- Step 1: from the right trefoil to the right link
- Step 2: from the right link to two unlinked unknots
## Step 3: the Jones polynomial of two unlinked unknots

- Step 4: working backwards to the answer

To calculate the Jones polynomial of the two unlinked unknots, we apply the skein relation to the twisted unknot:

Since both diagrams on the left come from topological unknots, their Jones polynomials areequal to 1, and the left-hand side reduces to *t*^{-1} - *t*.Solving gives the Jones polynomial of two concentric unknots as

Since the two knots

are topologically the same, it follows that

On to the next step.

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