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Extended primitive groups library for degrees up to 4095.
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Groups were taken from the MAGMA database created by Coutts,
Roney-Dougal and Quick in 2009.
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@markuspf
Christopher Russell authored and markuspf committed Jun 29, 2016
1 parent 5657010 commit eecad70
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19,820 changes: 19,820 additions & 0 deletions prim/grps/gps25.g
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33,545 changes: 33,545 additions & 0 deletions prim/grps/gps30.g
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15,094 changes: 15,094 additions & 0 deletions prim/grps/gps31.g
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16,448 changes: 16,448 additions & 0 deletions prim/grps/gps32.g
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19,205 changes: 19,205 additions & 0 deletions prim/grps/gps33.g
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9,708 changes: 9,708 additions & 0 deletions prim/grps/gps34.g
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29,940 changes: 29,940 additions & 0 deletions prim/grps/gps35.g
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7,287 changes: 7,287 additions & 0 deletions prim/grps/gps36.g
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9,049 changes: 9,049 additions & 0 deletions prim/grps/gps37.g
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18,120 changes: 18,120 additions & 0 deletions prim/grps/gps38.g
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160 changes: 157 additions & 3 deletions prim/primitiv.grp
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Original file line number Diff line number Diff line change
Expand Up @@ -16,7 +16,7 @@
#V PRIMRANGE
##
## range of the library
BindGlobal("PRIMRANGE",[1..2499]);
BindGlobal("PRIMRANGE",[1..4095]);

#############################################################################
##
Expand Down Expand Up @@ -147,7 +147,95 @@ BindGlobal("PRIMINDX",
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24]
24,24,24,24,24,24,25,25,25,25,25,25,25,25,25,25,25,25,
25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,
25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,
25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,
25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,
25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,
25,25,25,25,25,25,26,26,26,26,26,26,26,26,26,26,26,26,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,
26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,
26,26,26,26,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,
28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,
28,28,28,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,
29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,
29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,
29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,
29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,
29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,
29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,31,31,31,31,31,
31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,
31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,
31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,
31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,
31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,
31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,
31,31,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,33,33,
33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,
33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,
33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,
33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,
33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,
33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,
34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,
34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,
34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,
34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,
34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,
34,34,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,
35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,
35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,
35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,
35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,
35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,
35,35,35,35,35,35,35,35,35,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,37,37,37,37,37,37,37,37,37,37,37,37,37,
37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,
37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,
37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,
37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,
37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,
37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,
37,37,37,37,37,37,37,37,38,38,38,38,38,38,38,38,38,38,
38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,
38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,
38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,
38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,
38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,
38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,38,
39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,
39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,
39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,
39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,
39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,
39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,
39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39]
);

#############################################################################
Expand Down Expand Up @@ -262,5 +350,71 @@ BindGlobal("PRIMLENGTHS",[
2,2,2,2,2,10,4,2,2,4,2,12,4,2,2,2,2,10,4,2,2,2,2,2,
2,2,2,2,2,2,2,26,4,2,4,18,4,2,2,2,2,6,9,2,2,6,2,2,
2,2,2,4,2,6,4,2,2,2,2,4,2,14,4,2,2,2,2,18,4,2,2,8,
4,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2 ]);
4,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,34,2,2,
14,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,11,50,4,2,2,2,2,
2,2,2,2,18,4,2,2,2,2,2,2,18,4,2,2,10,4,2,2,2,2,20,4,
26,4,2,2,2,6,20,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,18,4,32,4,2,2,2,2,
2,4,6,2,2,2,2,2,2,2,12,4,2,2,2,2,2,2,18,4,2,2,14,4,
2,2,2,2,2,6,2,2,2,2,18,4,2,2,2,2,2,2,2,2,2,2,2,2,26,
4,2,2,2,2,2,2,2,2,14,4,10,4,2,2,10,4,2,2,3,2,2,2,18,
4,2,2,2,2,14,4,2,2,2,2,14,4,2,2,10,4,34,4,2,2,8,4,2,
2,2,2,10,4,6,2,2,9,2,2,18,4,4,2,10,4,18,4,2,2,2,2,
14,4,2,2,2,2,2,2,2,2,18,4,34,4,2,2,2,2,2,2,2,2,14,4,
2,22,2,2,2,2,14,4,2,12,16,4,2,2,2,2,2,2,2,2,2,2,2,2,
10,4,2,2,2,2,2,2,4,2,10,4,2,2,2,2,2,2,2,2,2,2,14,4,
26,4,4,2,2,2,14,4,2,2,33,4,10,4,2,2,2,4,112,7,2,2,2,
2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,22,4,10,2,8,4,
2,2,2,2,14,4,2,2,2,2,2,9,26,4,2,2,2,2,34,4,2,2,26,4,
3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2,2,2,2,18,4,
2,2,2,2,2,2,2,2,12,4,2,2,2,2,6,4,2,2,2,2,8,4,2,2,2,
2,2,10,23,4,2,2,2,2,2,2,6,5,18,4,2,2,2,2,2,2,2,2,2,
2,10,4,2,2,2,2,2,2,2,2,2,2,2,2,26,4,2,2,8,4,2,2,2,2,
6,4,2,2,2,2,18,4,34,4,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,6,4,34,4,8,2,2,2,2,2,2,2,18,4,
2,2,2,2,2,2,10,4,2,2,6,4,18,2,2,2,2,2,2,2,2,2,2,2,26,
4,2,2,26,4,2,2,2,2,2,2,18,4,2,2,2,2,2,2,2,2,2,4,38,4,
2,2,2,2,18,4,2,2,2,2,2,2,2,2,2,2,22,4,6,2,10,4,2,2,2,
2,12,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,26,4,2,2,
2,2,2,2,2,2,6,4,42,4,2,2,122,6,2,2,2,2,2,2,2,2,2,34,
23,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,5,6,2,2,
18,4,2,2,6,4,38,4,2,2,2,2,2,2,2,2,2,2,26,4,2,2,2,2,
18,4,2,2,18,4,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2,2,10,4,2,
2,2,2,2,2,22,4,2,2,26,4,2,2,2,2,2,2,14,4,2,2,2,2,2,2,
2,2,2,19,2,2,2,2,2,2,2,2,11,2,18,4,14,4,2,2,18,4,14,
4,2,2,2,5,2,2,2,2,2,2,18,4,2,2,2,9,2,2,2,8,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,10,4,38,4,2,2,2,2,18,4,2,2,
4,2,32,4,2,2,2,2,18,4,19,2,10,4,2,2,2,2,20,4,26,4,2,
2,2,2,2,2,2,2,2,2,10,4,2,2,10,4,2,2,2,2,2,2,2,2,2,2,
10,4,50,4,2,6,2,2,2,2,2,2,10,4,14,4,26,2,2,2,2,2,2,2,
2,2,2,2,2,2,20,4,18,4,2,2,2,2,2,2,2,2,2,2,6,2,2,2,10,
4,2,2,2,2,8,4,2,2,2,2,2,7,2,2,2,2,2,2,2,2,2,2,2,2,34,
4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,10,4,2,2,2,2,2,2,34,4,
2,2,14,4,10,4,2,2,6,4,20,4,2,2,2,2,2,2,2,2,2,2,94,7,
2,2,2,6,2,2,2,2,10,4,2,2,2,2,2,2,18,4,2,2,2,2,2,2,2,
2,2,4,34,4,2,2,2,2,14,4,2,4,2,2,2,2,2,2,10,4,38,4,2,
2,8,4,2,2,2,2,10,4,27,4,2,2,2,2,14,4,2,2,2,2,2,2,2,2,
14,4,10,4,2,2,2,2,2,2,2,2,2,4,34,4,2,2,2,2,2,2,2,2,14,
4,14,4,2,2,2,2,2,2,2,2,10,4,2,2,2,2,2,39,2,2,2,2,2,2,
10,4,2,2,2,2,26,4,2,2,14,4,2,2,2,2,6,4,2,2,2,2,2,2,26,
4,2,2,2,2,20,4,2,6,2,2,10,4,2,2,2,11,2,2,2,2,2,4,4,2,
2,2,10,4,2,2,2,2,2,2,2,2,2,2,10,4,34,4,2,2,8,4,2,2,2,
2,2,2,2,2,2,2,2,2,26,4,2,2,2,2,42,4,2,2,20,4,2,2,2,2,
2,2,20,4,2,2,2,2,2,2,2,2,14,4,238,7,2,2,2,2,22,4,2,2,
2,2,14,4,2,2,2,2,18,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,22,4,2,2,2,2,10,4,18,4,2,2,2,2,2,2,2,2,6,4,
2,2,4,2,2,2,2,2,2,2,2,2,22,4,3,2,14,4,2,2,2,2,6,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,14,4,26,4,2,2,2,4,2,2,
2,2,10,4,2,2,2,2,2,2,2,2,2,10,2,2,10,4,2,4,26,4,20,4,
2,2,2,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,4,4,26,4,2,2,
18,4,2,2,2,2,2,4,32,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
10,26,4,2,2,18,4,2,2,2,6,14,4,10,4,2,2,10,4,2,2,2,2,
10,4,18,4,2,2,2,2,2,2,2,2,2,2,18,4,2,2,6,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,10,4,16,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,8,4,2,2,2,2,2,2,2,2,2,4,26,4,18,4,6,
2,6,4,2,2,2,2,14,4,2,2,2,2,14,4,26,4,2,2,2,2,18,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,22,4,32,4,2,2,2,2,
26,4,2,5,2,2,2,2,2,2,2,2,2,2,2,2,10,4,2,2,2,2,6,12,2,
2,2,2,2,2,2,2,2,2,10,4,26,4,6 ]);


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