K12n882
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{-3} -4 q^{-4} +9 q^{-5} -12 q^{-6} +15 q^{-7} -17 q^{-8} +15 q^{-9} -12 q^{-10} +8 q^{-11} -4 q^{-12} + q^{-13} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-13 t^2+19 t-21+19 t^{-1} -13 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-2 z^6+3 z^4+5 z^2+1 }[/math] |
| Determinant | 99 |
| Signature | -6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{10}+3 z^4 a^{10}+2 z^2 a^{10}+a^{10}-z^8 a^8-5 z^6 a^8-9 z^4 a^8-9 z^2 a^8-5 a^8+2 z^6 a^6+9 z^4 a^6+12 z^2 a^6+5 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{16}+4 z^5 a^{15}-2 z^3 a^{15}+8 z^6 a^{14}-8 z^4 a^{14}+2 z^2 a^{14}+10 z^7 a^{13}-13 z^5 a^{13}+6 z^3 a^{13}-z a^{13}+8 z^8 a^{12}-7 z^6 a^{12}-4 z^4 a^{12}+3 z^2 a^{12}+4 z^9 a^{11}+4 z^7 a^{11}-21 z^5 a^{11}+15 z^3 a^{11}-3 z a^{11}+z^{10} a^{10}+8 z^8 a^{10}-18 z^6 a^{10}+4 z^4 a^{10}+3 z^2 a^{10}-a^{10}+5 z^9 a^9-7 z^7 a^9-5 z^5 a^9+4 z^3 a^9+2 z a^9+z^{10} a^8-12 z^4 a^8+15 z^2 a^8-5 a^8+z^9 a^7-z^7 a^7-z^5 a^7-3 z^3 a^7+4 z a^7+3 z^6 a^6-11 z^4 a^6+13 z^2 a^6-5 a^6 }[/math] |
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