K13n2902
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Polynomial invariants
| Jones polynomial | Data:K13n2902/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+24 t-33+24 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n2902/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^4 a^{-2} -3 z^4 a^{-4} +3 z^4 a^{-6} -z^4 a^{-8} -4 z^2 a^{-4} +5 z^2 a^{-6} -z^2 a^{-8} +z^2- a^{-4} +2 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +9 z^{10} a^{-6} +6 z^{10} a^{-8} +z^9 a^{-3} -5 z^9 a^{-5} +z^9 a^{-7} +7 z^9 a^{-9} -15 z^8 a^{-4} -42 z^8 a^{-6} -23 z^8 a^{-8} +4 z^8 a^{-10} -2 z^7 a^{-3} -4 z^7 a^{-5} -31 z^7 a^{-7} -28 z^7 a^{-9} +z^7 a^{-11} +3 z^6 a^{-2} +33 z^6 a^{-4} +66 z^6 a^{-6} +22 z^6 a^{-8} -14 z^6 a^{-10} +2 z^5 a^{-1} +5 z^5 a^{-3} +21 z^5 a^{-5} +49 z^5 a^{-7} +28 z^5 a^{-9} -3 z^5 a^{-11} -4 z^4 a^{-2} -30 z^4 a^{-4} -43 z^4 a^{-6} -9 z^4 a^{-8} +9 z^4 a^{-10} +z^4-3 z^3 a^{-1} -5 z^3 a^{-3} -14 z^3 a^{-5} -23 z^3 a^{-7} -10 z^3 a^{-9} +z^3 a^{-11} +z^2 a^{-2} +11 z^2 a^{-4} +13 z^2 a^{-6} +4 z^2 a^{-8} -z^2 a^{-10} -2 z^2+z a^{-1} +2 z a^{-3} +2 z a^{-5} +3 z a^{-7} +2 z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1 }[/math] |
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