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Identifier
Values
=>
Cc0013;cc-rep
([2],3)=>2 ([1,1],3)=>2 ([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)=>2 ([2,1],4)=>4 ([1,1,1],4)=>2 ([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)=>2 ([3,1,1],3)=>3 ([2,2,1,1],3)=>2 ([4,1],4)=>2 ([2,2],4)=>3 ([3,1,1],4)=>3 ([2,1,1,1],4)=>2 ([4],5)=>2 ([3,1],5)=>4 ([2,2],5)=>2 ([2,1,1],5)=>4 ([1,1,1,1],5)=>2 ([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)=>3 ([3,2,1],4)=>4 ([3,1,1,1],4)=>3 ([2,2,1,1,1],4)=>2 ([5,1],5)=>2 ([3,2],5)=>4 ([4,1,1],5)=>3 ([2,2,1],5)=>4 ([3,1,1,1],5)=>3 ([2,1,1,1,1],5)=>2 ([5],6)=>2 ([4,1],6)=>4 ([3,2],6)=>3 ([3,1,1],6)=>4 ([2,2,1],6)=>3 ([2,1,1,1],6)=>4 ([1,1,1,1,1],6)=>2 ([6,4,2],3)=>2 ([5,3,1,1],3)=>3 ([4,2,2,1,1],3)=>3 ([3,3,2,2,1,1],3)=>2 ([6,3],4)=>2 ([5,2,1],4)=>4 ([4,1,1,1],4)=>4 ([4,2,2],4)=>3 ([3,3,1,1],4)=>3 ([3,2,1,1,1],4)=>4 ([2,2,2,1,1,1],4)=>2 ([6,2],5)=>2 ([5,1,1],5)=>3 ([3,3],5)=>3 ([4,2,1],5)=>4 ([4,1,1,1],5)=>3 ([2,2,2],5)=>3 ([3,2,1,1],5)=>4 ([3,1,1,1,1],5)=>3 ([2,2,1,1,1,1],5)=>2 ([6,1],6)=>2 ([4,2],6)=>4 ([5,1,1],6)=>3 ([3,3],6)=>2 ([3,2,1],6)=>5 ([4,1,1,1],6)=>3 ([2,2,2],6)=>2 ([2,2,1,1],6)=>4 ([3,1,1,1,1],6)=>3 ([2,1,1,1,1,1],6)=>2 ([7,2],6)=>2 ([6,1,1],6)=>3 ([4,3],6)=>4 ([5,2,1],6)=>4 ([5,1,1,1],6)=>3 ([3,3,1],6)=>4 ([3,2,2],6)=>4 ([4,2,1,1],6)=>4 ([4,1,1,1,1],6)=>3 ([2,2,2,1],6)=>4 ([3,2,1,1,1],6)=>4 ([3,1,1,1,1,1],6)=>3 ([2,2,1,1,1,1,1],6)=>2 ([2,1],2)=>1 ([2],7)=>2 ([1,1],7)=>2 ([2],8)=>2 ([1,1],8)=>2 ([2],9)=>2 ([1,1],9)=>2 ([2],10)=>2 ([1,1],10)=>2 ([2],11)=>2 ([1,1],11)=>2 ([2],12)=>2 ([1,1],12)=>2 ([2],13)=>2 ([1,1],13)=>2 ([2],14)=>2 ([1,1],14)=>2 ([2],15)=>2 ([1,1],15)=>2 ([3,2,1],2)=>1 ([3],7)=>2 ([2,1],7)=>3 ([1,1,1],7)=>2 ([3],8)=>2 ([2,1],8)=>3 ([1,1,1],8)=>2 ([3],9)=>2 ([2,1],9)=>3 ([1,1,1],9)=>2 ([3],10)=>2 ([2,1],10)=>3 ([1,1,1],10)=>2 ([3],11)=>2 ([2,1],11)=>3 ([1,1,1],11)=>2 ([3],12)=>2 ([2,1],12)=>3 ([1,1,1],12)=>2 ([3],13)=>2 ([2,1],13)=>3 ([1,1,1],13)=>2 ([3],14)=>2 ([2,1],14)=>3 ([1,1,1],14)=>2 ([3],15)=>2 ([2,1],15)=>3 ([1,1,1],15)=>2 ([4,3,2,1],2)=>1 ([4],7)=>2 ([3,1],7)=>3 ([2,2],7)=>2 ([2,1,1],7)=>3 ([1,1,1,1],7)=>2 ([4],8)=>2 ([3,1],8)=>3 ([2,2],8)=>2 ([2,1,1],8)=>3 ([1,1,1,1],8)=>2 ([4],9)=>2 ([3,1],9)=>3 ([2,2],9)=>2 ([2,1,1],9)=>3 ([1,1,1,1],9)=>2 ([4],10)=>2 ([3,1],10)=>3 ([2,2],10)=>2 ([2,1,1],10)=>3 ([1,1,1,1],10)=>2 ([4],11)=>2 ([3,1],11)=>3 ([2,2],11)=>2 ([2,1,1],11)=>3 ([1,1,1,1],11)=>2 ([4],12)=>2 ([3,1],12)=>3 ([2,2],12)=>2 ([2,1,1],12)=>3 ([1,1,1,1],12)=>2 ([4],13)=>2 ([3,1],13)=>3 ([2,2],13)=>2 ([2,1,1],13)=>3 ([1,1,1,1],13)=>2 ([4],14)=>2 ([3,1],14)=>3 ([2,2],14)=>2 ([2,1,1],14)=>3 ([1,1,1,1],14)=>2 ([4],15)=>2 ([3,1],15)=>3 ([2,2],15)=>2 ([2,1,1],15)=>3 ([1,1,1,1],15)=>2 ([5,4,3,2,1],2)=>1 ([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 ([5],8)=>2 ([4,1],8)=>3 ([3,2],8)=>3 ([3,1,1],8)=>3 ([2,2,1],8)=>3 ([2,1,1,1],8)=>3 ([1,1,1,1,1],8)=>2 ([5],9)=>2 ([4,1],9)=>3 ([3,2],9)=>3 ([3,1,1],9)=>3 ([2,2,1],9)=>3 ([2,1,1,1],9)=>3 ([1,1,1,1,1],9)=>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 ([5],11)=>2 ([4,1],11)=>3 ([3,2],11)=>3 ([3,1,1],11)=>3 ([2,2,1],11)=>3 ([2,1,1,1],11)=>3 ([1,1,1,1,1],11)=>2 ([5],12)=>2 ([4,1],12)=>3 ([3,2],12)=>3 ([3,1,1],12)=>3 ([2,2,1],12)=>3 ([2,1,1,1],12)=>3 ([1,1,1,1,1],12)=>2 ([5],13)=>2 ([4,1],13)=>3 ([3,2],13)=>3 ([3,1,1],13)=>3 ([2,2,1],13)=>3 ([2,1,1,1],13)=>3 ([1,1,1,1,1],13)=>2 ([5],14)=>2 ([4,1],14)=>3 ([3,2],14)=>3 ([3,1,1],14)=>3 ([2,2,1],14)=>3 ([2,1,1,1],14)=>3 ([1,1,1,1,1],14)=>2 ([5],15)=>2 ([4,1],15)=>3 ([3,2],15)=>3 ([3,1,1],15)=>3 ([2,2,1],15)=>3 ([2,1,1,1],15)=>3 ([1,1,1,1,1],15)=>2 ([6,5,4,3,2,1],2)=>1 ([6],7)=>2 ([5,1],7)=>4 ([4,2],7)=>3 ([4,1,1],7)=>4 ([3,3],7)=>2 ([3,2,1],7)=>4 ([3,1,1,1],7)=>4 ([2,2,2],7)=>2 ([2,2,1,1],7)=>3 ([2,1,1,1,1],7)=>4 ([1,1,1,1,1,1],7)=>2 ([6],8)=>2 ([5,1],8)=>3 ([4,2],8)=>3 ([4,1,1],8)=>3 ([3,3],8)=>2 ([3,2,1],8)=>4 ([3,1,1,1],8)=>3 ([2,2,2],8)=>2 ([2,2,1,1],8)=>3 ([2,1,1,1,1],8)=>3 ([1,1,1,1,1,1],8)=>2 ([6],9)=>2 ([5,1],9)=>3 ([4,2],9)=>3 ([4,1,1],9)=>3 ([3,3],9)=>2 ([3,2,1],9)=>4 ([3,1,1,1],9)=>3 ([2,2,2],9)=>2 ([2,2,1,1],9)=>3 ([2,1,1,1,1],9)=>3 ([1,1,1,1,1,1],9)=>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 ([6],11)=>2 ([5,1],11)=>3 ([4,2],11)=>3 ([4,1,1],11)=>3 ([3,3],11)=>2 ([3,2,1],11)=>4 ([3,1,1,1],11)=>3 ([2,2,2],11)=>2 ([2,2,1,1],11)=>3 ([2,1,1,1,1],11)=>3 ([1,1,1,1,1,1],11)=>2 ([6],12)=>2 ([5,1],12)=>3 ([4,2],12)=>3 ([4,1,1],12)=>3 ([3,3],12)=>2 ([3,2,1],12)=>4 ([3,1,1,1],12)=>3 ([2,2,2],12)=>2 ([2,2,1,1],12)=>3 ([2,1,1,1,1],12)=>3 ([1,1,1,1,1,1],12)=>2 ([6],13)=>2 ([5,1],13)=>3 ([4,2],13)=>3 ([4,1,1],13)=>3 ([3,3],13)=>2 ([3,2,1],13)=>4 ([3,1,1,1],13)=>3 ([2,2,2],13)=>2 ([2,2,1,1],13)=>3 ([2,1,1,1,1],13)=>3 ([1,1,1,1,1,1],13)=>2 ([6],14)=>2 ([5,1],14)=>3 ([4,2],14)=>3 ([4,1,1],14)=>3 ([3,3],14)=>2 ([3,2,1],14)=>4 ([3,1,1,1],14)=>3 ([2,2,2],14)=>2 ([2,2,1,1],14)=>3 ([2,1,1,1,1],14)=>3 ([1,1,1,1,1,1],14)=>2 ([6],15)=>2 ([5,1],15)=>3 ([4,2],15)=>3 ([4,1,1],15)=>3 ([3,3],15)=>2 ([3,2,1],15)=>4 ([3,1,1,1],15)=>3 ([2,2,2],15)=>2 ([2,2,1,1],15)=>3 ([2,1,1,1,1],15)=>3 ([1,1,1,1,1,1],15)=>2 ([7,6,5,4,3,2,1],2)=>1 ([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 ([7,4,1],4)=>2 ([5,2,2],4)=>4 ([6,3,1,1],4)=>3 ([5,2,1,1,1],4)=>3 ([4,3,2,1],4)=>4 ([3,3,1,1,1],4)=>4 ([4,2,2,1,1,1],4)=>3 ([3,2,2,2,1,1,1],4)=>2 ([7,3],5)=>2 ([6,2,1],5)=>3 ([5,1,1,1],5)=>3 ([4,3,1],5)=>4 ([5,2,2],5)=>3 ([4,2,1,1],5)=>6 ([4,1,1,1,1],5)=>3 ([3,2,2,1],5)=>4 ([3,3,1,1,1],5)=>3 ([3,2,1,1,1,1],5)=>3 ([2,2,2,1,1,1,1],5)=>2 ([7,1],7)=>2 ([5,2],7)=>4 ([6,1,1],7)=>3 ([4,3],7)=>3 ([4,2,1],7)=>5 ([5,1,1,1],7)=>3 ([3,3,1],7)=>3 ([3,2,2],7)=>3 ([3,2,1,1],7)=>5 ([4,1,1,1,1],7)=>3 ([2,2,2,1],7)=>3 ([2,2,1,1,1],7)=>4 ([3,1,1,1,1,1],7)=>3 ([2,1,1,1,1,1,1],7)=>2 ([7],8)=>2 ([6,1],8)=>4 ([5,2],8)=>3 ([5,1,1],8)=>4 ([4,3],8)=>3 ([4,2,1],8)=>4 ([4,1,1,1],8)=>4 ([3,3,1],8)=>3 ([3,2,2],8)=>3 ([3,2,1,1],8)=>4 ([3,1,1,1,1],8)=>4 ([2,2,2,1],8)=>3 ([2,2,1,1,1],8)=>3 ([2,1,1,1,1,1],8)=>4 ([1,1,1,1,1,1,1],8)=>2 ([7],9)=>2 ([6,1],9)=>3 ([5,2],9)=>3 ([5,1,1],9)=>3 ([4,3],9)=>3 ([4,2,1],9)=>4 ([4,1,1,1],9)=>3 ([3,3,1],9)=>3 ([3,2,2],9)=>3 ([3,2,1,1],9)=>4 ([3,1,1,1,1],9)=>3 ([2,2,2,1],9)=>3 ([2,2,1,1,1],9)=>3 ([2,1,1,1,1,1],9)=>3 ([1,1,1,1,1,1,1],9)=>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 ([7],11)=>2 ([6,1],11)=>3 ([5,2],11)=>3 ([5,1,1],11)=>3 ([4,3],11)=>3 ([4,2,1],11)=>4 ([4,1,1,1],11)=>3 ([3,3,1],11)=>3 ([3,2,2],11)=>3 ([3,2,1,1],11)=>4 ([3,1,1,1,1],11)=>3 ([2,2,2,1],11)=>3 ([2,2,1,1,1],11)=>3 ([2,1,1,1,1,1],11)=>3 ([1,1,1,1,1,1,1],11)=>2 ([7],12)=>2 ([6,1],12)=>3 ([5,2],12)=>3 ([5,1,1],12)=>3 ([4,3],12)=>3 ([4,2,1],12)=>4 ([4,1,1,1],12)=>3 ([3,3,1],12)=>3 ([3,2,2],12)=>3 ([3,2,1,1],12)=>4 ([3,1,1,1,1],12)=>3 ([2,2,2,1],12)=>3 ([2,2,1,1,1],12)=>3 ([2,1,1,1,1,1],12)=>3 ([1,1,1,1,1,1,1],12)=>2 ([7],13)=>2 ([6,1],13)=>3 ([5,2],13)=>3 ([5,1,1],13)=>3 ([4,3],13)=>3 ([4,2,1],13)=>4 ([4,1,1,1],13)=>3 ([3,3,1],13)=>3 ([3,2,2],13)=>3 ([3,2,1,1],13)=>4 ([3,1,1,1,1],13)=>3 ([2,2,2,1],13)=>3 ([2,2,1,1,1],13)=>3 ([2,1,1,1,1,1],13)=>3 ([1,1,1,1,1,1,1],13)=>2 ([7],14)=>2 ([6,1],14)=>3 ([5,2],14)=>3 ([5,1,1],14)=>3 ([4,3],14)=>3 ([4,2,1],14)=>4 ([4,1,1,1],14)=>3 ([3,3,1],14)=>3 ([3,2,2],14)=>3 ([3,2,1,1],14)=>4 ([3,1,1,1,1],14)=>3 ([2,2,2,1],14)=>3 ([2,2,1,1,1],14)=>3 ([2,1,1,1,1,1],14)=>3 ([1,1,1,1,1,1,1],14)=>2 ([7],15)=>2 ([6,1],15)=>3 ([5,2],15)=>3 ([5,1,1],15)=>3 ([4,3],15)=>3 ([4,2,1],15)=>4 ([4,1,1,1],15)=>3 ([3,3,1],15)=>3 ([3,2,2],15)=>3 ([3,2,1,1],15)=>4 ([3,1,1,1,1],15)=>3 ([2,2,2,1],15)=>3 ([2,2,1,1,1],15)=>3 ([2,1,1,1,1,1],15)=>3 ([1,1,1,1,1,1,1],15)=>2 ([8,7,6,5,4,3,2,1],2)=>1 ([8,6,4,2],3)=>2 ([7,5,3,1,1],3)=>3 ([6,4,2,2,1,1],3)=>3 ([5,3,3,2,2,1,1],3)=>3 ([4,4,3,3,2,2,1,1],3)=>2 ([8,5,2],4)=>2 ([7,4,1,1],4)=>3 ([6,3,2,1],4)=>4 ([6,3,1,1,1],4)=>3 ([5,2,2,1,1,1],4)=>3 ([4,4,2,2],4)=>3 ([5,3,3,1,1],4)=>3 ([4,3,2,1,1,1],4)=>4 ([4,2,2,2,1,1,1],4)=>3 ([3,3,2,2,2,1,1,1],4)=>2 ([8,4],5)=>2 ([7,3,1],5)=>4 ([6,2,2],5)=>3 ([6,2,1,1],5)=>4 ([5,1,1,1,1],5)=>4 ([5,3,2],5)=>4 ([4,4,1,1],5)=>3 ([5,2,2,1],5)=>5 ([4,3,1,1,1],5)=>5 ([4,2,1,1,1,1],5)=>4 ([4,2,2,2],5)=>3 ([3,3,2,1,1],5)=>4 ([3,3,1,1,1,1],5)=>3 ([3,2,2,1,1,1,1],5)=>4 ([2,2,2,2,1,1,1,1],5)=>2 ([8,3],6)=>2 ([7,2,1],6)=>3 ([6,1,1,1],6)=>3 ([4,4],6)=>3 ([5,3,1],6)=>4 ([6,2,2],6)=>3 ([5,2,1,1],6)=>5 ([5,1,1,1,1],6)=>3 ([3,3,2],6)=>4 ([4,3,1,1],6)=>4 ([4,2,2,1],6)=>4 ([4,2,1,1,1],6)=>5 ([4,1,1,1,1,1],6)=>3 ([2,2,2,2],6)=>3 ([3,2,2,1,1],6)=>4 ([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 ([8,2],7)=>2 ([7,1,1],7)=>3 ([5,3],7)=>4 ([6,2,1],7)=>4 ([6,1,1,1],7)=>3 ([4,4],7)=>2 ([4,3,1],7)=>5 ([4,2,2],7)=>4 ([5,2,1,1],7)=>4 ([5,1,1,1,1],7)=>3 ([3,3,2],7)=>3 ([3,3,1,1],7)=>4 ([3,2,2,1],7)=>5 ([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)=>4 ([3,2,1,1,1,1],7)=>4 ([3,1,1,1,1,1,1],7)=>3 ([2,2,1,1,1,1,1,1],7)=>2 ([8,1],8)=>2 ([6,2],8)=>4 ([7,1,1],8)=>3 ([5,3],8)=>3 ([5,2,1],8)=>5 ([6,1,1,1],8)=>3 ([4,4],8)=>2 ([4,3,1],8)=>4 ([4,2,2],8)=>3 ([4,2,1,1],8)=>5 ([5,1,1,1,1],8)=>3 ([3,3,2],8)=>3 ([3,3,1,1],8)=>3 ([3,2,2,1],8)=>4 ([3,2,1,1,1],8)=>5 ([4,1,1,1,1,1],8)=>3 ([2,2,2,2],8)=>2 ([2,2,2,1,1],8)=>3 ([2,2,1,1,1,1],8)=>4 ([3,1,1,1,1,1,1],8)=>3 ([2,1,1,1,1,1,1,1],8)=>2 ([8],9)=>2 ([7,1],9)=>4 ([6,2],9)=>3 ([6,1,1],9)=>4 ([5,3],9)=>3 ([5,2,1],9)=>4 ([5,1,1,1],9)=>4 ([4,4],9)=>2 ([4,3,1],9)=>4 ([4,2,2],9)=>3 ([4,2,1,1],9)=>4 ([4,1,1,1,1],9)=>4 ([3,3,2],9)=>3 ([3,3,1,1],9)=>3 ([3,2,2,1],9)=>4 ([3,2,1,1,1],9)=>4 ([3,1,1,1,1,1],9)=>4 ([2,2,2,2],9)=>2 ([2,2,2,1,1],9)=>3 ([2,2,1,1,1,1],9)=>3 ([2,1,1,1,1,1,1],9)=>4 ([1,1,1,1,1,1,1,1],9)=>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 ([8],11)=>2 ([7,1],11)=>3 ([6,2],11)=>3 ([6,1,1],11)=>3 ([5,3],11)=>3 ([5,2,1],11)=>4 ([5,1,1,1],11)=>3 ([4,4],11)=>2 ([4,3,1],11)=>4 ([4,2,2],11)=>3 ([4,2,1,1],11)=>4 ([4,1,1,1,1],11)=>3 ([3,3,2],11)=>3 ([3,3,1,1],11)=>3 ([3,2,2,1],11)=>4 ([3,2,1,1,1],11)=>4 ([3,1,1,1,1,1],11)=>3 ([2,2,2,2],11)=>2 ([2,2,2,1,1],11)=>3 ([2,2,1,1,1,1],11)=>3 ([2,1,1,1,1,1,1],11)=>3 ([1,1,1,1,1,1,1,1],11)=>2 ([8],12)=>2 ([7,1],12)=>3 ([6,2],12)=>3 ([6,1,1],12)=>3 ([5,3],12)=>3 ([5,2,1],12)=>4 ([5,1,1,1],12)=>3 ([4,4],12)=>2 ([4,3,1],12)=>4 ([4,2,2],12)=>3 ([4,2,1,1],12)=>4 ([4,1,1,1,1],12)=>3 ([3,3,2],12)=>3 ([3,3,1,1],12)=>3 ([3,2,2,1],12)=>4 ([3,2,1,1,1],12)=>4 ([3,1,1,1,1,1],12)=>3 ([2,2,2,2],12)=>2 ([2,2,2,1,1],12)=>3 ([2,2,1,1,1,1],12)=>3 ([2,1,1,1,1,1,1],12)=>3 ([1,1,1,1,1,1,1,1],12)=>2 ([8],13)=>2 ([7,1],13)=>3 ([6,2],13)=>3 ([6,1,1],13)=>3 ([5,3],13)=>3 ([5,2,1],13)=>4 ([5,1,1,1],13)=>3 ([4,4],13)=>2 ([4,3,1],13)=>4 ([4,2,2],13)=>3 ([4,2,1,1],13)=>4 ([4,1,1,1,1],13)=>3 ([3,3,2],13)=>3 ([3,3,1,1],13)=>3 ([3,2,2,1],13)=>4 ([3,2,1,1,1],13)=>4 ([3,1,1,1,1,1],13)=>3 ([2,2,2,2],13)=>2 ([2,2,2,1,1],13)=>3 ([2,2,1,1,1,1],13)=>3 ([2,1,1,1,1,1,1],13)=>3 ([1,1,1,1,1,1,1,1],13)=>2 ([8],14)=>2 ([7,1],14)=>3 ([6,2],14)=>3 ([6,1,1],14)=>3 ([5,3],14)=>3 ([5,2,1],14)=>4 ([5,1,1,1],14)=>3 ([4,4],14)=>2 ([4,3,1],14)=>4 ([4,2,2],14)=>3 ([4,2,1,1],14)=>4 ([4,1,1,1,1],14)=>3 ([3,3,2],14)=>3 ([3,3,1,1],14)=>3 ([3,2,2,1],14)=>4 ([3,2,1,1,1],14)=>4 ([3,1,1,1,1,1],14)=>3 ([2,2,2,2],14)=>2 ([2,2,2,1,1],14)=>3 ([2,2,1,1,1,1],14)=>3 ([2,1,1,1,1,1,1],14)=>3 ([1,1,1,1,1,1,1,1],14)=>2 ([8],15)=>2 ([7,1],15)=>3 ([6,2],15)=>3 ([6,1,1],15)=>3 ([5,3],15)=>3 ([5,2,1],15)=>4 ([5,1,1,1],15)=>3 ([4,4],15)=>2 ([4,3,1],15)=>4 ([4,2,2],15)=>3 ([4,2,1,1],15)=>4 ([4,1,1,1,1],15)=>3 ([3,3,2],15)=>3 ([3,3,1,1],15)=>3 ([3,2,2,1],15)=>4 ([3,2,1,1,1],15)=>4 ([3,1,1,1,1,1],15)=>3 ([2,2,2,2],15)=>2 ([2,2,2,1,1],15)=>3 ([2,2,1,1,1,1],15)=>3 ([2,1,1,1,1,1,1],15)=>3 ([1,1,1,1,1,1,1,1],15)=>2 ([9,8,7,6,5,4,3,2,1],2)=>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 ([9,6,3],4)=>2 ([8,5,2,1],4)=>4 ([7,4,1,1,1],4)=>4 ([7,4,2,2],4)=>3 ([6,3,3,1,1],4)=>4 ([6,3,2,1,1,1],4)=>4 ([5,2,2,2,1,1,1],4)=>4 ([5,4,3,2,1],4)=>4 ([5,3,3,1,1,1],4)=>4 ([4,4,2,2,1,1,1],4)=>3 ([4,3,2,2,2,1,1,1],4)=>4 ([3,3,3,2,2,2,1,1,1],4)=>2 ([9,5,1],5)=>2 ([7,3,2],5)=>4 ([8,4,1,1],5)=>3 ([6,2,2,1],5)=>6 ([7,3,1,1,1],5)=>3 ([6,2,1,1,1,1],5)=>3 ([6,3,3],5)=>3 ([5,4,2,1],5)=>4 ([4,4,1,1,1],5)=>4 ([5,2,2,2],5)=>4 ([5,3,2,1,1],5)=>5 ([4,3,1,1,1,1],5)=>6 ([5,2,2,1,1,1,1],5)=>3 ([4,3,2,2,1],5)=>4 ([3,3,3,1,1,1],5)=>3 ([3,3,2,1,1,1,1],5)=>4 ([4,2,2,2,1,1,1,1],5)=>3 ([3,2,2,2,2,1,1,1,1],5)=>2 ([9,4],6)=>2 ([8,3,1],6)=>3 ([7,2,2],6)=>3 ([7,2,1,1],6)=>3 ([6,1,1,1,1],6)=>3 ([5,4,1],6)=>4 ([6,3,2],6)=>4 ([5,3,1,1],6)=>6 ([6,2,2,1],6)=>4 ([5,2,1,1,1],6)=>6 ([5,1,1,1,1,1],6)=>3 ([3,3,3],6)=>3 ([4,3,2,1],6)=>5 ([4,4,1,1,1],6)=>3 ([5,2,2,2],6)=>3 ([4,2,2,1,1],6)=>6 ([4,3,1,1,1,1],6)=>4 ([4,2,1,1,1,1,1],6)=>3 ([3,2,2,2,1],6)=>4 ([3,3,2,1,1,1],6)=>4 ([3,3,1,1,1,1,1],6)=>3 ([3,2,2,1,1,1,1,1],6)=>3 ([2,2,2,2,1,1,1,1,1],6)=>2 ([9,3],7)=>2 ([8,2,1],7)=>3 ([7,1,1,1],7)=>3 ([5,4],7)=>4 ([6,3,1],7)=>4 ([7,2,2],7)=>3 ([6,2,1,1],7)=>5 ([6,1,1,1,1],7)=>3 ([4,4,1],7)=>4 ([4,3,2],7)=>5 ([5,3,1,1],7)=>4 ([5,2,2,1],7)=>4 ([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)=>5 ([4,3,1,1,1],7)=>4 ([3,2,2,2],7)=>4 ([4,2,2,1,1],7)=>4 ([4,2,1,1,1,1],7)=>5 ([4,1,1,1,1,1,1],7)=>3 ([2,2,2,2,1],7)=>4 ([3,2,2,1,1,1],7)=>4 ([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 ([9,2],8)=>2 ([8,1,1],8)=>3 ([6,3],8)=>4 ([7,2,1],8)=>4 ([7,1,1,1],8)=>3 ([5,4],8)=>3 ([5,3,1],8)=>5 ([5,2,2],8)=>4 ([6,2,1,1],8)=>4 ([6,1,1,1,1],8)=>3 ([4,4,1],8)=>3 ([4,3,2],8)=>4 ([4,3,1,1],8)=>5 ([4,2,2,1],8)=>5 ([5,2,1,1,1],8)=>4 ([5,1,1,1,1,1],8)=>3 ([3,3,3],8)=>2 ([3,3,2,1],8)=>4 ([3,3,1,1,1],8)=>4 ([3,2,2,2],8)=>3 ([3,2,2,1,1],8)=>5 ([4,2,1,1,1,1],8)=>4 ([4,1,1,1,1,1,1],8)=>3 ([2,2,2,2,1],8)=>3 ([2,2,2,1,1,1],8)=>4 ([3,2,1,1,1,1,1],8)=>4 ([3,1,1,1,1,1,1,1],8)=>3 ([2,2,1,1,1,1,1,1,1],8)=>2 ([9,1],9)=>2 ([7,2],9)=>4 ([8,1,1],9)=>3 ([6,3],9)=>3 ([6,2,1],9)=>5 ([7,1,1,1],9)=>3 ([5,4],9)=>3 ([5,3,1],9)=>4 ([5,2,2],9)=>3 ([5,2,1,1],9)=>5 ([6,1,1,1,1],9)=>3 ([4,4,1],9)=>3 ([4,3,2],9)=>4 ([4,3,1,1],9)=>4 ([4,2,2,1],9)=>4 ([4,2,1,1,1],9)=>5 ([5,1,1,1,1,1],9)=>3 ([3,3,3],9)=>2 ([3,3,2,1],9)=>4 ([3,3,1,1,1],9)=>3 ([3,2,2,2],9)=>3 ([3,2,2,1,1],9)=>4 ([3,2,1,1,1,1],9)=>5 ([4,1,1,1,1,1,1],9)=>3 ([2,2,2,2,1],9)=>3 ([2,2,2,1,1,1],9)=>3 ([2,2,1,1,1,1,1],9)=>4 ([3,1,1,1,1,1,1,1],9)=>3 ([2,1,1,1,1,1,1,1,1],9)=>2 ([9],10)=>2 ([8,1],10)=>4 ([7,2],10)=>3 ([7,1,1],10)=>4 ([6,3],10)=>3 ([6,2,1],10)=>4 ([6,1,1,1],10)=>4 ([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)=>4 ([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)=>4 ([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)=>4 ([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)=>4 ([1,1,1,1,1,1,1,1,1],10)=>2 ([9],11)=>2 ([8,1],11)=>3 ([7,2],11)=>3 ([7,1,1],11)=>3 ([6,3],11)=>3 ([6,2,1],11)=>4 ([6,1,1,1],11)=>3 ([5,4],11)=>3 ([5,3,1],11)=>4 ([5,2,2],11)=>3 ([5,2,1,1],11)=>4 ([5,1,1,1,1],11)=>3 ([4,4,1],11)=>3 ([4,3,2],11)=>4 ([4,3,1,1],11)=>4 ([4,2,2,1],11)=>4 ([4,2,1,1,1],11)=>4 ([4,1,1,1,1,1],11)=>3 ([3,3,3],11)=>2 ([3,3,2,1],11)=>4 ([3,3,1,1,1],11)=>3 ([3,2,2,2],11)=>3 ([3,2,2,1,1],11)=>4 ([3,2,1,1,1,1],11)=>4 ([3,1,1,1,1,1,1],11)=>3 ([2,2,2,2,1],11)=>3 ([2,2,2,1,1,1],11)=>3 ([2,2,1,1,1,1,1],11)=>3 ([2,1,1,1,1,1,1,1],11)=>3 ([1,1,1,1,1,1,1,1,1],11)=>2 ([9],12)=>2 ([8,1],12)=>3 ([7,2],12)=>3 ([7,1,1],12)=>3 ([6,3],12)=>3 ([6,2,1],12)=>4 ([6,1,1,1],12)=>3 ([5,4],12)=>3 ([5,3,1],12)=>4 ([5,2,2],12)=>3 ([5,2,1,1],12)=>4 ([5,1,1,1,1],12)=>3 ([4,4,1],12)=>3 ([4,3,2],12)=>4 ([4,3,1,1],12)=>4 ([4,2,2,1],12)=>4 ([4,2,1,1,1],12)=>4 ([4,1,1,1,1,1],12)=>3 ([3,3,3],12)=>2 ([3,3,2,1],12)=>4 ([3,3,1,1,1],12)=>3 ([3,2,2,2],12)=>3 ([3,2,2,1,1],12)=>4 ([3,2,1,1,1,1],12)=>4 ([3,1,1,1,1,1,1],12)=>3 ([2,2,2,2,1],12)=>3 ([2,2,2,1,1,1],12)=>3 ([2,2,1,1,1,1,1],12)=>3 ([2,1,1,1,1,1,1,1],12)=>3 ([1,1,1,1,1,1,1,1,1],12)=>2 ([9],13)=>2 ([8,1],13)=>3 ([7,2],13)=>3 ([7,1,1],13)=>3 ([6,3],13)=>3 ([6,2,1],13)=>4 ([6,1,1,1],13)=>3 ([5,4],13)=>3
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Description
The number of strong covers of a core.
A strong cover has a length of one more than the core being covered and contains the core that is being covered.
The length of a $k$-core is the number of elements in that core which have a hook length of less than $k$. Alternatively the length of a core is the size of it's associated $k-1$-bounded partition.
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.strong_covers())
Created
May 13, 2014 at 20:36 by Jon Allen
Updated
Dec 29, 2016 at 09:05 by Christian Stump