K13n2134
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Polynomial invariants
| Jones polynomial | Data:K13n2134/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+6 t^2-8 t+9-8 t^{-1} +6 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2134/Conway Polynomial |
| Determinant | 45 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -a^2 z^4+12 z^4 a^{-2} -4 z^4 a^{-4} +z^4-3 a^2 z^2+10 z^2 a^{-2} -5 z^2 a^{-4} +3 z^2-2 a^2+4 a^{-2} -3 a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +4 z^{10} a^{-4} +z^{10}-3 z^9 a^{-1} +2 z^9 a^{-3} +5 z^9 a^{-5} +a^2 z^8-28 z^8 a^{-2} -18 z^8 a^{-4} +3 z^8 a^{-6} -6 z^8+a^3 z^7-9 z^7 a^{-1} -32 z^7 a^{-3} -23 z^7 a^{-5} +z^7 a^{-7} -7 a^2 z^6+44 z^6 a^{-2} +19 z^6 a^{-4} -12 z^6 a^{-6} +6 z^6-6 a^3 z^5-6 a z^5+29 z^5 a^{-1} +60 z^5 a^{-3} +27 z^5 a^{-5} -4 z^5 a^{-7} +11 a^2 z^4-24 z^4 a^{-2} -8 z^4 a^{-4} +9 z^4 a^{-6} +4 z^4+9 a^3 z^3+11 a z^3-21 z^3 a^{-1} -40 z^3 a^{-3} -14 z^3 a^{-5} +3 z^3 a^{-7} -6 a^2 z^2+7 z^2 a^{-2} +5 z^2 a^{-4} -2 z^2 a^{-6} -6 z^2-4 a^3 z-5 a z+4 z a^{-1} +11 z a^{-3} +5 z a^{-5} -z a^{-7} +2 a^2-4 a^{-2} -3 a^{-4} +2 }[/math] |
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