Identifier
Values
([],1) => [2] => [1,1] => 110 => 2
([],2) => [2,2] => [2,2] => 1100 => 2
([(0,1)],2) => [3] => [1,1,1] => 1110 => 3
([],3) => [2,2,2,2] => [4,4] => 110000 => 2
([(1,2)],3) => [6] => [1,1,1,1,1,1] => 1111110 => 6
([(0,1),(0,2)],3) => [3,2] => [2,2,1] => 11010 => 3
([(0,2),(2,1)],3) => [4] => [1,1,1,1] => 11110 => 4
([(0,2),(1,2)],3) => [3,2] => [2,2,1] => 11010 => 3
([(2,3)],4) => [6,6] => [2,2,2,2,2,2] => 11111100 => 6
([(1,2),(1,3)],4) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,1),(0,2),(0,3)],4) => [3,2,2,2] => [4,4,1] => 1100010 => 3
([(0,2),(0,3),(3,1)],4) => [7] => [1,1,1,1,1,1,1] => 11111110 => 7
([(0,1),(0,2),(1,3),(2,3)],4) => [4,2] => [2,2,1,1] => 110110 => 4
([(1,2),(2,3)],4) => [4,4] => [2,2,2,2] => 111100 => 4
([(0,3),(3,1),(3,2)],4) => [4,2] => [2,2,1,1] => 110110 => 4
([(1,3),(2,3)],4) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,3),(1,3),(3,2)],4) => [4,2] => [2,2,1,1] => 110110 => 4
([(0,3),(1,3),(2,3)],4) => [3,2,2,2] => [4,4,1] => 1100010 => 3
([(0,3),(1,2)],4) => [3,3,3] => [3,3,3] => 111000 => 3
([(0,3),(1,2),(1,3)],4) => [5,3] => [2,2,2,1,1] => 1110110 => 5
([(0,2),(0,3),(1,2),(1,3)],4) => [3,2,2] => [3,3,1] => 110010 => 3
([(0,3),(2,1),(3,2)],4) => [5] => [1,1,1,1,1] => 111110 => 5
([(0,3),(1,2),(2,3)],4) => [7] => [1,1,1,1,1,1,1] => 11111110 => 7
([(0,2),(0,3),(0,4),(4,1)],5) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => [4,2,2,2] => [4,4,1,1] => 11000110 => 4
([(1,2),(1,3),(2,4),(3,4)],5) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => [5,2] => [2,2,1,1,1] => 1101110 => 5
([(0,3),(0,4),(3,2),(4,1)],5) => [4,3,3] => [3,3,3,1] => 1110010 => 4
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) => [5,4] => [2,2,2,2,1] => 1111010 => 5
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => [4,2,2] => [3,3,1,1] => 1100110 => 4
([(2,3),(3,4)],5) => [4,4,4,4] => [4,4,4,4] => 11110000 => 4
([(1,4),(4,2),(4,3)],5) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,4),(4,1),(4,2),(4,3)],5) => [4,2,2,2] => [4,4,1,1] => 11000110 => 4
([(1,4),(2,4),(4,3)],5) => [4,4,2,2] => [4,4,2,2] => 11001100 => 4
([(0,4),(1,4),(4,2),(4,3)],5) => [4,2,2] => [3,3,1,1] => 1100110 => 4
([(0,4),(1,4),(2,4),(4,3)],5) => [4,2,2,2] => [4,4,1,1] => 11000110 => 4
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [5,3,2,2] => [4,4,2,1,1] => 110010110 => 5
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => [3,2,2,2,2] => [5,5,1] => 11000010 => 3
([(0,4),(1,4),(2,3),(4,2)],5) => [5,2] => [2,2,1,1,1] => 1101110 => 5
([(0,4),(1,4),(2,3),(3,4)],5) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(1,4),(2,3)],5) => [6,6,6] => [3,3,3,3,3,3] => 111111000 => 6
([(0,4),(1,2),(1,4),(2,3)],5) => [8,3] => [2,2,2,1,1,1,1,1] => 1110111110 => 8
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) => [5,4] => [2,2,2,2,1] => 1111010 => 5
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => [7,2] => [2,2,1,1,1,1,1] => 110111110 => 7
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => [4,2,2] => [3,3,1,1] => 1100110 => 4
([(0,4),(1,2),(1,4),(4,3)],5) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 10
([(0,2),(0,4),(3,1),(4,3)],5) => [5,4] => [2,2,2,2,1] => 1111010 => 5
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 8
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [5,3,2,2] => [4,4,2,1,1] => 110010110 => 5
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => [3,2,2,2,2] => [5,5,1] => 11000010 => 3
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 10
([(0,3),(1,2),(1,4),(3,4)],5) => [8,3] => [2,2,2,1,1,1,1,1] => 1110111110 => 8
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => [7,2] => [2,2,1,1,1,1,1] => 110111110 => 7
([(1,4),(3,2),(4,3)],5) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 10
([(0,3),(3,4),(4,1),(4,2)],5) => [5,2] => [2,2,1,1,1] => 1101110 => 5
([(0,4),(1,2),(2,4),(4,3)],5) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 8
([(0,4),(3,2),(4,1),(4,3)],5) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 8
([(0,4),(1,2),(2,3),(2,4)],5) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 10
([(0,4),(2,3),(3,1),(4,2)],5) => [6] => [1,1,1,1,1,1] => 1111110 => 6
([(0,3),(1,2),(2,4),(3,4)],5) => [4,3,3] => [3,3,3,1] => 1110010 => 4
([(0,4),(1,2),(2,3),(3,4)],5) => [5,4] => [2,2,2,2,1] => 1111010 => 5
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => [5,2] => [2,2,1,1,1] => 1101110 => 5
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => [5,2,2,2] => [4,4,1,1,1] => 110001110 => 5
([(0,1),(0,2),(0,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,1),(4,5)],6) => [6,5,4] => [3,3,3,3,2,1] => 111101010 => 6
([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => [5,2,2] => [3,3,1,1,1] => 11001110 => 5
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => [8,2] => [2,2,1,1,1,1,1,1] => 1101111110 => 8
([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [5,2,2] => [3,3,1,1,1] => 11001110 => 5
([(0,3),(0,4),(3,5),(4,1),(4,2),(4,5)],6) => [6,5,4] => [3,3,3,3,2,1] => 111101010 => 6
([(0,2),(0,3),(2,4),(2,5),(3,1),(3,4),(3,5)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => [5,2,2,2] => [4,4,1,1,1] => 110001110 => 5
([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => [5,2,2,2] => [4,4,1,1,1] => 110001110 => 5
([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => [8,2] => [2,2,1,1,1,1,1,1] => 1101111110 => 8
([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6) => [6,5,4] => [3,3,3,3,2,1] => 111101010 => 6
([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => [5,2,2] => [3,3,1,1,1] => 11001110 => 5
([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6) => [5,3,3] => [3,3,3,1,1] => 11100110 => 5
([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => [6,2] => [2,2,1,1,1,1] => 11011110 => 6
([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => [5,2,2,2] => [4,4,1,1,1] => 110001110 => 5
([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => [5,2,2] => [3,3,1,1,1] => 11001110 => 5
([(0,4),(1,2),(1,4),(2,3),(2,5),(4,5)],6) => [6,4,3] => [3,3,3,2,1,1] => 111010110 => 6
([(0,5),(1,2),(1,5),(2,3),(2,4),(5,3),(5,4)],6) => [5,4,2] => [3,3,2,2,1] => 11011010 => 5
([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 5
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2)],6) => [4,3,3,2] => [4,4,3,1] => 11010010 => 4
([(0,4),(0,5),(1,4),(1,5),(4,3),(5,2),(5,3)],6) => [5,4,2] => [3,3,2,2,1] => 11011010 => 5
([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => [4,2,2,2] => [4,4,1,1] => 11000110 => 4
([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => [5,4,2] => [3,3,2,2,1] => 11011010 => 5
([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => [5,2,2] => [3,3,1,1,1] => 11001110 => 5
([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => [8,2] => [2,2,1,1,1,1,1,1] => 1101111110 => 8
([(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [6,5,4] => [3,3,3,3,2,1] => 111101010 => 6
([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 5
([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 1111111110 => 9
([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => [6,4] => [2,2,2,2,1,1] => 11110110 => 6
([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => [6,2] => [2,2,1,1,1,1] => 11011110 => 6
([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => [5,4,2,2] => [4,4,2,2,1] => 110011010 => 5
>>> Load all 216 entries. <<<
([(0,4),(0,5),(1,2),(1,4),(2,5),(4,3)],6) => [6,4,3] => [3,3,3,2,1,1] => 111010110 => 6
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => [8,2] => [2,2,1,1,1,1,1,1] => 1101111110 => 8
([(0,4),(1,3),(1,5),(4,5),(5,2)],6) => [5,5,3] => [3,3,3,2,2] => 11101100 => 5
([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => [8,2] => [2,2,1,1,1,1,1,1] => 1101111110 => 8
([(0,3),(1,2),(1,4),(2,5),(3,4),(3,5)],6) => [6,4,3] => [3,3,3,2,1,1] => 111010110 => 6
([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => [8,2] => [2,2,1,1,1,1,1,1] => 1101111110 => 8
([(0,5),(1,4),(4,2),(4,5),(5,3)],6) => [6,6] => [2,2,2,2,2,2] => 11111100 => 6
([(1,5),(3,4),(4,2),(5,3)],6) => [6,6] => [2,2,2,2,2,2] => 11111100 => 6
([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => [6,2] => [2,2,1,1,1,1] => 11011110 => 6
([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => [5,3,3] => [3,3,3,1,1] => 11100110 => 5
([(0,5),(1,4),(4,2),(5,3)],6) => [4,4,4,4] => [4,4,4,4] => 11110000 => 4
([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => [6,4] => [2,2,2,2,1,1] => 11110110 => 6
([(0,3),(1,2),(2,4),(2,5),(3,4),(3,5)],6) => [4,3,3,2] => [4,4,3,1] => 11010010 => 4
([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => [6,2] => [2,2,1,1,1,1] => 11011110 => 6
([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => [6,4] => [2,2,2,2,1,1] => 11110110 => 6
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5)],6) => [5,5,3,2,2] => [5,5,3,2,2] => 1100101100 => 5
([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => [5,4,2] => [3,3,2,2,1] => 11011010 => 5
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => [5,2,2] => [3,3,1,1,1] => 11001110 => 5
([(0,4),(2,5),(3,1),(3,5),(4,2),(4,3)],6) => [5,5] => [2,2,2,2,2] => 1111100 => 5
([(0,5),(3,2),(4,1),(5,3),(5,4)],6) => [5,3,3] => [3,3,3,1,1] => 11100110 => 5
([(0,5),(1,4),(3,2),(4,3),(4,5)],6) => [5,5,3] => [3,3,3,2,2] => 11101100 => 5
([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 1111111110 => 9
([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => [7] => [1,1,1,1,1,1,1] => 11111110 => 7
([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 1111111110 => 9
([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => [6,2] => [2,2,1,1,1,1] => 11011110 => 6
([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => [9] => [1,1,1,1,1,1,1,1,1] => 1111111110 => 9
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(3,6)],7) => [5,5,4,2,2] => [5,5,3,3,2] => 1100110100 => 5
([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6),(6,1)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,3),(0,4),(3,5),(3,6),(4,5),(4,6),(5,2),(6,1)],7) => [5,3,3,2] => [4,4,3,1,1] => 110100110 => 5
([(0,2),(0,3),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1),(6,5)],7) => [5,5,2] => [3,3,2,2,2] => 11011100 => 5
([(0,1),(0,2),(1,5),(1,6),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4)],7) => [5,2,2,2] => [4,4,1,1,1] => 110001110 => 5
([(0,4),(0,5),(1,6),(4,6),(5,1),(6,2),(6,3)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(5,4),(6,3)],7) => [4,3,3,2,2,2] => [6,6,3,1] => 1100010010 => 4
([(0,6),(1,6),(4,3),(5,2),(5,4),(6,5)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,6),(1,6),(2,5),(3,5),(4,2),(4,3),(6,4)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,6),(1,6),(4,2),(5,4),(6,3),(6,5)],7) => [6,4,2] => [3,3,2,2,1,1] => 110110110 => 6
([(0,6),(1,6),(4,5),(5,2),(5,3),(6,4)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,4),(1,6),(2,6),(4,5),(5,1),(5,2),(6,3)],7) => [7,2] => [2,2,1,1,1,1,1] => 110111110 => 7
([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => [7,2] => [2,2,1,1,1,1,1] => 110111110 => 7
([(0,6),(1,6),(2,5),(3,5),(5,4),(6,2),(6,3)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,6),(1,6),(4,3),(5,2),(6,4),(6,5)],7) => [5,3,3,2] => [4,4,3,1,1] => 110100110 => 5
([(0,6),(1,6),(2,5),(3,4),(6,3),(6,5)],7) => [5,5,3,2,2] => [5,5,3,2,2] => 1100101100 => 5
([(0,6),(1,6),(3,5),(4,2),(4,5),(6,3),(6,4)],7) => [5,5,2] => [3,3,2,2,2] => 11011100 => 5
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5),(6,2),(6,3)],7) => [5,2,2,2] => [4,4,1,1,1] => 110001110 => 5
([(0,5),(0,6),(1,5),(1,6),(2,4),(3,4),(5,3),(6,2)],7) => [5,3,3,2] => [4,4,3,1,1] => 110100110 => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,3),(5,4),(6,2),(6,4)],7) => [5,5,2] => [3,3,2,2,2] => 11011100 => 5
([(0,5),(0,6),(1,5),(1,6),(3,2),(4,2),(5,3),(5,4),(6,3),(6,4)],7) => [5,2,2,2] => [4,4,1,1,1] => 110001110 => 5
([(0,6),(1,6),(2,5),(3,5),(4,3),(6,2),(6,4)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,6),(1,2),(2,6),(3,5),(4,5),(6,3),(6,4)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,5),(1,4),(1,5),(4,6),(5,6),(6,2),(6,3)],7) => [5,5,2] => [3,3,2,2,2] => 11011100 => 5
([(0,5),(0,6),(1,5),(1,6),(4,2),(4,3),(5,4),(6,4)],7) => [5,2,2,2] => [4,4,1,1,1] => 110001110 => 5
([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1)],7) => [5,3,3,2] => [4,4,3,1,1] => 110100110 => 5
([(0,5),(0,6),(1,5),(1,6),(2,3),(4,2),(5,4),(6,4)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,5),(0,6),(1,5),(1,6),(3,4),(4,2),(5,3),(6,4)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,5),(0,6),(1,5),(1,6),(2,3),(3,4),(5,2),(6,4)],7) => [6,4,2] => [3,3,2,2,1,1] => 110110110 => 6
([(0,3),(1,2),(1,5),(1,6),(3,5),(3,6),(5,4),(6,4)],7) => [5,5,3,2,2] => [5,5,3,2,2] => 1100101100 => 5
([(0,2),(0,3),(1,5),(1,6),(2,4),(3,1),(3,4),(4,5),(4,6)],7) => [5,5,2] => [3,3,2,2,2] => 11011100 => 5
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7) => [6,5] => [2,2,2,2,2,1] => 11111010 => 6
([(0,3),(0,5),(3,6),(4,1),(4,6),(5,4),(6,2)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,3),(0,4),(2,6),(3,5),(3,6),(4,2),(4,5),(6,1)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,3),(0,5),(1,6),(3,6),(4,1),(5,4),(6,2)],7) => [7,4] => [2,2,2,2,1,1,1] => 111101110 => 7
([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3)],7) => [6,4,2] => [3,3,2,2,1,1] => 110110110 => 6
([(0,2),(0,5),(2,6),(3,4),(4,1),(4,6),(5,3)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,6),(1,2),(1,3),(2,5),(2,6),(3,5),(3,6),(5,4)],7) => [5,5,3,2,2] => [5,5,3,2,2] => 1100101100 => 5
([(0,2),(0,3),(2,6),(3,6),(4,1),(5,4),(6,5)],7) => [7,2] => [2,2,1,1,1,1,1] => 110111110 => 7
([(0,3),(0,4),(3,6),(4,6),(5,1),(6,2),(6,5)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(6,4)],7) => [6,4,2] => [3,3,2,2,1,1] => 110110110 => 6
([(0,2),(0,3),(1,5),(2,4),(2,6),(3,4),(3,6),(4,5),(6,1)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,3),(0,5),(3,6),(4,2),(5,1),(5,6),(6,4)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7) => [6,3,3] => [3,3,3,1,1,1] => 111001110 => 6
([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(4,6),(5,6)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,2),(0,4),(1,5),(2,5),(2,6),(3,1),(3,6),(4,3)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,3),(0,4),(3,6),(4,6),(5,1),(5,2),(6,5)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,5),(1,4),(1,6),(5,6),(6,2),(6,3)],7) => [5,5,3,2,2] => [5,5,3,2,2] => 1100101100 => 5
([(0,3),(1,5),(1,6),(2,6),(3,2),(3,5),(5,4),(6,4)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7) => [6,5] => [2,2,2,2,2,1] => 11111010 => 6
([(0,2),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7) => [6,4,2] => [3,3,2,2,1,1] => 110110110 => 6
([(0,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(6,1)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2),(4,6),(5,6)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,5),(1,6),(2,6),(5,1),(5,2),(6,3),(6,4)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,5),(1,4),(4,6),(5,6),(6,2),(6,3)],7) => [5,3,3,2] => [4,4,3,1,1] => 110100110 => 5
([(0,3),(1,2),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7) => [5,3,3,2] => [4,4,3,1,1] => 110100110 => 5
([(0,3),(1,2),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7) => [4,3,3,2,2,2] => [6,6,3,1] => 1100010010 => 4
([(0,5),(1,6),(2,6),(4,2),(5,1),(5,4),(6,3)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 10
([(0,6),(1,5),(2,6),(5,2),(6,3),(6,4)],7) => [6,4,2] => [3,3,2,2,1,1] => 110110110 => 6
([(0,6),(1,2),(1,6),(2,4),(2,5),(4,3),(5,3),(6,4),(6,5)],7) => [5,5,2] => [3,3,2,2,2] => 11011100 => 5
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7) => [5,5,4,2,2] => [5,5,3,3,2] => 1100110100 => 5
([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7) => [6,5] => [2,2,2,2,2,1] => 11111010 => 6
([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,3),(0,5),(2,6),(3,6),(4,1),(5,2),(6,4)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 10
([(0,3),(0,6),(1,4),(1,6),(2,5),(3,4),(4,2),(6,5)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,3),(1,5),(1,6),(3,5),(3,6),(4,2),(5,4),(6,4)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2)],7) => [6,2,2] => [3,3,1,1,1,1] => 110011110 => 6
([(0,4),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3)],7) => [6,5] => [2,2,2,2,2,1] => 11111010 => 6
([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,6),(1,4),(4,6),(5,2),(5,3),(6,5)],7) => [9,2] => [2,2,1,1,1,1,1,1,1] => 11011111110 => 9
([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => [7,2] => [2,2,1,1,1,1,1] => 110111110 => 7
([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => [7,4] => [2,2,2,2,1,1,1] => 111101110 => 7
([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,6),(1,3),(4,5),(5,2),(6,4)],7) => [6,6,6] => [3,3,3,3,3,3] => 111111000 => 6
([(0,5),(3,2),(4,1),(5,6),(6,3),(6,4)],7) => [6,3,3] => [3,3,3,1,1,1] => 111001110 => 6
([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 10
([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => [8] => [1,1,1,1,1,1,1,1] => 111111110 => 8
([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 10
([(0,4),(1,6),(2,6),(3,2),(4,5),(5,1),(5,3)],7) => [10] => [1,1,1,1,1,1,1,1,1,1] => 11111111110 => 10
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7) => [6,3,3] => [3,3,3,1,1,1] => 111001110 => 6
([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => [6,3,3] => [3,3,3,1,1,1] => 111001110 => 6
([(0,5),(2,6),(3,6),(4,1),(5,2),(5,3),(6,4)],7) => [7,2] => [2,2,1,1,1,1,1] => 110111110 => 7
([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => [7,4] => [2,2,2,2,1,1,1] => 111101110 => 7
([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => [7,6] => [2,2,2,2,2,2,1] => 111111010 => 7
([(0,4),(1,6),(2,6),(3,5),(4,3),(5,1),(5,2)],7) => [7,2] => [2,2,1,1,1,1,1] => 110111110 => 7
([(0,5),(1,6),(2,6),(3,4),(4,2),(5,1),(5,3)],7) => [7,4] => [2,2,2,2,1,1,1] => 111101110 => 7
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Description
The number of ones in a binary word.
This is also known as the Hamming weight of the word.
Map
to binary word
Description
Return the partition as binary word, by traversing its shape from the first row to the last row, down steps as 1 and left steps as 0.
Map
rowmotion cycle type
Description
The cycle type of rowmotion on the order ideals of a poset.
Map
conjugate
Description
Return the conjugate partition of the partition.
The conjugate partition of the partition $\lambda$ of $n$ is the partition $\lambda^*$ whose Ferrers diagram is obtained from the diagram of $\lambda$ by interchanging rows with columns.
This is also called the associated partition or the transpose in the literature.