K12n698
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^{-2} -5 q^{-3} +10 q^{-4} -14 q^{-5} +18 q^{-6} -18 q^{-7} +16 q^{-8} -13 q^{-9} +8 q^{-10} -4 q^{-11} + q^{-12} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+12 t^2-25 t+31-25 t^{-1} +12 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+5 z^2+1 }[/math] |
| Determinant | 109 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{10}+z^2 a^{10}-z^6 a^8-2 z^4 a^8-2 z^2 a^8-2 a^8-z^6 a^6-z^4 a^6+2 z^2 a^6+2 a^6+2 z^4 a^4+4 z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+z^2 a^{14}+4 z^7 a^{13}-10 z^5 a^{13}+6 z^3 a^{13}+6 z^8 a^{12}-13 z^6 a^{12}+4 z^4 a^{12}+z^2 a^{12}+5 z^9 a^{11}-7 z^7 a^{11}-3 z^5 a^{11}+2 z^3 a^{11}-z a^{11}+2 z^{10} a^{10}+4 z^8 a^{10}-13 z^6 a^{10}+4 z^4 a^{10}+9 z^9 a^9-21 z^7 a^9+23 z^5 a^9-15 z^3 a^9+4 z a^9+2 z^{10} a^8+z^8 a^8-2 z^6 a^8-2 z^4 a^8+7 z^2 a^8-2 a^8+4 z^9 a^7-9 z^7 a^7+19 z^5 a^7-16 z^3 a^7+6 z a^7+3 z^8 a^6-3 z^6 a^6+3 z^4 a^6+2 z^2 a^6-2 a^6+z^7 a^5+3 z^5 a^5-5 z^3 a^5+z a^5+3 z^4 a^4-5 z^2 a^4+a^4 }[/math] |
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