n=8
Generating knot:
3,2 1,2 (810)
Family:
(2k+1),(2l) 1,(2l), k ³
l
Alexander polynomial:
1 + åi=12l([(i2)/2]+[3i/2]
+1)(-t)i + åi=12l-1(i/2
- [(i2)/2] + 5l + 2l2 + 1 - 3l + 2l2)(-t)4l
- i
+ åi=1k
- 2l + 1(1 + 2l + 4l2)(-t)4l
- 1 + i] for k+1
³ 2l;
1 + åi=12l([(i2)/2]+[3i/2]
+1)(-t)i + åi=1l-1(2
i - i2 - k - k2 + 4 l + 4 kl)(-t)k
+ 2l + 1 - i
+ åi=3l
- k - 12l-1(1
+ i/2 - [(i2)/2] + 2l + 4 l2)(-t)4l
- i] otherwise.
Unknotting number: k+1
Signature: 2k
  
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