
n=8
Generating link:
3 1,2,2 (823)
Family:
(2k+1) 1,(2l),(2l), k ³
l
Number of components: 3
Alexander polynomial:
1+åi=12l([(i2)/2]+[3i/2]+1)(-t)i+(2l2+5l+1)(-t)2l+1
+å2l(2l2+3l+2+2li-i2)(-t)i+2l+1]
for k=l;
1+åi=12l([(i2)/2]+[3i/2]+1)(-t)i+åi=02l-2(2l2+5l+1+2li-i/2-[(i2)/2])(-t)i+2l+1
+(4l2+4l)åi=2k-2l+2(-t)i+4l-2]
for k ¹ l and k+1 ³
2l;
1+åi=12l([(i2)/2]+[3i/2]+1)(-t)i+(2l2+5l+1)(-t)2l+1+
åi=12k-2l(1
- i/2 - [(i2)/2] + 5 l + 2 i l+ 2 l2)(-t)2l
+ 1 + i
+ åi=02l
- k - 2(2 - i2 + k - k2 +
2 l + 4 kl)(-t)2l + k - i]
for k ¹ l
and k+1 < 2l;
Unlinking number: 2l+k+1
Signature: 2k-4l+2
  
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