K12n148
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-3} + q^{-6} -2 q^{-7} +3 q^{-8} -3 q^{-9} +3 q^{-10} -3 q^{-11} +2 q^{-12} - q^{-13} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3+t^2-5 t+7-5 t^{-1} + t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+7 z^4+8 z^2+1 }[/math] |
| Determinant | 17 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^{12}-a^{12}+z^4 a^{10}+2 z^2 a^{10}+a^{10}-2 z^2 a^8-2 a^8+z^6 a^6+6 z^4 a^6+9 z^2 a^6+3 a^6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{15}-5 z^5 a^{15}+6 z^3 a^{15}-2 z a^{15}+2 z^8 a^{14}-10 z^6 a^{14}+12 z^4 a^{14}-4 z^2 a^{14}+2 z^9 a^{13}-10 z^7 a^{13}+12 z^5 a^{13}-5 z^3 a^{13}+2 z a^{13}+z^{10} a^{12}-4 z^8 a^{12}+z^6 a^{12}+2 z^4 a^{12}+2 z^2 a^{12}-a^{12}+3 z^9 a^{11}-18 z^7 a^{11}+31 z^5 a^{11}-20 z^3 a^{11}+4 z a^{11}+z^{10} a^{10}-6 z^8 a^{10}+10 z^6 a^{10}-7 z^4 a^{10}+2 z^2 a^{10}-a^{10}+z^9 a^9-7 z^7 a^9+14 z^5 a^9-11 z^3 a^9+2 z a^9-3 z^4 a^8+5 z^2 a^8-2 a^8-2 z^3 a^7+2 z a^7+z^6 a^6-6 z^4 a^6+9 z^2 a^6-3 a^6 }[/math] |
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