K12n273
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+q^7-q^6+q^5+2 q^2-2 q+2-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-3+3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-3 z^4+3 z^2+1 }[/math] |
| Determinant | 5 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -5 z^4 a^{-2} +z^4 a^{-4} +z^4-6 z^2 a^{-2} +5 z^2 a^{-4} +z^2 a^{-6} +3 z^2-2 a^{-2} +3 a^{-4} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-5} -5 z^8 a^{-2} -6 z^8 a^{-4} +z^8-13 z^7 a^{-1} -20 z^7 a^{-3} -7 z^7 a^{-5} +3 z^6 a^{-2} +8 z^6 a^{-4} +z^6 a^{-8} -6 z^6+25 z^5 a^{-1} +38 z^5 a^{-3} +13 z^5 a^{-5} +z^5 a^{-7} +z^5 a^{-9} +8 z^4 a^{-2} -2 z^4 a^{-6} -4 z^4 a^{-8} +10 z^4-16 z^3 a^{-1} -24 z^3 a^{-3} -9 z^3 a^{-5} -5 z^3 a^{-7} -4 z^3 a^{-9} -8 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-6} +3 z^2 a^{-8} -5 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} +3 z a^{-7} +3 z a^{-9} +2 a^{-2} +3 a^{-4} - a^{-8} +1 }[/math] |
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