K13n3371
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Polynomial invariants
| Jones polynomial | Data:K13n3371/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+2 t+1+2 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3371/Conway Polynomial |
| Determinant | 7 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-2} -z^4+a^2 z^2-3 z^2 a^{-2} -z^2 a^{-6} -3 z^2+2 a^2- a^{-2} + a^{-4} - a^{-6} + a^{-8} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-1} +z^9 a^{-7} +z^8 a^{-2} +z^8 a^{-6} +z^8 a^{-8} +z^8+a z^7-6 z^7 a^{-1} -7 z^7 a^{-7} +a^2 z^6-6 z^6 a^{-2} -z^6 a^{-4} -7 z^6 a^{-6} -7 z^6 a^{-8} -4 z^6-4 a z^5+12 z^5 a^{-1} -z^5 a^{-3} -2 z^5 a^{-5} +15 z^5 a^{-7} -5 a^2 z^4+11 z^4 a^{-2} +2 z^4 a^{-4} +13 z^4 a^{-6} +15 z^4 a^{-8} +2 z^4+2 a z^3-11 z^3 a^{-1} +2 z^3 a^{-3} +4 z^3 a^{-5} -11 z^3 a^{-7} +6 a^2 z^2-8 z^2 a^{-2} -z^2 a^{-4} -7 z^2 a^{-6} -10 z^2 a^{-8} +2 z^2+a z+3 z a^{-1} -z a^{-3} -z a^{-5} +2 z a^{-7} -2 a^2+ a^{-2} + a^{-4} + a^{-6} + a^{-8} -1 }[/math] |
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