K13n2252
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Polynomial invariants
| Jones polynomial | Data:K13n2252/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+15 t^2-36 t+47-36 t^{-1} +15 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2252/Conway Polynomial |
| Determinant | 153 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{10}+2 z^4 a^8-3 a^8-z^6 a^6+z^4 a^6+6 z^2 a^6+4 a^6-z^6 a^4-z^4 a^4+z^4 a^2+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-2 z^3 a^{13}+z a^{13}+4 z^6 a^{12}-6 z^4 a^{12}+2 z^2 a^{12}+z^9 a^{11}+2 z^7 a^{11}-3 z^3 a^{11}+2 z^{10} a^{10}-2 z^8 a^{10}+9 z^6 a^{10}-9 z^4 a^{10}+z^2 a^{10}+z^{11} a^9+4 z^9 a^9-6 z^7 a^9+9 z^5 a^9-9 z^3 a^9+4 z a^9+6 z^{10} a^8-6 z^8 a^8+2 z^6 a^8-2 z^4 a^8+5 z^2 a^8-3 a^8+z^{11} a^7+10 z^9 a^7-22 z^7 a^7+18 z^5 a^7-12 z^3 a^7+6 z a^7+4 z^{10} a^6+3 z^8 a^6-19 z^6 a^6+12 z^4 a^6+2 z^2 a^6-4 a^6+7 z^9 a^5-10 z^7 a^5-z^5 a^5+z^3 a^5+z a^5+7 z^8 a^4-15 z^6 a^4+9 z^4 a^4-3 z^2 a^4+4 z^7 a^3-9 z^5 a^3+5 z^3 a^3+z^6 a^2-2 z^4 a^2+z^2 a^2 }[/math] |
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