n=8
Generating knot:
3,2 1,-2, (3,2 1,2-) (820)
Family:
(2k+1),(2l) 1,-(2l), k ³
l
Alexander polynomial:
åi=22l([(i2)/2]
- i/2)(-t)i
- 2 + åi=0l(-1
- i2 + l + 3 l2)(-t)3l - i
- 1] for k=l;
åi=22l([(i2)/2]
- i/2)(-t)i
- 2 + åi=02l-1(i/2
- [(i2)/2] - 2 l + 4 l2)(-t)4l
- i - 1
+ åi=1k
- 2l + 1(-1 - 2 l + 4l2) (-t)4l
+ i - 1] for k
³ 2l.
åi=22l([(i2)/2]
- i/2)(-t)i
- 2 + åi=02l-k(-1
- i2 - 3 k - k2 + 4 l + 4 k l)(-t)k
+ 2l - i - 1
+ åi=4l-2k2l-1(i/2
- [(i2)/2] - 2 l +4l2) (-t)4l
- 2 - i] for 2l > k.
Unknotting number: k
Signature: 2k-4l+2
  
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