K13n1078
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Polynomial invariants
| Jones polynomial | Data:K13n1078/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-6 t^3+9 t^2-8 t+7-8 t^{-1} +9 t^{-2} -6 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1078/Conway Polynomial |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-2} +14 z^6 a^{-2} -3 z^6 a^{-4} -z^6-a^2 z^4+35 z^4 a^{-2} -16 z^4 a^{-4} +z^4 a^{-6} -6 z^4-2 a^2 z^2+40 z^2 a^{-2} -26 z^2 a^{-4} +4 z^2 a^{-6} -10 z^2-a^2+18 a^{-2} -14 a^{-4} +3 a^{-6} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +4 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +5 z^9 a^{-3} +5 z^9 a^{-5} +3 z^9 a^{-7} +a^2 z^8-24 z^8 a^{-2} -35 z^8 a^{-4} -12 z^8 a^{-6} +z^8 a^{-8} -z^8+a^3 z^7-22 z^7 a^{-1} -54 z^7 a^{-3} -49 z^7 a^{-5} -16 z^7 a^{-7} -6 a^2 z^6+48 z^6 a^{-2} +51 z^6 a^{-4} +7 z^6 a^{-6} -5 z^6 a^{-8} +3 z^6-6 a^3 z^5-5 a z^5+49 z^5 a^{-1} +119 z^5 a^{-3} +98 z^5 a^{-5} +27 z^5 a^{-7} +8 a^2 z^4-56 z^4 a^{-2} -39 z^4 a^{-4} +6 z^4 a^{-6} +7 z^4 a^{-8} -10 z^4+10 a^3 z^3+9 a z^3-49 z^3 a^{-1} -110 z^3 a^{-3} -82 z^3 a^{-5} -20 z^3 a^{-7} -3 a^2 z^2+44 z^2 a^{-2} +29 z^2 a^{-4} -z^2 a^{-6} -3 z^2 a^{-8} +14 z^2-5 a^3 z-3 a z+19 z a^{-1} +39 z a^{-3} +28 z a^{-5} +6 z a^{-7} +a^2-18 a^{-2} -14 a^{-4} -3 a^{-6} -5 }[/math] |
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