Summary of computations of minimal generating sets of invariant rings of transitive permutation groups, in characteristic 0

niFiles#GbetapbetaNumber of generators per degree
21log,results,stats2221 1
31log,results,stats3331 1 2
32log,results,stats6331 1 1
41log,results,stats4441 2 2 2
42log,results,stats4331 3 1
43log,results,stats8441 2 1 1
44log,results,stats12661 1 1 1 0 1
45log,results,stats24441 1 1 1
51log,results,stats5551 2 4 4 4
52log,results,stats10751 2 2 2 2
53log,results,stats20871 1 1 2 2 1 1
54log,results,stats6010101 1 1 1 1 0 0 0 0 1
55log,results,stats120551 1 1 1 1
61log,results,stats6661 3 6 6 2 2
62log,results,stats6441 4 5 4
63log,results,stats12961 3 3 3 1 1
64log,results,stats12961 2 5 3 2 1
65log,results,stats181361 2 3 3 2 2
66log,results,stats241261 2 4 3 2 2
67log,results,stats241351 2 3 2 1
68log,results,stats241291 2 2 2 1 3 1 1 1
69log,results,stats361461 2 2 2 1 2
610log,results,stats361391 2 2 2 1 1 1 1 1
611log,results,stats481261 2 2 2 1 1
612log,results,stats601271 1 2 1 2 2 1
613log,results,stats72861 2 2 2 1 1
614log,results,stats12012101 1 1 1 1 2 0 1 1 1
615log,results,stats36015151 1 1 1 1 1 0 0 0 0 0 0 0 0 1
616log,results,stats720661 1 1 1 1 1
71log,results,stats7771 3 8 12 12 6 6
72log,results,stats141071 3 4 6 6 3 3
73log,results,stats211371 1 4 5 8 8 6
74log,results,stats421891 1 2 3 4 7 7 5 1
75log,results,stats1681871 1 2 2 2 2 2
76log,results,stats252021211 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1
77log,results,stats5040771 1 1 1 1 1 1
81log,results,stats8881 4 10 18 16 8 4 4
82log,results,stats8651 5 9 16 8
83log,results,stats8641 7 7 7
84log,results,stats8651 6 8 12 5
85log,results,stats8661 4 10 19 15 7
86log,results,stats161281 4 5 9 8 4 2 2
87log,results,stats161281 3 7 12 13 9 4 4
88log,results,stats161281 3 6 11 12 7 2 2
89log,results,stats161251 5 5 8 4
810log,results,stats161261 4 6 11 7 2
811log,results,stats161261 4 6 11 7 3
812log,results,stats241871 2 4 8 11 12 7
813log,results,stats2418161 3 3 7 8 11 7 0 0 0 0 0 0 0 0 188
814log,results,stats241891 3 3 8 7 9 6 1 1
848log,results,stats134424101 1 1 2 1 2 2 2 1 1
849log,results,stats2016028281 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
850log,results,stats40320881 1 1 1 1 1 1 1
91log,results,stats9991 4 14 26 32 18 12 6 6
92log,results,stats9551 4 16 24 24
93log,results,stats181391 4 7 13 16 12 6 3 3
94log,results,stats181371 3 10 14 19 9 2
95log,results,stats181361 4 8 12 12 10