K13n1882
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Polynomial invariants
| Jones polynomial | Data:K13n1882/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-7 t^2+16 t-21+16 t^{-1} -7 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1882/Conway Polynomial |
| Determinant | 71 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-3 a^8+z^6 a^6+4 z^4 a^6+7 z^2 a^6+4 a^6+z^6 a^4+3 z^4 a^4+3 z^2 a^4-z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-8 z^6 a^{10}+7 z^4 a^{10}-z^2 a^{10}+3 z^9 a^9-12 z^7 a^9+13 z^5 a^9-8 z^3 a^9+3 z a^9+3 z^{10} a^8-13 z^8 a^8+21 z^6 a^8-25 z^4 a^8+15 z^2 a^8-3 a^8+z^{11} a^7+z^9 a^7-20 z^7 a^7+42 z^5 a^7-38 z^3 a^7+11 z a^7+5 z^{10} a^6-25 z^8 a^6+47 z^6 a^6-42 z^4 a^6+18 z^2 a^6-4 a^6+z^{11} a^5-z^9 a^5-12 z^7 a^5+35 z^5 a^5-29 z^3 a^5+7 z a^5+2 z^{10} a^4-10 z^8 a^4+18 z^6 a^4-8 z^4 a^4+z^2 a^4+z^9 a^3-5 z^7 a^3+11 z^5 a^3-6 z^3 a^3+2 z a^3+2 z^4 a^2-z^2 a^2 }[/math] |
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