K12n660
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-3} -2 q^{-5} +5 q^{-6} -6 q^{-7} +8 q^{-8} -8 q^{-9} +7 q^{-10} -6 q^{-11} +3 q^{-12} - q^{-13} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3+3 t^2-12 t+17-12 t^{-1} +3 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+9 z^4+9 z^2+1 }[/math] |
| Determinant | 45 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}+z^4 a^{10}-z^2 a^{10}-3 a^{10}+2 z^4 a^8+4 z^2 a^8+3 a^8+z^6 a^6+6 z^4 a^6+7 z^2 a^6+a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-4 z^5 a^{15}+5 z^3 a^{15}-2 z a^{15}+3 z^8 a^{14}-12 z^6 a^{14}+12 z^4 a^{14}-3 z^2 a^{14}+3 z^9 a^{13}-10 z^7 a^{13}+4 z^5 a^{13}+2 z^3 a^{13}+z a^{13}+z^{10} a^{12}+z^8 a^{12}-15 z^6 a^{12}+14 z^4 a^{12}-2 z^2 a^{12}+4 z^9 a^{11}-15 z^7 a^{11}+12 z^5 a^{11}-z^3 a^{11}-z a^{11}+z^{10} a^{10}-2 z^8 a^{10}-6 z^6 a^{10}+16 z^4 a^{10}-14 z^2 a^{10}+3 a^{10}+z^9 a^9-4 z^7 a^9+2 z^5 a^9+6 z^3 a^9-4 z a^9-2 z^6 a^8+8 z^4 a^8-8 z^2 a^8+3 a^8-2 z^5 a^7+4 z^3 a^7+z^6 a^6-6 z^4 a^6+7 z^2 a^6-a^6 }[/math] |
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