K13n1872
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Polynomial invariants
| Jones polynomial | Data:K13n1872/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2-1+2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1872/Conway Polynomial |
| Determinant | 5 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -4 z^4 a^{-4} +z^4 a^{-6} -z^4+a^2 z^2+z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} -5 z^9 a^{-3} -2 z^9 a^{-5} +3 z^9 a^{-7} -7 z^8 a^{-2} -26 z^8 a^{-4} -17 z^8 a^{-6} +z^8 a^{-8} +z^8+2 a z^7+2 z^7 a^{-1} +z^7 a^{-3} -16 z^7 a^{-5} -17 z^7 a^{-7} +a^2 z^6+13 z^6 a^{-2} +45 z^6 a^{-4} +24 z^6 a^{-6} -5 z^6 a^{-8} -2 z^6-8 a z^5-11 z^5 a^{-1} +9 z^5 a^{-3} +38 z^5 a^{-5} +26 z^5 a^{-7} -4 a^2 z^4-13 z^4 a^{-2} -26 z^4 a^{-4} -9 z^4 a^{-6} +6 z^4 a^{-8} -6 z^4+7 a z^3+9 z^3 a^{-1} -5 z^3 a^{-3} -20 z^3 a^{-5} -13 z^3 a^{-7} +4 a^2 z^2+5 z^2 a^{-2} +6 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} +6 z^2-2 a z-3 z a^{-1} +2 z a^{-5} +z a^{-7} -a^2- a^{-2} -1 }[/math] |
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