K13n3326
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Polynomial invariants
| Jones polynomial | Data:K13n3326/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+13 t^2-24 t+29-24 t^{-1} +13 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3326/Conway Polynomial |
| Determinant | 109 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+a^{10}-z^6 a^8-2 z^4 a^8-z^2 a^8-a^8-2 z^6 a^6-7 z^4 a^6-8 z^2 a^6-3 a^6+3 z^4 a^4+8 z^2 a^4+4 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-3 z^4 a^{14}+2 z^2 a^{14}+3 z^7 a^{13}-8 z^5 a^{13}+4 z^3 a^{13}+5 z^8 a^{12}-13 z^6 a^{12}+8 z^4 a^{12}-3 z^2 a^{12}+6 z^9 a^{11}-19 z^7 a^{11}+26 z^5 a^{11}-23 z^3 a^{11}+6 z a^{11}+4 z^{10} a^{10}-10 z^8 a^{10}+10 z^6 a^{10}-4 z^4 a^{10}-a^{10}+z^{11} a^9+5 z^9 a^9-26 z^7 a^9+48 z^5 a^9-36 z^3 a^9+11 z a^9+5 z^{10} a^8-16 z^8 a^8+23 z^6 a^8-9 z^4 a^8+4 z^2 a^8-a^8+z^{11} a^7-z^9 a^7-z^7 a^7+10 z^5 a^7-8 z^3 a^7+3 z a^7+z^{10} a^6-z^8 a^6-z^6 a^6+11 z^4 a^6-12 z^2 a^6+3 a^6+3 z^7 a^5-4 z^5 a^5+z^3 a^5-2 z a^5+5 z^4 a^4-11 z^2 a^4+4 a^4 }[/math] |
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