I have checked out the iterators thematic tutorial and I must say, it's 
really helpful. Thank you for recommending that.
Seems like the is_king_tableau throws away the tableaux that have 2 in the 
2nd-row 1st column. After that, it displays all other tableaux. I tried 
implementing a condition that goes over the list and throws away the 
undesired tableaux but haven't been successful yet.


On Tuesday, March 10, 2020 at 1:59:23 AM UTC-4, Nicolas M. Thiery wrote:
>
>
> On Mon, Mar 09, 2020 at 05:20:02PM -0700, Soheli Das wrote: 
> > I was trying to list the King tableaux of a particular shape. Here's the 
> > function: 
> > 
> > def list_of_king_tableaux(t_shape, t_max_entry): 
> >     """A function which finds the list of King tableaux of given 
> shape.""" 
> >     return list([t for t in SemistandardTableaux(t_shape, 
> > max_entry=t_max_entry) if is_king_tableau(t)]) 
> > 
> > And this is the output I got: 
> > 
> > sage: list_of_king_tableaux([2,2],4) 
> > [[[1, 1], [3, 3]], 
> >  [[1, 1], [3, 4]], 
> >  [[1, 1], [4, 4]], 
> >  [[1, 2], [3, 3]], 
> >  [[1, 2], [3, 4]], 
> >  [[1, 2], [4, 4]], 
> >  [[1, 3], [3, 4]], 
> >  [[1, 3], [4, 4]]] 
> > 
> > The list shows the tableaux that are not king tableaux. How do I choose 
> the 
> > ones that obey the king tableaux condition? 
>
> The way you use is_king_tableau in list_of_king_tableaux looks 
> correct. So test that is_king_tableau indeed return false on the 
> undesired tableau. 
>
> Btw: list([...]) is redundant; [...] is equivalent. In addition, 
> iterators are most of the time better than lists. If you haven't done 
> so yet, I really recommend the iterators thematic tutorial. 
>
> Cheers, 
>                 Nicolas 
> -- 
> Nicolas M. ThiƩry "Isil" <nth...@users.sf.net <javascript:>> 
> http://Nicolas.Thiery.name/ 
>

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