K12n366
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-3} - q^{-5} +3 q^{-6} -4 q^{-7} +5 q^{-8} -5 q^{-9} +5 q^{-10} -4 q^{-11} +2 q^{-12} - q^{-13} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3+2 t^2-8 t+11-8 t^{-1} +2 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+8 z^4+9 z^2+1 }[/math] |
| Determinant | 29 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+z^4 a^{10}+z^2 a^{10}+z^4 a^8+z^2 a^8+z^6 a^6+6 z^4 a^6+8 z^2 a^6+2 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-5 z^5 a^{15}+7 z^3 a^{15}-3 z a^{15}+2 z^8 a^{14}-9 z^6 a^{14}+10 z^4 a^{14}-3 z^2 a^{14}+2 z^9 a^{13}-8 z^7 a^{13}+6 z^5 a^{13}-z^3 a^{13}+z a^{13}+z^{10} a^{12}-3 z^8 a^{12}-2 z^4 a^{12}+5 z^2 a^{12}-a^{12}+3 z^9 a^{11}-15 z^7 a^{11}+22 z^5 a^{11}-14 z^3 a^{11}+3 z a^{11}+z^{10} a^{10}-5 z^8 a^{10}+7 z^6 a^{10}-4 z^4 a^{10}+z^9 a^9-6 z^7 a^9+10 z^5 a^9-5 z^3 a^9-z^6 a^8+2 z^4 a^8-z^5 a^7+z^3 a^7+z a^7+z^6 a^6-6 z^4 a^6+8 z^2 a^6-2 a^6 }[/math] |
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