K13n2690
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Polynomial invariants
| Jones polynomial | Data:K13n2690/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-22 t^2+45 t-57+45 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2690/Conway Polynomial |
| Determinant | 207 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-z^4 a^6+2 z^6 a^4+5 z^4 a^4+5 z^2 a^4+2 a^4-z^8 a^2-4 z^6 a^2-6 z^4 a^2-2 z^2 a^2+z^6+2 z^4+z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+12 a^4 z^{10}+8 a^2 z^{10}+3 a^7 z^9+8 a^5 z^9+18 a^3 z^9+13 a z^9+a^8 z^8-a^6 z^8-14 a^4 z^8-a^2 z^8+11 z^8+a^7 z^7-11 a^5 z^7-41 a^3 z^7-24 a z^7+5 z^7 a^{-1} +4 a^8 z^6+2 a^6 z^6-a^4 z^6-22 a^2 z^6+z^6 a^{-2} -22 z^6+3 a^9 z^5-2 a^7 z^5-4 a^5 z^5+19 a^3 z^5+10 a z^5-8 z^5 a^{-1} -7 a^8 z^4-3 a^6 z^4+6 a^4 z^4+14 a^2 z^4-z^4 a^{-2} +11 z^4-6 a^9 z^3-a^7 z^3+14 a^5 z^3+7 a^3 z^3+2 z^3 a^{-1} +3 a^8 z^2-a^6 z^2-4 a^4 z^2-a^2 z^2-z^2+3 a^9 z-6 a^5 z-4 a^3 z-a z-a^8+2 a^4 }[/math] |
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