K12n432
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-2} -2 q^{-3} +4 q^{-4} -4 q^{-5} +4 q^{-6} -3 q^{-7} +2 q^{-8} - q^{-10} + q^{-11} - q^{-12} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^2-4 t+3-4 t^{-1} +3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^4+8 z^2+1 }[/math] |
| Determinant | 17 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+z^2 a^{10}+a^{10}-z^2 a^8-2 a^8+2 z^4 a^6+6 z^2 a^6+3 a^6+z^4 a^4+2 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-8 z^7 a^{13}+21 z^5 a^{13}-22 z^3 a^{13}+8 z a^{13}+z^{10} a^{12}-8 z^8 a^{12}+20 z^6 a^{12}-19 z^4 a^{12}+7 z^2 a^{12}-a^{12}+2 z^9 a^{11}-17 z^7 a^{11}+44 z^5 a^{11}-40 z^3 a^{11}+10 z a^{11}+z^{10} a^{10}-8 z^8 a^{10}+19 z^6 a^{10}-14 z^4 a^{10}+3 z^2 a^{10}-a^{10}+z^9 a^9-8 z^7 a^9+21 z^5 a^9-17 z^3 a^9+4 z a^9+2 z^6 a^8-4 z^4 a^8+6 z^2 a^8-2 a^8+z^7 a^7-2 z^3 a^7+2 z a^7+3 z^6 a^6-8 z^4 a^6+8 z^2 a^6-3 a^6+2 z^5 a^5-3 z^3 a^5+z^4 a^4-2 z^2 a^4 }[/math] |
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