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Identifier
Values
=>
Cc0013;cc-rep
([2],3)=>1 ([1,1],3)=>1 ([2],4)=>2 ([1,1],4)=>2 ([2],5)=>2 ([1,1],5)=>2 ([2],6)=>2 ([1,1],6)=>2 ([3,1],3)=>2 ([2,1,1],3)=>2 ([3],4)=>1 ([2,1],4)=>2 ([1,1,1],4)=>1 ([3],5)=>2 ([2,1],5)=>3 ([1,1,1],5)=>2 ([3],6)=>2 ([2,1],6)=>3 ([1,1,1],6)=>2 ([4,2],3)=>1 ([3,1,1],3)=>1 ([2,2,1,1],3)=>1 ([4,1],4)=>2 ([2,2],4)=>1 ([3,1,1],4)=>3 ([2,1,1,1],4)=>2 ([4],5)=>1 ([3,1],5)=>2 ([2,2],5)=>2 ([2,1,1],5)=>2 ([1,1,1,1],5)=>1 ([4],6)=>2 ([3,1],6)=>3 ([2,2],6)=>2 ([2,1,1],6)=>3 ([1,1,1,1],6)=>2 ([5,3,1],3)=>2 ([4,2,1,1],3)=>2 ([3,2,2,1,1],3)=>2 ([5,2],4)=>2 ([4,1,1],4)=>2 ([3,2,1],4)=>2 ([3,1,1,1],4)=>2 ([2,2,1,1,1],4)=>2 ([5,1],5)=>2 ([3,2],5)=>2 ([4,1,1],5)=>3 ([2,2,1],5)=>2 ([3,1,1,1],5)=>3 ([2,1,1,1,1],5)=>2 ([5],6)=>1 ([4,1],6)=>2 ([3,2],6)=>3 ([3,1,1],6)=>2 ([2,2,1],6)=>3 ([2,1,1,1],6)=>2 ([1,1,1,1,1],6)=>1 ([6,4,2],3)=>1 ([5,3,1,1],3)=>1 ([4,2,2,1,1],3)=>1 ([3,3,2,2,1,1],3)=>1 ([6,3],4)=>1 ([5,2,1],4)=>2 ([4,1,1,1],4)=>1 ([4,2,2],4)=>2 ([3,3,1,1],4)=>2 ([3,2,1,1,1],4)=>2 ([2,2,2,1,1,1],4)=>1 ([6,2],5)=>2 ([5,1,1],5)=>2 ([3,3],5)=>1 ([4,2,1],5)=>3 ([4,1,1,1],5)=>3 ([2,2,2],5)=>1 ([3,2,1,1],5)=>3 ([3,1,1,1,1],5)=>2 ([2,2,1,1,1,1],5)=>2 ([6,1],6)=>2 ([4,2],6)=>2 ([5,1,1],6)=>3 ([3,3],6)=>2 ([3,2,1],6)=>3 ([4,1,1,1],6)=>3 ([2,2,2],6)=>2 ([2,2,1,1],6)=>2 ([3,1,1,1,1],6)=>3 ([2,1,1,1,1,1],6)=>2 ([7,2],6)=>2 ([6,1,1],6)=>2 ([4,3],6)=>2 ([5,2,1],6)=>3 ([5,1,1,1],6)=>3 ([3,3,1],6)=>2 ([3,2,2],6)=>2 ([4,2,1,1],6)=>4 ([4,1,1,1,1],6)=>3 ([2,2,2,1],6)=>2 ([3,2,1,1,1],6)=>3 ([3,1,1,1,1,1],6)=>2 ([2,2,1,1,1,1,1],6)=>2 ([],2)=>1 ([1],2)=>1 ([2,1],2)=>1 ([3,2,1],2)=>1 ([4,3,2,1],2)=>1 ([5,4,3,2,1],2)=>1 ([6,5,4,3,2,1],2)=>1 ([7,6,5,4,3,2,1],2)=>1 ([8,7,6,5,4,3,2,1],2)=>1 ([9,8,7,6,5,4,3,2,1],2)=>1 ([10,9,8,7,6,5,4,3,2,1],2)=>1 ([11,10,9,8,7,6,5,4,3,2,1],2)=>1 ([],3)=>1 ([1],3)=>2 ([7,5,3,1],3)=>2 ([6,4,2,1,1],3)=>2 ([5,3,2,2,1,1],3)=>2 ([4,3,3,2,2,1,1],3)=>2 ([8,6,4,2],3)=>1 ([7,5,3,1,1],3)=>1 ([6,4,2,2,1,1],3)=>1 ([5,3,3,2,2,1,1],3)=>1 ([4,4,3,3,2,2,1,1],3)=>1 ([9,7,5,3,1],3)=>2 ([8,6,4,2,1,1],3)=>2 ([7,5,3,2,2,1,1],3)=>2 ([6,4,3,3,2,2,1,1],3)=>2 ([5,4,4,3,3,2,2,1,1],3)=>2 ([10,8,6,4,2],3)=>1 ([9,7,5,3,1,1],3)=>1 ([8,6,4,2,2,1,1],3)=>1 ([7,5,3,3,2,2,1,1],3)=>1 ([6,4,4,3,3,2,2,1,1],3)=>1 ([5,5,4,4,3,3,2,2,1,1],3)=>1 ([11,9,7,5,3,1],3)=>2 ([10,8,6,4,2,1,1],3)=>2 ([9,7,5,3,2,2,1,1],3)=>2 ([8,6,4,3,3,2,2,1,1],3)=>2 ([7,5,4,4,3,3,2,2,1,1],3)=>2 ([6,5,5,4,4,3,3,2,2,1,1],3)=>2 ([],4)=>1 ([1],4)=>2 ([7,4,1],4)=>2 ([5,2,2],4)=>1 ([6,3,1,1],4)=>3 ([5,2,1,1,1],4)=>2 ([4,3,2,1],4)=>2 ([3,3,1,1,1],4)=>1 ([4,2,2,1,1,1],4)=>3 ([3,2,2,2,1,1,1],4)=>2 ([8,5,2],4)=>2 ([7,4,1,1],4)=>2 ([6,3,2,1],4)=>2 ([6,3,1,1,1],4)=>2 ([5,2,2,1,1,1],4)=>2 ([4,4,2,2],4)=>1 ([5,3,3,1,1],4)=>3 ([4,3,2,1,1,1],4)=>2 ([4,2,2,2,1,1,1],4)=>2 ([3,3,2,2,2,1,1,1],4)=>2 ([9,6,3],4)=>1 ([8,5,2,1],4)=>2 ([7,4,1,1,1],4)=>1 ([7,4,2,2],4)=>2 ([6,3,3,1,1],4)=>2 ([6,3,2,1,1,1],4)=>2 ([5,2,2,2,1,1,1],4)=>1 ([5,4,3,2,1],4)=>2 ([5,3,3,1,1,1],4)=>2 ([4,4,2,2,1,1,1],4)=>2 ([4,3,2,2,2,1,1,1],4)=>2 ([3,3,3,2,2,2,1,1,1],4)=>1 ([10,7,4,1],4)=>2 ([8,5,2,2],4)=>1 ([9,6,3,1,1],4)=>3 ([8,5,2,1,1,1],4)=>2 ([7,4,3,2,1],4)=>2 ([6,3,3,1,1,1],4)=>1 ([7,4,2,2,1,1,1],4)=>3 ([6,3,2,2,2,1,1,1],4)=>2 ([6,4,4,2,2],4)=>2 ([5,5,3,3,1,1],4)=>2 ([5,4,3,2,1,1,1],4)=>2 ([4,4,2,2,2,1,1,1],4)=>1 ([5,3,3,2,2,2,1,1,1],4)=>3 ([4,3,3,3,2,2,2,1,1,1],4)=>2 ([11,8,5,2],4)=>2 ([10,7,4,1,1],4)=>2 ([9,6,3,2,1],4)=>2 ([9,6,3,1,1,1],4)=>2 ([8,5,2,2,1,1,1],4)=>2 ([7,4,4,2,2],4)=>1 ([8,5,3,3,1,1],4)=>3 ([7,4,3,2,1,1,1],4)=>2 ([7,4,2,2,2,1,1,1],4)=>2 ([6,3,3,2,2,2,1,1,1],4)=>2 ([6,5,4,3,2,1],4)=>2 ([5,5,3,3,1,1,1],4)=>1 ([6,4,4,2,2,1,1,1],4)=>3 ([5,4,3,2,2,2,1,1,1],4)=>2 ([5,3,3,3,2,2,2,1,1,1],4)=>2 ([4,4,3,3,3,2,2,2,1,1,1],4)=>2 ([],5)=>1 ([1],5)=>2 ([7,3],5)=>2 ([6,2,1],5)=>3 ([5,1,1,1],5)=>2 ([4,3,1],5)=>2 ([5,2,2],5)=>3 ([4,2,1,1],5)=>2 ([4,1,1,1,1],5)=>2 ([3,2,2,1],5)=>2 ([3,3,1,1,1],5)=>3 ([3,2,1,1,1,1],5)=>3 ([2,2,2,1,1,1,1],5)=>2 ([8,4],5)=>1 ([7,3,1],5)=>2 ([6,2,2],5)=>2 ([6,2,1,1],5)=>2 ([5,1,1,1,1],5)=>1 ([5,3,2],5)=>2 ([4,4,1,1],5)=>2 ([5,2,2,1],5)=>3 ([4,3,1,1,1],5)=>3 ([4,2,1,1,1,1],5)=>2 ([4,2,2,2],5)=>2 ([3,3,2,1,1],5)=>2 ([3,3,1,1,1,1],5)=>2 ([3,2,2,1,1,1,1],5)=>2 ([2,2,2,2,1,1,1,1],5)=>1 ([9,5,1],5)=>2 ([7,3,2],5)=>2 ([8,4,1,1],5)=>3 ([6,2,2,1],5)=>2 ([7,3,1,1,1],5)=>3 ([6,2,1,1,1,1],5)=>2 ([6,3,3],5)=>2 ([5,4,2,1],5)=>3 ([4,4,1,1,1],5)=>2 ([5,2,2,2],5)=>2 ([5,3,2,1,1],5)=>3 ([4,3,1,1,1,1],5)=>2 ([5,2,2,1,1,1,1],5)=>3 ([4,3,2,2,1],5)=>3 ([3,3,3,1,1,1],5)=>2 ([3,3,2,1,1,1,1],5)=>2 ([4,2,2,2,1,1,1,1],5)=>3 ([3,2,2,2,2,1,1,1,1],5)=>2 ([10,6,2],5)=>2 ([9,5,1,1],5)=>2 ([7,3,3],5)=>1 ([8,4,2,1],5)=>3 ([8,4,1,1,1],5)=>3 ([6,2,2,2],5)=>1 ([7,3,2,1,1],5)=>3 ([7,3,1,1,1,1],5)=>2 ([6,2,2,1,1,1,1],5)=>2 ([6,4,3,1],5)=>2 ([5,5,2,2],5)=>2 ([5,4,2,1,1],5)=>2 ([4,4,1,1,1,1],5)=>1 ([5,3,2,2,1],5)=>2 ([6,3,3,1,1,1],5)=>4 ([5,3,2,1,1,1,1],5)=>3 ([5,2,2,2,1,1,1,1],5)=>3 ([4,4,2,2,2],5)=>2 ([4,3,3,2,1,1],5)=>2 ([3,3,3,1,1,1,1],5)=>1 ([4,3,2,2,1,1,1,1],5)=>3 ([4,2,2,2,2,1,1,1,1],5)=>2 ([3,3,2,2,2,2,1,1,1,1],5)=>2 ([11,7,3],5)=>2 ([10,6,2,1],5)=>3 ([9,5,1,1,1],5)=>2 ([8,4,3,1],5)=>2 ([9,5,2,2],5)=>3 ([8,4,2,1,1],5)=>2 ([8,4,1,1,1,1],5)=>2 ([7,3,2,2,1],5)=>2 ([7,3,3,1,1,1],5)=>3 ([7,3,2,1,1,1,1],5)=>3 ([6,2,2,2,1,1,1,1],5)=>2 ([6,5,3,2],5)=>2 ([7,4,4,1,1],5)=>3 ([5,5,2,2,1],5)=>2 ([6,4,3,1,1,1],5)=>3 ([5,4,2,1,1,1,1],5)=>2 ([5,4,2,2,2],5)=>2 ([6,3,3,2,1,1],5)=>3 ([6,3,3,1,1,1,1],5)=>3 ([5,3,2,2,1,1,1,1],5)=>2 ([5,2,2,2,2,1,1,1,1],5)=>2 ([4,4,3,2,2,1],5)=>2 ([5,3,3,3,1,1,1],5)=>3 ([4,3,3,2,1,1,1,1],5)=>2 ([4,4,2,2,2,1,1,1,1],5)=>3 ([4,3,2,2,2,2,1,1,1,1],5)=>3 ([3,3,3,2,2,2,2,1,1,1,1],5)=>2 ([],6)=>1 ([1],6)=>2 ([8,3],6)=>2 ([7,2,1],6)=>3 ([6,1,1,1],6)=>2 ([4,4],6)=>1 ([5,3,1],6)=>3 ([6,2,2],6)=>3 ([5,2,1,1],6)=>3 ([5,1,1,1,1],6)=>3 ([3,3,2],6)=>2 ([4,3,1,1],6)=>3 ([4,2,2,1],6)=>3 ([4,2,1,1,1],6)=>3 ([4,1,1,1,1,1],6)=>2 ([2,2,2,2],6)=>1 ([3,2,2,1,1],6)=>3 ([3,3,1,1,1,1],6)=>3 ([3,2,1,1,1,1,1],6)=>3 ([2,2,2,1,1,1,1,1],6)=>2 ([9,4],6)=>2 ([8,3,1],6)=>3 ([7,2,2],6)=>2 ([7,2,1,1],6)=>3 ([6,1,1,1,1],6)=>2 ([5,4,1],6)=>2 ([6,3,2],6)=>3 ([5,3,1,1],6)=>2 ([6,2,2,1],6)=>4 ([5,2,1,1,1],6)=>2 ([5,1,1,1,1,1],6)=>2 ([3,3,3],6)=>1 ([4,3,2,1],6)=>3 ([4,4,1,1,1],6)=>3 ([5,2,2,2],6)=>3 ([4,2,2,1,1],6)=>2 ([4,3,1,1,1,1],6)=>4 ([4,2,1,1,1,1,1],6)=>3 ([3,2,2,2,1],6)=>2 ([3,3,2,1,1,1],6)=>3 ([3,3,1,1,1,1,1],6)=>2 ([3,2,2,1,1,1,1,1],6)=>3 ([2,2,2,2,1,1,1,1,1],6)=>2 ([10,5],6)=>1 ([9,4,1],6)=>2 ([8,3,2],6)=>3 ([8,3,1,1],6)=>2 ([7,2,2,1],6)=>3 ([7,2,1,1,1],6)=>2 ([6,1,1,1,1,1],6)=>1 ([6,4,2],6)=>2 ([5,5,1,1],6)=>2 ([7,3,3],6)=>3 ([6,3,2,1],6)=>3 ([5,4,1,1,1],6)=>3 ([6,2,2,2],6)=>3 ([6,2,2,1,1],6)=>3 ([5,3,1,1,1,1],6)=>3 ([5,2,1,1,1,1,1],6)=>2 ([4,3,3,1],6)=>2 ([5,3,2,2],6)=>3 ([4,4,2,1,1],6)=>3 ([4,4,1,1,1,1],6)=>3 ([5,2,2,2,1],6)=>3 ([4,3,2,1,1,1],6)=>3 ([4,3,1,1,1,1,1],6)=>3 ([4,2,2,1,1,1,1,1],6)=>2 ([4,2,2,2,2],6)=>2 ([3,3,2,2,1,1],6)=>2 ([3,3,3,1,1,1,1],6)=>3 ([3,3,2,1,1,1,1,1],6)=>3 ([3,2,2,2,1,1,1,1,1],6)=>2 ([2,2,2,2,2,1,1,1,1,1],6)=>1 ([11,6,1],6)=>2 ([9,4,2],6)=>2 ([10,5,1,1],6)=>3 ([8,3,3],6)=>2 ([8,3,2,1],6)=>3 ([9,4,1,1,1],6)=>3 ([7,2,2,2],6)=>2 ([7,2,2,1,1],6)=>2 ([8,3,1,1,1,1],6)=>3 ([7,2,1,1,1,1,1],6)=>2 ([7,4,3],6)=>2 ([6,5,2,1],6)=>3 ([5,5,1,1,1],6)=>2 ([7,3,3,1],6)=>3 ([6,3,2,2],6)=>2 ([6,4,2,1,1],6)=>4 ([5,4,1,1,1,1],6)=>3 ([6,2,2,2,1],6)=>3 ([6,3,2,1,1,1],6)=>3 ([5,3,1,1,1,1,1],6)=>2 ([6,2,2,1,1,1,1,1],6)=>3 ([5,3,3,2],6)=>2 ([4,4,3,1,1],6)=>2 ([5,4,2,2,1],6)=>4 ([4,4,2,1,1,1],6)=>2 ([4,4,1,1,1,1,1],6)=>2 ([5,2,2,2,2],6)=>2 ([5,3,2,2,1,1],6)=>4 ([4,3,3,1,1,1,1],6)=>3 ([4,3,2,1,1,1,1,1],6)=>3 ([5,2,2,2,1,1,1,1,1],6)=>3 ([4,3,2,2,2,1],6)=>3 ([3,3,3,2,1,1,1],6)=>2 ([3,3,3,1,1,1,1,1],6)=>2 ([3,3,2,2,1,1,1,1,1],6)=>2 ([4,2,2,2,2,1,1,1,1,1],6)=>3 ([3,2,2,2,2,2,1,1,1,1,1],6)=>2 ([],7)=>1 ([1],7)=>2 ([2],7)=>2 ([1,1],7)=>2 ([3],7)=>2 ([2,1],7)=>3 ([1,1,1],7)=>2 ([4],7)=>2 ([3,1],7)=>3 ([2,2],7)=>2 ([2,1,1],7)=>3 ([1,1,1,1],7)=>2 ([5],7)=>2 ([4,1],7)=>3 ([3,2],7)=>3 ([3,1,1],7)=>3 ([2,2,1],7)=>3 ([2,1,1,1],7)=>3 ([1,1,1,1,1],7)=>2 ([6],7)=>1 ([5,1],7)=>2 ([4,2],7)=>3 ([4,1,1],7)=>2 ([3,3],7)=>2 ([3,2,1],7)=>4 ([3,1,1,1],7)=>2 ([2,2,2],7)=>2 ([2,2,1,1],7)=>3 ([2,1,1,1,1],7)=>2 ([1,1,1,1,1,1],7)=>1 ([7,1],7)=>2 ([5,2],7)=>2 ([6,1,1],7)=>3 ([4,3],7)=>3 ([4,2,1],7)=>3 ([5,1,1,1],7)=>3 ([3,3,1],7)=>3 ([3,2,2],7)=>3 ([3,2,1,1],7)=>3 ([4,1,1,1,1],7)=>3 ([2,2,2,1],7)=>3 ([2,2,1,1,1],7)=>2 ([3,1,1,1,1,1],7)=>3 ([2,1,1,1,1,1,1],7)=>2 ([8,2],7)=>2 ([7,1,1],7)=>2 ([5,3],7)=>2 ([6,2,1],7)=>3 ([6,1,1,1],7)=>3 ([4,4],7)=>2 ([4,3,1],7)=>3 ([4,2,2],7)=>2 ([5,2,1,1],7)=>4 ([5,1,1,1,1],7)=>3 ([3,3,2],7)=>3 ([3,3,1,1],7)=>2 ([3,2,2,1],7)=>3 ([4,2,1,1,1],7)=>4 ([4,1,1,1,1,1],7)=>3 ([2,2,2,2],7)=>2 ([2,2,2,1,1],7)=>2 ([3,2,1,1,1,1],7)=>3 ([3,1,1,1,1,1,1],7)=>2 ([2,2,1,1,1,1,1,1],7)=>2 ([9,3],7)=>2 ([8,2,1],7)=>3 ([7,1,1,1],7)=>2 ([5,4],7)=>2 ([6,3,1],7)=>3 ([7,2,2],7)=>3 ([6,2,1,1],7)=>3 ([6,1,1,1,1],7)=>3 ([4,4,1],7)=>2 ([4,3,2],7)=>3 ([5,3,1,1],7)=>4 ([5,2,2,1],7)=>3 ([5,2,1,1,1],7)=>4 ([5,1,1,1,1,1],7)=>3 ([3,3,3],7)=>2 ([3,3,2,1],7)=>3 ([4,3,1,1,1],7)=>3 ([3,2,2,2],7)=>2 ([4,2,2,1,1],7)=>4 ([4,2,1,1,1,1],7)=>3 ([4,1,1,1,1,1,1],7)=>2 ([2,2,2,2,1],7)=>2 ([3,2,2,1,1,1],7)=>3 ([3,3,1,1,1,1,1],7)=>3 ([3,2,1,1,1,1,1,1],7)=>3 ([2,2,2,1,1,1,1,1,1],7)=>2 ([10,4],7)=>2 ([9,3,1],7)=>3 ([8,2,2],7)=>2 ([8,2,1,1],7)=>3 ([7,1,1,1,1],7)=>2 ([5,5],7)=>1 ([6,4,1],7)=>3 ([7,3,2],7)=>3 ([6,3,1,1],7)=>3 ([7,2,2,1],7)=>4 ([6,2,1,1,1],7)=>3 ([6,1,1,1,1,1],7)=>3 ([4,4,2],7)=>2 ([5,4,1,1],7)=>3 ([4,3,3],7)=>2 ([5,3,2,1],7)=>4 ([5,3,1,1,1],7)=>3 ([6,2,2,2],7)=>3 ([5,2,2,1,1],7)=>3 ([5,2,1,1,1,1],7)=>3 ([5,1,1,1,1,1,1],7)=>2 ([3,3,3,1],7)=>2 ([3,3,2,2],7)=>2 ([4,3,2,1,1],7)=>4 ([4,4,1,1,1,1],7)=>3 ([4,2,2,2,1],7)=>3 ([4,2,2,1,1,1],7)=>3 ([4,3,1,1,1,1,1],7)=>4 ([4,2,1,1,1,1,1,1],7)=>3 ([2,2,2,2,2],7)=>1 ([3,2,2,2,1,1],7)=>3 ([3,3,2,1,1,1,1],7)=>3 ([3,3,1,1,1,1,1,1],7)=>2 ([3,2,2,1,1,1,1,1,1],7)=>3 ([2,2,2,2,1,1,1,1,1,1],7)=>2 ([11,5],7)=>2 ([10,4,1],7)=>3 ([9,3,2],7)=>3 ([9,3,1,1],7)=>3 ([8,2,2,1],7)=>3 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([4,2,2,1,1],9)=>3 ([5,2,1,1,1,1],9)=>4 ([5,1,1,1,1,1,1],9)=>3 ([3,3,3,1],9)=>3 ([3,3,2,2],9)=>3 ([3,3,2,1,1],9)=>4 ([3,3,1,1,1,1],9)=>2 ([3,2,2,2,1],9)=>4 ([3,2,2,1,1,1],9)=>3 ([4,2,1,1,1,1,1],9)=>4 ([4,1,1,1,1,1,1,1],9)=>3 ([2,2,2,2,2],9)=>2 ([2,2,2,2,1,1],9)=>3 ([2,2,2,1,1,1,1],9)=>2 ([3,2,1,1,1,1,1,1],9)=>3 ([3,1,1,1,1,1,1,1,1],9)=>2 ([2,2,1,1,1,1,1,1,1,1],9)=>2 ([11,3],9)=>2 ([10,2,1],9)=>3 ([9,1,1,1],9)=>2 ([7,4],9)=>2 ([8,3,1],9)=>3 ([9,2,2],9)=>3 ([8,2,1,1],9)=>3 ([8,1,1,1,1],9)=>3 ([6,5],9)=>3 ([6,4,1],9)=>3 ([6,3,2],9)=>3 ([7,3,1,1],9)=>4 ([7,2,2,1],9)=>3 ([7,2,1,1,1],9)=>4 ([7,1,1,1,1,1],9)=>3 ([5,5,1],9)=>3 ([5,4,2],9)=>4 ([5,4,1,1],9)=>3 ([5,3,3],9)=>3 ([5,3,2,1],9)=>4 ([6,3,1,1,1],9)=>4 ([5,2,2,2],9)=>2 ([6,2,2,1,1],9)=>4 ([6,2,1,1,1,1],9)=>4 ([6,1,1,1,1,1,1],9)=>3 ([4,4,3],9)=>3 ([4,4,2,1],9)=>4 ([4,4,1,1,1],9)=>2 ([4,3,3,1],9)=>4 ([4,3,2,2],9)=>4 ([4,3,2,1,1],9)=>4 ([5,3,1,1,1,1],9)=>4 ([4,2,2,2,1],9)=>3 ([5,2,2,1,1,1],9)=>4 ([5,2,1,1,1,1,1],9)=>4 ([5,1,1,1,1,1,1,1],9)=>3 ([3,3,3,2],9)=>3 ([3,3,3,1,1],9)=>3 ([3,3,2,2,1],9)=>4 ([3,3,2,1,1,1],9)=>3 ([4,3,1,1,1,1,1],9)=>3 ([3,2,2,2,2],9)=>3 ([3,2,2,2,1,1],9)=>3 ([4,2,2,1,1,1,1],9)=>4 ([4,2,1,1,1,1,1,1],9)=>3 ([4,1,1,1,1,1,1,1,1],9)=>2 ([2,2,2,2,2,1],9)=>3 ([2,2,2,2,1,1,1],9)=>2 ([3,2,2,1,1,1,1,1],9)=>3 ([3,3,1,1,1,1,1,1,1],9)=>3 ([3,2,1,1,1,1,1,1,1,1],9)=>3 ([2,2,2,1,1,1,1,1,1,1,1],9)=>2 ([],10)=>1 ([1],10)=>2 ([2],10)=>2 ([1,1],10)=>2 ([3],10)=>2 ([2,1],10)=>3 ([1,1,1],10)=>2 ([4],10)=>2 ([3,1],10)=>3 ([2,2],10)=>2 ([2,1,1],10)=>3 ([1,1,1,1],10)=>2 ([5],10)=>2 ([4,1],10)=>3 ([3,2],10)=>3 ([3,1,1],10)=>3 ([2,2,1],10)=>3 ([2,1,1,1],10)=>3 ([1,1,1,1,1],10)=>2 ([6],10)=>2 ([5,1],10)=>3 ([4,2],10)=>3 ([4,1,1],10)=>3 ([3,3],10)=>2 ([3,2,1],10)=>4 ([3,1,1,1],10)=>3 ([2,2,2],10)=>2 ([2,2,1,1],10)=>3 ([2,1,1,1,1],10)=>3 ([1,1,1,1,1,1],10)=>2 ([7],10)=>2 ([6,1],10)=>3 ([5,2],10)=>3 ([5,1,1],10)=>3 ([4,3],10)=>3 ([4,2,1],10)=>4 ([4,1,1,1],10)=>3 ([3,3,1],10)=>3 ([3,2,2],10)=>3 ([3,2,1,1],10)=>4 ([3,1,1,1,1],10)=>3 ([2,2,2,1],10)=>3 ([2,2,1,1,1],10)=>3 ([2,1,1,1,1,1],10)=>3 ([1,1,1,1,1,1,1],10)=>2 ([8],10)=>2 ([7,1],10)=>3 ([6,2],10)=>3 ([6,1,1],10)=>3 ([5,3],10)=>3 ([5,2,1],10)=>4 ([5,1,1,1],10)=>3 ([4,4],10)=>2 ([4,3,1],10)=>4 ([4,2,2],10)=>3 ([4,2,1,1],10)=>4 ([4,1,1,1,1],10)=>3 ([3,3,2],10)=>3 ([3,3,1,1],10)=>3 ([3,2,2,1],10)=>4 ([3,2,1,1,1],10)=>4 ([3,1,1,1,1,1],10)=>3 ([2,2,2,2],10)=>2 ([2,2,2,1,1],10)=>3 ([2,2,1,1,1,1],10)=>3 ([2,1,1,1,1,1,1],10)=>3 ([1,1,1,1,1,1,1,1],10)=>2 ([9],10)=>1 ([8,1],10)=>2 ([7,2],10)=>3 ([7,1,1],10)=>2 ([6,3],10)=>3 ([6,2,1],10)=>4 ([6,1,1,1],10)=>2 ([5,4],10)=>3 ([5,3,1],10)=>4 ([5,2,2],10)=>3 ([5,2,1,1],10)=>4 ([5,1,1,1,1],10)=>2 ([4,4,1],10)=>3 ([4,3,2],10)=>4 ([4,3,1,1],10)=>4 ([4,2,2,1],10)=>4 ([4,2,1,1,1],10)=>4 ([4,1,1,1,1,1],10)=>2 ([3,3,3],10)=>2 ([3,3,2,1],10)=>4 ([3,3,1,1,1],10)=>3 ([3,2,2,2],10)=>3 ([3,2,2,1,1],10)=>4 ([3,2,1,1,1,1],10)=>4 ([3,1,1,1,1,1,1],10)=>2 ([2,2,2,2,1],10)=>3 ([2,2,2,1,1,1],10)=>3 ([2,2,1,1,1,1,1],10)=>3 ([2,1,1,1,1,1,1,1],10)=>2 ([1,1,1,1,1,1,1,1,1],10)=>1 ([10,1],10)=>2 ([8,2],10)=>2 ([9,1,1],10)=>3 ([7,3],10)=>3 ([7,2,1],10)=>3 ([8,1,1,1],10)=>3 ([6,4],10)=>3 ([6,3,1],10)=>4 ([6,2,2],10)=>3 ([6,2,1,1],10)=>3 ([7,1,1,1,1],10)=>3 ([5,5],10)=>2 ([5,4,1],10)=>4 ([5,3,2],10)=>4 ([5,3,1,1],10)=>4 ([5,2,2,1],10)=>4 ([5,2,1,1,1],10)=>3 ([6,1,1,1,1,1],10)=>3 ([4,4,2],10)=>3 ([4,4,1,1],10)=>3 ([4,3,3],10)=>3 ([4,3,2,1],10)=>5 ([4,3,1,1,1],10)=>4 ([4,2,2,2],10)=>3 ([4,2,2,1,1],10)=>4 ([4,2,1,1,1,1],10)=>3 ([5,1,1,1,1,1,1],10)=>3 ([3,3,3,1],10)=>3 ([3,3,2,2],10)=>3 ([3,3,2,1,1],10)=>4 ([3,3,1,1,1,1],10)=>3 ([3,2,2,2,1],10)=>4 ([3,2,2,1,1,1],10)=>4 ([3,2,1,1,1,1,1],10)=>3 ([4,1,1,1,1,1,1,1],10)=>3 ([2,2,2,2,2],10)=>2 ([2,2,2,2,1,1],10)=>3 ([2,2,2,1,1,1,1],10)=>3 ([2,2,1,1,1,1,1,1],10)=>2 ([3,1,1,1,1,1,1,1,1],10)=>3 ([2,1,1,1,1,1,1,1,1,1],10)=>2 ([11,2],10)=>2 ([10,1,1],10)=>2 ([8,3],10)=>2 ([9,2,1],10)=>3 ([9,1,1,1],10)=>3 ([7,4],10)=>3 ([7,3,1],10)=>3 ([7,2,2],10)=>2 ([8,2,1,1],10)=>4 ([8,1,1,1,1],10)=>3 ([6,5],10)=>3 ([6,4,1],10)=>4 ([6,3,2],10)=>4 ([6,3,1,1],10)=>3 ([6,2,2,1],10)=>3 ([7,2,1,1,1],10)=>4 ([7,1,1,1,1,1],10)=>3 ([5,5,1],10)=>3 ([5,4,2],10)=>4 ([5,4,1,1],10)=>4 ([5,3,3],10)=>3 ([5,3,2,1],10)=>5 ([5,3,1,1,1],10)=>3 ([5,2,2,2],10)=>3 ([5,2,2,1,1],10)=>3 ([6,2,1,1,1,1],10)=>4 ([6,1,1,1,1,1,1],10)=>3 ([4,4,3],10)=>3 ([4,4,2,1],10)=>4 ([4,4,1,1,1],10)=>3 ([4,3,3,1],10)=>4 ([4,3,2,2],10)=>4 ([4,3,2,1,1],10)=>5 ([4,3,1,1,1,1],10)=>3 ([4,2,2,2,1],10)=>4 ([4,2,2,1,1,1],10)=>3 ([5,2,1,1,1,1,1],10)=>4 ([5,1,1,1,1,1,1,1],10)=>3 ([3,3,3,2],10)=>3 ([3,3,3,1,1],10)=>3 ([3,3,2,2,1],10)=>4 ([3,3,2,1,1,1],10)=>4 ([3,3,1,1,1,1,1],10)=>2 ([3,2,2,2,2],10)=>3 ([3,2,2,2,1,1],10)=>4 ([3,2,2,1,1,1,1],10)=>3 ([4,2,1,1,1,1,1,1],10)=>4 ([4,1,1,1,1,1,1,1,1],10)=>3 ([2,2,2,2,2,1],10)=>3 ([2,2,2,2,1,1,1],10)=>3 ([2,2,2,1,1,1,1,1],10)=>2 ([3,2,1,1,1,1,1,1,1],10)=>3 ([3,1,1,1,1,1,1,1,1,1],10)=>2 ([2,2,1,1,1,1,1,1,1,1,1],10)=>2
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Description
Number of covers of a core in weak Bruhat order.
For k-cores, $\lambda$ covers $\mu$ if there exists an affine Grassmannian element $s_i$ such that the left action $s_i \cdot \mu = \lambda$.
References
[1] Lam, T., Lapointe, L., Morse, J., Schilling, A., Shimozono, M., Zabrocki, M. $k$-Schur functions and affine Schubert calculus arXiv:1301.3569
Code
def statistic(C):
    return len(C.weak_covers())
Created
May 13, 2014 at 21:21 by Patrick Bjerke
Updated
May 29, 2015 at 17:12 by Martin Rubey