K13n4105
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Polynomial invariants
| Jones polynomial | Data:K13n4105/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+2 t^3-t^2+3 t-5+3 t^{-1} - t^{-2} +2 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4105/Conway Polynomial |
| Determinant | 19 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -7 z^6 a^{-4} +z^6 a^{-6} -16 z^4 a^{-4} +6 z^4 a^{-6} +z^4+z^2 a^{-2} -13 z^2 a^{-4} +11 z^2 a^{-6} -z^2 a^{-8} +3 z^2+ a^{-2} -4 a^{-4} +5 a^{-6} -2 a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +z^9 a^{-5} +z^9 a^{-7} -9 z^8 a^{-4} -8 z^8 a^{-6} +z^8-8 z^7 a^{-1} -9 z^7 a^{-3} -7 z^7 a^{-5} -6 z^7 a^{-7} -2 z^6 a^{-2} +29 z^6 a^{-4} +26 z^6 a^{-6} +2 z^6 a^{-8} -7 z^6+19 z^5 a^{-1} +25 z^5 a^{-3} +20 z^5 a^{-5} +15 z^5 a^{-7} +z^5 a^{-9} +6 z^4 a^{-2} -38 z^4 a^{-4} -37 z^4 a^{-6} -7 z^4 a^{-8} +14 z^4-15 z^3 a^{-1} -23 z^3 a^{-3} -21 z^3 a^{-5} -17 z^3 a^{-7} -4 z^3 a^{-9} -2 z^2 a^{-2} +22 z^2 a^{-4} +22 z^2 a^{-6} +6 z^2 a^{-8} -8 z^2+3 z a^{-1} +7 z a^{-3} +7 z a^{-5} +6 z a^{-7} +3 z a^{-9} - a^{-2} -4 a^{-4} -5 a^{-6} -2 a^{-8} +1 }[/math] |
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