K13n2018
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Polynomial invariants
| Jones polynomial | Data:K13n2018/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+16 t^2-18 t+17-18 t^{-1} +16 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2018/Conway Polynomial |
| Determinant | 105 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +6 z^6 a^{-6} -z^6 a^{-8} -3 z^4 a^{-2} +3 z^4 a^{-4} +14 z^4 a^{-6} -6 z^4 a^{-8} -z^2 a^{-2} -z^2 a^{-4} +17 z^2 a^{-6} -10 z^2 a^{-8} +z^2 a^{-10} - a^{-4} +7 a^{-6} -6 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +6 z^{10} a^{-4} +10 z^{10} a^{-6} +4 z^{10} a^{-8} +7 z^9 a^{-3} +3 z^9 a^{-5} -2 z^9 a^{-7} +2 z^9 a^{-9} +4 z^8 a^{-2} -21 z^8 a^{-4} -46 z^8 a^{-6} -21 z^8 a^{-8} +z^7 a^{-1} -27 z^7 a^{-3} -39 z^7 a^{-5} -21 z^7 a^{-7} -10 z^7 a^{-9} -14 z^6 a^{-2} +16 z^6 a^{-4} +74 z^6 a^{-6} +45 z^6 a^{-8} +z^6 a^{-10} -3 z^5 a^{-1} +26 z^5 a^{-3} +62 z^5 a^{-5} +57 z^5 a^{-7} +24 z^5 a^{-9} +10 z^4 a^{-2} -4 z^4 a^{-4} -55 z^4 a^{-6} -41 z^4 a^{-8} +z^3 a^{-1} -9 z^3 a^{-3} -35 z^3 a^{-5} -47 z^3 a^{-7} -21 z^3 a^{-9} +z^3 a^{-11} -2 z^2 a^{-2} +2 z^2 a^{-4} +24 z^2 a^{-6} +21 z^2 a^{-8} +z^2 a^{-10} +2 z a^{-3} +7 z a^{-5} +13 z a^{-7} +7 z a^{-9} -z a^{-11} - a^{-4} -7 a^{-6} -6 a^{-8} - a^{-10} }[/math] |
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