K13n1566
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Polynomial invariants
| Jones polynomial | Data:K13n1566/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+16 t^2-41 t+55-41 t^{-1} +16 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1566/Conway Polynomial |
| Determinant | 173 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}+2 z^4 a^8-2 a^8-z^6 a^6+z^4 a^6+4 z^2 a^6+2 a^6-z^6 a^4+2 z^2 a^4+a^4+z^4 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+z a^{13}+4 z^6 a^{12}-7 z^4 a^{12}+3 z^2 a^{12}+z^9 a^{11}+2 z^7 a^{11}-5 z^3 a^{11}+z a^{11}+3 z^{10} a^{10}-8 z^8 a^{10}+22 z^6 a^{10}-20 z^4 a^{10}+3 z^2 a^{10}+2 z^{11} a^9+z^9 a^9-8 z^7 a^9+22 z^5 a^9-17 z^3 a^9+4 z a^9+11 z^{10} a^8-29 z^8 a^8+36 z^6 a^8-17 z^4 a^8+6 z^2 a^8-2 a^8+2 z^{11} a^7+13 z^9 a^7-46 z^7 a^7+52 z^5 a^7-21 z^3 a^7+4 z a^7+8 z^{10} a^6-10 z^8 a^6-7 z^6 a^6+7 z^4 a^6+4 z^2 a^6-2 a^6+13 z^9 a^5-31 z^7 a^5+21 z^5 a^5-7 z^3 a^5+11 z^8 a^4-24 z^6 a^4+10 z^4 a^4-2 z^2 a^4+a^4+5 z^7 a^3-8 z^5 a^3+z^6 a^2-z^4 a^2 }[/math] |
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