K13n279
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Polynomial invariants
| Jones polynomial | Data:K13n279/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^3-6 t^2+14 t-17+14 t^{-1} -6 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | Data:K13n279/Conway Polynomial |
| Determinant | 59 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^4 a^{-2} -2 z^4 a^{-4} +4 z^4 a^{-6} -z^4 a^{-8} -2 z^2 a^{-2} -4 z^2 a^{-4} +6 z^2 a^{-6} -2 z^2 a^{-8} +z^2- a^{-2} -2 a^{-4} +3 a^{-6} - a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +z^{10} a^{-4} +4 z^{10} a^{-6} +3 z^{10} a^{-8} -5 z^9 a^{-5} -z^9 a^{-7} +4 z^9 a^{-9} -6 z^8 a^{-4} -22 z^8 a^{-6} -13 z^8 a^{-8} +3 z^8 a^{-10} +2 z^7 a^{-3} +10 z^7 a^{-5} -11 z^7 a^{-7} -18 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-2} +17 z^6 a^{-4} +44 z^6 a^{-6} +15 z^6 a^{-8} -13 z^6 a^{-10} +z^5 a^{-1} -6 z^5 a^{-3} -10 z^5 a^{-5} +22 z^5 a^{-7} +21 z^5 a^{-9} -4 z^5 a^{-11} -22 z^4 a^{-4} -42 z^4 a^{-6} -8 z^4 a^{-8} +13 z^4 a^{-10} +z^4-z^3 a^{-1} +9 z^3 a^{-3} +7 z^3 a^{-5} -15 z^3 a^{-7} -9 z^3 a^{-9} +3 z^3 a^{-11} -2 z^2 a^{-2} +14 z^2 a^{-4} +19 z^2 a^{-6} +3 z^2 a^{-8} -3 z^2 a^{-10} -3 z^2-z a^{-1} -4 z a^{-3} -2 z a^{-5} +3 z a^{-7} +2 z a^{-9} + a^{-2} -2 a^{-4} -3 a^{-6} - a^{-8} +2 }[/math] |
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