K13n3694
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Polynomial invariants
| Jones polynomial | Data:K13n3694/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+33 t-45+33 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3694/Conway Polynomial |
| Determinant | 139 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +z^4 a^{-4} -2 z^4 a^{-6} -z^4+4 z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-8} -z^2+3 a^{-2} - a^{-6} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +10 z^{10} a^{-4} +6 z^{10} a^{-6} +2 z^9 a^{-1} -z^9 a^{-3} +5 z^9 a^{-5} +8 z^9 a^{-7} -18 z^8 a^{-2} -39 z^8 a^{-4} -14 z^8 a^{-6} +7 z^8 a^{-8} -6 z^7 a^{-1} -14 z^7 a^{-3} -33 z^7 a^{-5} -21 z^7 a^{-7} +4 z^7 a^{-9} +44 z^6 a^{-2} +68 z^6 a^{-4} +9 z^6 a^{-6} -18 z^6 a^{-8} +z^6 a^{-10} +4 z^6+a z^5+16 z^5 a^{-1} +46 z^5 a^{-3} +56 z^5 a^{-5} +15 z^5 a^{-7} -10 z^5 a^{-9} -45 z^4 a^{-2} -47 z^4 a^{-4} +z^4 a^{-6} +10 z^4 a^{-8} -2 z^4 a^{-10} -9 z^4-3 a z^3-21 z^3 a^{-1} -41 z^3 a^{-3} -30 z^3 a^{-5} -3 z^3 a^{-7} +4 z^3 a^{-9} +17 z^2 a^{-2} +13 z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} +5 z^2+2 a z+7 z a^{-1} +10 z a^{-3} +4 z a^{-5} -z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math] |
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