K12n149
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-2} - q^{-3} +2 q^{-4} -2 q^{-5} +2 q^{-6} - q^{-7} + q^{-9} - q^{-10} + q^{-11} - q^{-12} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-t-1- t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+7 z^2+1 }[/math] |
| Determinant | 5 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+z^2 a^{10}+a^{10}-a^8+z^4 a^6+3 z^2 a^6+a^6+z^4 a^4+3 z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-8 z^7 a^{13}+21 z^5 a^{13}-21 z^3 a^{13}+7 z a^{13}+z^{10} a^{12}-8 z^8 a^{12}+21 z^6 a^{12}-22 z^4 a^{12}+9 z^2 a^{12}-a^{12}+2 z^9 a^{11}-16 z^7 a^{11}+40 z^5 a^{11}-36 z^3 a^{11}+9 z a^{11}+z^{10} a^{10}-8 z^8 a^{10}+20 z^6 a^{10}-19 z^4 a^{10}+7 z^2 a^{10}-a^{10}+z^9 a^9-8 z^7 a^9+19 z^5 a^9-15 z^3 a^9+4 z a^9-z^4 a^8+4 z^2 a^8-a^8+z^5 a^7-2 z^3 a^7+2 z a^7+z^6 a^6-3 z^4 a^6+3 z^2 a^6-a^6+z^5 a^5-2 z^3 a^5+z^4 a^4-3 z^2 a^4+a^4 }[/math] |
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