K12n699
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-1} -2 q^{-2} +4 q^{-3} -5 q^{-4} +7 q^{-5} -7 q^{-6} +7 q^{-7} -6 q^{-8} +4 q^{-9} -3 q^{-10} + q^{-11} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^2+12 t-19+12 t^{-1} -2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^4+4 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}-z^4 a^8-z^2 a^8-a^8-z^4 a^6+3 z^2 a^4+2 a^4+z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+7 z^4 a^{12}-3 z^2 a^{12}+3 z^9 a^{11}-17 z^7 a^{11}+29 z^5 a^{11}-16 z^3 a^{11}+z a^{11}+2 z^{10} a^{10}-8 z^8 a^{10}+3 z^6 a^{10}+10 z^4 a^{10}-5 z^2 a^{10}+7 z^9 a^9-37 z^7 a^9+58 z^5 a^9-33 z^3 a^9+7 z a^9+2 z^{10} a^8-6 z^8 a^8-3 z^6 a^8+10 z^4 a^8-z^2 a^8-a^8+4 z^9 a^7-19 z^7 a^7+29 z^5 a^7-23 z^3 a^7+7 z a^7+3 z^8 a^6-11 z^6 a^6+11 z^4 a^6-6 z^2 a^6+z^7 a^5-4 z^3 a^5+z a^5+4 z^4 a^4-6 z^2 a^4+2 a^4+2 z^3 a^3+z^2 a^2 }[/math] |
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