K13n2926
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Polynomial invariants
| Jones polynomial | Data:K13n2926/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+7 t-9+7 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | Data:K13n2926/Conway Polynomial |
| Determinant | 27 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} +z^6-a^2 z^4-z^4 a^{-2} -4 z^4 a^{-4} +z^4 a^{-6} +3 z^4-a^2 z^2-z^2 a^{-2} -3 z^2 a^{-4} +2 z^2 a^{-6} +2 z^2+a^2+ a^{-2} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^{10}+5 a z^9+7 z^9 a^{-1} -3 z^9 a^{-3} -2 z^9 a^{-5} +3 z^9 a^{-7} +4 a^2 z^8-18 z^8 a^{-2} -29 z^8 a^{-4} -17 z^8 a^{-6} +z^8 a^{-8} -3 z^8+a^3 z^7-21 a z^7-37 z^7 a^{-1} -18 z^7 a^{-3} -20 z^7 a^{-5} -17 z^7 a^{-7} -16 a^2 z^6+26 z^6 a^{-2} +54 z^6 a^{-4} +23 z^6 a^{-6} -5 z^6 a^{-8} -16 z^6-3 a^3 z^5+21 a z^5+53 z^5 a^{-1} +54 z^5 a^{-3} +51 z^5 a^{-5} +26 z^5 a^{-7} +14 a^2 z^4-15 z^4 a^{-2} -36 z^4 a^{-4} -9 z^4 a^{-6} +6 z^4 a^{-8} +20 z^4+a^3 z^3-7 a z^3-30 z^3 a^{-1} -43 z^3 a^{-3} -35 z^3 a^{-5} -14 z^3 a^{-7} -a^2 z^2+5 z^2 a^{-2} +10 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2 a^{-8} -2 z^2+4 z a^{-1} +9 z a^{-3} +7 z a^{-5} +2 z a^{-7} -a^2- a^{-2} -1 }[/math] |
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