K12n402
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-3} - q^{-7} +2 q^{-8} - q^{-9} +2 q^{-10} -2 q^{-11} + q^{-12} - q^{-13} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3+t^2-3 t+3-3 t^{-1} + t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+7 z^4+10 z^2+1 }[/math] |
| Determinant | 9 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-2 a^{12}+z^4 a^{10}+3 z^2 a^{10}+2 a^{10}-z^2 a^8-a^8+z^6 a^6+6 z^4 a^6+9 z^2 a^6+2 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-6 z^5 a^{15}+10 z^3 a^{15}-5 z a^{15}+z^8 a^{14}-5 z^6 a^{14}+5 z^4 a^{14}+z^9 a^{13}-5 z^7 a^{13}+5 z^5 a^{13}+z^{10} a^{12}-7 z^8 a^{12}+18 z^6 a^{12}-26 z^4 a^{12}+18 z^2 a^{12}-2 a^{12}+2 z^9 a^{11}-14 z^7 a^{11}+31 z^5 a^{11}-27 z^3 a^{11}+6 z a^{11}+z^{10} a^{10}-8 z^8 a^{10}+22 z^6 a^{10}-27 z^4 a^{10}+13 z^2 a^{10}-2 a^{10}+z^9 a^9-8 z^7 a^9+20 z^5 a^9-18 z^3 a^9+2 z a^9-2 z^4 a^8+4 z^2 a^8-a^8-z^3 a^7+z a^7+z^6 a^6-6 z^4 a^6+9 z^2 a^6-2 a^6 }[/math] |
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