K13n1691
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Polynomial invariants
| Jones polynomial | Data:K13n1691/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-4 t^2+7 t-9+7 t^{-1} -4 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1691/Conway Polynomial |
| Determinant | 39 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -7 z^6 a^{-4} +z^6 a^{-6} +5 z^4 a^{-2} -17 z^4 a^{-4} +6 z^4 a^{-6} +8 z^2 a^{-2} -16 z^2 a^{-4} +11 z^2 a^{-6} -z^2 a^{-8} +3 a^{-2} -5 a^{-4} +5 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +2 z^9 a^{-5} +z^9 a^{-7} -7 z^8 a^{-4} -7 z^8 a^{-6} -5 z^7 a^{-3} -11 z^7 a^{-5} -6 z^7 a^{-7} +3 z^6 a^{-2} +24 z^6 a^{-4} +23 z^6 a^{-6} +2 z^6 a^{-8} +2 z^5 a^{-1} +14 z^5 a^{-3} +29 z^5 a^{-5} +18 z^5 a^{-7} +z^5 a^{-9} -7 z^4 a^{-2} -33 z^4 a^{-4} -31 z^4 a^{-6} -6 z^4 a^{-8} +z^4-4 z^3 a^{-1} -13 z^3 a^{-3} -28 z^3 a^{-5} -23 z^3 a^{-7} -4 z^3 a^{-9} +8 z^2 a^{-2} +22 z^2 a^{-4} +17 z^2 a^{-6} +5 z^2 a^{-8} -2 z^2+2 z a^{-1} +6 z a^{-3} +8 z a^{-5} +8 z a^{-7} +4 z a^{-9} -3 a^{-2} -5 a^{-4} -5 a^{-6} -2 a^{-8} }[/math] |
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