K13n4557
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Polynomial invariants
| Jones polynomial | Data:K13n4557/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+26 t^2-49 t+61-49 t^{-1} +26 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4557/Conway Polynomial |
| Determinant | 229 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +4 z^6 a^{-2} -z^6 a^{-4} -3 z^6+2 a^2 z^4+7 z^4 a^{-2} -2 z^4 a^{-4} -9 z^4+3 a^2 z^2+5 z^2 a^{-2} -z^2 a^{-4} -8 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{11} a^{-1} +5 z^{11} a^{-3} +24 z^{10} a^{-2} +12 z^{10} a^{-4} +12 z^{10}+11 a z^9+8 z^9 a^{-1} +8 z^9 a^{-3} +11 z^9 a^{-5} +5 a^2 z^8-68 z^8 a^{-2} -32 z^8 a^{-4} +5 z^8 a^{-6} -26 z^8+a^3 z^7-16 a z^7-38 z^7 a^{-1} -55 z^7 a^{-3} -33 z^7 a^{-5} +z^7 a^{-7} +6 a^2 z^6+70 z^6 a^{-2} +22 z^6 a^{-4} -13 z^6 a^{-6} +41 z^6+9 a^3 z^5+18 a z^5+36 z^5 a^{-1} +57 z^5 a^{-3} +28 z^5 a^{-5} -2 z^5 a^{-7} +3 a^4 z^4-11 a^2 z^4-41 z^4 a^{-2} -5 z^4 a^{-4} +7 z^4 a^{-6} -43 z^4-7 a^3 z^3-12 a z^3-16 z^3 a^{-1} -18 z^3 a^{-3} -7 z^3 a^{-5} -a^4 z^2+6 a^2 z^2+12 z^2 a^{-2} +2 z^2 a^{-4} +17 z^2+a^3 z+2 a z+2 z a^{-1} +z a^{-3} -a^2- a^{-2} -1 }[/math] |
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