K13n3881
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Polynomial invariants
| Jones polynomial | Data:K13n3881/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-14 t^2+39 t-53+39 t^{-1} -14 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3881/Conway Polynomial |
| Determinant | 163 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +z^6 a^{-6} -3 z^4 a^{-2} +2 z^4 a^{-6} -z^4 a^{-8} -3 z^2 a^{-2} -z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +2 z^2- a^{-4} +2 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +5 z^{10} a^{-4} +11 z^{10} a^{-6} +6 z^{10} a^{-8} +6 z^9 a^{-3} +7 z^9 a^{-5} +8 z^9 a^{-7} +7 z^9 a^{-9} +4 z^8 a^{-2} -6 z^8 a^{-4} -28 z^8 a^{-6} -14 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -11 z^7 a^{-3} -26 z^7 a^{-5} -38 z^7 a^{-7} -23 z^7 a^{-9} +z^7 a^{-11} -4 z^6 a^{-2} +3 z^6 a^{-4} +24 z^6 a^{-6} +4 z^6 a^{-8} -13 z^6 a^{-10} +5 z^5 a^{-1} +16 z^5 a^{-3} +27 z^5 a^{-5} +41 z^5 a^{-7} +22 z^5 a^{-9} -3 z^5 a^{-11} +7 z^4 a^{-2} -z^4 a^{-4} -15 z^4 a^{-6} +z^4 a^{-8} +11 z^4 a^{-10} +3 z^4-7 z^3 a^{-1} -9 z^3 a^{-3} -11 z^3 a^{-5} -20 z^3 a^{-7} -9 z^3 a^{-9} +2 z^3 a^{-11} -5 z^2 a^{-2} +4 z^2 a^{-4} +8 z^2 a^{-6} +z^2 a^{-8} -2 z^2 a^{-10} -4 z^2+z a^{-1} +2 z a^{-3} +2 z a^{-5} +3 z a^{-7} +2 z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1 }[/math] |
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