K12n823
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{-2} -5 q^{-3} +10 q^{-4} -14 q^{-5} +17 q^{-6} -17 q^{-7} +16 q^{-8} -12 q^{-9} +7 q^{-10} -4 q^{-11} + q^{-12} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-24 t+29-24 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+6 z^2+1 }[/math] |
| Determinant | 105 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+z^2 a^{10}-a^{10}-z^6 a^8-2 z^4 a^8-z^2 a^8-z^6 a^6-z^4 a^6+2 z^2 a^6+a^6+2 z^4 a^4+4 z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+4 z^7 a^{13}-11 z^5 a^{13}+7 z^3 a^{13}+6 z^8 a^{12}-16 z^6 a^{12}+12 z^4 a^{12}-3 z^2 a^{12}+4 z^9 a^{11}-2 z^7 a^{11}-16 z^5 a^{11}+19 z^3 a^{11}-6 z a^{11}+z^{10} a^{10}+10 z^8 a^{10}-29 z^6 a^{10}+25 z^4 a^{10}-10 z^2 a^{10}+a^{10}+6 z^9 a^9-3 z^7 a^9-15 z^5 a^9+18 z^3 a^9-6 z a^9+z^{10} a^8+6 z^8 a^8-9 z^6 a^8+3 z^4 a^8+2 z^9 a^7+4 z^7 a^7-7 z^5 a^7+3 z^3 a^7+2 z^8 a^6+3 z^6 a^6-5 z^4 a^6+3 z^2 a^6-a^6+z^7 a^5+3 z^5 a^5-3 z^3 a^5+3 z^4 a^4-4 z^2 a^4+a^4 }[/math] |
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