K12n276
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-3} +2 q^{-6} -3 q^{-7} +4 q^{-8} -5 q^{-9} +4 q^{-10} -4 q^{-11} +3 q^{-12} - q^{-13} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3+t^2-7 t+11-7 t^{-1} + t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+7 z^4+6 z^2+1 }[/math] |
| Determinant | 25 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+z^4 a^{10}+z^2 a^{10}-3 z^2 a^8-3 a^8+z^6 a^6+6 z^4 a^6+9 z^2 a^6+4 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+3 z^3 a^{15}-z a^{15}+3 z^8 a^{14}-14 z^6 a^{14}+15 z^4 a^{14}-4 z^2 a^{14}+3 z^9 a^{13}-14 z^7 a^{13}+14 z^5 a^{13}-z^3 a^{13}-2 z a^{13}+z^{10} a^{12}-z^8 a^{12}-14 z^6 a^{12}+22 z^4 a^{12}-6 z^2 a^{12}+4 z^9 a^{11}-21 z^7 a^{11}+26 z^5 a^{11}-4 z^3 a^{11}-4 z a^{11}+z^{10} a^{10}-4 z^8 a^{10}-z^6 a^{10}+9 z^4 a^{10}-5 z^2 a^{10}+z^9 a^9-6 z^7 a^9+8 z^5 a^9-3 z^3 a^9-4 z^4 a^8+6 z^2 a^8-3 a^8-3 z^3 a^7+3 z a^7+z^6 a^6-6 z^4 a^6+9 z^2 a^6-4 a^6 }[/math] |
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