K13n2935
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Polynomial invariants
| Jones polynomial | Data:K13n2935/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-19 t+23-19 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n2935/Conway Polynomial |
| Determinant | 81 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+z^2 a^{10}+a^{10}-2 z^2 a^8-2 a^8+4 z^4 a^6+9 z^2 a^6+3 a^6-z^6 a^4-2 z^4 a^4-z^2 a^4+z^4 a^2+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-8 z^7 a^{13}+21 z^5 a^{13}-23 z^3 a^{13}+9 z a^{13}+z^{10} a^{12}-8 z^8 a^{12}+19 z^6 a^{12}-18 z^4 a^{12}+7 z^2 a^{12}-a^{12}+2 z^9 a^{11}-20 z^7 a^{11}+55 z^5 a^{11}-52 z^3 a^{11}+14 z a^{11}+z^{10} a^{10}-9 z^8 a^{10}+21 z^6 a^{10}-9 z^4 a^{10}-a^{10}+3 z^9 a^9-20 z^7 a^9+53 z^5 a^9-43 z^3 a^9+10 z a^9+z^{10} a^8+z^8 a^8-8 z^6 a^8+16 z^4 a^8-2 z^2 a^8-2 a^8+6 z^9 a^7-16 z^7 a^7+21 z^5 a^7-17 z^3 a^7+6 z a^7+z^{10} a^6+8 z^8 a^6-26 z^6 a^6+17 z^4 a^6+2 z^2 a^6-3 a^6+4 z^9 a^5-4 z^7 a^5-8 z^5 a^5+2 z^3 a^5+z a^5+6 z^8 a^4-15 z^6 a^4+8 z^4 a^4-2 z^2 a^4+4 z^7 a^3-10 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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