K13n2684
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Polynomial invariants
| Jones polynomial | Data:K13n2684/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+26 t-33+26 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2684/Conway Polynomial |
| Determinant | 111 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+z^4 a^{-2} -2 z^4 a^{-4} +3 z^4-2 a^2 z^2-2 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} +5 z^2-a^2-3 a^{-2} + a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +9 z^{10} a^{-2} +5 z^{10} a^{-4} +4 z^{10}+4 a z^9-z^9 a^{-1} -z^9 a^{-3} +4 z^9 a^{-5} +3 a^2 z^8-38 z^8 a^{-2} -22 z^8 a^{-4} +z^8 a^{-6} -12 z^8+a^3 z^7-13 a z^7-17 z^7 a^{-1} -18 z^7 a^{-3} -15 z^7 a^{-5} -12 a^2 z^6+55 z^6 a^{-2} +41 z^6 a^{-4} +2 z^6 a^{-6} +4 z^6-4 a^3 z^5+7 a z^5+27 z^5 a^{-1} +40 z^5 a^{-3} +28 z^5 a^{-5} +4 z^5 a^{-7} +13 a^2 z^4-27 z^4 a^{-2} -27 z^4 a^{-4} -4 z^4 a^{-6} +z^4 a^{-8} +8 z^4+4 a^3 z^3+a z^3-14 z^3 a^{-1} -23 z^3 a^{-3} -18 z^3 a^{-5} -6 z^3 a^{-7} -6 a^2 z^2-2 z^2 a^{-2} +5 z^2 a^{-4} +z^2 a^{-6} -z^2 a^{-8} -11 z^2-a^3 z-a z+2 z a^{-1} +4 z a^{-3} +3 z a^{-5} +z a^{-7} +a^2+3 a^{-2} + a^{-4} +4 }[/math] |
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