K13n2542
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Polynomial invariants
| Jones polynomial | Data:K13n2542/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-8 t^2+20 t-27+20 t^{-1} -8 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2542/Conway Polynomial |
| Determinant | 87 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+a^{10}-3 z^4 a^8-8 z^2 a^8-6 a^8+2 z^6 a^6+9 z^4 a^6+15 z^2 a^6+7 a^6-2 z^4 a^4-3 z^2 a^4-a^4+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-4 z^6 a^{12}+4 z^4 a^{12}-z^2 a^{12}+4 z^9 a^{11}-19 z^7 a^{11}+26 z^5 a^{11}-11 z^3 a^{11}+5 z^{10} a^{10}-22 z^8 a^{10}+24 z^6 a^{10}-5 z^4 a^{10}+z^2 a^{10}-a^{10}+2 z^{11} a^9-33 z^7 a^9+60 z^5 a^9-36 z^3 a^9+9 z a^9+9 z^{10} a^8-41 z^8 a^8+55 z^6 a^8-35 z^4 a^8+18 z^2 a^8-6 a^8+2 z^{11} a^7-2 z^9 a^7-21 z^7 a^7+44 z^5 a^7-38 z^3 a^7+13 z a^7+4 z^{10} a^6-18 z^8 a^6+29 z^6 a^6-29 z^4 a^6+17 z^2 a^6-7 a^6+2 z^9 a^5-7 z^7 a^5+10 z^5 a^5-11 z^3 a^5+5 z a^5+2 z^6 a^4-3 z^4 a^4+2 z^2 a^4-a^4+2 z^3 a^3+z a^3+z^2 a^2 }[/math] |
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