Knot Theory Homework

Number of summands	Partition of 8	Assigned to
8	1 1 1 1 1 1 1 1	Kate
7	2 1 1 1 1 1 1	1
	1 2 1 1 1 1 1	2
	1 1 2 1 1 1 1	3
	1 1 1 2 1 1 1	4
	1 1 1 1 2 1 1	5
	1 1 1 1 1 2 1	6
	1 1 1 1 1 1 2	7
6	1 2 2 1 1 1	1
	1 2 1 2 1 1	2
	1 2 1 1 2 1	3
	1 2 1 1 1 2	4
	1 1 1 2 2 1	5
	1 1 1 2 1 2	6
	1 1 1 1 2 2	7
	2 2 1 1 1 1	1
	2 1 2 1 1 1	2
	2 1 1 2 1 1	3
	2 1 1 1 1 2	4
	2 1 1 1 2 1	5
	3 1 1 1 1 1	6
	1 3 1 1 1 1	7
	1 1 3 1 1 1	1
	1 1 1 3 1 1	2
	1 1 1 1 3 1	3
	1 1 1 1 1 3	4
	1 1 2 2 1 1	5
	1 1 2 1 2 1	6
	1 1 2 1 1 2	7
5	4 1 1 1 1	1
	1 4 1 1 1	2
	1 1 4 1 1	3
	1 1 1 4 1	4
	1 1 1 1 4	5
	2 2 2 1 1	6
	2 2 1 2 1	7
	2 2 1 1 2	1
	2 1 2 2 1	2
	2 1 2 1 2	3
	2 1 1 2 2	4
	1 2 2 2 1	5
	1 2 2 1 2	6
	1 2 1 2 2	7
	1 1 2 2 2	1
	3 2 1 1 1	2
	3 1 2 1 1	3
	3 1 1 2 1	4
	3 1 1 1 2	5
	1 3 1 1 2	6
	1 3 1 2 1	7
	1 3 2 1 1	1
	2 3 1 1 1	2
	1 1 3 1 2	3
	1 1 3 2 1	4
	1 2 3 1 1	5
	2 1 3 1 1	6
	1 1 1 3 2	7
	1 1 2 3 1	1
	1 2 1 3 1	2
	2 1 1 3 1	3
	1 1 1 2 3	4
	1 1 2 1 3	5
	1 2 1 1 3	6
	2 1 1 1 3	7
4	2 2 2 2	1
	3 2 2 1	2
	1 3 2 2	3
	2 1 3 2	4
	2 2 1 3	5
	2 3 2 1	6
	1 2 3 2	7
	2 1 2 3	1
	3 2 1 2	2
	2 2 3 1	3
	1 2 2 3	4
	3 1 2 2	5
	2 3 1 2	6
	4 2 1 1	7
	4 1 2 1	1
	4 1 1 2	2
	2 4 1 1	3
	2 1 4 1	4
	2 1 1 4	5
	1 2 1 4	6
	1 1 2 4	7
	1 1 4 2	1
	1 4 1 2	2
	1 4 2 1	3
	1 2 4 1	4
	5 1 1 1	5
	1 5 1 1	6
	1 1 5 1	7
	1 1 1 5	1
	3 3 1 1	2
	3 1 3 1	3
	3 1 1 3	4
	1 1 3 3	5
	1 3 1 3	6
	1 3 3 1	7
3	3 1 4	1
	4 1 3	2
	2 5 1	3
	5 1 2	4
	1 5 2	5
	1 3 4	6
	1 2 5	7
	2 1 5	1
	5 2 1	2
	1 4 3	3
	3 4 1	4
	4 3 1	5
	2 3 3	6
	3 2 3	7
	3 3 2	1
	4 2 2	2
	2 4 2	3
	2 2 4	4
	6 1 1	5
	1 6 1	6
	1 1 6	7
2	1 7	1
	2 6	2
	3 5	3
	4 4	4
	5 3	5
	6 2	6
	7 1	7
1	8	Kate