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[ 1, 0 ]
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[ 0, 0, 0, 0, 1, 1, 1, 2, 4, 6, 6, 8, 10, 11, 11, 12, 13, 14, 14, 14, 15, 15, 
  14, 14, 14, 13, 12, 12, 11, 10, 9, 9, 8, 7, 6, 6, 6, 5, 4, 4, 4, 3, 2, 2, 
  2, 2, 1, 1, 1, 1 ]
21
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1213
125
[ 0, 1, 1, 3, 5, 11, 21, 43, 85, 171, 341 ]
[ 2, 1, 5, 7, 17, 31, 65, 127, 257, 511, 1025 ]
[ 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ]
true
[ 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597 ]
1751455877444438095408940282208383549115781784912085789506677971125378
[ 1, -1/2, 1/6, 0, -1/30, 0, 1/42, 0, -1/30, 0, 5/66, 0, -691/2730, 0, 7/6 ]
-4603784299479457646935574969019046849794257872751288919656867/230010
[ [ 1, 16 ], [ 4, 18 ], [ 16, 2 ] ]
3280
1
G has 96 classes of altogether 11300 subgroups.


*********  S_3
[sizes:2*3,2*3,3]
size=3size=3

Subgroup generated by 4 random elements...
[sizes:2*3,2*3,3]
size=3size=3


*********  S_3wrS_4
[sizes:2^7*3^5,2^7*3^5,3^5]
size=3^5size=3^5

Subgroup generated by 4 random elements...
[sizes:2^7*3^5,2^7*3^5,3^5]
size=3^5size=3^5


*********  S_4wrS_4
[sizes:2^15*3^5,2^15*3^5,3^5]
size=3^5size=3^5

Subgroup generated by 4 random elements...
[sizes:2^14*3^5,2^14*3^5,3^5]
size=3^5size=3^5
exit 0