K13n1688
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Polynomial invariants
| Jones polynomial | Data:K13n1688/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3+3 t^2-14 t+21-14 t^{-1} +3 t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1688/Conway Polynomial |
| Determinant | 49 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+a^2 z^6-7 z^6+5 a^2 z^4+3 z^4 a^{-2} +z^4 a^{-4} -14 z^4+5 a^2 z^2+6 z^2 a^{-2} -11 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+a z^9+z^9 a^{-1} +2 z^9 a^{-3} +a^4 z^8-8 a^2 z^8+5 z^8 a^{-2} +5 z^8 a^{-4} -9 z^8-14 a^3 z^7-12 a z^7-z^7 a^{-1} +z^7 a^{-3} +4 z^7 a^{-5} -6 a^4 z^6+16 a^2 z^6-8 z^6 a^{-2} -13 z^6 a^{-4} +z^6 a^{-6} +28 z^6+27 a^3 z^5+33 a z^5+2 z^5 a^{-1} -15 z^5 a^{-3} -11 z^5 a^{-5} +9 a^4 z^4-9 a^2 z^4-7 z^4 a^{-2} +4 z^4 a^{-4} -2 z^4 a^{-6} -31 z^4-16 a^3 z^3-23 a z^3-4 z^3 a^{-1} +9 z^3 a^{-3} +6 z^3 a^{-5} -3 a^4 z^2+4 a^2 z^2+10 z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} +16 z^2+2 a^3 z+4 a z+2 z a^{-1} -a^2-3 a^{-2} - a^{-4} -2 }[/math] |
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