K13n3808
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Polynomial invariants
| Jones polynomial | Data:K13n3808/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+10 t^2-24 t+31-24 t^{-1} +10 t^{-2} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3808/Conway Polynomial |
| Determinant | 97 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -8 z^6 a^{-4} -z^6 a^{-6} +6 z^4 a^{-2} -19 z^4 a^{-4} +3 z^4 a^{-8} +10 z^2 a^{-2} -19 z^2 a^{-4} +5 z^2 a^{-6} +5 z^2 a^{-8} -z^2 a^{-10} +5 a^{-2} -8 a^{-4} +4 a^{-6} + a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +2 z^{10} a^{-4} +2 z^{10} a^{-6} +z^{10} a^{-8} -9 z^9 a^{-3} -9 z^9 a^{-5} +5 z^9 a^{-7} +5 z^9 a^{-9} -9 z^8 a^{-2} -22 z^8 a^{-4} -12 z^8 a^{-6} +10 z^8 a^{-8} +9 z^8 a^{-10} +25 z^7 a^{-3} +25 z^7 a^{-5} -8 z^7 a^{-7} +8 z^7 a^{-11} +28 z^6 a^{-2} +74 z^6 a^{-4} +41 z^6 a^{-6} -24 z^6 a^{-8} -15 z^6 a^{-10} +4 z^6 a^{-12} -26 z^5 a^{-3} -15 z^5 a^{-5} +11 z^5 a^{-7} -14 z^5 a^{-9} -13 z^5 a^{-11} +z^5 a^{-13} -39 z^4 a^{-2} -96 z^4 a^{-4} -48 z^4 a^{-6} +22 z^4 a^{-8} +8 z^4 a^{-10} -5 z^4 a^{-12} +8 z^3 a^{-3} -5 z^3 a^{-5} -8 z^3 a^{-7} +12 z^3 a^{-9} +6 z^3 a^{-11} -z^3 a^{-13} +24 z^2 a^{-2} +49 z^2 a^{-4} +22 z^2 a^{-6} -8 z^2 a^{-8} -4 z^2 a^{-10} +z^2 a^{-12} +2 z a^{-5} +2 z a^{-7} -2 z a^{-9} -2 z a^{-11} -5 a^{-2} -8 a^{-4} -4 a^{-6} + a^{-8} + a^{-10} }[/math] |
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