K13n1339
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Polynomial invariants
| Jones polynomial | Data:K13n1339/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-33 t+45-33 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1339/Conway Polynomial |
| Determinant | 141 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+2 a^4-z^6 a^2-z^4 a^2-z^2 a^2-a^2-z^6-z^4+1+z^4 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+6 a^2 z^{10}+3 z^{10}+4 a^5 z^9+7 a^3 z^9+6 a z^9+3 z^9 a^{-1} +3 a^6 z^8-a^4 z^8-7 a^2 z^8+z^8 a^{-2} -2 z^8+a^7 z^7-10 a^5 z^7-20 a^3 z^7-9 a z^7-11 a^6 z^6-17 a^4 z^6-4 a^2 z^6+7 z^6 a^{-2} +9 z^6-4 a^7 z^5+2 a^5 z^5+7 a^3 z^5-a z^5+3 z^5 a^{-1} +5 z^5 a^{-3} +13 a^6 z^4+21 a^4 z^4+a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} -14 z^4+5 a^7 z^3+7 a^5 z^3+4 a^3 z^3+a z^3-3 z^3 a^{-1} -2 z^3 a^{-3} -6 a^6 z^2-9 a^4 z^2-a^2 z^2+z^2 a^{-2} +3 z^2-2 a^7 z-3 a^5 z-a^3 z+a^6+2 a^4+a^2+1 }[/math] |
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