,-1,-5,3,1,0,0,0,10,-2,4,1,
0,3,3,-3,6,0,0,0,0,-2,-2,0,0,0,0,0,0,0,-2,-2,1,1,0,-1,-1,0,0,0,0,0,0,0,2,0,0,
0,0,-1,-1,-1,0,0,0,0,0,0,0,0,1,1,-2],[27808330550,-250250,-6090,1171625,
-77935,4550,-40,455,310,-210,166,0,-455,210,-527,105,273,-86,40,-60,-18,-12,
-9,0,0,10,10,6,122,50,5,14,14,2,0,0,0,-47,-23,1,-15,10,-2,-3,1,-5,-5,-2,0,-2,
0,0,0,0,0,0,0,0,-3,1,-6,-2,0,-2,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,2,-1,-1,
0,0,0,0,0,0,0,0,1,1,-2,0,0,0,0,0,0,0,0,0,0,0],[29444114700,300300,-22260,
655200,150975,-16695,-3087,819,1100,-420,140,0,-840,105,-129,0,-129,-39,33,-3,
57,45,3,0,0,4,-4,-4,-36,0,-45,45,-27,0,0,0,0,44,-25,20,0,5,-1,3,-1,-1,-1,5,-3,
-1,0,0,0,0,0,0,0,1,3,3,0,0,-3,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,1,1,-1,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,-1,-1,2,0,0,0,0,0,0,0,0,0,0,0],[35594663104,192192,23744,
25480,342892,154,856,-728,960,-448,64,-196,1176,-574,60,-184,-52,-30,-48,20,
26,-4,8,0,0,0,0,0,46,19,100,-8,1,4,-8,4,0,-48,-12,0,-16,6,6,-16,4,0,0,-2,2,-2,
0,0,0,5,2,-1,0,0,-4,0,2,3,-1,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,1,1,0,
0,0,1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,-1,-1],[36858678129,-1825551,37233,
132678,115182,25515,1458,0,-591,-399,17,-21,1134,-945,-378,-90,-162,135,-54,
-54,-45,18,0,0,0,9,9,-7,0,0,0,0,0,0,-1,3,-2,-6,30,18,6,3,-6,6,2,0,0,-1,-3,2,0,
0,0,3,-3,0,1,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,-2,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,
0,0,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[37337059200,560000,-49280,
1470000,114060,7140,-1122,-924,-640,0,128,0,560,-140,1100,-464,76,20,-34,22,4,
22,4,0,0,0,0,0,93,30,-6,12,3,-6,0,0,1,-16,-28,-16,0,-4,2,0,-4,-4,-4,-4,0,2,-1,
0,0,0,0,0,0,0,10,2,1,2,1,2,-2,-2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,1,1,0,2,2,-1,0,-1,-1,-1,-1,0,0,0,0,0,0],[38641860608,2555904,0,366080,
-224896,31712,-1336,-832,0,512,0,8,-384,0,192,0,0,-96,-24,0,0,0,0,1,8,0,0,0,
-40,-31,32,41,-4,-4,4,0,-1,0,0,0,-16,0,0,8,0,0,0,0,-4,0,0,1,0,5,-1,2,0,0,0,0,
0,-3,0,0,0,0,2,0,1,1,2,2,-1,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,1,0,0,1,0,-1,-1,1,0,
0,0,-1,0,0,0,0,1,0,0,-1,-1,-1],[40043995992,-744744,53592,1023750,-83358,8253,
1692,0,-168,-280,-8,42,-210,609,618,102,114,-39,24,-12,-27,-24,0,0,0,0,0,-8,
18,-45,-108,-63,-18,0,6,2,0,-6,-6,18,-10,21,-6,-10,-2,0,0,1,-1,-2,0,0,0,0,-3,
3,0,0,12,0,6,3,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],[44493328880,880880,-45584,1309490,51722,
-13888,1664,728,-144,-336,48,105,1274,-224,-238,-494,154,32,32,-8,64,-8,-8,0,
0,0,0,0,-172,-100,-28,-10,8,-1,5,1,0,54,18,-18,-6,0,0,6,6,0,0,0,0,0,0,0,0,15,
-3,-3,0,0,4,-4,4,-4,4,-1,1,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,
0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1],[45049495491,2573571,40131,1002456,
68607,-7938,-1377,0,195,315,-77,-84,-168,-126,39,216,-369,138,39,-45,54,27,0,
0,0,-9,7,3,0,0,81,0,0,0,-4,-4,0,-24,15,-24,0,18,-15,-9,-5,0,0,-2,0,1,0,0,0,6,
-3,-3,1,0,9,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,-1,
0,0,0,-3,-3,0,0,0,0,0,0,0,0,0,0,0,0],[46602926370,1171170,-10206,2100735,
-197802,-11907,1215,0,354,-294,-14,-105,1071,189,-90,63,54,45,-9,27,45,-45,0,
0,0,6,-2,2,0,0,0,0,0,0,-5,-1,0,39,30,-9,-9,-15,-15,-6,-2,0,0,1,-3,1,0,0,0,-15,
3,3,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,3,3,0,0,-2,-1,-1,0,0,0,0,0,1,1,1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[54234085491,1384371,93555,531441,0,0,0,
729,-1485,27,99,216,729,0,0,81,0,0,0,0,0,0,9,19,12,-1,-9,3,0,0,0,0,0,0,-4,0,3,
-27,0,-3,9,0,0,0,0,-3,-3,0,0,0,1,-5,0,-9,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,
-1,0,0,-1,-1,-1,-1,0,0,0,1,0,0,0,-1,0,0,-1,0,0,0,-1,0,0,0,0,1,1,1,1,1,0,0,0,0,
-1],[54481627200,1601600,34880,-382200,-260700,1740,525,-546,320,0,64,0,1400,
-220,68,-184,-220,-76,41,-31,-4,5,14,0,-7,0,0,0,39,30,-33,-42,3,3,0,0,0,32,-4,
-16,0,-4,5,0,4,2,2,4,0,1,0,0,-1,0,0,0,0,0,-1,-1,-1,2,-1,-1,-1,-1,0,0,0,0,
E(21)^2+E(21)^8+E(21)^10+E(21)^11+E(21)^13+E(21)^19,E(21)+E(21)^4+E(21)^5
 +E(21)^16+E(21)^17+E(21)^20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-1,-1,0,0,0,0,0,0,E(21)^2+E(21)^8+E(21)^10+E(21)^11+E(21)^13+E(21)^19,
E(21)+E(21)^4+E(21)^5+E(21)^16+E(21)^17+E(21)^20,0,0,0],
[GALOIS,[60,2]],[55616661100,2702700,-101780,-236600,445555,11935,-242,91,300,
-420,44,0,0,595,-189,232,19,27,54,-26,-41,-2,-5,0,0,-4,-4,4,82,-80,28,28,-17,
4,0,0,0,-60,3,12,0,3,-6,3,11,3,3,-1,-3,2,0,0,0,0,0,0,0,0,4,0,-2,0,1,0,-2,-2,0,
0,0,0,0,0,0,0,0,2,2,-1,-1,-1,1,1,0,-2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0],[63831063582,393822,36126,767637,216513,19683,0,0,-1314,294,78,57,
405,-729,-567,405,81,-81,0,0,27,0,0,6,-1,-6,2,-2,0,0,0,0,0,0,-3,1,0,-27,9,-27,
-3,-9,0,-3,-3,0,0,3,-3,0,0,2,-1,12,3,3,0,0,0,0,0,0,0,0,0,0,-1,1,3,0,-1,-1,0,0,
0,-3,-3,0,0,-1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,2],[
65393917952,1441792,0,-403456,-64768,-11200,248,896,0,0,0,-48,-512,0,640,0,0,
64,-8,0,0,0,0,6,6,0,0,0,32,50,-40,5,14,2,-8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
2,0,-6,-3,0,0,0,0,4,0,-2,0,-2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,5,-4,0,
0,0,-2,0,0,0,1,0,0,0,0,-1,-1,-1,-1,-1,0,0,0,0,0],[65393917952,1441792,0,
-403456,-64768,-11200,248,896,0,0,0,-48,-512,0,640,0,0,64,-8,0,0,0,0,6,6,0,0,
0,32,50,-40,5,14,2,-8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,2,0,-6,-3,0,0,0,0,4,0,
-2,0,-2,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-4,5,0,0,0,-2,0,0,0,1,0,0,0,
0,-1,-1,-1,-1,-1,0,0,0,0,0],[67331776512,2342912,57344,1440192,-109824,336,
-2256,624,0,0,0,-188,320,896,-256,-64,-256,32,-40,32,-16,8,-16,-14,0,0,0,0,
-42,-114,84,-42,21,3,12,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,-8,1,1,0,0,-4,8,
2,2,-1,-1,-1,-1,0,0,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0,0,1,0,
0,0,0,0,0,0,0,-2,0,0,1,1,0],[71189326208,2946944,-24192,591500,-148192,-448,
-1906,182,128,0,0,-42,-700,-504,-160,300,288,56,2,-18,-48,-6,6,0,0,0,0,0,-205,
110,-34,-43,2,2,-6,-2,0,32,-16,8,0,8,-4,0,0,2,2,0,0,0,0,0,0,0,3,-3,0,0,6,2,3,
2,0,2,0,0,0,-2,0,0,0,0,0,0,0,-6,6,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,1,0,0,0,2,2,-1,
0,0,0,0,0,0,0,0,0,0,0],[74887473024,3978624,8064,-728676,-43416,29484,1782,0,
384,64,0,-1,-1716,504,-744,-36,72,-96,-42,18,36,18,0,-21,0,0,0,0,0,-81,-81,0,
0,0,-1,-1,1,36,24,-12,4,12,0,-8,0,0,0,0,-2,0,0,-1,0,-1,-1,-1,0,0,-9,3,0,3,0,0,
0,0,-1,-1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,1,1,-1,3,3,0,1,0,0,
0,0,-1,0,0,-1,-1,-1],[77007684600,3003000,-21000,-625275,-215820,-4410,207,
189,120,-280,-40,0,1365,-210,-156,69,276,78,-21,-21,6,15,-3,0,0,-8,0,0,72,-45,
0,-9,-18,0,0,0,0,-51,12,-3,5,-6,3,8,-4,-3,-3,2,2,-1,2,0,0,0,0,0,0,0,0,0,0,3,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,
-2*E(13)+E(13)^2-2*E(13)^3-2*E(13)^4+E(13)^5+E(13)^6+E(13)^7+E(13)^8-2*E(13)^9
 -2*E(13)^10+E(13)^11-2*E(13)^12,E(13)-2*E(13)^2+E(13)^3+E(13)^4-2*E(13)^5
 -2*E(13)^6-2*E(13)^7-2*E(13)^8+E(13)^9+E(13)^10-2*E(13)^11+E(13)^12,0,0,0,0,
0,0],
[GALOIS,[69,2]],[77108871168,2555904,0,437760,220032,10080,360,-1728,0,-512,0,
168,-384,0,192,0,0,-96,-24,0,0,0,0,-35,0,0,0,0,-72,45,0,9,18,0,4,0,-1,0,0,0,
16,0,0,-8,0,0,0,0,4,0,4,1,0,-15,-3,0,0,1,0,0,0,-3,0,0,0,0,-2,0,1,1,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,-1,-1,0,0,0,0,1,-2,-2,1,1,1,0,0,0,0,1],[
77379702400,3203200,-76160,1155700,-119240,10360,-980,910,-640,0,0,0,-980,
-560,136,-236,88,64,28,-20,-56,-20,-2,0,0,0,0,0,-170,100,46,-8,-8,1,0,0,0,8,8,
-16,0,8,8,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,-2,-2,-2,4,-2,1,1,1,0,0,0,0,0,0,0,-1,
-1,6,-6,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0],[
102385217025,-2013375,76545,921375,155925,2835,-3726,0,705,105,-143,0,735,
-945,285,-225,-27,-57,42,-54,27,18,0,0,0,-3,5,1,0,0,-81,0,0,0,0,0,3,15,21,15,
15,-9,6,-3,1,0,0,-5,-3,-2,0,0,0,0,0,0,-1,0,-9,3,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,3,3,0,0,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0],[
111233322200,-1001000,-24360,2720900,129305,-700,-457,182,-40,280,-104,0,
-1820,-420,-407,-252,57,-20,-29,39,-12,27,6,0,0,0,-8,0,137,65,-61,-25,-16,2,0,
0,0,-76,41,20,-20,-4,5,1,1,2,2,4,4,1,0,0,0,0,0,0,0,0,3,-5,-3,1,0,-2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,-1,-1,-1,1,0,0,0,0,0,0,0,
0,0,0],[111233322200,2202200,29400,-104650,-71170,-29995,-565,182,-40,-280,-8,
0,350,105,134,150,78,161,-1,51,-3,15,6,0,0,0,0,-8,-25,-25,-25,29,20,-10,0,0,0,
-22,14,2,-10,5,5,-10,10,2,2,1,-1,1,0,0,0,0,0,0,0,0,-9,-1,-9,-1,0,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,-1,-1,0,0,0,0,0,0,0,0,-1,-1,-1,-1,0,0,0,0,0,0,0,
0,0,0],[118588933386,-2453814,-105462,531441,0,0,0,729,1674,594,90,-189,729,0,
0,81,0,0,0,0,0,0,9,-35,0,-10,6,-6,0,0,0,0,0,0,11,3,0,-27,0,-3,9,0,0,0,0,-3,-3,
0,0,0,1,1,0,-9,0,0,0,-1,0,0,0,0,0,0,0,0,-1,-1,1,1,0,0,0,0,0,-1,-1,-1,-1,0,0,0,
1,0,0,0,-1,1,1,-1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,-1],[132390354096,
-3027024,34992,-132678,16038,7290,-1458,0,816,-336,-16,21,-1134,270,270,90,54,
54,-54,-54,18,-18,0,0,7,0,0,0,0,0,0,0,0,0,1,-3,0,6,6,-18,-6,6,6,6,2,0,0,2,0,2,
0,0,-1,-3,3,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,-E(21)^2-E(21)^8-E(21)^10-E(21)^11
 -E(21)^13-E(21)^19,-E(21)-E(21)^4-E(21)^5-E(21)^16-E(21)^17-E(21)^20,0,0,0,0,
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,E(21)^2+E(21)^8+E(21)^10
 +E(21)^11+E(21)^13+E(21)^19,E(21)+E(21)^4+E(21)^5+E(21)^16+E(21)^17+E(21)^20,
0,0,-1],
[GALOIS,[77,2]],[139317477376,-1441792,0,-296960,-137984,-4928,-824,2560,0,0,
0,176,512,0,-640,0,0,-64,8,0,0,0,0,-14,0,0,0,0,40,94,40,-14,22,-2,8,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,-2,0,-10,-4,2,0,0,0,-4,0,2,0,2,0,0,0,0,1,-2,0,0,0,1,1,
0,0,0,0,0,0,0,-1,-2,1,1,0,0,0,2,0,0,0,1,0,0,0,0,-1,-1,-1,-1,1,0,0,-1,-1,0],[
140095612800,-1372800,32640,-351000,154440,-10800,1836,351,640,0,0,0,-1560,
-120,312,-24,168,24,-12,-12,0,12,-9,10,-11,0,0,0,-27,0,27,-27,0,0,0,0,0,-8,-8,
-8,0,-8,-8,0,0,7,-5,0,0,0,0,-2,-1,0,0,0,0,0,3,3,-3,0,0,0,0,0,0,0,1,1,1,1,0,0,
0,0,0,-3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,7,-5,1,0,0,0,0,0,1,-1,-1,0,0,0],[
140095612800,-1372800,32640,-351000,154440,-10800,1836,351,640,0,0,0,-1560,
-120,312,-24,168,24,-12,-12,0,12,-9,10,-11,0,0,0,-27,0,27,-27,0,0,0,0,0,-8,-8,
-8,0,-8,-8,0,0,-5,7,0,0,0,0,-2,-1,0,0,0,0,0,3,3,-3,0,0,0,0,0,0,0,1,1,1,1,0,0,
0,0,0,3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-5,7,1,0,0,0,0,0,1,-1,-1,0,0,0],[
142169187069,2393469,60669,-767637,216513,0,0,0,-963,573,93,-6,-405,0,-567,
-405,81,0,0,0,0,0,0,21,0,-3,5,-3,0,0,0,0,0,0,-6,-6,-3,27,9,27,3,0,0,-3,-3,0,0,
0,0,0,0,1,0,-12,3,0,1,0,0,0,0,0,0,0,0,0,-2,2,-3,0,0,0,1,0,0,3,3,0,0,-1,0,0,0,
0,0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,-2],[142378652416,-2306304,
-48384,711256,-103928,35392,-734,364,-1280,0,0,-84,1512,504,-72,24,360,72,-18,
18,48,6,12,0,0,0,0,0,-59,-50,-14,-59,4,4,-4,-4,0,-32,-56,16,0,-8,4,0,0,4,4,0,
0,0,0,0,0,6,-3,-3,0,0,-6,6,-3,-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
1,1,0,0,0,2,-1,0,0,0,-2,-2,1,0,0,0,0,0,0,0,0,0,0,0],[145650089984,2555904,0,
-610816,-330880,19040,1544,896,0,-512,0,-216,-384,0,192,0,0,-96,-24,0,0,0,0,
21,0,0,0,0,32,5,32,32,-22,-4,4,0,3,0,0,0,16,0,0,-8,0,0,0,0,4,0,-4,1,0,9,0,0,0,
0,0,0,0,-3,0,0,0,0,-2,0,-3,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,0,0,1,0,0,
0,1,0,0,0,1,2,2,-1,-1,1,0,0,0,0,1],[150201655296,-2342912,57344,600000,
-244992,25872,1248,1392,0,0,0,-204,-320,896,256,-64,-256,-32,40,32,-16,8,-16,
14,0,0,0,0,6,-30,-12,6,-3,-3,-12,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,0,0,3,-3,0,
0,-4,-8,2,-2,-1,1,-1,-1,0,0,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,-1,0,0,0,0,-2,-2,1,1,2,0,0,0,0,0],[151397207325,2764125,42525,0,295245,0,0,
0,-675,-315,-51,0,0,0,-243,0,-243,0,0,0,0,0,0,0,0,9,1,-3,0,0,0,0,0,0,0,0,1,0,
-27,0,0,0,0,9,-3,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,-E(33)^5-E(33)^7-E(33)^10-E(33)^13-E(33)^14
 -E(33)^19-E(33)^20-E(33)^23-E(33)^26-E(33)^28,-E(33)-E(33)^2-E(33)^4-E(33)^8
 -E(33)^16-E(33)^17-E(33)^25-E(33)^29-E(33)^31-E(33)^32,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0],
[GALOIS,[86,5]],[156321775827,-85293,39123,-531441,0,0,0,1458,-621,-189,-45,
27,-729,0,0,-81,0,0,0,0,0,0,18,14,0,-5,3,3,0,0,0,0,0,0,7,3,-3,27,0,3,-9,0,0,0,
0,-6,-6,0,0,0,-4,2,0,9,0,0,-1,1,0,0,0,0,0,0,0,0,1,-1,-1,2,0,0,1,0,0,1,1,-2,-2,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,-1,-1,2,2,-1,0,0,0,0,1],[156321775827,
-85293,39123,1062882,0,0,0,-729,-621,-189,-45,27,1458,0,0,162,0,0,0,0,0,0,-9,
14,0,-5,3,3,0,0,0,0,0,0,7,3,-3,-54,0,-6,18,0,0,0,0,3,3,0,0,0,-4,2,0,-18,0,0,
-1,1,0,0,0,0,0,0,0,0,1,-1,2,-1,0,0,1,0,0,-2,-2,1,1,0,0,0,0,0,0,0,0,0,0,-2,0,0,
0,-1,0,0,0,0,2,2,-1,-1,2,0,0,0,0,-2],[160313753600,0,-81920,-582400,471680,
-3520,2096,728,0,0,0,0,0,-1280,0,256,-128,0,0,16,64,-32,-8,0,7,0,0,0,44,80,8,
-64,-10,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-8,0,4,0,-2,0,-2,
-2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,-1,-1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,1,0,0,0],[164572397352,-577368,13608,-531441,0,0,0,-729,-216,216,72,27,
-729,0,0,-81,0,0,0,0,0,0,-9,-1,6,-8,0,0,0,0,0,0,0,0,7,3,0,27,0,3,-9,0,0,0,0,3,
3,0,0,0,-1,-1,0,9,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,-1,-1,0,0,0,0,0,1,1,1,1,0,0,0,
1,0,0,0,-1,-E(29)-E(29)^4-E(29)^5-E(29)^6-E(29)^7-E(29)^9-E(29)^13-E(29)^16
 -E(29)^20-E(29)^22-E(29)^23-E(29)^24-E(29)^25-E(29)^28,-E(29)^2-E(29)^3
 -E(29)^8-E(29)^10-E(29)^11-E(29)^12-E(29)^14-E(29)^15-E(29)^17-E(29)^18
 -E(29)^19-E(29)^21-E(29)^26-E(29)^27,1,0,0,0,-1,0,0,0,0,-1,-1,-1,-1,-1,0,0,0,
0,1],
[GALOIS,[91,2]],[169598100672,192192,52416,1120392,3564,-32886,648,0,960,448,
64,-28,1176,-126,60,72,-180,-30,-48,36,-54,-36,0,0,0,0,0,0,0,-81,0,0,0,0,-8,
-4,0,-48,-12,0,16,6,6,16,4,0,0,-2,-2,-2,0,0,0,17,-1,-1,0,1,0,0,0,3,0,0,0,0,-2,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
-1,-1,1],[178514751987,-2814669,124659,0,0,0,0,0,243,-405,99,162,0,0,0,0,0,0,
0,0,0,0,0,-9,-9,-9,-9,3,0,0,0,0,0,0,6,-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,
0,0,1,-1,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[184117100544,2555904,0,-539136,114048,
-2592,3240,0,0,512,0,-56,-384,0,192,0,0,-96,-24,0,0,0,0,-15,-8,0,0,0,0,81,0,0,
0,0,4,0,3,0,0,0,-16,0,0,8,0,0,0,0,-4,0,0,1,0,-11,-2,-2,0,1,0,0,0,-3,0,0,0,0,2,
0,-3,0,-2,-2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,1,
0,0,1,1,-1],[190685695200,114400,-92960,978900,49830,420,1068,-624,480,-160,
96,0,-2780,280,190,148,-170,-80,28,-44,-20,4,16,35,0,0,0,0,-12,-75,-3,-12,33,
-3,0,0,0,-36,30,12,20,-12,0,2,-6,0,0,0,2,0,0,-1,0,0,0,0,0,0,-11,1,4,1,1,1,1,1,
0,0,-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,-3,-3,0,-1,0,0,0,0,
-1,0,0,0,0,0],[197813862400,0,0,716800,-112640,-8960,1408,-896,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-104,40,-32,58,-14,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-2,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,
-1,-1,0,0,0,0,0,0,0,0,0,-E(13)+2*E(13)^2-E(13)^3-E(13)^4+2*E(13)^5+2*E(13)^6
 +2*E(13)^7+2*E(13)^8-E(13)^9-E(13)^10+2*E(13)^11-E(13)^12,
2*E(13)-E(13)^2+2*E(13)^3+2*E(13)^4-E(13)^5-E(13)^6-E(13)^7-E(13)^8+2*E(13)^9
 +2*E(13)^10-E(13)^11+2*E(13)^12,1,1,0,0,0,0,0,0],
[GALOIS,[97,2]],[200219979960,120120,-11592,-741195,-128106,-14868,-1260,-819,
184,-56,24,35,861,0,78,21,198,24,24,0,-12,12,-3,0,0,8,0,0,63,-27,45,-18,0,0,
-5,3,0,-23,22,1,-11,4,4,-2,-6,1,1,0,-2,0,0,0,0,5,-1,2,0,0,-3,-3,3,-3,0,0,0,0,
-1,-1,0,0,0,0,0,0,0,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,
0,0,0,-2*E(5)+E(5)^2+E(5)^3-2*E(5)^4,E(5)-2*E(5)^2-2*E(5)^3+E(5)^4,-1],
[GALOIS,[99,2]],[205353825600,123200,-56000,-760200,-94380,5250,-2040,-168,
-960,0,64,0,-280,70,404,184,-236,62,-28,16,10,4,-8,0,0,0,0,0,66,30,-60,-15,3,
3,0,0,0,48,12,0,0,-6,-6,0,4,0,0,-2,0,-2,1,0,0,0,0,0,0,0,4,-4,-2,2,1,-1,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-2*E(12)^7+2*E(12)^11,2*E(12)^7-2*E(12)^11,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0],
[GALOIS,[101,5]],[205940550816,562848,54432,-610740,-119394,4536,-2754,0,672,
-160,32,-134,-372,-756,-426,-180,270,-156,6,54,0,-18,0,-21,0,0,0,0,0,81,81,0,
0,0,-2,2,0,12,6,12,20,0,-6,2,2,0,0,-4,2,2,0,-1,0,10,1,1,0,0,9,-3,0,-3,0,0,0,0,
0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-2,-1,0,0,-1,-3,-3,0,-1,0,0,0,0,
-1,0,0,1,1,0],[222758961152,-5111808,0,-173056,-110848,29120,1904,-832,0,0,0,
-48,768,0,-384,0,0,192,48,0,0,0,0,-14,0,0,0,0,-40,50,32,41,-4,-4,-8,0,2,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-2,0,-6,-3,0,0,1,0,0,0,6,0,0,0,0,0,0,-2,1,0,0,2,0,0,0,0,
0,0,0,0,0,0,-1,-1,-1,0,0,0,-2,0,-1,-1,1,0,0,0,0,0,0,0,0,-2,0,0,0,0,0],[
225247477455,1336335,7119,-626535,126522,-3969,-1053,0,207,7,-65,-70,1113,315,
402,153,234,-93,51,-9,-9,-9,0,0,0,3,3,-1,0,-81,0,0,0,0,10,-6,0,9,18,9,-23,-9,
9,-2,-2,0,0,-5,1,1,0,0,0,-10,2,-4,1,0,0,0,0,3,0,0,0,0,2,2,0,0,0,0,0,0,0,-3,-3,
0,0,0,-1,-1,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,-1,2],[
250274974950,-2252250,-54810,-511875,381150,6930,-846,819,230,350,-42,0,2205,
-630,198,-3,-18,-54,-18,18,-78,6,3,0,0,10,-6,6,-63,-135,-45,18,0,0,0,0,0,77,
14,-19,5,14,-4,-10,-6,-1,-1,6,2,0,0,0,0,0,0,0,0,0,3,3,-3,-3,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,
0],[282049015248,-432432,-93744,132678,-304722,-20412,1458,0,336,336,-112,273,
1134,756,-378,-90,-162,-108,-54,-54,36,18,0,0,0,0,0,0,0,0,0,0,0,0,-7,1,0,-6,
-42,18,6,12,-6,-6,2,0,0,-4,0,2,0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,
-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[
336033532800,-873600,-13440,-378000,-23220,-3780,-378,-756,-640,0,-128,0,
-1680,420,-420,-144,-84,84,66,42,12,-18,12,0,0,0,0,0,27,0,54,27,0,0,0,0,-2,
-16,-28,-16,0,-4,2,0,4,-4,-4,4,0,-2,4,0,0,0,0,0,0,0,6,6,3,0,0,0,0,0,0,0,0,0,0,
0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,2,-1,0,1,1,-2,-2,0,0,0,0,0,
0]],
[(106,107),(101,102),( 99,100),( 99,100)(101,102),(92,93),(88,89),(85,86),
(81,82),(74,75),( 71, 72)(104,105),(65,66),( 65, 66)( 71, 72)( 81, 82)
( 92, 93)(104,105),(46,47)(78,79)(95,96)]);
ARC("F3+","CAS",[rec(name:="f24c",
permchars:=( 60, 61)( 69, 70)( 74, 75)( 88, 89)( 91, 92)( 97, 98)( 99,100),
permclasses:=(19,20)(61,62),
text:=[
"names:=f24c; f24^\n",
"     order: 2^21.3^16.5^2.7^3.11.13.17.23.29\n",
"          = 1,255,205,709,190,661,721,292,800\n",
"     number of classes: 108\n",
"     source / origin:\n",
"            derived by frame, j.s. and pahlings, h.\n",
"            using cas [1982]\n",
"            from table of f24, which was\n",
"            privately communicated by hunt, d. \n",
""])]);
ARC("F3+","projectives",["3.F3+",[[783,79,15,0,54,27,0,0,15,7,-1,8,16,15,-2,0,
6,7,-2,6,3,0,0,6,-1,3,3,-1,0,9,0,0,0,3,4,0,2,0,6,0,4,3,0,-2,2,0,0,-1,1,2,3,2,
1,5,-1,2,1,1,0,4,0,1,0,1,-E(3)+E(3)^2,E(3)-E(3)^2,2,0,0,0,-1,-1,2,1,1,0,0,0,0,
0,-1,-1,1,0,0,0,0,0,0,1,0,-1,-1,1,0,0,0,1,0,0,0,0,2,1,1,-1,-1,-1],[64584,1352,
72,0,-297,216,0,0,72,8,8,34,-16,-36,-25,0,-9,20,2,18,0,0,0,9,2,0,8,0,0,-9,0,0,
0,6,2,2,3,0,-9,0,-4,0,0,-1,-1,0,0,-4,2,2,0,1,2,-5,-2,1,0,1,0,-4,0,-1,0,2,0,0,
-2,2,0,0,-1,-1,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,1,1,-1,-1,0,0,-1,0,0,0,-1,0,0,
0,0,-2,-1,-1,1,1,1],[306153,3433,489,0,1431,351,0,0,105,57,9,28,112,111,31,0,
39,31,4,12,15,0,0,15,1,9,1,1,0,36,0,0,0,3,8,4,1,0,15,0,12,3,0,3,3,0,0,3,3,0,3,
3,-1,10,1,1,1,0,0,4,0,4,0,1,E(3)-E(3)^2,-E(3)+E(3)^2,2,0,0,0,1,1,1,0,0,0,0,0,
0,1,1,1,1,0,0,0,1,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,-1,-1,1,1,2],[306153,2729,
-279,0,1431,351,0,0,105,-15,-7,28,128,99,-25,0,-9,11,2,18,-9,0,0,15,1,-3,5,1,
0,36,0,0,0,3,4,-4,1,0,15,0,0,3,0,3,-1,0,0,-1,-3,2,3,-1,1,10,1,1,-1,0,0,8,0,-4,
0,-1,-3,-3,0,0,0,0,1,1,1,0,0,0,0,0,0,-1,1,1,-1,0,0,0,-1,0,0,-2,-1,1,1,0,0,0,0,
0,0,0,0,0,2,1,1,1,1,0],[6724809,26377,-567,0,-3861,2079,0,0,393,-15,-7,134,
-128,-189,-29,0,27,43,-2,54,-9,0,0,21,0,-3,13,1,0,-36,0,0,0,6,2,-2,3,0,-21,0,
0,3,0,3,-1,0,0,-1,-3,2,0,1,0,-10,-1,-1,-1,0,0,-8,0,4,0,-2,0,0,0,-2,0,0,0,0,-1,
0,0,0,0,0,0,1,1,1,0,0,0,0,-1,-1,-1,2,1,0,0,1,0,0,0,0,0,0,0,0,-2,0,0,-1,-1,0],[
19034730,44330,1386,0,13662,2457,0,0,426,34,-6,105,464,441,-58,0,-18,41,-4,36,
9,0,0,15,-6,6,6,2,0,90,0,0,0,3,5,1,0,0,30,0,4,-3,0,-2,-6,0,0,-3,1,0,0,-1,0,15,
-3,-3,0,0,0,8,0,2,0,-1,3,3,-1,1,0,0,0,0,0,-1,-1,0,0,0,0,0,-1,-1,0,0,0,0,-1,0,
0,-1,1,0,0,0,0,0,0,-2,0,0,0,0,2,0,0,0,0,-1],[25356672,40832,384,0,16632,2484,
0,0,384,64,0,47,656,384,8,0,24,8,8,24,12,0,0,33,5,0,0,0,0,99,0,0,0,-3,7,-1,0,
0,24,0,4,12,0,-8,0,0,0,0,-2,0,3,1,-1,5,2,-1,0,-1,0,8,0,-1,0,-1,-E(3)+E(3)^2,
E(3)-E(3)^2,-1,-1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,0,1,-1,0,0,-2,0,
0,0,1,0,0,0,0,-2,-1,-1,-1,-1,-1],[43779879,79079,1575,0,-11880,3537,0,0,615,
63,-9,104,-112,-315,104,0,-72,77,-4,36,9,0,0,24,-4,3,3,-1,0,-36,0,0,0,6,4,0,0,
0,-24,0,-12,-3,0,0,0,0,0,9,3,0,0,0,0,-10,5,2,1,0,0,-4,0,-4,0,2,0,0,-2,0,0,0,2,
2,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,-2,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,
-2],[195019461,182533,5061,0,45495,4158,0,0,645,237,-11,36,544,714,-41,0,183,
130,-14,-6,6,0,0,21,0,9,-7,-3,0,90,0,0,0,3,8,-4,-1,0,15,0,24,-6,0,3,7,0,0,-2,
0,-2,0,1,0,15,0,3,-1,0,0,-8,0,-2,0,1,E(3)-E(3)^2,-E(3)+E(3)^2,2,0,0,0,0,0,-1,
0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,-1,-1,-1,-1,1,0,0,0,0,0,0,0,0,-2,0,0,0,0,
-1],[195019461,127621,-5691,0,45495,4158,0,0,645,-195,21,36,784,546,127,0,-57,
10,-8,24,-42,0,0,21,0,-15,1,-3,0,90,0,0,0,3,-4,4,-1,0,15,0,-12,-6,0,3,3,0,0,6,
0,0,0,-3,0,15,0,3,-1,0,0,4,0,-2,0,1,-E(3)+E(3)^2,E(3)-E(3)^2,0,0,0,0,0,0,-1,0,
0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,-1,1,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,3],[
203843871,194271,2079,0,-15147,7371,0,0,735,119,-17,196,-336,-189,-291,0,-27,
51,6,54,27,0,0,0,0,3,11,-1,0,-54,0,0,0,0,-4,4,0,0,-3,0,-4,3,0,-7,1,0,0,-5,-1,
-2,-3,0,0,-5,-2,1,1,-1,0,0,0,-6,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,
0,0,0,0,0,0,-1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,1],[216154575,-61425,4815,0,
2430,1215,0,0,15,-105,-1,0,0,-45,54,0,-18,27,54,-18,-9,0,0,0,-7,3,3,7,0,0,0,0,
0,0,0,0,-1,0,6,0,0,3,0,-6,2,0,0,-1,-3,2,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,E(21)^2+E(21)^8+E(21)^10+E(21)^11+E(21)^13+E(21)^19,E(21)+E(21)^4+E(21)^5
 +E(21)^16+E(21)^17+E(21)^20,-1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,-1,-1,0,0,
0,0,0,0,0,0,0,0,E(21)^2+E(21)^8+E(21)^10+E(21)^11+E(21)^13+E(21)^19,
E(21)+E(21)^4+E(21)^5+E(21)^16+E(21)^17+E(21)^20,0,0,0],
[GALOIS,[12,2]],[330032934,205414,-5082,0,27027,5859,0,0,486,-146,22,209,16,
399,-245,0,3,7,-2,30,-21,0,0,-21,0,-6,10,-2,0,9,0,0,0,3,-11,-7,0,0,27,0,4,-9,
0,7,7,0,0,-5,1,-2,-3,-1,0,5,2,-1,0,0,0,4,0,1,0,1,E(3)-E(3)^2,-E(3)+E(3)^2,-1,
1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,1,-1,0,0,-1,0,0,0,1,0,0,0,0,2,0,0,
-1,-1,-1],[1050717096,580008,936,0,-68607,13446,0,0,1320,168,40,196,-96,-846,
129,0,-63,138,-6,18,-18,0,0,30,2,0,-8,0,0,-54,0,0,0,0,8,-4,0,0,-39,0,-24,-6,0,
-3,1,0,0,-2,0,-2,0,2,-2,-5,-2,1,0,0,0,0,0,6,0,0,0,0,-2,0,0,0,-1,-1,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,1,1],[1152161010,
-30030,-7182,0,-891,-2268,0,0,114,154,66,35,336,0,21,0,-27,-24,48,0,-36,0,0,0,
0,6,-2,-6,0,-27,0,0,0,0,-5,3,0,0,-3,0,4,12,0,1,-3,0,0,0,-2,0,0,0,0,5,-1,2,0,1,
0,0,0,-3,0,0,0,0,-1,-1,0,0,0,0,0,-1,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,-2*E(5)+E(5)^2+E(5)^3-2*E(5)^4,E(5)-2*E(5)^2-2*E(5)^3
 +E(5)^4,-1],
[GALOIS,[16,2]],[1255560075,152075,-4725,0,-14850,-3780,0,0,75,-245,-21,0,560,
0,38,0,270,56,-16,0,36,0,0,0,0,3,3,3,0,-45,0,0,0,-6,0,0,0,0,30,0,-20,-12,0,-2,
-6,0,0,0,-2,0,3,0,0,0,0,0,-1,0,0,-4,0,-1,0,2,0,0,0,0,0,0,0,0,0,
E(23)+E(23)^2+E(23)^3+E(23)^4+E(23)^6+E(23)^8+E(23)^9+E(23)^12+E(23)^13
 +E(23)^16+E(23)^18,E(23)^5+E(23)^7+E(23)^10+E(23)^11+E(23)^14+E(23)^15
 +E(23)^17+E(23)^19+E(23)^20+E(23)^21+E(23)^22,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],
[GALOIS,[18,5]],[1349587008,-133056,-4032,0,-10692,3402,0,0,-192,0,64,-42,0,
126,108,0,-36,54,-54,18,18,0,0,0,0,0,0,0,0,0,0,0,0,0,-6,-2,0,0,-12,0,0,-6,0,0,
4,0,0,-2,0,-2,3,0,0,0,3,-3,0,1,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,
-2*E(12)^7+2*E(12)^11,2*E(12)^7-2*E(12)^11,-1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0],
[GALOIS,[20,5]],[1553430879,519519,-18081,0,-25839,10773,0,0,927,-273,-33,154,
-672,-315,633,0,225,21,12,36,-27,0,0,0,0,-9,-1,-1,0,-54,0,0,0,0,-6,-6,0,0,9,0,
24,9,0,-3,-3,0,0,9,-3,0,0,0,0,-5,1,-2,-1,0,0,0,0,6,0,0,0,0,2,2,0,0,0,0,0,0,0,
0,0,0,0,-1,-1,-1,0,0,0,0,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1],[
1818548820,623700,29268,0,56133,9477,0,0,660,420,84,120,0,729,405,0,-27,81,0,
0,45,0,0,-24,11,12,4,4,0,0,0,0,0,0,0,8,0,0,21,0,0,-3,0,-3,-3,0,0,9,3,0,-3,0,1,
0,3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,1,1,1,-1,0,0,0,0,0,0,0,
-1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0],[2400239520,656800,6048,0,-79002,16632,
0,0,1440,-160,32,120,-560,-756,-434,0,54,-92,-2,54,0,0,0,21,0,0,0,0,0,-45,0,0,
0,-6,0,8,-3,0,-18,0,20,0,0,2,2,0,0,-4,2,2,3,-3,0,0,3,-3,0,0,0,-8,0,-5,0,-2,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,-1,0,0,1,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0],[2801912256,448448,33216,0,105732,6210,0,0,192,448,64,6,896,330,
356,0,132,-22,-22,-30,66,0,0,24,-11,0,0,0,0,45,0,0,0,-3,-2,6,0,0,12,0,16,6,0,
16,4,0,0,-2,-2,-2,0,0,1,-15,-3,0,0,0,0,-4,0,5,0,-1,-E(3)+E(3)^2,E(3)-E(3)^2,
-2,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,1,0,0,0,0,0,1,
1,0,0,1],[3264456195,715715,-6909,0,177903,10584,0,0,963,-357,-45,70,1232,840,
-1,0,-177,8,-28,12,24,0,0,0,0,-9,-1,3,0,126,0,0,0,-3,-10,6,0,0,-9,0,-12,0,0,3,
-9,0,0,0,0,0,0,0,0,10,-2,4,1,0,0,-4,0,2,0,-1,E(3)-E(3)^2,-E(3)+E(3)^2,-2,-2,0,
0,0,0,0,1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,
-2],[4290428142,107822,-23058,0,134838,9828,0,0,366,6,30,-83,2000,0,-394,0,54,
-88,-16,0,-36,0,0,21,0,-6,2,6,0,36,0,0,0,-6,-3,-3,0,0,6,0,-12,12,0,6,6,0,0,0,
6,0,0,1,0,-20,-2,-2,0,0,0,8,0,-4,0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,
0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-2,0,0,1,1,-2],[4416617205,685685,-14091,
0,177012,8316,0,0,1077,-203,21,-70,1568,840,20,0,-204,-16,20,12,-12,0,0,0,0,
-3,-3,-3,0,99,0,0,0,-3,10,-6,0,0,-12,0,-8,12,0,4,-12,0,0,0,-2,0,0,0,0,-10,2,
-4,1,1,0,-4,0,-1,0,-1,E(3)-E(3)^2,-E(3)+E(3)^2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,-1,2],[4620461076,825748,
14868,0,161865,15687,0,0,468,308,-76,126,1456,1071,-47,0,153,-65,34,18,-9,0,0,
0,0,12,-4,-4,0,45,0,0,0,-3,-2,-2,0,0,9,0,-4,-9,0,-7,5,0,0,-1,-1,2,-3,0,0,-15,
0,-3,0,0,0,4,0,1,0,1,-3,-3,-2,-2,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,1,0,0,0,0,0,0,
1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1],[8250621525,-492075,-25515,0,0,0,0,0,
405,405,117,0,0,0,0,0,0,0,0,0,0,0,0,-15,6,-3,-3,-3,0,0,0,0,0,0,0,0,3,0,0,0,0,
0,0,0,0,0,0,0,0,0,3,-3,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,1,0,0,0,-1,-E(29)-E(29)^4-E(29)^5-E(29)^6-E(29)^7-E(29)^9-E(29)^13
 -E(29)^16-E(29)^20-E(29)^22-E(29)^23-E(29)^24-E(29)^25-E(29)^28,
-E(29)^2-E(29)^3-E(29)^8-E(29)^10-E(29)^11-E(29)^12-E(29)^14-E(29)^15-E(29)^17
 -E(29)^18-E(29)^19-E(29)^21-E(29)^26-E(29)^27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0],
[GALOIS,[30,2]],[8993909925,-675675,15525,0,-40095,7290,0,0,165,-315,-91,0,0,
270,-135,0,81,54,-54,-54,18,0,0,0,7,-3,5,-3,0,0,0,0,0,0,0,0,0,0,-15,0,0,6,0,9,
5,0,0,2,0,2,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-E(21)^2-E(21)^8-E(21)^10
 -E(21)^11-E(21)^13-E(21)^19,-E(21)-E(21)^4-E(21)^5-E(21)^16-E(21)^17-E(21)^20
 ,0,-1,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
E(21)^2+E(21)^8+E(21)^10+E(21)^11+E(21)^13+E(21)^19,E(21)+E(21)^4+E(21)^5
 +E(21)^16+E(21)^17+E(21)^20,0,0,0],
[GALOIS,[32,2]],[9456453864,-216216,49896,0,32076,5103,0,0,-24,-168,-56,-111,
0,-189,540,0,108,27,54,54,-9,0,0,-24,18,0,0,8,0,0,0,0,0,0,9,1,0,0,12,0,0,15,0,
12,4,0,0,-5,-3,-2,0,0,0,0,6,3,0,0,0,0,0,0,0,0,0,0,-3,1,0,0,0,0,0,0,0,0,0,0,0,
0,-1,-1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[10726070355,
1390675,47187,0,120582,4158,0,0,-45,435,83,-120,-320,126,-338,0,342,238,-14,
18,-18,0,0,-21,0,3,3,3,0,90,0,0,0,-6,0,-8,0,0,-18,0,0,18,0,-6,2,0,0,2,6,2,0,
-1,0,0,-3,3,-1,0,0,-8,0,-2,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,2,0,0,0,0,0],[12258366120,-280280,40104,0,
137808,11313,0,0,-216,56,-120,-105,1456,-531,304,0,144,-11,-20,36,9,0,0,0,7,0,
0,-8,0,45,0,0,0,-3,-5,-1,0,0,0,0,-4,9,0,-16,0,0,0,-3,-1,0,0,0,1,-15,3,3,0,0,0,
4,0,1,0,1,3,3,1,-1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,
-1,0,0,0,0,0,1,1,0,0,1],[14507059905,1605825,-11583,0,-216513,19683,0,0,1665,
-15,-63,-120,0,-729,567,0,-81,-81,0,0,27,0,0,9,2,9,1,1,0,0,0,0,0,0,0,-8,-3,0,
-9,0,0,-9,0,3,3,0,0,3,-3,0,0,-3,2,0,-3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,
0,0,0,0,0,0,1,1,1,0,0,0,0,-1,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0],[
15016498497,2523521,24129,0,-177606,19089,0,0,1665,105,-15,-28,-448,-819,-358,
0,-198,245,20,-36,9,0,0,0,0,-3,-11,1,0,-36,0,0,0,6,-4,4,0,0,18,0,0,9,0,6,-6,0,
0,-3,3,0,0,0,0,-10,-1,-1,-1,0,0,8,0,-4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,1,
1,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0],[21014341920,1716000,
288,0,-73062,-2268,0,0,-480,160,-96,120,240,-576,258,0,234,168,-12,-36,-36,0,
0,-9,-9,0,0,0,0,135,0,0,0,0,0,8,0,0,-30,0,-20,12,0,-2,6,0,0,0,-2,0,0,-1,1,0,3,
-3,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,
0,1,0,0,0,1,0,0,0,0,2,-2,-2,0,0,0],[21096751104,2342912,24576,0,-19008,25488,
0,0,0,0,0,204,320,384,-256,0,-192,32,-40,24,48,0,0,-54,-5,0,0,0,0,-90,0,0,0,
-3,12,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,0,-3,3,0,1,0,8,0,2,0,-1,
-E(3)+E(3)^2,E(3)-E(3)^2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,1,0,0,0,0,0,0,0,0,-2,-1,-1,0,0,0],[21122107776,1798016,-24192,0,-2376,27972,
0,0,384,-64,0,251,-2128,0,-184,0,216,-184,32,0,-36,0,0,-21,0,0,0,0,0,9,0,0,0,
-6,-9,3,0,0,24,0,-4,12,0,8,0,0,0,0,2,0,3,3,0,5,-1,2,0,0,0,-4,0,5,0,2,0,0,1,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,-3,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,
0,-1,-1,1],[21842179632,1224496,72240,0,292788,-3780,0,0,1200,112,-16,-168,
784,420,100,0,276,-44,46,6,12,0,0,0,0,0,0,0,0,-45,0,0,0,3,-4,0,-2,0,-60,0,4,
-12,0,4,-4,0,0,-4,4,2,0,0,0,15,3,0,0,0,0,4,0,7,0,1,-E(3)+E(3)^2,E(3)-E(3)^2,2,
0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,-1],[34128405675,3114475,-28245,0,383670,13230,0,0,555,35,-101,0,-560,
1050,-218,0,150,178,-2,-66,-42,0,0,0,0,-9,-1,3,0,-45,0,0,0,3,0,0,1,0,6,0,20,
-6,0,-10,-2,0,0,-2,-4,-2,0,0,0,0,0,0,1,0,0,-8,0,-5,0,1,-E(3)+E(3)^2,
E(3)-E(3)^2,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0],[34128405675,1512875,-55125,0,383670,13230,0,0,555,-245,
107,0,560,630,38,0,-234,-106,38,-18,-18,0,0,0,0,3,-5,3,0,-45,0,0,0,3,0,0,1,0,
6,0,-20,-6,0,-2,14,0,0,2,-2,2,0,0,0,0,0,0,-1,0,0,-4,0,-1,0,-1,3,3,0,0,0,0,0,0,
1,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[
41785039296,448448,-28224,0,371844,10962,0,0,192,-448,64,-154,896,-630,356,0,
-252,-22,-22,18,18,0,0,0,0,0,0,0,0,9,0,0,0,3,-2,6,0,0,12,0,-16,6,0,-16,4,0,0,
-2,2,-2,0,0,0,5,-1,2,0,0,0,-4,0,5,0,-1,-3,-3,2,2,0,0,0,0,0,-1,-1,0,0,0,0,0,0,
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,-1,-1],[63831063582,
393822,36126,0,216513,19683,0,0,-1314,294,78,57,2592,-729,-567,0,81,-81,0,0,
27,0,0,6,-1,-6,2,-2,0,0,0,0,0,0,-3,1,0,0,9,0,24,-9,0,-3,-3,0,0,3,-3,0,0,2,-1,
-15,3,3,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,-1,-1,0,0,0,0,0,0,0,-1,1,1,0,0,0,0,0,0,0,
-3,1,0,0,1,0,0,0,0,0,0,0,0,2,-1,-1,0,0,-1],[78346948680,-120120,59976,0,
-60588,-16443,0,0,456,-616,40,105,1344,441,84,0,468,-15,30,-18,45,0,0,0,0,0,0,
-8,0,-135,0,0,0,0,5,1,0,0,-12,0,-16,21,0,-4,4,0,0,1,-1,-2,0,0,0,15,-3,-3,0,0,
0,0,0,-3,0,0,0,0,-1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,-1,1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,-1],[80256172032,1114112,0,0,-266112,30240,0,0,0,
-512,0,-168,128,0,-448,0,0,-160,-16,0,0,0,0,15,-6,0,0,0,0,-45,0,0,0,-6,12,0,3,
0,0,0,16,0,0,-8,0,0,0,0,4,0,-3,-1,0,15,3,0,0,0,0,-4,0,-1,0,2,0,0,-2,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,3,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1],[
80256172032,3997696,0,0,-266112,30240,0,0,0,512,0,-168,-896,0,832,0,0,-32,-32,
0,0,0,0,15,-6,0,0,0,0,-45,0,0,0,-6,-4,0,3,0,0,0,-16,0,0,8,0,0,0,0,-4,0,-3,3,0,
15,3,0,0,0,0,4,0,-5,0,-2,0,0,2,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,
-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1],[84057367680,3569280,-54144,0,
-292248,17172,0,0,-384,64,0,105,1104,-1224,-552,0,72,-48,-12,-36,-36,0,0,-15,
13,0,0,0,0,135,0,0,0,0,5,1,0,0,-24,0,4,-12,0,-8,0,0,0,0,-2,0,0,1,1,15,-3,-3,0,
0,0,0,0,3,0,0,0,0,-1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,1,0,0,0,0,
0,0,1,0,0,0,0,-2,1,1,0,0,-1],[103562058600,2602600,-22680,0,81675,-30240,0,0,
360,-280,168,0,-560,0,475,0,-405,160,16,0,0,0,0,0,0,0,8,0,0,45,0,0,0,-12,0,0,
0,0,-45,0,20,0,0,-1,3,0,0,0,-4,0,0,0,0,0,0,0,0,0,0,4,0,1,0,4,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0],[
115511526900,4627700,102900,0,-283635,-16065,0,0,180,420,-76,0,2240,-105,413,
0,-339,71,62,-42,15,0,0,0,0,-12,4,-4,0,-90,0,0,0,-3,0,0,0,0,45,0,0,-9,0,-3,5,
0,0,-1,3,2,3,0,0,0,0,0,0,0,0,-4,0,2,0,-1,E(3)-E(3)^2,-E(3)+E(3)^2,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,-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],[
120131987976,-184184,-11256,0,311256,-5481,0,0,264,504,-24,-49,2800,-861,-152,
0,120,-53,-44,12,15,0,0,0,0,0,0,8,0,-126,0,0,0,3,-9,-1,0,0,-24,0,12,15,0,0,0,
0,0,3,-3,0,0,0,0,20,-4,-1,0,0,0,4,0,-2,0,1,E(3)-E(3)^2,-E(3)+E(3)^2,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-1,2],[135605256192,3997696,0,0,245376,6048,0,0,0,-512,0,-8,-896,0,832,0,0,
-32,-32,0,0,0,0,-21,0,0,0,0,0,-9,0,0,0,6,-4,0,-1,0,0,0,16,0,0,-8,0,0,0,0,4,0,
3,3,0,-5,1,-2,0,0,0,4,0,-5,0,-2,0,0,-2,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,
-1,-1,-1,-1,0,-1,-1,-1,0,0,0,1,0,0,0,0,0,0,0,1,1,1],[135605256192,1114112,0,0,
245376,6048,0,0,0,512,0,-8,128,0,-448,0,0,-160,-16,0,0,0,0,-21,0,0,0,0,0,-9,0,
0,0,6,12,0,-1,0,0,0,-16,0,0,8,0,0,0,0,-4,0,3,-1,0,-5,1,-2,0,0,0,-4,0,-1,0,2,0,
0,2,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,-1,-1,3,0,-1,-1,-1,0,0,0,-1,0,0,
0,0,2,0,0,1,1,-1],[142169187069,2393469,60669,0,216513,0,0,0,-963,573,93,-6,
-2592,0,-567,0,81,0,0,0,0,0,0,21,0,-3,5,-3,0,0,0,0,0,0,-6,-6,-3,0,9,0,-24,0,0,
-3,-3,0,0,0,0,0,0,1,0,15,3,0,1,0,0,0,0,0,0,0,0,0,-2,2,0,0,0,0,1,0,0,0,0,0,0,
-1,0,0,0,0,0,0,-1,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,-2,0,0,0,0,1],[150164984970,
3773770,-32886,0,-476982,-8127,0,0,714,-574,154,-105,1456,189,-830,0,378,-11,
34,-54,9,0,0,0,0,6,6,2,0,45,0,0,0,6,-5,-1,0,0,-6,0,-4,-3,0,2,-2,0,0,1,-1,-2,0,
0,0,-15,3,3,0,0,0,4,0,1,0,-2,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,
0,0,1,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1],[151397207325,2764125,42525,0,
295245,0,0,0,-675,-315,-51,0,0,0,-243,0,-243,0,0,0,0,0,0,0,0,9,1,-3,0,0,0,0,0,
0,0,0,1,0,-27,0,0,0,0,9,-3,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,-E(33)^5-E(33)^7-E(33)^10-E(33)^13
 -E(33)^14-E(33)^19-E(33)^20-E(33)^23-E(33)^26-E(33)^28,-E(33)-E(33)^2-E(33)^4
 -E(33)^8-E(33)^16-E(33)^17-E(33)^25-E(33)^29-E(33)^31-E(33)^32,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0],
[GALOIS,[58,5]],[154455413112,-401544,-120456,0,307395,17010,0,0,-1032,120,-8,
162,0,-630,1107,0,99,-54,54,-90,18,0,0,21,0,0,8,0,0,0,0,0,0,0,6,-6,0,0,3,0,0,
6,0,3,-5,0,0,-2,6,-2,0,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[160255122300,
-4176900,56700,0,171315,25515,0,0,60,-420,92,0,0,-945,27,0,-189,135,-54,-54,
-45,0,0,0,0,12,4,-4,0,0,0,0,0,0,0,0,-2,0,51,0,0,3,0,3,-1,0,0,-1,-3,2,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,1,1,0,0,0,0,1,-1,-1,0,0,0,0,0,0,0,0,0,
1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[178514751987,-2814669,124659,0,0,0,0,0,
243,-405,99,162,0,0,0,0,0,0,0,0,0,0,0,-9,-9,-9,-9,3,0,0,0,0,0,0,6,-6,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[185161334400,
604800,-86400,0,-189540,14580,0,0,-1920,0,-128,0,0,540,-756,0,-324,108,54,54,
36,0,0,0,-7,0,0,0,0,0,0,0,0,0,0,0,-2,0,-12,0,0,12,0,0,4,0,0,4,0,-2,3,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,
1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0],[203775436800,665600,92160,0,-183600,-4320,0,
0,0,0,0,0,320,-720,752,0,144,-112,-4,36,0,0,0,-30,-16,0,0,0,0,180,0,0,0,6,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,0,0,0,0,-4,0,-4,0,2,0,0,0,0,0,0,-1,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,-2,1,1,0,0,0],[
210555861318,1299078,132678,0,0,0,0,0,-2106,-162,54,243,0,0,0,0,0,0,0,0,0,0,0,
33,12,-6,-6,6,0,0,0,0,0,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-3,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,3,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,-2,0,0,
0,0,0,0,0,0,0,0,0,0,0,0],[215861428224,-5111808,0,0,-20736,36288,0,0,0,0,0,
-176,768,0,-384,0,0,192,48,0,0,0,0,-6,-6,0,0,0,0,-54,0,0,0,0,-8,0,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-2,0,10,4,-2,0,0,0,0,0,6,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,-1,-2,0,-1,-1,-1,0,0,0,0,0,0,0,0,-2,0,0,1,1,0],[
256966819200,-2038400,40320,0,457380,-26460,0,0,1920,0,-128,0,-2240,-1260,
-764,0,36,-44,46,-18,36,0,0,0,0,0,0,0,0,90,0,0,0,-6,0,0,3,0,12,0,0,-12,0,0,4,
0,0,4,0,-2,0,0,0,0,0,0,0,1,0,4,0,-2,0,-2,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[259900935525,2650725,
-171675,0,173745,-17010,0,0,-795,-315,37,0,0,-630,81,0,369,162,0,72,54,0,0,0,
0,-3,-11,-3,0,0,0,0,0,0,0,0,0,0,33,0,0,-6,0,9,1,0,0,-2,0,4,-3,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-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],[274587401088,2873728,29568,0,-30888,-3780,0,0,384,64,
0,-237,-3248,840,-152,0,120,-80,-44,12,-12,0,0,21,0,0,0,0,0,-45,0,0,0,3,3,3,0,
0,24,0,4,12,0,-8,0,0,0,0,-2,0,0,-3,0,-15,-3,0,0,0,0,4,0,7,0,1,E(3)-E(3)^2,
-E(3)+E(3)^2,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-3,0,0,0,1,0,0,0,
1,0,0,0,0,0,0,0,0,0,-1],[274910709213,-2539107,-66339,0,0,0,0,0,1053,405,45,
-162,0,0,0,0,0,0,0,0,0,0,0,-21,0,-15,9,-3,0,0,0,0,0,0,18,6,-3,0,0,0,0,0,0,0,0,
0,0,0,0,0,-3,3,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
1,0,0,0,-1,1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[295709508864,-3528448,
5376,0,-33264,24192,0,0,-768,0,0,14,-448,840,560,0,336,56,20,12,-48,0,0,0,0,0,
0,0,0,-36,0,0,0,-3,2,6,0,0,-48,0,0,-24,0,0,0,0,0,0,0,0,3,0,0,-10,-4,2,0,0,0,8,
0,-4,0,-1,E(3)-E(3)^2,-E(3)+E(3)^2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0],[358644768768,-2342912,24576,0,
-323136,13392,0,0,0,0,0,-132,-320,384,256,0,-192,-32,40,24,48,0,0,6,13,0,0,0,
0,90,0,0,0,3,-12,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-1,0,-6,-3,0,0,0,-8,0,-2,
0,1,-E(3)+E(3)^2,E(3)-E(3)^2,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,1,0,0,0,0,0,0,0,0,2,-1,-1,0,0,0],[375412462425,625625,-15015,0,-109890,
-33075,0,0,345,105,-71,0,2240,105,62,0,-66,17,-46,42,-123,0,0,0,0,9,1,1,0,-90,
0,0,0,-3,0,0,0,0,30,0,0,-3,0,6,-2,0,0,1,3,-2,0,0,0,0,0,0,1,0,0,-4,0,2,0,-1,
-E(3)+E(3)^2,E(3)-E(3)^2,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[405445459419,-2783781,-74277,0,-248589,
-20412,0,0,987,315,-37,294,0,756,27,0,-189,-108,-54,-54,36,0,0,0,0,3,-5,3,0,0,
0,0,0,0,-6,-2,0,0,-21,0,0,12,0,-9,-1,0,0,-4,0,2,0,0,0,0,6,3,-1,0,0,0,0,0,0,0,
0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0]],]);
ARC("F3+","isSimple",true);
ARC("F3+","extInfo",["3","2"]);
ARC("F3+","maxes",["Fi23","2.Fi22.2","(3xO8+(3):3):2","O10-(2)","3^7.O7(3)",
"3^(1+10):U5(2):2","F3+M7","2^2.U6(2).3.2","2^(1+12).3_1.U4(3).2_2'",
"3^3.[3^10].GL3(3)","3^2.3^4.3^8.(A5x2A4).2","(A4xO8+(2).3).2","He.2",
"F3+M14","2^(3+12).(L3(2)xA6)","2^(6+8).(S3xA8)","(3^2:2xG2(3)).2",
"(A5xA9):2","A6xL2(8):3","7:6xA7","U3(3).2","U3(3).2","L2(13).2","L2(13).2",
"29:14"]);
ALF("F3+","F3+.2",[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,
46,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,64,65,66,67,
68,69,69,70,71,72,73,74,75,75,76,77,77,78,79,80,80,81,82,82,83,84,85,86,
87,88,88,89,90,91,92,93,93,94,95,95,96,96,97],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables"
]);
ALN("F3+",["fi24'","f24c"]);

MOT("F3+.2",
[
"origin: ATLAS of finite groups, tests: 1.o.r.,\n",
"constructions: Aut(F3+)"
],
[2510411418381323442585600,516494013235200,321052999680,89139236659200,
4848782653440,28570268160,306110016,76422528,79626240,11612160,589824,1814400,
156764160,39191040,20155392,5971968,4478976,1119744,139968,139968,124416,
46656,10368,35280,4116,4608,3072,1536,944784,524880,419904,118098,26244,1944,
4800,1920,264,248832,62208,27648,17280,10368,7776,5184,2304,864,1152,864,288,
468,336,84,10800,810,540,64,34,5184,2592,1296,1296,324,216,108,240,160,504,
126,42,88,46,46,576,576,72,96,48,52,162,81,56,29,240,60,66,66,70,432,216,72,
234,234,117,168,42,45,120,8178940946586009600,441447874560,4180377600,
13271040,2654208,1548288,27512110080,3265173504,82114560,75582720,3732480,
2239488,1889568,933120,93312,23328,9072,15360,9216,3072,50400,1440,622080,
145152,46656,20736,15552,13824,6912,6912,2592,2592,1728,1728,432,432,144,1680,
336,64,34992,11664,11664,3888,2916,1296,1296,486,324,324,2400,160,264,88,576,
192,144,96,156,156,168,28,28,720,720,180,180,90,34,216,216,72,36,40,84,42,46,
46,54,120,66,66,70,78,78,84],
[,[1,1,1,4,5,6,7,8,3,2,3,12,4,6,5,4,5,6,7,7,6,7,8,24,25,9,11,11,29,30,31,32,
33,34,12,12,37,16,17,16,13,21,22,15,17,23,21,18,22,50,24,25,53,54,55,27,57,31,
31,29,30,33,34,34,35,36,67,68,69,37,71,72,38,40,46,45,47,50,79,80,51,82,53,55,
85,86,87,58,60,61,92,91,93,67,69,96,83,1,1,2,2,3,3,4,5,5,6,4,5,7,6,6,7,8,9,9,
11,12,12,13,13,15,17,18,13,16,17,19,19,18,21,20,22,23,24,24,27,29,30,31,29,33,
30,31,32,33,34,35,35,37,37,38,40,42,45,50,50,51,52,52,53,53,55,55,54,57,59,61,
60,63,66,67,68,71,72,79,83,85,86,87,92,91,94],[1,2,3,1,1,1,1,1,9,10,11,12,2,3,
2,3,3,2,2,3,3,3,3,24,25,26,27,28,5,5,5,5,5,7,35,36,37,9,9,9,10,9,9,10,11,9,11,
10,11,50,51,52,12,12,12,56,57,17,15,17,15,17,19,20,65,66,24,24,25,70,71,72,26,
26,26,27,28,78,29,32,81,82,35,36,37,37,87,39,39,44,50,50,50,51,52,54,65,98,99,
100,101,102,103,98,98,99,98,99,99,98,99,99,99,99,115,116,117,118,119,100,100,
100,102,100,101,102,102,100,101,101,102,103,102,103,135,136,137,105,105,105,
109,105,109,109,109,109,110,148,149,150,151,116,115,116,117,156,157,158,159,
160,118,119,118,119,119,166,122,122,123,129,171,135,136,174,175,138,148,150,
150,180,156,157,158],,[1,2,3,4,5,6,7,8,9,10,11,1,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,34,2,3,37,38,39,40,41,42,43,44,45,46,47,
48,49,50,51,52,4,5,6,56,57,58,59,60,61,62,63,64,10,9,67,68,69,70,72,71,73,74,
75,76,77,78,79,80,81,82,13,14,86,85,24,88,89,90,92,91,93,94,95,30,41,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,98,99,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,147,100,101,150,151,152,153,154,155,157,156,
158,160,159,104,108,107,111,106,166,167,168,169,170,115,172,173,175,174,176,
120,179,178,135,182,181,183],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,1,1,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,2,3,53,54,55,56,57,58,59,60,61,62,63,64,65,66,4,8,6,70,72,
71,73,74,75,76,77,78,79,80,10,82,83,84,86,85,12,88,89,90,92,91,93,13,14,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,98,99,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,157,
156,100,103,103,161,162,163,164,165,166,167,168,169,170,171,104,114,175,174,
176,177,179,178,118,182,181,121],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,1,38,39,40,41,42,
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,
69,2,72,71,73,74,75,76,77,78,79,80,81,82,83,84,5,5,87,88,89,90,92,91,93,94,95,
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,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,99,98,152,153,154,
155,157,156,158,160,159,161,162,163,164,165,166,167,168,169,170,171,172,173,
175,174,176,177,106,106,180,182,181,183],,[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,
41,42,43,44,45,46,47,48,49,1,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,2,79,80,81,82,83,84,86,85,87,88,89,90,4,4,8,
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,
153,154,155,98,98,158,160,159,161,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,177,179,178,180,104,104,183],,,,[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,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,1,58,59,60,61,62,63,64,
65,66,67,68,69,70,72,71,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,
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,
150,151,152,153,154,155,156,157,158,160,159,161,162,163,164,165,98,167,168,
169,170,171,172,173,175,174,176,177,178,179,180,181,182,183],,,,,,[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,
59,60,61,62,63,64,65,66,67,68,69,70,1,1,73,74,75,76,77,78,79,80,81,82,83,84,
86,85,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,158,160,159,161,162,163,164,
165,166,167,168,169,170,171,172,173,98,98,176,177,179,178,180,181,182,
183],,,,,,[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,
78,79,80,81,1,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
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]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1],[8671,351,-33,247,-77,85,4,13,31,
-1,-1,21,-9,-15,27,-9,3,9,0,12,-3,0,-3,5,-2,-1,7,-1,4,-5,13,4,-5,4,1,-3,3,7,
-5,7,-1,1,-2,-1,-1,1,5,-1,2,0,1,2,-3,3,0,-1,1,-3,-3,0,3,3,0,0,-1,1,2,-1,1,-1,
0,0,-1,-1,-1,1,-1,0,1,1,-1,0,1,0,0,0,0,1,-2,-1,0,0,0,-2,-1,0,-1,1495,-41,55,
-9,-9,7,91,37,-11,-17,-5,13,10,7,-5,-2,1,-1,-1,-1,-5,-1,19,-5,1,9,1,3,3,-3,4,
0,-3,3,-2,0,1,-3,1,-1,10,1,1,-2,1,1,1,-2,1,-2,5,1,3,-1,-1,-1,-1,-1,0,0,-1,0,0,
1,5,-2,2,-1,-1,1,1,0,0,-1,0,1,0,0,1,-1,0,0,2,0,0,2],
[TENSOR,[3,2]],[57477,1157,133,534,615,210,48,-15,69,21,5,27,86,70,23,22,7,14,
-4,16,10,4,1,14,0,5,5,-3,-6,30,12,-6,3,3,7,3,2,6,15,6,6,6,6,3,-1,-3,2,0,2,4,2,
0,9,0,0,1,0,4,8,-2,2,1,-1,1,1,-1,2,-1,0,2,0,0,2,2,-1,-1,0,0,0,0,0,-1,1,0,-1,
-1,-1,0,0,0,1,1,-2,2,0,0,1,5865,233,105,41,9,-7,168,33,65,60,8,17,6,20,8,2,-1,
9,9,1,15,3,24,0,-3,9,6,8,0,9,0,-4,2,0,2,0,-1,6,2,1,6,6,6,2,-3,2,2,2,-1,3,5,1,
2,2,0,0,0,1,2,2,0,0,0,3,3,0,0,0,0,0,0,0,-1,-1,0,-1,0,0,0,-1,-1,-1,1,-1,-1,0],
[TENSOR,[5,2]],[249458,2354,370,2705,869,167,113,14,50,42,2,8,41,55,5,49,37,
23,5,1,7,13,-2,6,-1,6,-2,2,32,14,23,5,5,2,4,0,0,29,5,5,9,-1,11,-3,5,2,-1,3,-1,
1,2,-1,5,-1,2,0,0,7,-1,4,2,1,2,-2,2,0,3,0,-1,0,0,0,3,3,0,1,-1,1,2,-1,0,0,1,0,
0,0,1,-1,2,0,1,1,1,-1,-1,-1,-1,25806,462,254,30,30,6,183,291,99,75,39,3,21,27,
3,9,0,10,2,2,6,2,11,-1,11,3,11,3,3,3,-1,3,3,3,-3,3,0,4,0,0,-6,12,3,6,3,0,3,-3,
3,0,4,0,0,0,5,1,-1,-1,1,1,2,-1,-1,3,-1,0,2,-1,0,-1,2,0,0,0,1,0,0,0,0,1,0,0,-1,
1,1,-1],
[TENSOR,[7,2]],[555611,5083,91,-535,2300,518,-49,14,155,27,-5,36,169,154,-20,
-23,28,34,7,19,-2,-5,-2,21,0,3,3,3,5,50,-13,5,-4,5,8,-4,1,-7,20,-7,9,2,-7,0,4,
2,-2,0,1,4,1,0,15,0,3,-1,0,-5,7,1,-2,-2,1,1,2,0,-3,0,0,1,0,0,-3,-3,0,0,0,0,-1,
-1,-1,0,-1,-1,1,1,1,-1,-1,0,-2,-2,1,1,0,0,-1,5083,-549,27,-37,-5,-21,169,-20,
12,34,9,-36,7,-6,-18,3,0,-5,-5,3,8,-4,9,-15,0,4,0,-7,1,4,3,-1,-4,-2,-3,1,0,1,
-3,-1,7,-2,7,3,-2,-6,3,3,0,1,2,-2,1,1,1,1,-2,0,0,0,-1,0,0,-1,-1,-1,-1,2,0,-3,
0,1,-1,0,1,0,0,0,1,-1,1,1,1,0,0,-1],
[TENSOR,[9,2]],[1603525,1925,-315,6475,-275,-140,76,-77,5,-35,21,0,35,0,-19,
-21,45,8,8,0,12,-12,3,0,0,1,1,-3,49,-5,-5,-5,4,-2,0,0,0,23,5,-1,-5,-4,-4,1,-3,
-1,0,-2,0,1,0,0,0,0,0,-1,0,3,-1,-3,-1,0,2,0,0,0,0,0,0,0,E(23)+E(23)^2+E(23)^3
 +E(23)^4+E(23)^6+E(23)^8+E(23)^9+E(23)^12+E(23)^13+E(23)^16+E(23)^18,
E(23)^5+E(23)^7+E(23)^10+E(23)^11+E(23)^14+E(23)^15+E(23)^17+E(23)^19+E(23)^20
 +E(23)^21+E(23)^22,1,1,1,1,0,1,-2,1,0,-1,0,0,0,0,0,-1,-1,1,1,1,1,0,0,0,0,
98175,-385,175,15,-17,7,-105,489,-55,30,-25,-7,-24,-10,2,8,-7,-5,3,-5,0,0,-5,
7,13,1,4,3,-5,1,-2,6,0,-2,-2,4,1,0,0,1,3,3,3,-1,-6,-1,-1,-1,2,0,0,0,0,0,-3,1,
0,1,-1,-1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,E(23)+E(23)^2+E(23)^3+E(23)^4
 +E(23)^6+E(23)^8+E(23)^9+E(23)^12+E(23)^13+E(23)^16+E(23)^18,
E(23)^5+E(23)^7+E(23)^10+E(23)^11+E(23)^14+E(23)^15+E(23)^17+E(23)^19+E(23)^20
 +E(23)^21+E(23)^22,0,0,0,0,0,-1,-1,0],
[TENSOR,[11,2]],
[GALOIS,[11,5]],
[TENSOR,[13,2]],[1666833,11153,273,3093,-1848,987,-66,51,209,49,-15,83,-43,
-105,56,21,-24,47,2,30,3,-6,3,14,0,1,9,1,-12,-21,24,-12,6,6,3,3,3,5,-16,5,-11,
-1,-4,4,0,-1,3,1,0,-1,2,0,-7,2,2,1,0,0,-4,0,-1,0,2,0,-1,-1,-1,2,0,-1,0,0,1,1,
1,0,1,-1,0,0,0,0,-3,0,0,0,-1,-4,2,1,-1,-1,-1,-1,0,-1,-1,80937,553,457,9,9,-7,
909,18,-110,-63,13,-14,18,25,13,-2,7,1,1,1,-13,3,61,13,-2,18,7,-3,-3,-6,4,0,3,
-3,2,0,-1,-4,0,1,18,-9,0,-2,0,-5,4,-2,-2,0,7,-1,3,-1,1,1,1,-2,-1,-1,2,0,0,-1,
3,2,0,0,0,-2,1,0,0,1,-1,0,0,0,0,1,0,0,1,-1,-1,-1],
[TENSOR,[15,2]],[4864431,13871,-1105,4836,4917,867,-24,156,175,-97,15,56,164,
155,101,-28,-43,11,20,20,-13,8,-4,5,5,-9,7,-1,3,39,21,3,12,3,-4,0,0,4,13,4,-4,
-5,4,-7,-3,4,3,-1,0,0,-3,1,11,2,2,-1,0,5,5,-1,-1,2,-1,-1,-2,0,-1,2,-1,0,0,0,0,
0,0,1,-1,0,0,0,1,0,-1,0,0,0,0,1,1,-1,0,0,0,3,1,-1,1,167739,-1221,379,-5,-5,27,
1014,69,165,177,-42,21,42,-15,-15,-6,0,-5,-5,-5,14,-6,46,22,1,13,1,-2,-2,13,4,
4,1,1,0,-2,0,5,-3,-1,15,-3,-3,3,6,-3,-3,3,0,3,4,0,0,0,-2,-2,1,1,0,0,1,-1,-1,
-1,3,2,0,0,0,1,1,1,1,0,-1,0,0,0,0,1,0,0,0,0,0,1],
[TENSOR,[17,2]],[32715683,43043,-2653,25298,-1837,2618,26,-91,291,-77,3,133,
-238,-70,275,-46,83,-22,-22,38,-22,-10,5,0,0,-5,11,3,-1,-19,44,-1,8,-1,-7,-3,
0,18,3,18,10,6,0,-5,3,-3,6,-2,0,0,0,0,-2,-2,-2,-1,-1,-4,-4,-1,5,2,-1,-1,3,1,0,
0,0,0,0,0,-2,-2,1,-1,0,0,-1,-1,0,0,2,0,0,0,0,0,3,1,0,0,0,0,0,1,0,943943,-2233,
903,-121,71,7,2912,617,-55,-58,-64,89,-4,-10,-10,8,-7,-9,-9,7,-7,-3,120,0,-15,
17,-6,8,8,-7,0,-4,2,2,-2,2,1,0,0,-1,23,5,-4,-1,-4,5,-4,-1,2,-1,3,-1,0,0,0,0,0,
1,0,0,0,0,0,2,6,2,0,0,1,0,-3,-1,-1,1,0,0,0,0,-1,0,0,0,0,0,0,0],
[TENSOR,[19,2]],[35873145,53625,4473,27000,4158,2457,27,54,185,105,-7,120,120,
189,246,120,-18,21,3,27,33,3,6,-14,0,9,9,1,27,0,54,27,0,0,0,8,0,8,14,8,0,-7,
-1,6,2,2,5,3,-1,-4,-2,0,0,3,-3,1,0,6,6,3,0,0,0,0,0,0,1,-2,0,0,-1,-1,0,0,0,0,1,
0,0,0,0,0,0,-1,0,0,1,2,-1,0,-1,-1,2,1,0,0,0,1035045,4389,1125,165,5,21,3186,
594,66,189,114,42,27,21,33,3,0,5,5,-3,20,4,90,-6,18,14,-9,-6,2,2,3,3,3,5,3,-1,
0,4,0,1,27,0,0,3,0,0,0,3,0,0,0,0,0,0,2,2,-1,0,-2,-2,-2,0,0,-4,4,-1,1,1,0,0,0,
-1,0,0,1,0,-1,-1,0,0,0,0,-1,1,1,1],
[TENSOR,[21,2]],[40536925,39325,3165,49075,880,70,-11,169,-35,85,13,0,-5,-30,
40,147,96,58,13,-3,-18,21,9,-5,9,1,1,-3,70,25,34,-11,-2,-2,0,0,0,55,-8,-17,-5,
10,1,4,4,1,-2,4,1,0,-1,1,0,0,0,-1,0,-6,-2,6,1,0,-2,0,0,0,-2,1,0,0,0,0,1,1,1,
-2,0,0,1,1,1,0,0,0,0,0,0,-2,-2,1,0,0,0,2,-2,0,0,1397825,3905,1425,-15,-15,-55,
845,1790,110,-100,125,-10,35,20,8,11,-1,5,-3,-3,0,0,-15,21,-6,-6,-6,9,9,6,3,3,
6,0,-1,3,-1,-5,-1,-1,8,-1,-10,8,8,-1,2,-1,2,2,0,0,0,0,3,-1,0,0,0,0,-3,1,1,0,0,
0,0,0,0,0,3,0,0,0,-2,-1,0,0,-1,0,0,0,0,0,0,0],
[TENSOR,[23,2]],[48893768,95304,840,-3340,-14113,4760,62,-64,840,8,8,168,-204,
-420,-33,-12,-33,84,-6,66,0,6,0,35,0,0,8,0,8,-55,-37,8,-1,8,4,0,0,-12,-33,-12,
-4,0,6,-1,-1,0,-4,2,2,1,-1,0,-15,-3,0,0,0,3,-9,0,-3,-3,0,0,-2,0,-1,-1,0,0,0,0,
0,0,0,-1,0,1,-1,-1,1,0,1,0,0,0,0,3,0,-1,1,1,1,-1,0,0,1,584936,-792,904,-120,
-24,-56,2276,-451,-99,-262,36,45,8,18,-18,0,6,0,0,-8,-14,-2,76,-20,13,21,4,12,
-12,-3,-2,6,0,-6,-2,0,-2,-5,-1,0,8,-1,-1,0,-1,3,3,0,-3,-4,4,0,0,0,0,0,0,1,1,1,
1,0,0,1,1,-2,-2,1,0,1,1,0,0,0,1,-1,0,0,-1,1,0,0,0,1,1,1],
[TENSOR,[25,2]],[149674800,74800,-8400,-9150,40260,4620,570,210,560,-240,-16,
0,1090,420,-44,66,-156,-44,10,42,-36,-6,18,30,-12,-16,0,0,30,120,-6,30,12,-6,
0,0,0,2,20,2,-30,20,2,12,-4,2,-4,0,2,2,-2,0,0,0,0,0,0,-6,10,6,-8,0,-2,0,0,0,6,
0,0,0,0,0,2,2,2,0,0,-2,0,0,-2,0,0,0,0,0,0,2,2,0,2,2,2,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0],[79452373,104533,5845,-2444,24178,3010,148,247,405,245,-11,48,412,490,-38,
-44,130,106,16,4,34,-8,7,14,0,13,-3,-3,-14,85,-5,13,13,-2,8,0,0,-24,18,0,20,6,
-6,2,-2,3,-2,2,-2,0,2,0,6,3,0,1,0,-5,-5,-2,1,1,-2,-2,0,0,-1,2,0,0,0,0,-2,-2,1,
0,0,0,-2,1,0,0,2,0,0,0,-1,3,0,-1,0,0,0,-1,0,0,0,838695,5159,775,135,39,7,2262,
-384,176,372,38,56,-6,68,20,14,-7,15,-1,7,20,4,10,22,-8,12,-8,18,-6,0,4,0,0,0,
-2,0,1,4,0,-1,-6,3,21,-10,3,-1,5,-1,-1,0,0,0,0,0,-4,0,2,-2,0,0,-2,0,0,2,-2,2,
-2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,1],
[TENSOR,[28,2]],[112168056,19448,6776,42510,14322,2415,228,156,-8,168,24,6,
566,35,170,110,98,-37,8,8,23,20,-4,14,0,0,0,8,66,30,21,-15,3,-6,-2,6,0,-14,10,
10,6,7,4,6,6,4,3,-3,0,0,2,0,-15,-3,0,0,-1,5,5,2,2,-1,2,2,-2,2,-1,2,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,1,0,0,0,-1,1,-2,0,0,0,0,-1,0,0,1,2131272,8008,-152,168,-24,
56,2106,1134,286,243,106,70,0,43,7,16,-14,0,16,0,22,-2,46,34,10,-6,1,6,6,6,-2,
6,-3,3,2,0,2,-4,0,0,0,0,9,-8,9,4,1,1,1,0,-2,-2,0,0,4,0,1,0,0,0,2,0,0,1,1,-2,
-2,1,-1,1,-2,0,0,0,-1,0,0,0,0,1,0,0,1,0,0,-1],
[TENSOR,[30,2]],[159402880,158080,896,-260,49312,5572,-260,-260,896,64,0,105,
1084,896,-32,-4,32,40,-32,32,-4,-4,-4,35,0,0,0,0,-17,145,-17,-17,-17,1,5,1,-1,
-4,32,-4,4,-4,-4,-8,0,-4,0,-2,0,0,-1,0,15,-3,-3,0,0,-1,7,-1,1,-1,1,-1,-1,1,-1,
-1,0,-1,0,0,0,0,0,0,0,0,1,1,1,1,-1,1,-1,-1,0,-1,-1,1,0,0,0,-1,0,0,-1,1626560,
4544,1280,256,-64,0,2834,-568,584,404,-46,8,-82,44,8,-10,8,16,16,0,35,-1,74,
-22,-16,8,2,10,2,8,-4,4,-2,-4,0,2,0,5,1,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,5,1,1,
1,-2,-2,-2,0,0,0,-1,0,0,-1,-1,-1,-1,-1,0,-1,-1,-1,1,1,-1,1,0,0,-1,-1,1,1,0,0,
0,-1],
[TENSOR,[32,2]],[281380736,11648,8064,132860,10064,-952,668,182,128,0,0,-14,
308,0,-16,156,144,-16,-16,0,24,12,6,0,0,0,0,0,155,-34,-34,-7,20,2,-2,-6,-1,32,
-16,8,0,8,-4,0,0,2,0,0,0,0,0,0,10,4,-2,0,0,6,2,3,2,0,2,0,0,-2,0,0,0,-1,1,1,6,
-6,0,0,0,0,-1,-1,0,0,-2,0,-1,-1,0,2,-1,0,0,0,0,0,0,1,0,5841472,6720,448,192,
-64,0,-1274,3640,120,292,150,24,22,-60,-12,30,0,0,0,0,-28,0,-2,-14,16,8,16,6,
2,8,4,12,0,-4,0,2,0,0,0,0,-5,4,4,3,4,0,0,3,0,-2,-2,2,-1,-1,0,0,0,0,0,0,0,0,0,
-4,0,2,0,0,0,-2,-2,-1,0,0,0,0,1,1,1,-2,-1,-1,0,0,0,0],
[TENSOR,[34,2]],[415098112,256256,-2816,106600,-29480,9400,166,-104,768,0,0,
162,-280,-440,296,-152,-8,8,26,46,-8,10,-8,16,2,0,0,0,-23,-50,112,-23,-23,-5,
6,-6,0,24,-24,24,0,0,-12,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,-8,-4,1,2,1,-1,1,0,-2,4,
1,-1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,-3,0,0,0,0,0,1,0,0,7156864,-7040,
3456,-128,-128,0,9100,1000,-440,-620,-20,88,28,100,-20,-8,-8,0,0,0,-36,0,180,
12,0,16,0,4,4,-8,-6,-2,-8,4,0,-2,0,-6,2,0,1,10,10,1,1,-2,-2,1,1,1,6,2,0,0,0,0,
0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,-1,0,0,1,0,0,0,-1,0,0,-2],
[TENSOR,[36,2]],[635618984,323752,3752,146120,-39127,4046,-652,104,552,168,40,
34,184,-406,-167,8,-55,130,-32,-28,-10,8,8,14,0,0,-8,0,-58,-4,104,23,-4,5,2,2,
0,48,-15,0,-24,-6,-6,-3,1,0,-2,0,-2,0,2,0,-5,-2,1,0,0,-16,4,2,4,2,1,-1,-2,2,2,
-1,0,0,0,0,0,0,0,1,0,0,-1,-1,0,0,-1,-1,0,0,-1,0,0,0,0,0,0,2,0,1,1,10287992,
3960,5208,-40,-72,56,5096,1073,-495,-844,72,-63,74,108,0,-18,-6,0,0,-8,-8,0,
24,0,-3,9,6,8,0,9,0,-4,2,0,2,0,2,-6,-2,0,-34,-16,2,-6,2,0,6,3,0,-1,8,0,0,0,0,
0,0,1,0,0,0,0,0,1,-3,1,3,0,0,0,0,0,-1,0,0,1,0,0,-1,-1,0,0,-1,0,0,0],
[TENSOR,[38,2]],[1069551175,175175,13895,47425,-23045,-3605,769,427,135,-105,
71,0,665,35,-109,-31,107,35,-55,-19,11,5,11,0,0,-1,7,7,-122,-50,-32,40,4,-5,0,
0,0,45,27,21,-15,-9,-9,3,-1,3,-1,3,-1,4,0,0,0,0,0,-1,0,8,-4,2,2,-4,-1,-1,0,0,
0,0,0,0,0,0,-1,-1,-1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,-2,0,0,0,0,8279425,385,
2625,65,-63,161,-4445,-557,-605,415,115,-101,-71,-65,7,-11,7,-15,1,1,0,0,15,
-21,-21,-9,15,23,-9,3,-3,-7,-1,3,-1,3,-1,0,0,1,10,10,10,-2,10,-2,-2,-2,-2,1,0,
0,0,0,1,-3,1,1,-2,-2,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,1,1,0],
[TENSOR,[40,2]],[1112333222,246246,-13146,415415,1694,749,938,182,230,-210,
-42,-28,-273,21,6,-297,174,69,6,-6,-3,-18,6,0,0,-6,-6,-2,209,-16,83,20,2,8,-4,
4,0,131,14,11,15,5,-4,6,-6,2,-3,-3,0,0,0,0,-10,-1,-1,0,0,3,3,-3,0,0,0,0,0,0,0,
0,0,0,0,0,-3,-3,0,0,1,0,2,-1,0,0,2,1,0,0,0,-1,-1,0,0,0,0,0,0,-1,0,21135114,
-15862,5306,-102,-70,-14,2457,8694,-154,189,-247,14,108,-19,5,8,14,-10,-2,6,
14,-2,5,-7,14,2,5,-3,5,-10,2,6,-3,5,4,2,-2,0,0,0,-27,18,-9,-7,0,2,-1,2,2,0,6,
-2,0,0,-5,-1,1,0,0,0,0,0,0,2,-2,-1,1,1,0,-1,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[TENSOR,[42,2]],[1264015025,352625,18865,72800,93050,7595,872,-91,625,105,65,
0,1400,595,194,256,10,-13,32,28,43,4,-11,0,0,5,-3,1,-73,80,-10,8,-1,-1,0,0,-2,
28,-14,4,0,7,10,6,-10,1,-1,3,2,0,0,0,0,0,0,-1,0,-2,2,-5,8,1,-1,1,0,0,0,0,0,-2,
0,0,2,2,-1,0,1,0,-1,-1,0,0,0,0,1,1,0,-2,1,0,0,0,0,0,0,0,0,11563825,32305,2625,
545,97,-7,3640,-302,1090,535,40,202,76,55,31,-8,7,5,13,-3,0,0,60,0,6,-2,15,20,
4,10,0,-4,-1,-5,2,-2,-1,0,0,-1,-5,4,-14,7,-5,4,-2,-2,1,1,0,0,-2,-2,-2,2,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,0,1,0,1,1,0,0,0,0],
[TENSOR,[44,2]],[1337276304,388752,-11376,147420,92016,10368,891,0,528,-112,
-48,154,924,720,-48,-36,-144,-48,-21,-9,0,-9,0,0,7,0,0,0,0,81,81,0,0,0,2,-6,1,
12,24,12,-4,0,21,-4,0,0,0,-4,-3,0,0,-1,-5,1,-2,0,0,9,-3,0,-3,0,0,0,-2,-2,0,0,
1,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,1,0,-3,0,-1,0,0,0,0,-1,1,1,15370992,-4368,
3248,48,48,-48,9828,756,1044,1080,-156,-156,27,72,-48,-9,0,0,0,0,42,2,116,-28,
8,12,8,-12,-12,12,-1,3,0,0,-3,-3,0,0,0,0,0,9,9,0,0,-3,-3,0,0,0,-2,-2,-1,-1,0,
0,0,0,0,0,0,1,1,3,-1,0,2,-1,0,-1,-1,0,0,0,0,0,0,0,0,1,-1,-1,0,0,0,0],
[TENSOR,[46,2]],[1540153692,695772,4956,-16758,-47619,15561,9,441,1436,28,60,
217,-630,-399,-99,138,-3,81,9,33,9,-15,9,0,0,-4,4,-4,9,-99,-45,9,-18,0,-3,1,0,
-22,5,-22,10,5,5,1,-3,5,-3,1,-3,-1,0,0,-8,1,1,0,0,3,3,-3,-3,0,0,0,3,1,0,0,0,0,
0,0,2,2,-1,1,-1,-1,0,0,0,0,0,1,0,0,0,-1,-1,1,-1,-1,-1,0,0,1,0,9754668,16940,
2828,204,76,28,10206,-1539,-451,-81,-34,-259,81,-1,47,17,-7,4,4,4,-7,5,110,14,
-7,13,11,-18,-2,-11,5,-3,3,-5,1,1,1,0,0,0,27,-9,-9,-1,0,-1,-1,-1,2,0,3,-1,0,0,
-2,-2,1,1,1,1,0,0,0,-4,-4,-1,-1,-1,0,-1,-1,1,0,-1,0,0,0,0,0,0,0,0,0,1,1,0],
[TENSOR,[48,2]],[2346900864,750464,-2688,-40116,92400,13020,222,-300,896,-64,
0,189,-244,840,80,-180,48,80,26,30,-12,18,-12,-35,0,0,0,0,-21,15,-57,-21,15,6,
-11,-3,0,-4,32,-4,-4,-4,-4,8,0,-4,0,2,0,-4,1,0,9,0,0,0,0,-9,-1,3,-1,-3,2,0,1,
1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,-1,-1,-1,2,2,-1,1,0,0,1,10735296,
-33088,2176,-384,-64,0,10842,-1416,440,420,122,-40,-12,-100,-40,8,8,-16,-16,0,
21,-3,106,34,16,8,-2,-6,2,8,-2,-6,-6,-4,0,2,0,5,1,0,15,-3,-3,-1,-3,5,5,-1,-1,
0,1,1,0,0,2,2,2,0,0,0,-1,0,0,-3,-3,0,0,0,0,1,1,-1,0,-1,-1,1,0,0,0,1,0,0,0,0,0,
-1],
[TENSOR,[50,2]],[3178094920,886600,-9912,-111800,-99407,17962,-263,-182,1480,
-120,-56,120,-440,-966,-431,72,177,10,1,33,-6,9,-6,21,0,0,-8,0,7,-20,-74,7,34,
-2,0,8,0,-8,-23,-8,0,-2,1,-3,1,-2,-2,-6,1,0,1,0,0,3,-3,0,0,6,-2,3,4,0,-2,0,0,
0,-3,0,0,0,0,0,0,0,0,1,0,0,1,1,-1,0,0,-1,0,0,1,-2,1,0,0,0,0,1,0,0,0,2236520,
-5016,1800,-120,40,168,-4264,-781,-429,434,24,195,29,66,-30,21,0,0,0,8,20,4,0,
-48,-9,-5,18,0,-8,-5,-3,-3,-6,-2,-3,1,0,-1,3,0,-25,-16,-16,3,2,0,0,3,0,2,0,0,
0,0,0,0,0,-1,0,0,1,0,0,-4,4,-1,1,1,0,0,0,1,0,0,-1,0,0,0,-1,0,0,0,-1,0,0,1],
[TENSOR,[52,2]],[3208653525,648725,32725,425775,51150,3360,1011,-105,85,525,
69,0,455,280,158,463,46,104,23,-17,16,-5,7,0,0,1,-7,-3,-15,-60,84,-15,-6,3,0,
0,0,43,22,19,15,-8,7,-6,6,-5,0,0,3,-1,0,0,0,0,0,-1,0,4,-4,1,-4,-2,-1,1,0,0,0,
0,0,0,0,0,1,1,1,2,0,-1,0,0,0,0,0,0,0,0,0,4,1,0,-1,-1,-1,0,0,0,0,38386425,
46585,6825,265,169,161,8085,3846,550,660,325,118,-15,100,28,1,7,5,-3,5,0,0,
-15,21,-6,-2,12,-23,1,-2,3,-5,4,4,-1,1,-1,0,0,-1,-15,12,12,1,-6,4,4,1,-2,-3,0,
0,0,0,3,-1,0,2,-1,-1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,-1,-1,0],
[TENSOR,[54,2]],[3283490925,439725,25965,421200,71280,5670,1296,0,45,405,-35,
0,-960,450,-24,144,288,-6,-24,-36,-18,36,0,15,-6,9,1,-3,0,0,81,0,0,0,0,0,0,24,
0,-24,0,-6,6,0,4,0,-2,0,-2,0,-1,2,0,0,0,-1,0,9,-3,0,0,0,0,0,0,0,3,0,0,0,0,0,0,
0,0,-2,0,0,0,0,-1,0,0,0,0,0,0,-3,0,0,0,0,0,-1,2,0,0,37741275,20955,4075,75,75,
-189,7020,4590,990,540,300,-186,54,180,-24,18,0,15,-9,-9,0,0,-20,-20,-2,-6,-2,
12,12,-18,-2,-6,-6,0,0,0,0,5,-3,1,0,18,-9,0,0,-6,3,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,1,-2,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1],
[TENSOR,[56,2]],[5005499499,627627,-24213,376740,151965,-882,1305,0,747,-413,
-37,-126,84,294,-123,228,-147,102,-15,-3,-18,21,0,0,0,-9,-1,3,-99,45,27,-18,
18,0,2,2,0,60,-27,12,4,-6,15,1,-7,0,2,-2,-1,0,0,0,15,0,3,1,0,3,-9,-3,-3,0,0,0,
2,2,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,-1,0,0,0,3,-3,1,0,0,0,0,0,0,-1,
45792747,1771,7483,-165,-133,35,-3276,1341,1837,774,-236,-11,45,-26,-2,1,-14,
15,-9,-1,-28,-4,4,28,-23,-7,22,-12,-4,5,1,-3,6,2,-1,-1,2,0,0,1,-9,9,-9,7,0,1,
-5,-2,-2,0,8,0,0,0,0,0,0,-1,0,0,0,0,0,-1,-1,-1,-1,2,0,1,1,-1,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0],
[TENSOR,[58,2]],[5775278080,0,49152,457600,58432,1408,760,832,0,0,0,-120,0,
-384,0,384,192,0,0,48,0,24,0,-16,-2,0,0,0,58,40,-32,58,13,4,0,-8,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-2,0,-3,3,0,0,0,0,6,0,3,0,0,0,0,-4,-1,1,0,-1,-1,0,0,0,0,0,0,
1,1,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,1,0,0,49786880,45056,0,0,0,0,-4576,4928,704,
176,416,128,284,-16,-16,20,8,0,0,0,-20,-4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-4,4,
0,14,-4,-4,2,5,-4,-4,2,-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,4,-4,1,-1,-1,0,0,0,0,0,
0,2,1,-1,-1,-1,0,0,0,1,0,0,0],
[TENSOR,[60,2]],[6471756928,267904,-43904,697060,39016,9856,1594,910,-640,0,0,
28,28,-56,280,-380,-56,-8,10,-2,16,-2,-2,0,0,0,0,0,190,-44,46,28,10,1,4,-4,-1,
8,8,-16,0,8,8,0,0,2,0,0,0,0,0,0,10,1,1,0,0,-2,-2,-2,4,-2,1,1,0,0,0,0,0,-1,0,0,
-6,6,0,0,0,0,1,1,0,0,-2,-1,-1,-1,0,2,2,0,0,0,0,0,0,1,0,66038336,-36288,1344,
-448,192,0,8918,8432,144,656,-378,0,170,144,0,-18,0,0,0,0,-14,2,30,42,48,-24,
12,-10,-6,0,6,2,-4,0,0,0,0,0,0,0,8,8,8,0,8,0,0,0,0,-1,-6,2,1,1,0,0,0,0,0,0,0,
0,0,-2,2,1,-1,-1,0,0,0,0,-1,0,0,0,0,0,-1,0,1,1,0,0,0,0],
[TENSOR,[62,2]],[7150713570,484770,-16926,-46215,227403,12348,-288,-351,354,
106,-14,-105,2001,84,147,-231,219,-60,12,-24,12,12,-15,35,0,-10,-2,-6,-72,45,
0,9,18,0,-5,-1,0,21,3,-3,1,12,-6,7,7,-3,4,4,-2,0,-1,0,-15,3,3,0,0,0,0,0,-3,0,
0,0,1,-1,-1,-1,0,0,0,0,-1,-1,-1,1,0,0,0,0,1,0,1,-1,0,0,0,0,0,1,0,0,0,-1,0,0,1,
15096510,-56386,-370,-594,78,182,10179,-351,209,864,179,-199,54,-16,8,2,-1,
-14,-6,2,35,-1,-1,-13,-19,-3,8,-9,15,9,-4,0,0,0,2,0,-1,-5,-1,0,0,-9,18,8,0,-1,
2,-1,2,0,5,1,0,0,-3,1,0,-1,0,0,1,0,0,-1,-1,-1,-1,-1,0,2,-1,0,0,1,1,-1,0,0,0,
-1,0,0,0,0,0,1],
[TENSOR,[64,2]],[8529641472,1441792,0,509952,-8448,17472,-1320,768,0,0,0,272,
-512,0,640,0,0,64,-8,0,0,0,0,-26,-12,0,0,0,-24,-6,120,-24,-6,-6,-8,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,2,0,2,2,2,0,0,0,4,0,-2,0,-2,0,0,0,-5,-2,0,0,1,1,0,0,0,0,0,
1,0,0,0,0,-2,0,0,0,-1,0,0,0,1,1,1,-1,0,-1,0,73531392,0,8192,0,0,0,29184,1536,
0,-192,0,0,24,0,0,0,0,0,0,0,-8,0,128,-64,-16,0,-16,0,0,0,8,0,0,0,0,0,0,4,0,0,
24,-12,-12,0,6,0,0,0,0,0,-8,0,0,0,0,0,0,0,-1,-1,2,0,0,4,0,-2,0,0,0,2,2,0,0,0,
1,0,1,1,0,-2,0,0,-1,-1,-1,-1],
[TENSOR,[66,2]],[9100908180,616980,17556,745290,-71433,8757,-477,-819,-44,84,
-76,105,714,-399,327,330,87,-87,3,-21,-3,-21,-3,0,0,-4,-4,-4,117,0,45,36,27,0,
5,1,1,10,-17,10,-6,1,-17,3,-1,1,5,3,-1,0,0,0,15,-3,-3,0,0,-3,-3,-3,0,-3,0,0,
-1,1,0,0,0,1,0,0,2,2,-1,-1,-1,0,0,0,0,0,-1,1,1,1,0,1,1,0,0,0,0,0,0,0,-1,
83259540,35476,3220,84,-76,-28,11466,7011,-989,-279,106,-29,-117,1,-11,19,7,4,
4,-4,-35,1,106,-14,7,-13,7,-6,2,11,-5,3,3,5,-1,-1,-1,0,0,0,-9,-18,9,7,-9,-2,1,
-2,1,0,-5,-1,1,1,-2,-2,1,-1,0,0,0,0,0,1,1,1,1,1,0,1,-2,-1,0,-1,0,0,0,0,0,1,1,
1,0,0,0,0],
[TENSOR,[68,2]],[9441555200,1478400,8960,-204400,305360,14840,-1900,350,1280,
0,0,0,1680,1400,-336,-112,-112,24,-12,-4,-40,-4,14,0,0,0,0,0,98,80,-46,-10,
-10,-4,0,0,0,-16,-16,-16,0,-16,-16,0,0,2,0,0,0,-1,0,0,0,0,0,0,0,2,-6,2,0,2,0,
2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,-1,0,-1,0,0,0,0,0,2,2,0,-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,E(13)-E(13)^2+E(13)^3+E(13)^4-E(13)^5
 -E(13)^6-E(13)^7-E(13)^8+E(13)^9+E(13)^10-E(13)^11+E(13)^12,
-E(13)+E(13)^2-E(13)^3-E(13)^4+E(13)^5+E(13)^6+E(13)^7+E(13)^8-E(13)^9
 -E(13)^10+E(13)^11-E(13)^12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
E(13)-E(13)^2+E(13)^3+E(13)^4-E(13)^5-E(13)^6-E(13)^7-E(13)^8+E(13)^9+E(13)^10
 -E(13)^11+E(13)^12,-E(13)+E(13)^2-E(13)^3-E(13)^4+E(13)^5+E(13)^6+E(13)^7
 +E(13)^8-E(13)^9-E(13)^10+E(13)^11-E(13)^12,0],
[TENSOR,[70,2]],[10169903744,1299584,-11648,-151372,-48664,3500,2204,728,-384,
64,0,69,1028,-560,344,-140,-56,200,20,-20,-44,4,-8,-21,0,0,0,0,44,35,-55,44,8,
-1,9,-3,0,-36,-24,12,4,-12,0,-8,0,0,0,-2,0,0,-1,0,3,6,0,0,0,1,5,4,-1,-2,-1,1,
-1,1,3,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,3,0,0,0,-1,-3,0,1,0,0,0,-1,0,0,-1,
17892160,-40128,-1280,-256,-192,0,19942,-416,0,-200,102,48,16,0,-60,0,0,16,16,
0,-15,-3,-74,22,16,24,-2,-10,6,0,4,-4,2,0,0,0,0,-1,3,0,16,7,7,0,-2,3,3,0,0,1,
-5,-1,0,0,-2,-2,-2,0,0,0,1,0,0,-3,-3,0,0,0,0,1,1,0,-1,1,-1,0,0,0,1,1,0,0,-1,0,
0,1],
[TENSOR,[72,2]],[21553171200,-211200,80640,-54000,23760,-15120,4320,54,1280,0,
0,0,-240,0,48,-240,144,-96,48,0,-48,48,6,-20,36,0,0,0,-54,0,54,-54,0,0,0,0,0,
-16,-16,-16,0,-16,-16,0,0,2,0,0,0,2,4,0,0,0,0,0,0,6,6,-6,0,0,0,0,0,0,-2,-2,0,
0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,2,2,0,2,2,2,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[
13904165275,2277275,37275,-120575,-179300,18340,682,-182,1435,315,27,0,-175,
-840,-364,-63,-372,176,14,-30,12,-18,-6,0,0,3,-5,3,61,-20,-47,-20,7,-2,0,0,0,
-23,4,25,-15,4,4,0,0,-2,0,6,0,0,0,0,0,0,0,-1,0,9,5,-3,-4,3,2,0,0,0,0,0,0,0,0,
0,-3,-3,0,-2,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,48923875,38115,7875,
195,227,-189,5005,-4418,-1650,820,45,-90,64,60,0,-12,0,-5,-5,3,0,0,45,21,18,2,
18,-3,5,-10,-6,6,6,-4,0,2,0,0,0,-1,-17,-8,1,-9,1,0,-3,0,-3,4,0,0,0,0,1,1,-2,0,
0,0,0,0,0,0,0,0,0,0,0,3,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0],
[TENSOR,[75,2]],[13904165275,675675,10395,1599325,21175,-11900,304,-1001,155,
35,-21,0,-315,0,-513,189,135,72,0,0,-36,0,-9,0,0,-1,7,3,196,25,-65,-20,-20,-8,
0,0,0,161,-25,-7,5,-4,8,-1,3,-1,0,2,0,0,0,0,0,0,0,1,0,-9,3,0,-3,0,0,0,0,0,0,0,
0,0,0,0,-1,-1,-1,1,0,0,-2,1,0,0,0,0,0,0,0,-1,2,-1,0,0,0,0,0,0,0,146771625,
15785,9625,-135,153,49,-9555,18093,605,-510,125,-91,-240,-70,-10,-16,-7,5,-3,
5,0,0,-95,-35,13,9,4,9,-15,-3,-8,0,0,-6,4,0,1,0,0,-1,30,3,3,2,-6,-1,-1,2,2,0,
0,0,0,0,3,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[TENSOR,[77,2]],[14507059905,1605825,-11583,0,-216513,19683,0,0,1665,-15,-63,
-120,0,-729,567,0,-81,-81,0,0,27,0,0,9,2,9,1,1,0,0,0,0,0,0,0,-8,-3,0,-9,0,0,
-9,0,3,3,0,3,-3,0,0,-3,2,0,-3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,1,1,
0,0,0,-1,0,0,1,0,0,-1,0,0,0,0,0,0,0,-1,0,0,55582605,-3699,2925,45,45,189,
18954,-2187,-891,-729,-54,189,0,-81,27,0,0,5,5,5,-20,-4,90,-54,9,9,9,-6,-6,-3,
0,0,-3,3,0,0,0,1,-3,1,0,0,0,0,0,0,0,0,0,0,0,0,-3,1,2,2,-1,-1,0,0,-1,0,0,4,-4,
1,-1,-1,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,1,0,0,2],
[TENSOR,[79,2]],[17068369920,665600,43008,542400,-62832,672,996,960,0,0,0,120,
320,-336,752,192,-48,-112,-4,-12,0,12,0,-14,0,0,0,0,24,60,-12,24,-21,6,0,8,-3,
0,0,0,0,0,0,0,0,0,0,0,0,4,-2,0,0,3,-3,0,0,-12,-4,0,-4,3,2,0,0,0,-2,1,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,1,1,-2,-2,0,0,0,102097920,41984,0,0,0,0,
15456,2928,176,-1176,224,80,228,-184,8,-4,8,0,0,0,20,4,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-6,-2,0,12,12,12,-4,3,-4,-4,-4,-1,0,0,0,-3,1,0,0,0,0,2,2,0,0,0,-4,4,
-1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,-1,-1,0],
[TENSOR,[81,2]],[17161712568,1438008,47544,-218322,170478,8883,1107,-702,-200,
168,-40,-132,-426,231,582,-114,222,159,15,15,27,3,18,-14,0,0,0,8,-27,0,-54,
-27,0,0,8,4,0,-14,-2,10,6,19,-5,6,2,-2,-1,-3,-1,0,-2,0,3,3,3,0,0,-6,-6,-3,0,0,
0,0,-2,0,1,-2,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,1,0,0,1,-2,1,0,0,0,0,1,0,0,1,
12077208,97944,-2952,312,248,168,11934,594,66,189,-210,42,27,21,33,3,0,0,-16,
0,8,4,-54,6,18,14,-9,18,2,2,-3,-3,3,5,-3,-1,0,-4,0,0,27,0,0,3,0,0,0,3,0,0,-2,
2,0,0,-4,0,-1,0,0,0,2,0,0,-1,-5,-1,1,1,0,0,0,-1,0,0,-1,0,0,0,0,1,0,0,1,0,0,
-1],
[TENSOR,[83,2]],[36963688608,3097248,75936,-490644,300564,-7560,-2214,756,928,
672,32,-42,-1092,840,132,-468,372,168,-30,-78,24,-54,-12,0,0,0,0,0,54,0,-54,
54,0,0,-2,6,0,-44,-44,4,12,-8,10,-12,-4,4,8,0,2,2,0,0,6,-6,0,0,0,-6,-6,6,0,0,
0,0,2,-2,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,-2,0,0,0,0,-2,-2,0,2,2,2,0,0,0,2,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0],[25027497495,1216215,18711,114660,254628,10899,207,819,23,63,
-89,70,252,315,324,132,36,-117,27,-9,3,-21,3,0,0,-5,3,-1,-63,-54,-45,18,0,0,
-10,6,0,32,-4,8,-12,-13,5,0,4,-1,-5,3,1,0,0,0,10,-2,4,1,0,3,3,-3,6,0,0,0,-2,
-2,0,0,0,0,0,0,-2,-2,1,0,-1,0,0,0,0,0,2,0,0,0,0,-1,-1,0,0,0,0,0,0,1,-2,
88062975,48895,175,15,-209,-217,16380,-954,550,1395,-20,214,99,-125,43,-17,7,
-5,-13,-5,0,0,40,28,-14,-2,-5,0,-8,-2,1,-3,3,-5,-1,1,-1,0,0,1,-9,0,9,-5,0,4,1,
4,4,0,0,0,0,0,2,-2,-1,-2,0,0,0,0,0,0,0,0,0,0,0,1,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0],
[TENSOR,[86,2]],[27808330550,-250250,-6090,1171625,-77935,4550,-40,455,310,
-210,166,0,-455,210,-527,105,273,-86,40,-60,-18,-12,-9,0,0,10,10,6,122,50,5,
14,14,2,0,0,0,-47,-23,1,-15,10,-2,-3,1,-5,-2,0,-2,0,0,0,0,0,0,0,0,-3,1,-6,-2,
0,-2,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,2,-1,0,0,0,0,0,0,0,1,-2,0,0,0,0,0,0,0,0,
176125950,-770,-2450,270,-178,182,-4095,9027,-605,-450,-95,-365,36,70,-14,16,
7,10,-14,2,0,0,25,49,7,11,-20,9,-7,11,4,0,0,2,2,2,-1,0,0,0,-18,0,-9,-2,0,4,-5,
-2,-2,0,0,0,0,0,1,1,-2,-1,0,0,0,0,0,0,0,0,0,0,0,1,-2,2,0,0,0,0,0,0,0,0,0,0,0,
0,0,0],
[TENSOR,[88,2]],[29444114700,300300,-22260,655200,150975,-16695,-3087,819,
1100,-420,140,0,-840,105,-129,0,-129,-39,33,-3,57,45,3,0,0,4,-4,-4,-36,0,-45,
45,-27,0,0,0,0,44,-25,20,0,5,-1,3,-1,-1,5,-3,-1,0,0,0,0,0,0,0,1,3,3,0,0,-3,0,
0,0,0,0,0,0,0,0,0,-2,-2,1,-1,-1,0,0,0,0,0,0,0,0,0,0,-1,2,0,0,0,0,0,0,0,0,
145044900,-35420,4900,420,36,-28,-16380,873,1705,-585,-140,-23,-99,-185,-41,
-23,7,20,4,4,0,0,40,28,13,9,-5,0,0,-15,1,-3,3,3,-1,3,-1,0,0,0,-18,-18,9,10,9,
-2,1,1,1,0,0,0,0,0,-2,2,1,1,0,0,0,0,0,0,0,0,0,0,-1,1,-2,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0],
[TENSOR,[90,2]],[35594663104,192192,23744,25480,342892,154,856,-728,960,-448,
64,-196,1176,-574,60,-184,-52,-30,-48,20,26,-4,8,0,0,0,0,0,46,19,100,-8,1,4,
-8,4,0,-48,-12,0,-16,6,6,-16,4,0,-2,2,-2,0,0,0,5,2,-1,0,0,-4,0,2,3,-1,0,2,2,0,
0,0,0,0,0,0,0,0,0,0,0,0,-2,1,0,0,1,1,0,0,0,0,0,-1,0,0,0,0,0,-1,-1,75147072,
-73920,448,192,192,0,2184,-1164,660,834,168,-156,78,-78,-30,-6,0,0,0,0,-28,0,
16,-56,16,12,-2,0,0,12,-2,-6,6,6,0,0,0,0,0,0,-30,-3,-12,-18,-3,-3,0,0,3,0,-2,
2,0,0,0,0,0,0,0,0,0,0,0,-1,3,-1,-3,0,0,-2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0],
[TENSOR,[92,2]],[36858678129,-1825551,37233,132678,115182,25515,1458,0,-591,
-399,17,-21,1134,-945,-378,-90,-162,135,-54,-54,-45,18,0,0,0,9,9,-7,0,0,0,0,0,
0,-1,3,-2,-6,30,18,6,3,-6,6,2,0,-1,-3,2,0,0,0,3,-3,0,1,0,0,0,0,0,0,0,0,1,-1,0,
0,0,-2,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,43230915,
-56637,-2205,99,3,-189,0,486,54,243,144,-18,0,27,63,0,0,11,-5,3,-35,-7,36,0,
-18,-6,9,12,-12,6,0,0,-3,3,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-5,-1,2,2,-2,2,1,
0,0,0,0,0,0,-5,-1,-2,2,-1,0,0,0,0,0,1,0,0,0,0,0,1,-1,-1,0,0,0,0],
[TENSOR,[94,2]],[37337059200,560000,-49280,1470000,114060,7140,-1122,-924,
-640,0,128,0,560,-140,1100,-464,76,20,-34,22,4,22,4,0,0,0,0,0,93,30,-6,12,3,
-6,0,0,1,-16,-28,-16,0,-4,2,0,-4,-4,-4,0,2,-1,0,0,0,0,0,0,0,10,2,1,2,1,2,-2,0,
0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,1,0,2,-1,0,-1,-1,-1,0,0,0,0,
236476800,-67200,0,0,-128,0,15120,9612,780,540,-240,300,-108,60,12,-12,0,0,0,
0,0,0,0,0,0,-20,0,0,16,4,0,0,0,4,0,4,0,0,0,0,27,-18,0,-9,-9,-6,0,0,-3,0,0,0,
-1,-1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,-1,0,1,1,0],
[TENSOR,[96,2]],[38641860608,2555904,0,366080,-224896,31712,-1336,-832,0,512,
0,8,-384,0,192,0,0,-96,-24,0,0,0,0,1,8,0,0,0,-40,-31,32,41,-4,-4,4,0,-1,0,0,0,
-16,0,0,8,0,0,0,-4,0,0,1,0,5,-1,2,0,0,0,0,0,-3,0,0,0,2,0,1,1,2,-1,0,0,0,0,0,0,
0,0,-1,-1,1,0,1,0,-1,-1,1,0,0,-1,0,0,0,1,0,-1,-1,166559744,32768,4096,0,0,0,
34112,-2176,-1024,-880,-64,-64,-232,128,8,-16,8,0,0,0,-6,-2,64,64,-8,0,-8,0,0,
0,-8,0,0,0,0,0,0,1,1,0,-16,11,2,8,2,-1,2,-1,2,2,-4,0,-1,-1,0,0,0,0,0,0,1,0,0,
-3,1,0,-2,1,0,-2,1,0,0,0,1,1,0,0,-1,-1,-1,-1,1,0,0,1],
[TENSOR,[98,2]],[40043995992,-744744,53592,1023750,-83358,8253,1692,0,-168,
-280,-8,42,-210,609,618,102,114,-39,24,-12,-27,-24,0,0,0,0,0,-8,18,-45,-108,
-63,-18,0,6,2,0,-6,-6,18,-10,21,-6,-10,-2,0,1,-1,-2,0,0,0,0,-3,3,0,0,12,0,6,3,
0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,
197261064,22792,-6104,360,-216,56,-1638,6786,-1166,549,202,58,-18,-131,-23,
-14,-14,0,-16,0,14,2,142,-14,-2,-18,7,6,6,-6,4,0,3,-3,2,0,2,0,0,0,-18,9,0,10,
0,1,4,1,-2,0,-4,0,0,0,-4,0,-1,0,0,0,0,0,0,2,2,-1,-1,-1,0,-2,1,0,0,0,0,0,0,0,0,
2,0,0,0,0,0,0],
[TENSOR,[100,2]],[44493328880,880880,-45584,1309490,51722,-13888,1664,728,
-144,-336,48,105,1274,-224,-238,-494,154,32,32,-8,64,-8,-8,0,0,0,0,0,-172,
-100,-28,-10,8,-1,5,1,0,54,18,-18,-6,0,0,6,6,0,0,0,0,0,0,0,15,-3,-3,0,0,4,-4,
4,-4,4,-1,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,
0,-1,250490240,-88704,6720,64,0,0,-5824,4382,-594,1466,-144,-90,8,-54,18,0,0,
-16,16,0,-35,1,-84,0,-30,18,6,4,12,6,0,-8,-2,-6,0,0,0,0,0,0,8,8,8,0,8,0,0,0,0,
-1,-5,-1,0,0,-2,2,-2,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,-1,0,0,0,0,-1,1,0,0,0,0,
0,0],
[TENSOR,[102,2]],[45049495491,2573571,40131,1002456,68607,-7938,-1377,0,195,
315,-77,-84,-168,-126,39,216,-369,138,39,-45,54,27,0,0,0,-9,7,3,0,0,81,0,0,0,
-4,-4,0,-24,15,-24,0,18,-15,-9,-5,0,-2,0,1,0,0,0,6,-3,-3,1,0,9,-3,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,-1,0,0,0,-3,0,0,0,0,0,0,0,0,0,243053811,
63987,12131,3,-189,-21,9828,-621,99,756,132,-165,27,-36,24,-9,0,15,-9,7,-14,2,
-100,-28,35,-9,-10,12,12,3,-1,3,-6,0,-3,-3,0,0,0,1,0,-18,9,0,0,6,-3,0,0,0,6,
-2,0,0,0,0,0,1,0,0,0,0,0,-2,2,1,-1,-1,0,-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[TENSOR,[104,2]],[46602926370,1171170,-10206,2100735,-197802,-11907,1215,0,
354,-294,-14,-105,1071,189,-90,63,54,45,-9,27,45,-45,0,0,0,6,-2,2,0,0,0,0,0,0,
-5,-1,0,39,30,-9,-9,-15,-15,-6,-2,0,1,-3,1,0,0,0,-15,3,3,0,0,0,0,0,0,0,0,0,1,
-1,0,0,0,0,0,0,3,3,0,-2,-1,0,0,0,0,1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,317026710,
-1386,9030,486,-90,-210,-7371,12312,-2376,-81,-171,72,-81,-81,-9,27,0,-14,10,
-6,35,-1,-51,21,12,0,3,-3,-3,0,3,-9,3,3,-3,-3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,1,
0,0,1,1,1,0,0,0,0,0,0,-1,-1,-1,-1,-1,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0],
[TENSOR,[106,2]],[54234085491,1384371,93555,531441,0,0,0,729,-1485,27,99,216,
729,0,0,81,0,0,0,0,0,0,9,19,12,-1,-9,3,0,0,0,0,0,0,-4,0,3,-27,0,-3,9,0,0,0,0,
-3,0,0,0,1,-5,0,-9,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,-1,0,0,-1,-1,-1,0,0,1,0,0,
-1,0,-1,0,0,0,-1,0,0,0,1,1,1,1,0,0,-1,207793431,80919,-729,135,135,63,19683,0,
0,0,243,0,0,0,0,0,27,-5,3,3,6,-6,-81,27,0,0,0,-9,-9,0,0,0,0,0,0,0,3,-1,-1,1,0,
0,0,0,0,0,0,0,0,0,-4,0,3,-1,-3,1,0,0,1,1,-1,0,0,3,3,0,0,0,0,0,0,0,0,0,-1,-1,0,
0,0,-1,0,0,-1,1,1,-1],
[TENSOR,[108,2]],[108963254400,3203200,69760,-764400,-521400,3480,1050,-1092,
640,0,128,0,2800,-440,136,-368,-440,-152,82,-62,-8,10,28,0,-14,0,0,0,78,60,
-66,-84,6,6,0,0,0,64,-8,-32,0,-8,10,0,8,4,8,0,2,0,0,-2,0,0,0,0,0,-2,-2,-2,4,
-2,-2,-2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,0,0,0,0,1,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0],[55616661100,2702700,-101780,-236600,445555,11935,-242,91,
300,-420,44,0,0,595,-189,232,19,27,54,-26,-41,-2,-5,0,0,-4,-4,4,82,-80,28,28,
-17,4,0,0,0,-60,3,12,0,3,-6,3,11,3,-1,-3,2,0,0,0,0,0,0,0,0,4,0,-2,0,1,0,-2,0,
0,0,0,0,0,0,0,2,2,-1,-1,1,0,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,117417300,
-66220,2100,180,84,-140,21840,-3459,605,1455,-160,173,132,-25,11,20,-7,-20,-4,
4,0,0,-60,0,21,21,-15,12,-12,-3,0,0,-3,3,4,0,1,0,0,0,-30,-12,6,14,-3,-4,2,-4,
-1,0,0,0,0,0,2,-2,-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],
[TENSOR,[111,2]],[63831063582,393822,36126,767637,216513,19683,0,0,-1314,294,
78,57,405,-729,-567,405,81,-81,0,0,27,0,0,6,-1,-6,2,-2,0,0,0,0,0,0,-3,1,0,-27,
9,-27,-3,-9,0,-3,-3,0,3,-3,0,0,2,-1,12,3,3,0,0,0,0,0,0,0,0,0,-1,1,3,0,-1,0,0,
0,-3,-3,0,-1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,-1,-1,0,2,244563462,120582,
-3978,-234,-234,-162,9477,2187,891,729,-27,-189,0,81,-27,0,0,-14,10,10,-13,7,
45,-27,-9,-9,-9,-3,-3,3,0,0,3,-3,0,0,0,-4,0,0,0,0,0,0,0,0,0,0,0,0,-3,1,0,0,1,
1,1,1,0,0,-2,-1,-1,2,-2,-1,1,1,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,1,0,0,1],
[TENSOR,[113,2]],[130787835904,2883584,0,-806912,-129536,-22400,496,1792,0,0,
0,-96,-1024,0,1280,0,0,128,-16,0,0,0,0,12,12,0,0,0,64,100,-80,10,28,4,-16,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-2,4,0,-12,-6,0,0,0,0,8,0,-4,0,-4,0,0,0,6,0,0,0,0,0,0,
0,0,0,0,2,-2,1,0,0,-4,0,0,0,2,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[
67331776512,2342912,57344,1440192,-109824,336,-2256,624,0,0,0,-188,320,896,
-256,-64,-256,32,-40,32,-16,8,-16,-14,0,0,0,0,-42,-114,84,-42,21,3,12,4,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-2,0,-8,1,1,0,0,-4,8,2,2,-1,-1,-1,0,0,-2,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,1,0,0,1,0,0,0,0,0,0,-2,0,1,0,343529472,22528,10752,512,0,0,
4368,1344,-704,-384,208,64,156,16,-8,-20,-8,0,0,0,22,-2,-48,0,-48,0,-12,-16,0,
0,0,8,-4,0,0,0,0,6,2,0,-6,-6,-6,-2,3,-2,-2,-2,1,-3,2,2,0,0,0,0,0,0,0,0,0,0,0,
-2,-2,1,1,1,0,0,0,0,-1,0,0,-1,0,0,0,2,0,0,1,0,0,0],
[TENSOR,[116,2]],[71189326208,2946944,-24192,591500,-148192,-448,-1906,182,
128,0,0,-42,-700,-504,-160,300,288,56,2,-18,-48,-6,6,0,0,0,0,0,-205,110,-34,
-43,2,2,-6,-2,0,32,-16,8,0,8,-4,0,0,2,0,0,0,0,0,0,0,3,-3,0,0,6,2,3,2,0,2,0,0,
-2,0,0,0,0,0,0,-6,6,0,0,0,0,-1,-1,0,0,0,1,0,0,0,2,-1,0,0,0,0,0,0,0,0,
275539264,44352,12096,-960,-64,0,-3458,-5240,264,-1676,-18,72,-56,84,36,12,0,
0,0,0,14,2,-18,42,0,8,0,6,2,8,6,-6,0,-4,0,2,0,0,0,0,-29,-2,-2,3,-2,-6,-6,3,0,
-2,-4,0,0,0,0,0,0,0,0,0,0,0,0,2,2,-1,-1,-1,0,0,0,-1,0,0,0,0,0,0,1,2,0,0,0,0,0,
0],
[TENSOR,[118,2]],[74887473024,3978624,8064,-728676,-43416,29484,1782,0,384,64,
0,-1,-1716,504,-744,-36,72,-96,-42,18,36,18,0,-21,0,0,0,0,0,-81,-81,0,0,0,-1,
-1,1,36,24,-12,4,12,0,-8,0,0,0,-2,0,0,-1,0,-1,-1,-1,0,0,-9,3,0,3,0,0,0,-1,-1,
3,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,-1,-1,1,1,-1,3,0,1,0,0,0,-1,0,-1,-1,8783424,
-2496,-2176,384,-192,0,11934,432,144,-216,-66,96,-54,144,-12,-18,0,-16,-16,0,
-1,-1,-106,-34,-16,24,2,6,6,0,2,6,6,0,0,0,0,-1,3,0,0,9,9,0,0,-3,-3,0,0,0,-1,
-1,1,1,2,2,2,0,0,0,1,0,0,-1,-1,-1,-1,-1,0,-1,-1,0,0,-1,-1,0,0,0,0,-1,1,1,-1,0,
0,1],
[TENSOR,[120,2]],[154015369200,6006000,-42000,-1250550,-431640,-8820,414,378,
240,-560,-80,0,2730,-420,-312,138,552,156,-42,-42,12,30,-6,0,0,-16,0,0,144,
-90,0,-18,-36,0,0,0,0,-102,24,-6,10,-12,6,16,-8,-6,4,4,-2,4,0,0,0,0,0,0,0,0,0,
0,6,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,-2,1,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0],[77108871168,2555904,0,437760,220032,10080,360,-1728,0,
-512,0,168,-384,0,192,0,0,-96,-24,0,0,0,0,-35,0,0,0,0,-72,45,0,9,18,0,4,0,-1,
0,0,0,16,0,0,-8,0,0,0,4,0,4,1,0,-15,-3,0,0,1,0,0,0,-3,0,0,0,-2,0,1,1,0,-1,0,0,
0,0,0,0,0,0,0,0,-1,0,1,0,-1,-1,0,0,0,1,-2,-2,1,1,0,0,1,264536064,-32768,4096,
0,0,0,22464,-3456,1024,432,64,64,-216,-128,-8,16,-8,0,0,0,14,2,64,64,-8,0,-8,
0,0,0,-8,0,0,0,0,0,0,-5,-1,0,0,9,-18,-8,0,1,-2,1,-2,0,-4,0,1,1,0,0,0,0,0,0,1,
0,0,-1,-1,2,2,-1,-1,-2,1,0,0,0,1,-1,0,0,0,-1,1,1,0,0,0,1],
[TENSOR,[123,2]],[77379702400,3203200,-76160,1155700,-119240,10360,-980,910,
-640,0,0,0,-980,-560,136,-236,88,64,28,-20,-56,-20,-2,0,0,0,0,0,-170,100,46,
-8,-8,1,0,0,0,8,8,-16,0,8,8,0,0,2,0,0,0,0,0,0,0,0,0,0,0,-2,-2,-2,4,-2,1,1,0,0,
0,0,0,0,-1,-1,6,-6,0,0,0,0,1,1,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,353953600,
-73920,11200,-320,192,0,22750,-2144,0,-1280,-210,-48,232,0,-48,0,0,0,0,0,0,0,
-50,-14,-32,-24,4,22,-6,0,4,4,4,0,0,0,0,0,0,0,16,-2,-2,0,-2,6,6,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,0,1,0,0,0,-1,-1,1,0,0,0,0,0,0,0],
[TENSOR,[125,2]],[102385217025,-2013375,76545,921375,155925,2835,-3726,0,705,
105,-143,0,735,-945,285,-225,-27,-57,42,-54,27,18,0,0,0,-3,5,1,0,0,-81,0,0,0,
0,0,3,15,21,15,15,-9,6,-3,1,0,-5,-3,-2,0,0,0,0,0,0,-1,0,-9,3,0,0,0,0,0,0,0,0,
0,0,-1,0,0,3,3,0,-1,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,312223275,12075,
-7525,315,315,-189,-12285,2781,1485,-945,195,-75,-216,135,-21,0,0,-25,-1,-1,0,
0,35,35,-19,9,17,3,3,-3,8,0,-3,3,0,0,0,0,0,1,0,-18,9,0,0,6,-3,0,0,0,0,0,-3,1,
-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[TENSOR,[127,2]],[111233322200,-1001000,-24360,2720900,129305,-700,-457,182,
-40,280,-104,0,-1820,-420,-407,-252,57,-20,-29,39,-12,27,6,0,0,0,-8,0,137,65,
-61,-25,-16,2,0,0,0,-76,41,20,-20,-4,5,1,1,2,4,4,1,0,0,0,0,0,0,0,0,3,-5,-3,1,
0,-2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,-1,0,0,0,0,0,0,0,-1,-1,1,0,0,0,0,0,0,0,
547947400,-46200,-7000,-600,8,168,-12740,14233,825,220,60,105,-23,60,60,-3,0,
0,0,-8,0,0,20,-28,-7,17,-16,-12,-4,-7,-1,3,0,-4,-3,-1,0,0,0,0,-23,-5,-5,-3,4,
3,3,-3,0,4,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,1,0,0,0,
0,0,0,0],
[TENSOR,[129,2]],[111233322200,2202200,29400,-104650,-71170,-29995,-565,182,
-40,-280,-8,0,350,105,134,150,78,161,-1,51,-3,15,6,0,0,0,0,-8,-25,-25,-25,29,
20,-10,0,0,0,-22,14,2,-10,5,5,-10,10,2,1,-1,1,0,0,0,0,0,0,0,0,-9,-1,-9,-1,0,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,-1,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,
234834600,64680,9800,-120,-56,-168,-30030,-6918,330,-735,-30,258,-141,105,-3,
15,0,0,-16,0,0,0,-10,-70,26,-2,-1,-18,-2,10,-7,-3,3,1,3,1,0,0,0,0,21,3,3,-3,
12,3,3,-3,0,0,0,0,0,0,-4,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0],
[TENSOR,[131,2]],[118588933386,-2453814,-105462,531441,0,0,0,729,1674,594,90,
-189,729,0,0,81,0,0,0,0,0,0,9,-35,0,-10,6,-6,0,0,0,0,0,0,11,3,0,-27,0,-3,9,0,
0,0,0,-3,0,0,0,1,1,0,-9,0,0,0,-1,0,0,0,0,0,0,0,-1,-1,1,1,0,0,0,0,-1,-1,-1,0,0,
1,0,0,-1,1,-1,0,0,0,0,0,0,0,1,1,1,1,0,0,-1,268909146,-16038,-4374,-54,-54,
-126,-19683,0,0,0,-243,0,0,0,0,0,27,14,6,6,21,-3,81,-27,0,0,0,9,9,0,0,0,0,0,0,
0,3,-5,-1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,3,-1,0,0,-1,-1,1,0,0,-3,-3,0,0,0,1,0,
0,0,0,-1,1,-1,0,0,0,1,0,0,0,-1,-1,1],
[TENSOR,[133,2]],[264780708192,-6054048,69984,-265356,32076,14580,-2916,0,
1632,-672,-32,42,-2268,540,540,180,108,108,-108,-108,36,-36,0,0,14,0,0,0,0,0,
0,0,0,0,2,-6,0,12,12,-36,-12,12,12,12,4,0,4,0,4,0,0,-2,-6,6,0,0,0,0,0,0,0,0,0,
0,-2,2,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0],[139317477376,-1441792,0,-296960,-137984,-4928,-824,2560,0,0,0,176,
512,0,-640,0,0,-64,8,0,0,0,0,-14,0,0,0,0,40,94,40,-14,22,-2,8,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-2,0,-10,-4,2,0,0,0,-4,0,2,0,2,0,0,0,1,-2,0,0,1,1,0,0,0,0,0,-1,
-2,1,0,0,2,0,0,0,1,0,0,0,-1,-1,-1,1,0,-1,0,73531392,0,-8192,0,0,0,29184,1536,
0,-192,0,0,24,0,0,0,0,0,0,0,-8,0,-128,64,16,0,16,0,0,0,-8,0,0,0,0,0,0,4,0,0,
24,-12,-12,0,6,0,0,0,0,0,8,0,0,0,0,0,0,0,-1,-1,-2,0,0,4,0,-2,0,0,0,-2,-2,0,0,
0,1,0,1,1,0,2,0,0,-1,-1,-1,1],
[TENSOR,[136,2]],[280191225600,-2745600,65280,-702000,308880,-21600,3672,702,
1280,0,0,0,-3120,-240,624,-48,336,48,-24,-24,0,24,-18,20,-22,0,0,0,-54,0,54,
-54,0,0,0,0,0,-16,-16,-16,0,-16,-16,0,0,2,0,0,0,0,-4,-2,0,0,0,0,0,6,6,-6,0,0,
0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,-2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0],[142169187069,2393469,60669,-767637,216513,0,0,0,-963,573,93,-6,
-405,0,-567,-405,81,0,0,0,0,0,0,21,0,-3,5,-3,0,0,0,0,0,0,-6,-6,-3,27,9,27,3,0,
0,-3,-3,0,0,0,0,0,1,0,-12,3,0,1,0,0,0,0,0,0,0,0,-2,2,-3,0,0,1,0,0,3,3,0,-1,0,
0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,-2,55582605,-3699,2925,45,45,189,-9477,
-2187,-891,1458,27,189,0,162,-54,0,0,5,5,5,-20,-4,-45,27,9,9,-18,3,3,-3,0,0,6,
-6,0,0,0,1,-3,1,0,0,0,0,0,0,0,0,0,0,0,0,-3,1,-1,-1,2,-1,0,0,-1,0,0,-2,2,-2,2,
-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,-1],
[TENSOR,[139,2]],[142378652416,-2306304,-48384,711256,-103928,35392,-734,364,
-1280,0,0,-84,1512,504,-72,24,360,72,-18,18,48,6,12,0,0,0,0,0,-59,-50,-14,-59,
4,4,-4,-4,0,-32,-56,16,0,-8,4,0,0,4,0,0,0,0,0,0,6,-3,-3,0,0,-6,6,-3,-6,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,-1,0,0,0,-2,1,0,0,0,0,0,0,0,0,350686336,
-29568,-12544,768,128,0,13468,2344,264,-1004,-228,24,184,84,-12,12,0,0,0,0,
-14,2,20,-28,-16,-16,-16,-12,-4,8,-10,-6,0,-4,0,2,0,0,0,0,-5,4,4,3,4,0,0,3,0,
-2,6,-2,0,0,0,0,0,0,0,0,0,0,0,-2,2,1,-1,-1,0,2,2,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,
0],
[TENSOR,[141,2]],[145650089984,2555904,0,-610816,-330880,19040,1544,896,0,
-512,0,-216,-384,0,192,0,0,-96,-24,0,0,0,0,21,0,0,0,0,32,5,32,32,-22,-4,4,0,3,
0,0,0,16,0,0,-8,0,0,0,4,0,-4,1,0,9,0,0,0,0,0,0,0,-3,0,0,0,-2,0,-3,0,0,-1,0,0,
0,0,0,0,0,0,-1,-1,-1,0,1,0,0,0,1,0,0,1,2,2,-1,1,0,0,1,166559744,-98304,-4096,
0,0,0,34112,-2176,0,-880,192,192,-232,0,-24,0,0,0,0,0,-6,6,-64,-64,8,0,8,0,0,
0,8,0,0,0,0,0,0,1,-3,0,-16,11,2,0,2,3,-6,0,0,2,4,0,3,-1,0,0,0,0,0,0,-1,0,0,-3,
-3,0,0,0,0,2,-1,0,0,0,1,0,0,0,-1,1,0,0,1,0,0,-1],
[TENSOR,[143,2]],[150201655296,-2342912,57344,600000,-244992,25872,1248,1392,
0,0,0,-204,-320,896,256,-64,-256,-32,40,32,-16,8,-16,14,0,0,0,0,6,-30,-12,6,
-3,-3,-12,4,0,0,0,0,0,0,0,0,0,0,0,0,0,4,2,0,0,3,-3,0,0,-4,-8,2,-2,-1,1,-1,0,0,
2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,-2,-2,1,2,0,0,0,343529472,
22528,-10752,-512,0,0,4368,1344,-704,-384,208,64,156,16,-8,-20,-8,0,0,0,22,-2,
48,0,48,0,12,16,0,0,0,-8,4,0,0,0,0,6,2,0,-6,-6,-6,-2,3,-2,-2,-2,1,-3,-2,-2,0,
0,0,0,0,0,0,0,0,0,0,-2,-2,1,1,1,0,0,0,0,1,0,0,-1,0,0,0,-2,0,0,1,0,0,0],
[TENSOR,[145,2]],[151397207325,2764125,42525,0,295245,0,0,0,-675,-315,-51,0,0,
0,-243,0,-243,0,0,0,0,0,0,0,0,9,1,-3,0,0,0,0,0,0,0,0,1,0,-27,0,0,0,0,9,-3,0,0,
0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,
-E(33)^5-E(33)^7-E(33)^10-E(33)^13-E(33)^14-E(33)^19-E(33)^20-E(33)^23
 -E(33)^26-E(33)^28,-E(33)-E(33)^2-E(33)^4-E(33)^8-E(33)^16-E(33)^17-E(33)^25
 -E(33)^29-E(33)^31-E(33)^32,0,0,0,0,0,0,0,0,0,0,0,343304325,19845,4725,405,
-171,189,0,-6561,1215,0,0,-81,0,0,0,0,0,-15,9,-7,0,0,0,0,27,-9,0,0,0,-9,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,-E(33)^5-E(33)^7-E(33)^10-E(33)^13-E(33)^14-E(33)^19
 -E(33)^20-E(33)^23-E(33)^26-E(33)^28,-E(33)-E(33)^2-E(33)^4-E(33)^8-E(33)^16
 -E(33)^17-E(33)^25-E(33)^29-E(33)^31-E(33)^32,0,0,0,0],
[TENSOR,[147,2]],
[GALOIS,[147,5]],
[TENSOR,[149,2]],[156321775827,-85293,39123,-531441,0,0,0,1458,-621,-189,-45,
27,-729,0,0,-81,0,0,0,0,0,0,18,14,0,-5,3,3,0,0,0,0,0,0,7,3,-3,27,0,3,-9,0,0,0,
0,-6,0,0,0,-4,2,0,9,0,0,-1,1,0,0,0,0,0,0,0,1,-1,-1,2,0,1,0,0,1,1,-2,0,0,0,0,0,
0,0,1,0,0,0,-1,0,0,0,-1,-1,2,-1,0,0,1,61115715,-96957,-3645,-189,-189,-189,
19683,0,0,0,243,0,0,0,0,0,0,19,3,3,15,3,-81,27,0,0,0,-9,-9,0,0,0,0,0,0,0,0,-4,
0,-1,0,0,0,0,0,0,0,0,0,0,5,1,-3,1,-3,1,0,0,-2,-2,2,0,0,3,3,0,0,0,1,0,0,0,0,-1,
-1,0,0,0,0,-1,0,0,1,1,1,-1],
[TENSOR,[151,2]],[156321775827,-85293,39123,1062882,0,0,0,-729,-621,-189,-45,
27,1458,0,0,162,0,0,0,0,0,0,-9,14,0,-5,3,3,0,0,0,0,0,0,7,3,-3,-54,0,-6,18,0,0,
0,0,3,0,0,0,-4,2,0,-18,0,0,-1,1,0,0,0,0,0,0,0,1,-1,2,-1,0,1,0,0,-2,-2,1,0,0,0,
0,0,0,0,-2,0,0,0,-1,0,0,0,2,2,-1,2,0,0,-2,476702577,64881,-5103,81,81,-63,0,0,
0,0,0,0,0,0,0,0,-27,9,9,9,27,-9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-3,-6,-2,1,0,0,0,
0,0,0,0,0,0,0,-3,1,3,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,1,0,0,0,0,
0,0,-1,0,0,0],
[TENSOR,[153,2]],[160313753600,0,-81920,-582400,471680,-3520,2096,728,0,0,0,0,
0,-1280,0,256,-128,0,0,16,64,-32,-8,0,7,0,0,0,44,80,8,-64,-10,-4,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-8,0,4,0,-2,0,-2,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,2,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,E(28)^3-E(28)^11-E(28)^15+E(28)^19-E(28)^23+E(28)^27,-E(28)^3+E(28)^11
 +E(28)^15-E(28)^19+E(28)^23-E(28)^27,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0],
[TENSOR,[155,2]],[329144794704,-1154736,27216,-1062882,0,0,0,-1458,-432,432,
144,54,-1458,0,0,-162,0,0,0,0,0,0,-18,-2,12,-16,0,0,0,0,0,0,0,0,14,6,0,54,0,6,
-18,0,0,0,0,6,0,0,0,-2,-2,0,18,0,0,0,0,0,0,0,0,0,0,0,2,-2,-2,-2,0,0,0,0,2,2,2,
0,0,2,0,0,-2,1,2,0,0,0,-2,0,0,0,-2,-2,-2,-2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[
169598100672,192192,52416,1120392,3564,-32886,648,0,960,448,64,-28,1176,-126,
60,72,-180,-30,-48,36,-54,-36,0,0,0,0,0,0,0,-81,0,0,0,0,-8,-4,0,-48,-12,0,16,
6,6,16,4,0,-2,-2,-2,0,0,0,17,-1,-1,0,1,0,0,0,3,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,-1,0,0,0,0,0,1,0,0,0,0,0,-1,1,517188672,103488,-448,-192,192,0,
-19656,-1836,-396,594,24,132,-54,-126,-30,-18,0,0,0,0,-28,8,-16,56,-16,12,2,0,
0,12,2,6,-6,6,0,0,0,0,0,0,0,9,-18,0,0,-3,6,0,0,0,2,-2,0,0,0,0,0,0,0,0,0,0,0,
-1,-1,-1,-1,-1,1,2,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0],
[TENSOR,[158,2]],[178514751987,-2814669,124659,0,0,0,0,0,243,-405,99,162,0,0,
0,0,0,0,0,0,0,0,0,-9,-9,-9,-9,3,0,0,0,0,0,0,6,-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
3,3,0,0,0,1,-1,0,0,0,0,0,0,0,0,-2,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,227988189,120285,-8019,-243,-243,-27,0,0,0,0,0,0,0,0,0,0,
0,-15,9,9,-36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,9,-3,-1,0,0,0,0,0,0,0,0,0,0,6,2,
0,0,0,0,0,0,0,0,3,1,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,-1,0,0,0,0,-1,0,0,0],
[TENSOR,[160,2]],[184117100544,2555904,0,-539136,114048,-2592,3240,0,0,512,0,
-56,-384,0,192,0,0,-96,-24,0,0,0,0,-15,-8,0,0,0,0,81,0,0,0,0,4,0,3,0,0,0,-16,
0,0,8,0,0,0,-4,0,0,1,0,-11,-2,-2,0,1,0,0,0,-3,0,0,0,2,0,-3,0,-2,-1,0,0,0,0,0,
0,0,0,0,0,1,0,1,0,0,0,0,0,0,-1,0,0,0,1,0,1,-1,264536064,98304,-4096,0,0,0,
22464,-3456,0,432,-192,-192,-216,0,24,0,0,0,0,0,14,-6,-64,-64,8,0,8,0,0,0,8,0,
0,0,0,0,0,-5,3,0,0,9,-18,0,0,-3,6,0,0,0,4,0,-3,1,0,0,0,0,0,0,-1,0,0,-1,3,2,0,
0,-1,2,-1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,-1],
[TENSOR,[162,2]],[190685695200,114400,-92960,978900,49830,420,1068,-624,480,
-160,96,0,-2780,280,190,148,-170,-80,28,-44,-20,4,16,35,0,0,0,0,-12,-75,-3,
-12,33,-3,0,0,0,-36,30,12,20,-12,0,2,-6,0,0,2,0,0,-1,0,0,0,0,0,0,-11,1,4,1,1,
1,1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,-3,0,-1,0,0,0,-1,0,0,0,
536764800,-77440,-3200,-640,128,0,1560,-2274,110,210,-40,-58,-60,-70,14,20,8,
0,0,0,0,0,40,-8,-14,2,4,8,8,-10,-8,8,8,2,0,-4,0,5,1,0,-6,3,3,2,3,-1,-1,2,-1,
-3,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,1,2,-1,0,-1,1,0,0,0,0,0,0,0,0,0,
-1],
[TENSOR,[164,2]],[197813862400,0,0,716800,-112640,-8960,1408,-896,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-104,40,-32,58,-14,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-2,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,-1,0,0,0,
0,0,0,0,0,-E(13)+2*E(13)^2-E(13)^3-E(13)^4+2*E(13)^5+2*E(13)^6+2*E(13)^7
 +2*E(13)^8-E(13)^9-E(13)^10+2*E(13)^11-E(13)^12,2*E(13)-E(13)^2+2*E(13)^3
 +2*E(13)^4-E(13)^5-E(13)^6-E(13)^7-E(13)^8+2*E(13)^9+2*E(13)^10-E(13)^11
 +2*E(13)^12,1,0,0,0,0,504627200,0,0,0,0,0,-17920,-4096,0,-640,0,0,224,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,8,8,8,0,-10,0,0,0,0,2,0,0,0,0,
0,0,0,0,2*E(13)+2*E(13)^3+2*E(13)^4+2*E(13)^9+2*E(13)^10+2*E(13)^12,
2*E(13)^2+2*E(13)^5+2*E(13)^6+2*E(13)^7+2*E(13)^8+2*E(13)^11,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,1,1,-1,0,0,0,0,-E(13)-E(13)^3-E(13)^4-E(13)^9-E(13)^10
 -E(13)^12,-E(13)^2-E(13)^5-E(13)^6-E(13)^7-E(13)^8-E(13)^11,0],
[TENSOR,[166,2]],
[GALOIS,[166,2]],
[TENSOR,[168,2]],[400439959920,240240,-23184,-1482390,-256212,-29736,-2520,
-1638,368,-112,48,70,1722,0,156,42,396,48,48,0,-24,24,-6,0,0,16,0,0,126,-54,
90,-36,0,0,-10,6,0,-46,44,2,-22,8,8,-4,-12,2,0,-4,0,0,0,0,10,-2,4,0,0,-6,-6,6,
-6,0,0,0,-2,-2,0,0,0,0,0,0,-2,-2,-2,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,0,0,0,0,0,1,
-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0],[410707651200,246400,-112000,-1520400,-188760,10500,
-4080,-336,-1920,0,128,0,-560,140,808,368,-472,124,-56,32,20,8,-16,0,0,0,0,0,
132,60,-120,-30,6,6,0,0,0,96,24,0,0,-12,-12,0,8,0,-4,0,-4,2,0,0,0,0,0,0,0,8,
-8,-4,4,2,-2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0],[205940550816,562848,54432,-610740,-119394,4536,-2754,0,
672,-160,32,-134,-372,-756,-426,-180,270,-156,6,54,0,-18,0,-21,0,0,0,0,0,81,
81,0,0,0,-2,2,0,12,6,12,20,0,-6,2,2,0,-4,2,2,0,-1,0,10,1,1,0,0,9,-3,0,-3,0,0,
0,0,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-2,-1,0,0,-1,-3,0,-1,0,0,0,-1,0,1,0,
193235328,-54912,512,0,384,0,-2808,-3618,-594,594,168,6,-216,-54,6,0,0,0,0,0,
-22,-2,80,8,26,-30,-28,0,0,6,8,0,0,-6,0,0,0,-1,3,0,0,9,9,0,0,-3,-3,0,0,0,12,0,
0,0,0,0,0,0,0,0,1,0,0,2,-2,-1,1,1,0,-1,-1,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,1],
[TENSOR,[172,2]],[222758961152,-5111808,0,-173056,-110848,29120,1904,-832,0,0,
0,-48,768,0,-384,0,0,192,48,0,0,0,0,-14,0,0,0,0,-40,50,32,41,-4,-4,-8,0,2,0,0,
0,0,0,0,0,0,0,0,0,0,0,-2,0,-6,-3,0,0,1,0,0,0,6,0,0,0,0,0,-2,1,0,2,0,0,0,0,0,0,
0,0,-1,-1,0,0,-2,0,-1,-1,1,0,0,0,0,0,0,-2,0,0,0,97976320,-65536,0,0,0,0,
-11648,-1280,-1024,1312,128,128,16,128,-16,-16,8,0,0,0,20,4,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-6,-2,0,16,-2,-20,8,-2,2,-4,-1,2,-2,0,0,2,2,0,0,0,0,0,0,0,0,0,2,
-2,2,-2,1,-1,0,0,0,0,0,0,1,0,0,1,0,-1,-1,-1,0,0,0],
[TENSOR,[174,2]],[225247477455,1336335,7119,-626535,126522,-3969,-1053,0,207,
7,-65,-70,1113,315,402,153,234,-93,51,-9,-9,-9,0,0,0,3,3,-1,0,-81,0,0,0,0,10,
-6,0,9,18,9,-23,-9,9,-2,-2,0,-5,1,1,0,0,0,-10,2,-4,1,0,0,0,0,3,0,0,0,2,2,0,0,
0,0,0,0,-3,-3,0,0,-1,0,0,0,0,0,-2,0,0,0,0,0,0,1,0,0,0,0,0,-1,2,264188925,
146685,-5075,-435,141,21,12285,-2862,-990,1755,-195,-6,-27,-45,-33,9,0,25,1,
-15,0,0,-35,-35,-26,6,1,-3,-3,-6,1,-3,-3,3,3,3,0,0,0,-1,0,-9,18,0,0,3,-6,0,0,
0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[TENSOR,[176,2]],[250274974950,-2252250,-54810,-511875,381150,6930,-846,819,
230,350,-42,0,2205,-630,198,-3,-18,-54,-18,18,-78,6,3,0,0,10,-6,6,-63,-135,
-45,18,0,0,0,0,0,77,14,-19,5,14,-4,-10,-6,-1,6,2,0,0,0,0,0,0,0,0,0,3,3,-3,-3,
0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,
176125950,-770,-2450,270,-178,182,-4095,-1908,220,360,-95,148,-126,40,-32,22,
7,10,-14,2,0,0,25,49,-20,-16,16,9,-7,-4,4,0,0,-4,2,-4,-1,0,0,0,9,-9,9,-11,0,
-5,1,-2,4,0,0,0,0,0,1,1,-2,2,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0],
[TENSOR,[178,2]],[282049015248,-432432,-93744,132678,-304722,-20412,1458,0,
336,336,-112,273,1134,756,-378,-90,-162,-108,-54,-54,36,18,0,0,0,0,0,0,0,0,0,
0,0,0,-7,1,0,-6,-42,18,6,12,-6,-6,2,0,-4,0,2,0,0,0,3,3,3,0,0,0,0,0,0,0,0,0,1,
1,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,529296768,
-88704,-4032,576,0,0,0,-5346,-594,-486,-144,-90,0,-54,18,0,0,16,-16,0,-7,1,
-36,0,18,18,18,-12,12,6,0,0,-6,-6,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-7,1,0,0,2,
-2,2,0,0,0,0,0,0,5,1,-1,1,1,0,0,0,0,0,1,0,0,-1,-1,0,-1,0,0,0,0,0,0],
[TENSOR,[180,2]],[336033532800,-873600,-13440,-378000,-23220,-3780,-378,-756,
-640,0,-128,0,-1680,420,-420,-144,-84,84,66,42,12,-18,12,0,0,0,0,0,27,0,54,27,
0,0,0,0,-2,-16,-28,-16,0,-4,2,0,4,-4,4,0,-2,4,0,0,0,0,0,0,0,6,6,3,0,0,0,0,0,0,
0,0,0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,2,-1,0,1,1,-2,0,0,0,0,472953600,
-134400,0,0,-256,0,-15120,-7020,-780,1080,240,-156,-54,120,24,-6,0,0,0,0,0,0,
0,0,0,-4,0,0,-16,-4,0,0,0,8,0,2,0,0,0,0,27,0,0,3,0,0,0,3,0,0,0,0,-2,-2,0,0,0,
0,2,2,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,1,0,-1,-1,0],
[TENSOR,[182,2]]],
[(159,160),( 91, 92)(156,157)(181,182),( 85, 86)(178,179),( 71, 72)
(174,175)]);
ARC("F3+.2","CAS",[rec(name:="f24",
permchars:=( 27, 31, 30, 29, 28)( 70, 71)( 74, 84, 83, 82, 81, 80, 79, 78, 75,
 76, 77)( 85, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86)(110,126,123,120,118,116,
 114,113,112,111)(115,133,131,127,124,121,119,117)(122,148,145,142,139,136,
 134,132,128,125)(135,175,170,182,180,177,172,167,166,165,162,159,156,154,150,
 147,144,141,138,176,171,183,181,178,173,168,163,160,157,179,174,169,164,161,
 158,155,153,149,146,143,140,137),
permclasses:=( 16, 17)( 19, 20)( 29, 30)( 40, 42, 41)( 43, 44)( 46, 49, 48, 47
 )( 58, 59)( 60, 61)( 62, 64, 63)( 75, 77, 76)( 89, 90)(130,131)(132,133)
(143,144)(156,157)(161,162)(163,164)(167,168)(181,182),
text:=[
"names:=   f24\n",
"   order:   2,510,411,4188,381,323,442,585,600\n",
"            = 2^22.3^16.5^2.7^3.11.13.17.23.29\n",
"   number of classes: 183\n",
"   source:  rationalized table from mc kay\n",
"            blown up, i.e. finding irrationalities\n",
"            using cas-system, aachen [1981]\n",
"   comment: extension of f24c with an\n",
"            outer automorphism of order 2\n",
""])]);
ARC("F3+.2","maxes",["F3+","2xFi23","2^2.Fi22.2","S3xO8+(3):S3","O10-(2).2",
"3^7.O7(3):2","3^(1+10):(2xU5(2):2)","2^12.M24","2^2.U6(2):S3x2",
"2^(1+12)_+.3_1.U4(3).2^2_{122}","3^3.[3^10].(L3(3)x2^2)",
"3^2.3^4.3^8.(S5x2S4)","S4xO8+(2):S3","2^(3+12).(L3(2)xS6)","2^(7+8).(S3xA8)",
"(S3xS3xG2(3)):2","S5xS9","S6xL2(8):3","7:6xS7","7^(1+2)_+:(6xS3).2",
"frob"]);
ALN("F3+.2",["fi24","fi24'.2","f24"]);

MOT("Fi23",
[
"origin: ATLAS of finite groups, tests: 1.o.r."
],
[4089470473293004800,129123503308800,73574645760,318504960,13756055040,
1632586752,37791360,944784,5806080,331776,92160,36864,25200,39191040,5038848,
622080,373248,279936,248832,155520,62208,41472,34992,15552,10368,5184,3888,
1296,840,384,384,384,17496,5832,5832,1458,162,1200,240,240,44,8640,3456,3456,
2592,2592,1152,1152,864,576,432,288,288,216,144,72,78,78,84,56,360,90,32,32,
17,648,324,216,216,216,216,54,54,120,40,42,44,44,44,23,23,48,48,48,26,26,27,
28,120,60,30,35,36,36,39,39,42,60],
[,[1,1,1,1,5,6,7,8,3,4,3,4,13,5,6,5,6,7,6,7,6,5,8,7,7,7,8,8,29,10,10,12,33,34,
35,36,37,13,13,13,41,16,19,22,17,21,19,22,25,16,24,21,25,28,24,28,58,57,29,29,
61,62,32,32,65,35,34,35,33,34,35,36,37,39,39,76,41,41,41,80,81,44,47,48,58,57,
87,60,61,61,62,92,69,70,96,95,76,89],[1,2,3,4,1,1,1,1,9,10,11,12,13,2,2,3,3,2,
4,4,4,4,2,3,4,4,4,4,29,30,31,32,6,6,6,6,8,38,39,40,41,9,10,10,9,10,12,10,10,
11,9,12,12,10,11,12,57,58,59,60,13,13,63,64,65,15,15,21,21,17,17,21,23,74,75,
29,77,78,79,80,81,31,32,30,85,86,33,88,39,38,40,92,46,45,57,58,59,74],,[1,2,3,
4,5,6,7,8,9,10,11,12,1,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,36,37,2,3,4,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,57,
59,60,5,7,64,63,65,66,67,68,69,70,71,72,73,9,11,76,77,78,79,81,80,82,83,84,86,
85,87,88,16,14,20,29,93,94,96,95,97,42],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,1,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,57,2,3,61,62,64,63,65,66,67,
68,69,70,71,72,73,74,75,5,77,79,78,81,80,82,83,84,86,85,87,9,89,90,91,13,93,
94,96,95,14,98],,,,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,1,42,43,44,45,46,47,48,
49,50,51,52,53,54,55,56,58,57,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,3,2,2,81,80,82,83,84,86,85,87,88,89,90,91,92,93,94,96,95,97,98],,[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,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,1,
1,59,60,61,62,64,63,65,66,67,68,69,70,71,72,73,74,75,76,77,79,78,80,81,82,83,
84,2,2,87,88,89,90,91,92,93,94,5,5,97,98],,,,[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,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,1,
66,67,68,69,70,71,72,73,74,75,76,77,79,78,81,80,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,96,97,98],,,,,,[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,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,63,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,1,1,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,
98]],
[[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[782,78,78,14,-1,53,26,-1,6,14,6,
-2,7,15,-3,15,-3,6,5,14,5,-1,-3,6,2,2,5,-1,5,2,2,2,-1,8,-1,-1,2,3,3,-1,1,3,5,
-1,-3,5,1,-1,2,3,0,1,-2,-1,0,1,2,2,1,1,4,1,0,0,0,3,0,-1,-1,0,3,-1,0,1,1,-1,1,
1,1,0,0,-1,-1,-1,0,0,-1,-1,0,0,-1,0,-1,0,-1,-1,1,-2],[3588,-572,196,4,78,-57,
51,-3,-28,20,4,4,13,-50,-5,-2,7,13,7,-11,-5,-2,-5,7,-5,1,7,1,4,0,0,4,-3,-3,6,
-3,3,3,1,-1,2,-10,-1,2,-1,-7,-5,2,-1,-2,-1,1,1,-1,1,1,0,0,2,0,-2,1,0,0,1,-2,1,
-2,1,1,-2,1,1,-3,-1,1,-2,0,0,0,0,0,1,0,0,0,0,0,-2,0,-1,-1,-1,-1,0,0,-1,0],[
5083,923,155,-37,169,-20,34,7,27,11,-5,-5,8,41,32,-7,20,-4,-4,-4,8,-7,5,2,2,
-4,5,-1,1,-1,-1,3,7,-2,7,-2,1,-2,0,-2,1,9,-4,5,0,2,4,5,2,1,0,-2,4,-1,-2,1,0,0,
-1,1,-1,-1,-1,-1,0,-1,2,-1,-1,2,-1,2,-1,2,0,1,1,-1,-1,0,0,-1,0,-1,0,0,1,-1,3,
1,1,1,-1,0,0,0,-1,-1],[25806,-2354,462,-50,183,291,75,21,-42,30,-10,-2,6,-41,
-5,39,3,-23,-29,25,-5,7,-5,3,-5,1,7,1,4,-2,-2,2,-6,12,3,3,0,-4,2,0,0,-9,3,3,3,
3,-5,3,3,-1,-3,-5,1,3,-1,1,1,1,-2,0,3,0,0,0,0,1,-2,1,-2,0,3,1,-2,-2,0,1,0,0,0,
0,0,1,-1,1,-1,-1,0,0,-1,-1,0,-1,0,0,1,1,1,1],[30888,3432,616,168,351,270,108,
27,56,24,24,8,13,111,30,31,22,30,30,30,6,15,3,4,12,6,3,3,4,4,4,0,0,9,9,0,0,7,
1,3,0,11,6,3,2,6,2,3,0,3,2,2,2,3,0,-1,0,0,2,0,1,-2,0,0,-1,3,3,3,0,1,1,0,0,1,
-1,1,0,0,0,-1,-1,1,0,1,0,0,0,0,1,1,0,-1,0,-1,0,0,-1,1],[60996,1924,1156,68,
-78,-240,165,3,36,52,4,4,21,34,-20,-14,-32,7,-16,-25,-4,2,7,13,5,-1,11,-1,5,0,
0,4,3,-6,-6,3,3,-1,1,3,1,6,-8,-2,0,-2,4,-2,1,-2,3,-2,-5,1,1,1,0,0,-1,1,-3,0,0,
0,0,-2,-2,2,-1,-2,-2,-1,1,1,-1,-1,1,-1,-1,0,0,0,-2,0,0,0,0,1,1,-1,0,0,1,0,0,0,
-1,1],[106743,10647,791,247,1092,309,12,39,91,15,11,7,-7,0,117,8,-19,18,37,10,
13,28,9,8,4,-2,1,7,0,3,-1,-1,12,3,3,3,0,-3,1,-3,-1,-2,-3,12,1,-3,1,0,0,2,4,1,
-2,3,2,1,0,0,0,0,2,2,-1,-1,0,-3,3,1,4,-1,-1,1,0,1,1,0,-1,-1,-1,0,0,2,-1,0,0,0,
0,0,-2,0,0,0,0,1,0,0,0,-2],[111826,-11726,946,-46,1261,289,46,46,-106,10,6,
-14,1,-71,-143,1,1,-26,-31,14,17,5,-8,10,-10,2,-4,2,1,-2,2,-2,19,1,10,1,1,-1,
1,-1,0,-1,1,13,-7,1,1,1,-2,3,-4,1,-2,4,0,-2,0,0,-1,1,1,1,0,0,0,-2,-5,2,-1,1,
-2,-1,1,-1,1,1,0,0,0,0,0,-1,1,1,0,0,1,-1,1,-1,-1,1,1,-1,0,0,-1,-1],[274482,
-78,2738,306,-351,1107,216,-27,-6,66,26,2,7,-15,3,65,11,-6,3,66,27,-15,3,20,0,
6,3,-3,5,2,2,-2,0,18,-9,0,0,-3,3,1,-1,-3,3,-3,3,3,-1,-3,0,5,0,-1,2,-3,2,-1,0,
0,-1,1,4,1,0,0,0,-3,0,-3,0,2,-1,0,0,-1,1,-1,-1,-1,-1,0,0,-1,1,-1,0,0,0,1,0,0,
1,0,0,0,0,0,-1,2],[279565,5005,2189,-243,-182,1087,250,-20,21,61,-11,-3,15,
154,-17,74,-25,28,15,60,-9,-6,10,2,-6,-12,6,0,6,-3,-3,1,7,16,-2,-2,1,5,-1,-3,
0,6,7,-2,3,7,3,-2,-2,-2,0,3,0,-2,-2,0,0,0,0,-2,3,0,-1,-1,0,4,-2,0,3,-4,2,0,1,
1,-1,0,0,0,0,0,0,0,1,0,0,0,1,0,-1,-1,0,1,1,0,0,0,0,1],[752675,-48125,1155,35,
3290,-382,-85,50,-105,11,-25,19,0,70,-254,30,-6,-11,50,5,26,2,16,3,11,5,-4,
-10,0,3,-1,3,23,-4,-4,5,-1,0,0,0,0,0,2,14,-6,2,-2,2,-1,-4,-3,-2,1,-4,-1,-2,1,
1,0,0,0,0,-1,-1,0,-2,-2,2,-1,0,0,-1,1,0,0,0,0,0,0,0,0,2,0,0,1,1,-1,0,0,0,0,0,
-1,0,1,1,0,0],[789360,-34320,5104,-144,1014,-876,474,-39,-176,80,16,-16,35,
-426,24,-26,28,42,36,-54,0,6,-3,10,-6,-6,9,-3,5,0,0,0,-12,-3,6,6,0,5,-1,1,0,
-26,-4,2,4,-10,-4,2,2,-2,-2,2,2,-1,-2,-1,0,0,1,1,-1,-1,0,0,-1,0,3,0,0,1,-2,0,
0,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,1,0,2,1,0,0,1,-1],[812889,44121,4697,
345,2079,-675,297,-27,217,57,25,-7,14,399,57,-1,53,-15,-51,-15,-15,15,3,17,9,
9,3,-3,0,1,1,1,0,-9,18,0,0,-4,2,0,0,19,-3,3,1,3,5,3,-3,-5,1,-1,5,-3,1,-1,-1,
-1,0,0,-1,2,1,1,0,0,-3,0,0,-1,2,0,0,2,0,0,0,0,0,0,0,1,1,1,-1,-1,0,0,-1,-1,0,0,
0,1,-1,-1,0,-1],[837200,-36400,-560,80,1820,308,-70,-43,0,16,0,-16,0,140,-112,
-20,-20,14,-28,-10,8,-4,23,-2,2,2,-1,5,0,0,0,0,11,2,-7,-7,-1,0,0,0,1,0,4,4,0,
-2,-4,4,-2,0,0,2,2,1,0,-1,0,0,0,0,0,0,2*E(8)+2*E(8)^3,-2*E(8)-2*E(8)^3,1,-1,2,
-1,-1,-2,1,-1,-1,0,0,0,1,-1,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0],
[GALOIS,[15,5]],[850850,50050,770,-350,3185,107,-55,26,70,-6,-10,2,0,-35,235,
5,-13,19,-5,-5,19,-23,-8,5,1,7,4,-2,0,-2,2,-2,26,-1,-1,-1,-1,0,0,0,0,-5,3,9,7,
3,-1,-3,-3,-1,1,-1,-1,0,-1,2,0,0,0,0,0,0,0,0,0,1,1,1,-2,-1,-1,1,1,0,0,0,0,0,0,
E(23)+E(23)^2+E(23)^3+E(23)^4+E(23)^6+E(23)^8+E(23)^9+E(23)^12+E(23)^13
 +E(23)^16+E(23)^18,E(23)^5+E(23)^7+E(23)^10+E(23)^11+E(23)^14+E(23)^15
 +E(23)^17+E(23)^19+E(23)^20+E(23)^21+E(23)^22,-1,1,1,0,0,-1,0,0,0,0,0,0,1,0,
0,0,0],
[GALOIS,[17,5]],[1677390,-84370,4334,-178,4173,-39,285,-39,-174,-10,34,14,15,
-391,-211,-31,41,23,-7,-25,29,5,5,5,-19,-1,-7,5,1,-2,2,2,15,6,15,-3,-3,5,-1,
-3,0,-9,-7,5,-3,-1,5,-7,5,-5,3,-1,-1,-1,1,-1,0,0,1,1,3,0,0,0,0,-1,2,-1,-1,2,
-1,-1,-1,1,-1,1,0,0,0,0,0,-1,-1,1,0,0,0,1,-1,-1,0,1,-1,0,0,0,1,1],[1951872,
-11648,8832,128,-1092,-1848,636,42,0,128,0,0,22,-308,16,12,-24,16,8,-64,-16,
-4,16,12,-4,8,8,2,6,0,0,0,15,-12,-12,-3,0,2,2,-2,-1,0,8,-4,0,-16,0,-4,-4,0,0,
0,0,2,0,0,0,0,0,-2,-2,1,0,0,0,-2,-2,2,-1,0,0,-1,-2,0,0,0,-1,1,1,0,0,0,0,0,0,0,
0,0,2,2,1,1,-1,0,0,0,0,0],[2236520,85800,4136,-920,3107,1406,272,29,120,24,
-40,8,20,435,102,-13,86,66,46,10,-2,-29,21,-4,-8,-2,1,1,-1,-4,-4,0,2,2,11,11,
2,0,-4,0,0,15,6,3,-6,6,2,3,0,-1,0,2,2,3,2,-1,0,0,1,-1,2,2,0,0,0,-3,0,1,-2,2,
-1,1,0,0,0,-1,0,0,0,0,0,-1,0,-1,0,0,-1,1,2,0,0,-1,0,0,0,0,1,0],[2322540,
-74580,7084,108,1728,2133,270,-54,-196,60,-36,12,15,-384,21,64,37,-60,-75,60,
-27,0,-6,10,6,0,6,6,-4,0,0,4,0,9,9,0,0,-5,-1,3,0,-16,-3,0,-7,-3,-3,0,-6,0,2,
-3,0,0,0,0,-1,-1,-2,0,3,0,0,0,0,3,3,3,0,1,1,0,0,-1,-1,-1,0,0,0,0,0,0,1,0,1,1,
0,0,-1,1,0,1,0,-1,-1,-1,1,-1],[3913910,70070,10934,-586,-91,-820,719,-10,126,
102,-34,6,35,581,-76,-91,-28,-31,-4,-31,44,5,-22,-1,-1,-7,14,2,0,-2,-2,2,-10,
-10,-1,-1,-1,-5,-1,-1,0,21,-12,-3,0,12,0,-3,3,5,-3,0,-3,0,-1,0,0,0,0,0,-1,-1,
0,0,0,-1,2,-1,2,2,-1,-1,-1,1,1,0,0,0,0,0,0,1,2,1,0,0,-1,0,-1,1,-1,0,0,0,0,0,0,
1],[5533110,115830,14454,1206,729,2187,729,0,174,54,46,6,35,729,-81,9,-45,81,
27,81,-9,9,0,9,9,9,0,0,-5,2,2,2,0,0,0,0,0,5,-1,1,0,9,3,-3,3,9,3,-3,-3,1,-3,-3,
-3,0,1,0,-2,-2,1,-1,-1,-1,0,0,1,0,0,0,0,0,0,0,0,-1,1,1,0,0,0,0,0,-1,-1,-1,0,0,
0,-1,-1,-1,1,0,0,0,1,1,1,-1],[6709560,-108680,6776,-712,897,4218,330,6,-56,72,
-24,24,-15,-239,22,161,26,-68,-70,20,-10,17,22,-10,2,8,2,2,4,-4,-4,0,6,15,6,
-3,-3,-5,1,3,0,-11,-6,-3,-2,0,6,-3,6,-3,-2,0,0,0,0,0,0,0,2,0,-3,0,0,0,0,-2,1,
2,2,-1,2,-1,1,-1,1,1,0,0,0,0,0,-1,0,-1,0,0,0,0,1,1,0,-1,0,1,0,0,-1,-1],[
7468032,146432,11264,1024,1560,3072,696,-60,64,0,64,0,7,776,-16,104,32,56,64,
64,16,-8,-16,-4,16,4,-8,4,5,0,0,0,-6,3,3,3,-3,7,-1,-1,0,4,0,0,-8,0,0,0,0,4,-2,
0,0,0,-2,0,0,0,-1,1,-5,1,0,0,0,5,-1,1,-2,-1,-1,1,-1,-1,-1,-1,0,0,0,1,1,0,0,0,
0,0,0,1,-1,1,-1,0,0,1,0,0,-1,-1],[8783424,326976,11584,576,11934,432,-216,-54,
496,0,-16,0,-1,6,384,-26,-80,-48,48,-24,0,30,6,28,0,-12,-6,6,-1,0,0,0,0,9,9,0,
0,1,-1,1,1,-14,0,18,-8,0,0,-6,0,2,-2,0,0,0,2,0,0,0,-1,-1,-1,-1,0,0,0,-3,-3,-3,
0,1,1,0,0,1,-1,-1,1,1,1,0,0,0,0,0,0,0,0,-1,-1,1,1,-1,0,1,0,0,-1,1],[9108736,
256256,-1792,-768,8008,-848,16,70,0,0,0,0,-14,-280,296,8,-64,8,-48,24,24,-24,
26,8,0,0,6,-6,0,0,0,0,16,-2,-2,-2,1,6,-2,2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-2,1,0,0,0,-4,2,0,0,2,2,0,-1,0,0,0,1,E(11)-E(11)^2+E(11)^3+E(11)^4
 +E(11)^5-E(11)^6-E(11)^7-E(11)^8+E(11)^9-E(11)^10,-E(11)+E(11)^2-E(11)^3
 -E(11)^4-E(11)^5+E(11)^6+E(11)^7+E(11)^8-E(11)^9+E(11)^10,0,0,0,0,0,0,0,1,0,
-2,0,-1,0,0,0,0,0,0,0],
[GALOIS,[28,2]],[10567557,-3003,16709,-123,-2457,6534,783,54,21,117,-11,-27,7,
-105,-6,167,-58,-15,6,105,-6,-9,-6,-13,-9,-3,6,-6,0,1,1,-3,0,18,-9,0,0,-3,-1,
-3,0,3,6,3,-6,0,-6,3,3,-5,3,0,-3,0,1,0,0,0,0,0,-2,-2,1,1,0,-3,0,-3,0,2,-1,0,0,
1,-1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,-2],[10674300,336700,5180,
-900,10920,-1176,255,-15,140,44,-20,28,0,280,388,-40,104,-71,-24,-15,36,-24,
-17,-13,-9,-3,3,-3,0,0,0,4,12,3,3,-6,-3,0,0,0,-1,20,8,8,-4,-10,4,8,-1,4,-1,-2,
1,-1,1,1,0,0,0,0,0,0,0,0,0,1,1,-3,0,-1,-1,0,1,0,0,0,-1,1,1,0,0,0,-2,0,0,0,0,0,
0,0,0,0,2,-1,0,0,0,0],[12077208,380952,9240,2712,11934,594,189,27,168,-40,40,
-8,8,414,414,78,114,9,18,9,30,78,9,-3,-3,9,9,3,-4,0,0,0,27,0,0,0,0,2,0,2,0,6,
2,2,6,-4,-2,2,5,-2,-3,4,1,-1,1,1,0,0,-2,0,-1,-1,0,0,0,0,0,0,3,0,0,0,0,-2,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,3,-1,-1,1,-1,0,0,0,1,1],[15096510,-416130,17534,-66,
10179,-351,864,54,-314,30,6,-18,35,-1149,-195,-61,65,-24,33,24,-3,3,-6,-16,0,
0,6,-6,-5,2,2,2,0,-9,18,0,0,-5,-1,-1,0,-29,9,3,1,3,-3,3,0,3,4,3,0,0,0,0,0,0,
-1,-1,-1,-1,0,0,0,0,-3,0,0,-1,2,0,0,1,1,1,0,0,0,0,0,-1,-1,-1,0,0,0,1,-1,1,-1,
0,0,1,0,0,-1,1],[17892160,-594880,13376,-192,19942,-416,-200,16,-496,0,16,0,
-15,-34,-664,-34,-16,56,0,0,24,6,-16,20,0,-12,0,0,-1,0,0,0,16,7,7,-2,1,-5,1,3,
0,14,0,18,8,0,0,-6,0,-2,2,0,0,0,-2,0,0,0,1,-1,-3,0,0,0,0,5,-1,-3,0,-1,-1,0,-1,
-1,1,-1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,-1,0,-1,0,0,1,-1],[18812574,279774,
26334,414,729,-4374,729,0,294,126,-26,-18,-1,729,-162,9,90,-81,-54,-81,-18,9,
0,9,9,-9,0,0,4,2,2,-6,0,0,0,0,0,-1,-1,-1,0,9,-6,-3,6,0,6,-3,-3,1,3,0,3,0,1,0,
1,1,-2,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,0,0,0,0,-1,0,-1,1,1,0,0,-1,-1,
-1,-1,0,0,1,1,1,-1],[20322225,548625,6545,945,15120,621,-675,135,245,57,5,-31,
0,-420,417,20,-43,39,-3,15,9,24,-15,-7,-27,3,-3,3,0,1,-3,1,0,-9,-9,0,0,0,0,0,
0,-10,-3,12,-7,3,5,0,-3,2,5,-1,-1,-3,-1,-1,1,1,0,0,0,0,1,1,0,3,3,3,0,-1,-1,0,
0,0,0,0,0,0,0,0,0,0,1,-2,-1,-1,0,0,0,0,0,0,0,-1,1,1,0,0],[21135114,-294294,
11242,522,2457,-2241,999,-54,70,-30,-10,42,14,-1155,-21,37,-17,141,-33,-51,27,
-15,6,-17,-9,-3,-6,6,0,2,-2,-2,0,9,9,0,0,6,2,2,0,-5,-9,-3,7,-3,3,9,-9,-1,1,-3,
-3,0,-1,0,0,0,0,0,2,-1,0,0,0,-3,-3,-3,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,-1,0,0,0,
0,2,0,-1,0,0,1,0,0,0,0],[21348600,-200200,32760,760,-2730,-3810,1185,24,-280,
152,40,24,0,-490,194,-90,-18,95,-2,-65,-14,-26,-22,9,1,7,-2,4,0,0,0,0,-3,-3,
-12,-3,0,0,0,0,-2,-10,-10,2,-10,8,-6,2,5,-2,-1,0,3,2,1,0,0,0,0,0,0,0,0,0,0,2,
-1,-2,1,-3,0,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0],[
22644765,-624195,13629,-483,16848,2754,-405,81,-399,21,-31,13,15,-36,-414,84,
-6,-63,-78,-15,-6,24,-9,3,27,9,3,-3,-4,1,-3,-3,0,0,0,0,0,5,-1,-3,0,6,-6,12,6,
-6,-2,0,3,2,-3,-2,1,3,-1,1,0,0,2,0,3,0,1,1,0,0,0,0,0,0,0,0,0,1,-1,-1,0,0,0,0,
0,0,0,-2,0,0,0,0,-1,-1,0,1,0,0,0,0,-1,1],[26838240,205920,25696,2784,-2379,
5208,-84,132,216,64,24,0,-35,-279,-144,1,-8,72,24,24,48,-3,18,28,12,0,6,0,-5,
4,-4,0,-3,6,6,6,0,-5,1,-1,0,-9,-8,-11,0,-8,0,1,4,3,0,0,0,-2,0,0,0,0,1,-1,1,1,
0,0,0,0,0,0,-3,-2,-2,0,0,1,-1,1,0,0,0,0,0,-1,0,1,0,0,0,-1,1,1,-1,0,1,0,0,0,1,
1],[28464800,-364000,30240,160,455,4640,320,50,-280,0,40,0,0,-805,176,-45,0,
-112,-32,40,16,-17,14,36,-8,4,-14,-2,0,-4,4,0,-4,5,5,5,-1,0,0,0,1,5,0,-9,8,0,
0,3,0,1,2,0,0,0,-2,0,0,0,0,0,0,0,0,0,0,-7,-1,1,4,-3,-3,1,-1,0,0,0,1,1,1,0,0,1,
0,-1,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0],[29354325,525525,32725,2645,5460,-2505,60,
33,525,37,45,37,0,420,-165,100,55,6,-73,-10,-37,20,-3,28,-4,14,-19,-7,0,-3,-3,
1,-21,-12,-3,-3,0,0,0,0,0,0,7,4,3,1,-5,4,4,0,6,1,-2,1,0,1,0,0,0,0,0,0,-1,-1,0,
3,0,-1,-1,4,1,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[
35225190,-330330,24486,-666,-819,-5193,-9,-9,-434,70,14,-10,-35,861,231,141,
-57,-21,87,-21,-9,-3,-39,15,-9,3,-3,3,0,2,2,2,-9,-9,0,0,0,-5,1,-1,0,1,7,1,7,7,
-1,1,-5,-7,-5,-1,-1,1,-1,-1,0,0,0,0,1,1,0,0,0,0,3,0,3,3,0,0,0,1,-1,0,0,0,0,0,
0,-1,-1,-1,0,0,0,0,1,1,-1,0,1,1,0,0,0,1],[37573536,544544,-7392,3488,8463,
3792,336,120,-280,0,40,0,-14,35,224,123,-48,8,80,-64,32,23,8,-12,8,-4,8,8,0,
-4,4,0,12,3,3,3,0,-6,-2,-2,0,5,0,-9,8,0,0,3,0,1,2,0,0,0,-2,0,0,0,0,0,-2,1,0,0,
0,-1,-1,-1,-4,3,3,-1,2,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,-2,0,1,0,0,-1,0,0,0,0],[
40840800,-800800,-12320,1120,17745,-696,60,168,280,64,-40,0,0,245,-520,-35,-8,
-16,40,40,40,-23,-34,-8,4,4,-14,4,0,-4,4,0,33,-3,-3,-3,3,0,0,0,0,-5,-8,-11,-8,
-8,0,1,4,-1,-2,0,0,-2,2,0,0,0,0,0,0,0,0,0,0,5,-1,1,1,1,1,1,-1,0,0,0,0,0,0,-1,
-1,1,0,-1,0,0,0,0,0,0,0,0,1,1,0,0,0,0],[42270228,948948,22484,-492,19656,
-2295,621,54,308,-60,20,-12,28,1176,357,56,-7,-3,-87,21,21,-24,6,-7,21,-15,-6,
-6,0,0,0,-4,0,-9,18,0,0,-2,4,-2,0,-4,-15,0,-7,3,-3,0,-3,-4,-1,3,-3,0,-1,0,0,0,
0,0,1,1,0,0,0,0,3,0,0,-1,2,0,0,-2,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,1,1,0,0,-1,0,
0,0,1],[48034350,-887250,35630,-210,12285,-5292,540,-27,-490,30,-10,-2,0,
-1155,24,125,44,42,132,-30,-48,-3,-3,8,-12,6,-3,-3,0,-2,-2,-6,0,-9,18,0,0,0,0,
0,1,5,12,-3,-4,-6,4,-3,0,5,-4,-2,-2,-3,2,1,0,0,0,0,0,0,0,0,0,0,3,0,0,-1,2,0,0,
0,0,0,1,-1,-1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0],[48308832,-947232,-1056,
96,19305,2376,756,108,216,-64,24,0,7,-531,-504,69,24,-72,-24,-24,24,-15,-18,
-12,-12,0,-6,0,5,4,-4,0,27,0,0,0,0,-7,-1,1,0,-9,8,-7,0,8,0,5,-4,3,0,0,0,2,0,0,
0,0,1,1,-5,1,0,0,0,0,0,0,3,0,0,0,0,1,-1,-1,0,0,0,0,0,-1,0,1,0,0,0,-1,-1,-1,1,
0,-1,0,0,0,1,1],[55740960,-205920,30624,1056,-4941,-1296,-1296,162,-216,0,-24,
0,35,279,144,159,-48,-72,48,-24,48,-21,-18,24,0,0,-6,6,-5,4,-4,0,0,0,0,0,0,5,
-1,1,0,9,0,-9,0,0,0,3,0,-3,0,0,0,0,0,0,2,2,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
-1,1,1,0,0,0,0,0,-1,0,1,0,0,0,1,-1,-1,1,0,0,0,-1,-1,-1,-1],[56360304,624624,
33264,368,1638,10062,180,-144,336,80,16,-16,-21,294,-210,54,54,42,158,50,-10,
-10,-48,0,-4,-10,-4,-4,0,0,0,0,-9,0,0,-9,0,-1,-1,3,0,6,-10,2,-6,-10,2,2,-4,-2,
0,2,2,2,-2,2,0,0,0,0,3,0,0,0,0,-6,0,2,-1,0,0,-1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,-1,0,0,-1,0,0,0,0,1],[56360304,624624,33264,368,1638,-7434,990,-63,336,
80,16,-16,-21,294,-210,54,-162,-120,-58,-40,-10,-10,33,-18,14,8,5,5,0,0,0,0,
-9,0,9,0,0,-1,-1,3,0,6,14,2,-6,-10,2,2,2,-2,0,2,-4,-1,-2,-1,0,0,0,0,3,0,0,0,0,
3,0,-1,-1,0,-3,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,-1,0,0,0,0,1],[
57254912,146432,11264,-3072,-3016,8000,872,224,-64,0,-64,0,-13,776,-16,104,32,
56,0,0,-48,24,-16,-4,0,-12,0,0,1,0,0,0,8,-1,-1,8,-1,7,-1,3,0,-4,0,0,8,0,0,0,0,
-4,2,0,0,0,2,0,0,0,-1,1,-1,2,0,0,0,5,-1,-3,0,-1,-1,0,-1,1,1,1,0,0,0,0,0,0,0,0,
0,0,-1,-1,-1,1,0,1,0,-1,0,0,-1,1],[58708650,250250,3850,4010,-1365,3009,660,
174,-210,-30,30,42,0,455,41,-65,97,-76,65,20,41,-13,14,-20,20,-4,2,2,0,-2,2,
-2,-42,-6,-15,3,3,0,0,0,0,-15,9,15,-3,-3,9,3,0,-3,0,-3,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,2,-1,2,-2,1,-1,-1,0,0,0,0,0,0,0,0,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[
58708650,-550550,40810,-1110,-1365,9570,660,-69,-350,74,-30,26,0,-245,250,-5,
-14,-38,-126,90,42,27,7,4,-12,-6,-9,3,0,-2,-2,-2,-15,-15,-6,-6,3,0,0,0,0,-5,2,
-1,10,2,2,-1,-4,3,-2,2,2,-1,0,-1,0,0,0,0,0,0,0,0,0,4,1,0,-3,1,-2,0,1,0,0,0,0,
0,0,0,0,1,-2,1,0,0,0,0,0,0,0,0,-1,1,0,0,0,0],[65875680,1029600,-8736,-3360,
16848,3240,-162,81,0,96,0,32,-20,-720,252,48,-96,90,24,-30,-12,-48,9,-6,6,6,
-3,-3,-4,0,0,0,0,0,0,0,0,0,4,0,2,0,0,0,0,6,8,0,6,0,0,2,2,3,0,-1,0,0,-2,0,-2,
-2,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-2,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,1,0,0,0,0,1,
0],[73531392,1441792,0,0,29184,1536,-192,24,0,0,0,0,-8,-512,640,0,0,64,0,0,0,
0,-8,0,0,0,0,0,4,0,0,0,24,-12,-12,6,0,-8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,-1,2,0,4,-2,0,0,0,4,-2,0,0,0,0,0,-2,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,-2,0,
-1,0,0,-1,-1,-1,0],[73531392,-1441792,0,0,29184,1536,-192,24,0,0,0,0,-8,512,
-640,0,0,-64,0,0,0,0,8,0,0,0,0,0,4,0,0,0,24,-12,-12,6,0,8,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,-1,-2,0,4,-2,0,0,0,-4,2,0,0,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,
-1,-1,0,0,0,2,0,-1,0,0,-1,-1,1,0],[78278200,1401400,21560,-4040,22750,2554,
745,151,280,-40,-40,-40,0,910,262,-130,122,19,58,-5,-26,-50,19,5,1,7,-5,7,0,0,
0,0,-11,7,7,-2,1,0,0,0,0,10,2,2,10,-4,-10,2,5,2,1,-4,-1,-1,-1,-1,0,0,0,0,0,0,
0,0,0,1,1,1,1,-1,-1,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,1,0,0,0,0],[
93933840,-1521520,16016,1296,22386,-726,-24,111,-336,48,-16,16,-35,434,-178,
-94,-22,-34,42,6,-18,-30,11,-4,0,-6,15,3,0,0,0,0,-24,-6,3,-6,-3,5,1,1,0,-6,-6,
6,6,12,-2,6,0,2,0,4,-2,-3,2,1,0,0,0,0,1,1,0,0,0,-1,-4,3,0,2,-1,0,-1,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,-1,1,0,0,0,0,0,0,-1],[97976320,0,65536,0,-11648,-1280,
1312,16,0,0,0,0,20,0,0,-128,-128,0,0,0,0,0,0,16,0,0,0,0,-6,0,0,0,16,-2,-20,-2,
-2,0,-4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,-1,0,0,0,0,-2,4,0,0,
0,0,0,-2,0,0,0,0,0,0,0,0,0,1,0,2,0,0,-1,0,0,0,0,0,0],[133398252,972972,26028,
-3348,0,6561,0,0,252,-36,-36,12,27,0,-243,0,-135,0,81,0,-27,0,0,0,0,0,0,0,-6,
0,0,4,0,0,0,0,0,-3,3,-3,-2,0,9,0,9,-9,9,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,
0,0,0,0,0,0,0,-3,-1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0],[
153014400,-739200,49280,-1920,-7560,-5616,540,54,0,0,0,0,0,-840,168,-40,32,
-12,48,-60,24,24,6,-4,12,-12,-6,-6,0,0,0,0,0,18,-9,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,E(13)+E(13)^3+E(13)^4+E(13)^9+E(13)^10+E(13)^12,
E(13)^2+E(13)^5+E(13)^6+E(13)^7+E(13)^8+E(13)^11,0,0,0,0,0,0,1,3,0,3,0,2,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,E(13)+E(13)^3+E(13)^4+E(13)^9+E(13)^10+E(13)^12,
E(13)^2+E(13)^5+E(13)^6+E(13)^7+E(13)^8+E(13)^11,0,0,0,0,0,0,0,0,
E(13)+E(13)^3+E(13)^4+E(13)^9+E(13)^10+E(13)^12,E(13)^2+E(13)^5+E(13)^6
 +E(13)^7+E(13)^8+E(13)^11,0,0],
[GALOIS,[62,2]],[166559744,-2555904,32768,0,34112,-2176,-880,-232,-512,0,0,0,
-6,384,-192,-64,-64,96,0,0,0,0,24,8,0,0,0,0,1,0,0,0,-16,11,2,2,2,-4,-2,0,-1,
16,0,0,-8,0,0,0,0,0,4,0,0,0,0,0,0,0,-1,1,-3,0,0,0,0,0,3,0,0,-1,2,0,0,-2,0,1,
-1,1,1,0,0,0,0,0,0,0,-1,-1,1,-1,0,1,0,1,0,0,-1,1],[166559744,2555904,32768,0,
34112,-2176,-880,-232,512,0,0,0,-6,-384,192,-64,-64,-96,0,0,0,0,-24,8,0,0,0,0,
1,0,0,0,-16,11,2,2,2,4,-2,0,-1,-16,0,0,8,0,0,0,0,0,-4,0,0,0,0,0,0,0,1,1,-3,0,
0,0,0,0,-3,0,0,-1,2,0,0,2,0,1,-1,-1,-1,0,0,0,0,0,0,0,-1,1,1,1,0,1,0,-1,0,0,1,
-1],[176125950,750750,11550,1790,-4095,9027,-450,36,210,6,-30,-2,0,-1155,-201,
165,75,-30,83,-70,-1,-7,42,-6,-10,14,2,-4,0,-2,2,2,-18,0,-9,0,0,0,0,0,0,15,
-21,9,3,-3,-5,-3,-6,3,0,1,-2,0,0,-2,0,0,0,0,0,0,0,0,0,3,0,-1,2,0,3,2,0,0,0,0,
0,0,0,0,0,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[176125950,750750,11550,1790,
-4095,-8469,360,117,210,6,-30,-2,0,-1155,-201,165,-141,132,-133,20,-1,-7,-39,
-24,8,-4,-7,5,0,-2,2,2,-18,0,0,9,0,0,0,0,0,15,3,9,3,-3,-5,-3,0,3,0,1,4,-3,0,1,
0,0,0,0,0,0,0,0,0,-6,0,2,2,0,0,-1,0,0,0,0,0,0,0,0,0,-1,-1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0],[203802885,-1911195,27621,-2043,9477,5103,0,0,-279,-3,-39,-27,-15,
729,243,81,-81,0,-81,0,-45,45,0,0,0,0,0,0,-1,1,5,1,0,0,0,0,0,5,1,-3,0,-9,-9,
-3,-9,-3,3,9,0,3,0,-3,0,0,0,0,0,0,1,-1,-3,0,-1,-1,0,0,0,0,0,0,0,0,0,1,1,-1,0,
0,0,0,0,-1,1,1,0,0,0,1,1,-1,0,-1,0,0,0,0,1,1],[207793431,-2368521,26487,-2025,
19683,0,0,0,27,-81,75,-9,6,-729,0,-81,0,0,0,0,0,27,0,0,0,0,0,0,-1,-5,-1,3,0,0,
0,0,0,4,2,0,-1,9,0,-9,0,0,0,3,0,-3,0,0,0,0,0,0,1,1,-1,-1,3,0,1,1,0,0,0,0,0,0,
0,0,0,2,0,-1,-1,-1,-1,0,0,-1,0,1,1,1,0,-1,-1,1,0,-1,0,0,1,1,-1,-1],[211351140,
-1021020,23716,-924,-4914,-7101,351,-135,84,84,-76,-28,-35,-546,147,46,91,3,
51,51,75,30,-15,-17,15,3,-3,-3,0,0,0,4,0,-18,9,0,0,5,1,1,0,-6,3,-6,3,3,-1,-6,
3,2,3,-1,-1,3,-1,-1,0,0,0,0,1,1,0,0,0,-3,0,-3,0,-2,1,0,0,-1,-1,0,0,0,0,0,0,0,
1,0,0,0,0,0,1,-1,1,0,0,0,0,0,0,-1],[216154575,-61425,-61425,4815,0,2430,1215,
0,-105,15,-105,-1,0,0,54,0,54,27,-18,-45,-18,0,54,27,-9,-9,-18,0,0,3,3,3,0,0,
0,0,0,0,0,0,-1,0,6,0,-6,6,2,0,3,0,-3,2,-1,0,-3,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[216770400,
2402400,36960,4960,17640,3708,630,63,0,-32,0,32,0,840,-60,-120,-84,66,28,10,
-44,40,21,-30,-2,-2,1,-5,0,0,0,0,9,0,9,-9,0,0,0,0,0,0,4,-8,0,4,-4,-8,-2,0,0,
-4,2,1,0,-1,2,2,0,0,0,0,0,0,0,-3,0,1,1,0,-3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,-1,-1,0,0],[244563462,-1552122,-56826,774,9477,2187,729,0,462,54,
46,-42,-13,405,-81,117,-45,-81,27,-81,-9,-27,0,9,9,-9,0,0,-4,-2,-2,2,0,0,0,0,
0,3,-1,-1,0,-15,3,-3,3,9,3,-3,-3,1,3,-3,3,0,1,0,0,0,2,0,2,-1,0,0,0,0,0,0,0,0,
0,0,0,-3,1,-1,0,0,0,0,0,1,-1,1,0,0,0,0,2,0,-1,1,0,0,0,0,-1,0],[263376036,
1920996,-30492,-3420,10206,-2187,1458,0,-588,-108,20,36,-14,1134,81,126,45,0,
-27,0,9,-18,0,18,18,0,0,0,0,0,0,4,0,0,0,0,0,-4,-2,0,0,-6,-3,-6,-3,-9,-3,-6,-6,
2,0,3,0,0,2,0,1,1,0,0,1,-2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,-1,-1,
0,0,1,-1,0,0,0,0,1,1,0,-1],[264188925,-2477475,35805,765,12285,8073,945,135,
105,-107,25,-35,0,-1575,153,-15,57,-63,-87,-15,9,-27,-9,-15,-15,9,3,3,0,5,1,1,
-27,0,0,0,0,0,0,0,0,15,1,1,-3,1,1,-11,1,-5,-3,1,1,1,1,1,0,0,0,0,0,0,-1,-1,0,0,
0,0,-3,0,0,0,0,0,0,0,0,0,0,0,0,1,1,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0],[264536064,
-2555904,-32768,0,22464,-3456,432,-216,512,0,0,0,14,384,-192,64,64,96,0,0,0,0,
24,-8,0,0,0,0,-5,0,0,0,0,9,-18,0,0,-4,2,0,1,-16,0,0,8,0,0,0,0,0,-4,0,0,0,0,0,
0,0,-1,-1,-1,2,0,0,-1,0,3,0,0,1,-2,0,0,2,0,1,1,1,1,0,0,0,0,0,0,0,0,1,-1,-1,0,
0,0,-1,0,0,-1,-1],[264536064,2555904,-32768,0,22464,-3456,432,-216,-512,0,0,0,
14,-384,192,64,64,-96,0,0,0,0,-24,-8,0,0,0,0,-5,0,0,0,0,9,-18,0,0,4,2,0,1,16,
0,0,-8,0,0,0,0,0,4,0,0,0,0,0,0,0,1,-1,-1,2,0,0,-1,0,-3,0,0,1,-2,0,0,-2,0,1,1,
-1,-1,0,0,0,0,0,0,0,0,-1,-1,1,0,0,0,1,0,0,1,1],[286274560,-2196480,11264,1024,
7384,-6656,-1256,-68,-64,0,-64,0,35,456,240,104,32,24,64,64,16,-8,24,-4,16,4,
-8,4,5,0,0,0,-14,-5,-5,-5,-2,-5,-1,-1,0,-4,0,0,8,0,0,0,0,-4,2,0,0,0,2,0,0,0,1,
1,-1,-1,0,0,0,-3,-3,1,-2,-1,-1,1,0,1,1,-1,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1,-1,0,
0,-1,0,0,1,1],[287721720,2316600,10296,-1800,9477,-4374,-1458,0,-120,72,40,24,
20,405,-162,117,90,0,-54,0,-18,-27,0,-18,-18,0,0,0,-1,4,4,0,0,0,0,0,0,0,-4,0,
0,-15,-6,-3,6,0,6,-3,6,1,0,0,0,0,-2,0,0,0,-1,-1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,1,0,1,0,0,0,-1,2,0,0,-1,0,0,0,0,-1,0],[289027200,-739200,49280,
3200,-14280,4944,-780,-186,0,0,0,0,0,-840,168,-40,32,-12,-16,20,-40,-40,6,-4,
20,-4,2,2,0,0,0,0,30,-6,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-E(13)-E(13)^3-E(13)^4-E(13)^9-E(13)^10-E(13)^12,-E(13)^2-E(13)^5-E(13)^6
 -E(13)^7-E(13)^8-E(13)^11,0,0,0,0,0,0,0,3,0,-1,2,2,-1,-1,0,0,0,0,0,0,0,0,0,0,
0,0,E(13)+E(13)^3+E(13)^4+E(13)^9+E(13)^10+E(13)^12,E(13)^2+E(13)^5+E(13)^6
 +E(13)^7+E(13)^8+E(13)^11,0,0,0,0,0,0,0,0,-E(13)-E(13)^3-E(13)^4-E(13)^9
 -E(13)^10-E(13)^12,-E(13)^2-E(13)^5-E(13)^6-E(13)^7-E(13)^8-E(13)^11,0,0],
[GALOIS,[80,2]],[289103904,2729376,-7776,2592,19683,0,0,0,-216,0,-24,0,-21,
-729,0,-81,0,0,0,0,0,27,0,0,0,0,0,0,5,4,-4,0,0,0,0,0,0,1,-1,-3,1,9,0,-9,0,0,0,
3,0,-3,0,0,0,0,0,0,-2,-2,-1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,-1,1,1,1,-1,-1,
-1,0,1,0,0,0,1,-1,1,0,0,0,0,1,1,-1,-1],[313112800,2402400,36960,1760,5005,
-1448,-1340,64,280,-64,-40,0,0,-735,-384,105,24,48,-40,-40,32,5,-6,24,-4,-4,
14,-4,0,-4,4,0,-17,1,1,1,-2,0,0,0,0,-5,8,-7,-8,8,0,5,-4,-1,-2,0,0,2,2,0,0,0,0,
0,0,0,0,0,0,3,3,-1,-1,-3,-3,-1,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,1,0,0,0,0,0,-1,1,
0,0,0,0],[313112800,-800800,-12320,-800,-7280,13132,-800,-71,0,96,0,32,0,560,
128,-80,100,20,-68,-140,-8,16,-61,-8,16,4,-5,1,0,0,0,0,10,10,1,1,1,0,0,0,0,0,
12,0,0,6,-4,0,0,0,0,2,-4,-3,0,-1,0,0,0,0,0,0,0,0,0,-7,2,1,-2,-2,1,1,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0],[313112800,-800800,-12320,-800,
-7280,-4364,10,10,0,96,0,32,0,560,128,-80,-116,-142,100,10,-8,16,20,-26,-14,
22,-8,-2,0,0,0,0,10,10,10,10,1,0,0,0,0,0,-12,0,0,6,-4,0,-6,0,0,2,2,0,0,2,0,0,
0,0,0,0,0,0,0,2,2,-2,-2,-2,-2,-2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0],[322058880,1372800,88704,640,-15912,-7488,288,-36,0,0,0,0,-20,1560,
-312,-72,144,-24,-32,40,-8,-8,12,0,-32,-8,4,4,-4,0,0,0,18,0,-9,9,0,0,4,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,-2,-2,0,0,0,-3,0,1,-2,0,3,1,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,-2,0,0,1,0,0,0,0,-1,0],[336061440,-2196480,11264,-3072,
2808,-1728,-1080,216,64,0,64,0,15,456,240,104,32,24,0,0,-48,24,24,-4,0,-12,0,
0,1,0,0,0,0,-9,-9,0,0,-5,-1,3,0,4,0,0,-8,0,0,0,0,4,-2,0,0,0,-2,0,0,0,1,1,3,0,
0,0,0,-3,-3,-3,0,-1,-1,0,0,-1,-1,1,0,0,0,-1,-1,0,0,0,0,0,0,1,-1,1,0,1,0,1,0,0,
1,-1],[341577600,-2038400,-31360,1920,5460,3192,-1020,114,0,128,0,0,0,1540,
208,-220,-40,64,-72,0,48,-12,-8,-4,-12,0,0,-6,0,0,0,0,-21,6,6,6,-3,0,0,0,1,0,
8,-4,0,-16,0,-4,-4,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,4,-2,0,3,2,2,0,1,0,0,0,1,
-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0],[343529472,2050048,-22528,-2048,
4368,1344,-384,156,0,0,0,0,22,-1232,-224,-208,-64,-80,64,64,-32,16,-8,8,16,-8,
-8,4,6,0,0,0,-6,-6,-6,3,-3,-2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-2,
1,0,0,0,-2,4,-2,-2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,-2,-1,1,0,0,0,0,0,
0],[352251900,1501500,23100,-6660,-8190,7119,-90,-90,140,-20,-20,-4,0,210,
-321,-30,15,66,15,-30,63,18,30,6,6,18,6,6,0,0,0,-4,-9,-9,0,0,0,0,0,0,0,-10,7,
-2,-13,7,-1,-2,-2,-2,2,-1,2,-2,-2,2,0,0,0,0,0,0,0,0,0,0,-3,0,3,3,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0],[362316240,720720,27984,1488,
-14742,4698,810,-162,-336,-144,-16,-48,15,1386,-18,-6,-150,36,-6,-60,30,-6,
-18,-6,-6,12,-6,-6,6,0,0,0,0,0,0,0,0,-5,-1,3,0,-6,-6,6,6,0,6,6,6,2,0,0,0,0,2,
0,0,0,0,-2,3,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,1,
0,0,0,0,0,-1],[476702577,1791153,-75087,2673,0,0,0,0,-567,81,9,-63,27,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-6,-3,-3,-3,0,0,0,0,0,3,3,3,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,-1,-1,1,0,0,0,0,0,0,0,0,3,-1,0,-1,1,1,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0],[496897335,360855,18711,567,-19683,0,0,0,-189,-81,51,-9,-15,
729,0,81,0,0,0,0,0,-27,0,0,0,0,0,0,4,-1,-5,3,0,0,0,0,0,5,1,-3,0,-9,0,9,0,0,0,
-3,0,3,0,0,0,0,0,0,-1,-1,-2,0,-3,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,-1,-1,1,
0,-1,1,1,0,0,1,-1,0,-1,0,0,-1,-1,1,1],[504627200,0,0,0,-17920,-4096,-640,224,
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,-10,2,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,2*E(13)+2*E(13)^3+2*E(13)^4+2*E(13)^9+2*E(13)^10
 +2*E(13)^12,2*E(13)^2+2*E(13)^5+2*E(13)^6+2*E(13)^7+2*E(13)^8+2*E(13)^11,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,
-E(13)-E(13)^3-E(13)^4-E(13)^9-E(13)^10-E(13)^12,-E(13)^2-E(13)^5-E(13)^6
 -E(13)^7-E(13)^8-E(13)^11,0,0],
[GALOIS,[94,2]],[526752072,648648,-60984,-2232,-10206,-4374,729,0,168,72,40,
-24,-28,-1134,-162,-126,90,81,-54,81,-18,18,0,9,9,9,0,0,0,0,0,0,0,0,0,0,0,-2,
-4,-2,0,6,-6,6,6,0,6,6,-3,-2,-3,0,-3,0,1,0,2,2,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,
0,-2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,0,0,0,-1,-1,0,1],[528377850,-150150,
-51590,-2310,-12285,5211,270,-216,210,42,50,42,0,-525,-57,115,-101,-48,27,0,
39,3,24,-2,-18,-24,0,0,0,2,2,-2,0,-18,9,0,0,0,0,0,0,15,3,3,3,-3,-9,3,6,-1,0,
-3,0,0,2,0,0,0,0,0,0,0,0,0,0,3,0,3,0,-2,1,0,0,0,0,0,0,0,0,0,0,-1,1,-1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0],[559458900,-2702700,-41580,1620,0,-4131,1215,0,420,-156,
-60,52,0,0,189,0,-27,-27,45,45,-27,0,-54,27,-9,9,18,0,0,0,0,-4,0,0,0,0,0,0,0,
0,0,0,-3,0,-3,-3,1,0,3,0,3,1,1,0,-3,-2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]],
[(80,81),(78,79),(63,64),(57,58)(85,86)(95,96)]);
ARC("Fi23","CAS",[rec(name:="f23",
permchars:=(64,65)(76,77)(80,81),
permclasses:=(30,31,32)(45,46)(68,71)(69,70)(72,73)(82,83)(93,94),
text:=[
"names:=f23; m[23]; fi23\n",
"   order: 2^18.3^13.5^2.7.11.13.17.23 = 4,089,470,473,293,004,800\n",
"   number of classes: 98\n",
"   source / origin:\n",
"          hunt, d.c.\n",
"          the character table of fischer's simple group m[23]\n",
"          math.comp. 28\n",
"          [1974],660-661\n",
"          loose microfiche suppl. e6-f9 \n",
""])]);
ARC("Fi23","isSimple",true);
ARC("Fi23","extInfo",["",""]);
ALF("Fi23","F3+",[1,2,2,3,4,5,6,7,10,9,10,11,12,13,15,13,15,18,17,14,17,
16,19,18,21,21,20,22,24,26,26,27,29,30,31,33,34,35,35,36,37,41,39,38,44,
39,45,40,42,41,49,45,48,43,49,50,51,51,52,52,54,56,57,57,58,60,62,59,61,
62,60,63,64,67,67,69,73,73,73,74,75,76,80,77,83,83,84,87,90,90,91,94,97,
98,100,99,103,108],[
"fusion map is unique up to table autom.,\n",
"compatible with Brauer tables"
]);
ALF("Fi23","3.F3+",[1,4,4,7,10,11,14,17,22,19,22,25,28,31,37,31,37,44,41,
34,41,40,47,44,53,53,50,56,58,64,64,67,73,74,77,79,80,83,83,86,89,97,93,
92,104,93,107,96,100,97,115,107,112,103,115,118,121,121,124,124,130,136,
139,139,142,146,150,145,149,150,146,153,154,163,163,169,177,177,177,180,
183,186,190,187,199,199,202,205,214,214,217,226,231,232,235,236,239,254],[
"fusion map is unique up to table automorphisms"
]);
ALF("Fi23","B",[1,2,3,5,6,7,6,7,11,12,14,15,18,20,23,22,26,21,28,24,29,27,
23,22,27,24,28,29,31,41,41,42,46,47,47,46,47,48,49,52,54,59,60,64,65,68,
71,64,64,66,62,73,70,68,66,73,75,75,77,79,81,81,89,89,91,92,93,95,96,94,
94,96,93,103,104,109,111,110,110,112,113,123,125,123,130,130,131,135,140,
138,141,155,158,157,160,160,167,181],[
"fusion map is unique up to table automorphisms"
]);
ALN("Fi23",["f23"]);
ARC("Fi23","maxes",["2.Fi22","O8+(3).3.2","2^2.U6(2).2","S8(2)","S3xO7(3)",
"2..11.m23","3^(1+8).2^(1+6).3^(1+2).2S4","Fi23M8","A12.2",
"(2^2x2^(1+8)).(3xU4(2)).2","2^(6+8):(A7xS3)","S4xS6(2)","S4(4).4",
"L2(23)"]);

LIBTABLE.LOADSTATUS.ctofisc2:="userloaded";

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