K13n3667
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Polynomial invariants
| Jones polynomial | Data:K13n3667/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-25 t^2+54 t-69+54 t^{-1} -25 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3667/Conway Polynomial |
| Determinant | 243 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-8 z^4 a^{-2} +z^4 a^{-4} +5 z^4-a^2 z^2-6 z^2 a^{-2} +2 z^2 a^{-4} +z^2 a^{-6} +5 z^2- a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +20 z^{10} a^{-2} +11 z^{10} a^{-4} +9 z^{10}+10 a z^9+24 z^9 a^{-1} +28 z^9 a^{-3} +14 z^9 a^{-5} +5 a^2 z^8-27 z^8 a^{-2} -7 z^8 a^{-4} +7 z^8 a^{-6} -8 z^8+a^3 z^7-26 a z^7-84 z^7 a^{-1} -84 z^7 a^{-3} -26 z^7 a^{-5} +z^7 a^{-7} -13 a^2 z^6-29 z^6 a^{-2} -13 z^6 a^{-4} -29 z^6-2 a^3 z^5+21 a z^5+75 z^5 a^{-1} +77 z^5 a^{-3} +36 z^5 a^{-5} +11 z^5 a^{-7} +11 a^2 z^4+44 z^4 a^{-2} +14 z^4 a^{-4} +3 z^4 a^{-8} +38 z^4+a^3 z^3-6 a z^3-26 z^3 a^{-1} -33 z^3 a^{-3} -23 z^3 a^{-5} -9 z^3 a^{-7} -3 a^2 z^2-14 z^2 a^{-2} -4 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} -13 z^2+2 z a^{-1} +5 z a^{-3} +3 z a^{-5} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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