On Thu, Aug 30, 2012 at 10:20 AM, Chris Smith <[email protected]> wrote:
>>
>> Permutation([(0, 2, 7, 5), (1, 4, 6, 3), (8, 32, 24, 16), (9, 33, 25,17), 
>> (10, 34, 26, 18)])
>
> Sorry, enter that as
>
> Permutation([(0, 2, 7, 5), (1, 4, 6, 3), (8, 32, 24, 16), (9, 33,
> 25,17), (10, 34, 26, 18)]  ,  size=48)

Thanks. Here we are:-)


>>> F = Permutation([(17,19,24,22),(18,21,23,20),( 6,25,43,16),( 7,28,42,13),( 
>>> 8,30,41,11)],  size=49)
>>> B = Permutation([(33,35,40,38),(34,37,39,36),( 3, 9,46,32),( 2,12,47,29),( 
>>> 1,14,48,27)],  size=49)
>>> L = Permutation([( 9,11,16,14),(10,13,15,12),( 1,17,41,40),( 4,20,44,37),( 
>>> 6,22,46,35)],  size=49)
>>> R = Permutation([ (25,27,32,30),(26,29,31,28),( 3,38,43,19),( 5,36,45,21),( 
>>> 8,33,48,24)],  size=49)
>>> U = Permutation([ ( 1, 3, 8, 6),( 2, 5, 7, 4),( 
>>> 9,33,25,17),(10,34,26,18),(11,35,27,19)],  size=49)
>>> D = Permutation([ 
>>> (41,43,48,46),(42,45,47,44),(14,22,30,38),(15,23,31,39),(16,24,32,40)],  
>>> size=49)
>>> G = PermutationGroup([F,B,L,R,U,D])
>>> G.order()
43252003274489856000
>>> Z = G.center()
>>> Z.order()
2


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