K13n2092
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Polynomial invariants
| Jones polynomial | Data:K13n2092/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+11 t^2-28 t+37-28 t^{-1} +11 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2092/Conway Polynomial |
| Determinant | 117 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+2 z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-z^6 a^8-2 z^4 a^8-4 z^2 a^8-4 a^8+4 z^4 a^6+8 z^2 a^6+4 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}+12 z^4 a^{14}-4 z^2 a^{14}+4 z^9 a^{13}-11 z^7 a^{13}+4 z^5 a^{13}+4 z^3 a^{13}-z a^{13}+3 z^{10} a^{12}-4 z^8 a^{12}-7 z^6 a^{12}+5 z^4 a^{12}+2 z^2 a^{12}-a^{12}+z^{11} a^{11}+4 z^9 a^{11}-13 z^7 a^{11}+2 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+5 z^{10} a^{10}-11 z^8 a^{10}+13 z^6 a^{10}-19 z^4 a^{10}+10 z^2 a^{10}-2 a^{10}+z^{11} a^9+z^9 a^9+2 z^7 a^9-10 z^5 a^9+6 z^3 a^9+2 z^{10} a^8-4 z^8 a^8+16 z^6 a^8-24 z^4 a^8+16 z^2 a^8-4 a^8+z^9 a^7+3 z^7 a^7-z^5 a^7-z^3 a^7+2 z a^7+7 z^6 a^6-11 z^4 a^6+11 z^2 a^6-4 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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