K13n2089
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Polynomial invariants
| Jones polynomial | Data:K13n2089/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+11 t^2-27 t+35-27 t^{-1} +11 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2089/Conway Polynomial |
| Determinant | 113 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+3 z^2 a^{10}+a^{10}-z^6 a^8-2 z^4 a^8-3 z^2 a^8-2 a^8+4 z^4 a^6+8 z^2 a^6+3 a^6+z^4 a^4+z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+5 z^3 a^{15}-2 z a^{15}+3 z^8 a^{14}-11 z^6 a^{14}+11 z^4 a^{14}-3 z^2 a^{14}+4 z^9 a^{13}-12 z^7 a^{13}+7 z^5 a^{13}+z a^{13}+3 z^{10} a^{12}-5 z^8 a^{12}-5 z^6 a^{12}+4 z^4 a^{12}+3 z^2 a^{12}-a^{12}+z^{11} a^{11}+4 z^9 a^{11}-17 z^7 a^{11}+14 z^5 a^{11}-6 z^3 a^{11}+z a^{11}+5 z^{10} a^{10}-12 z^8 a^{10}+12 z^6 a^{10}-11 z^4 a^{10}+4 z^2 a^{10}-a^{10}+z^{11} a^9+z^9 a^9-z^7 a^9-2 z^5 a^9+z^3 a^9-z a^9+2 z^{10} a^8-4 z^8 a^8+13 z^6 a^8-16 z^4 a^8+9 z^2 a^8-2 a^8+z^9 a^7+3 z^7 a^7-2 z^5 a^7+z a^7+7 z^6 a^6-11 z^4 a^6+10 z^2 a^6-3 a^6+3 z^5 a^5-2 z^3 a^5+z^4 a^4-z^2 a^4 }[/math] |
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