Knots and Their Polynomials-8
Knots and Their Polynomials
The calculation of the Jones polynomial of the right trefoil
- [t]=- t1/2 - t-1/2. (Step 3)
- [t] =t3/2 - t1/2 + t2 [t] (Step 2)
= t3/2 - t1/2 + t2 (- t1/2 - t-1/2)
= -t5/2 - t1/2.
- [t] =(t3/2 - t1/2)[t] + t2 (Step 1)= (t3/2 - t1/2)(- t5/2 - t1/2) +t2
= -t4 + t3 + t.
This completes the calculation.
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