K12n528
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-3} - q^{-5} +4 q^{-6} -5 q^{-7} +6 q^{-8} -7 q^{-9} +6 q^{-10} -5 q^{-11} +3 q^{-12} - q^{-13} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3+2 t^2-10 t+15-10 t^{-1} +2 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+8 z^4+7 z^2+1 }[/math] |
| Determinant | 37 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+z^4 a^{10}-a^{10}+z^4 a^8-a^8+z^6 a^6+6 z^4 a^6+8 z^2 a^6+3 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+4 z^3 a^{15}-z a^{15}+3 z^8 a^{14}-13 z^6 a^{14}+14 z^4 a^{14}-4 z^2 a^{14}+3 z^9 a^{13}-12 z^7 a^{13}+10 z^5 a^{13}-2 z^3 a^{13}+z^{10} a^{12}-14 z^6 a^{12}+17 z^4 a^{12}-4 z^2 a^{12}+4 z^9 a^{11}-18 z^7 a^{11}+20 z^5 a^{11}-5 z^3 a^{11}-2 z a^{11}+z^{10} a^{10}-3 z^8 a^{10}-3 z^6 a^{10}+10 z^4 a^{10}-6 z^2 a^{10}+a^{10}+z^9 a^9-5 z^7 a^9+5 z^5 a^9+z^3 a^9-z a^9-z^6 a^8+z^4 a^8+2 z^2 a^8-a^8-z^5 a^7+2 z a^7+z^6 a^6-6 z^4 a^6+8 z^2 a^6-3 a^6 }[/math] |
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