K12n309
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^6+q^5-q^4+q^3+2- q^{-1} + q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-t^2-t+3- t^{-1} - t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+5 z^4+4 z^2+1 }[/math] |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +6 z^4 a^{-2} -z^4 a^{-4} -a^2 z^2+10 z^2 a^{-2} -4 z^2 a^{-4} -z^2-a^2+5 a^{-2} -3 a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-5} -8 z^8 a^{-2} -8 z^8 a^{-4} -8 z^7 a^{-1} -16 z^7 a^{-3} -8 z^7 a^{-5} +21 z^6 a^{-2} +21 z^6 a^{-4} +20 z^5 a^{-1} +41 z^5 a^{-3} +21 z^5 a^{-5} +a^2 z^4-24 z^4 a^{-2} -22 z^4 a^{-4} -z^4+a^3 z^3+a z^3-19 z^3 a^{-1} -40 z^3 a^{-3} -21 z^3 a^{-5} -2 a^2 z^2+15 z^2 a^{-2} +10 z^2 a^{-4} +3 z^2-2 a^3 z-a z+7 z a^{-1} +13 z a^{-3} +7 z a^{-5} +a^2-5 a^{-2} -3 a^{-4} }[/math] |
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