K12n737
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^8-3 q^7+4 q^6-6 q^5+7 q^4-6 q^3+7 q^2-5 q+3-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+7 t^2-9 t+9-9 t^{-1} +7 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-5 z^4+z^2+1 }[/math] |
| Determinant | 45 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -4 z^4 a^{-2} -3 z^4 a^{-4} +z^4 a^{-6} +z^4-4 z^2 a^{-2} +2 z^2 a^{-6} +3 z^2- a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +4 z^9 a^{-3} +7 z^9 a^{-5} +3 z^9 a^{-7} +3 z^8 a^{-2} -6 z^8 a^{-4} -8 z^8 a^{-6} +z^8 a^{-8} +z^7 a^{-1} -19 z^7 a^{-3} -37 z^7 a^{-5} -17 z^7 a^{-7} -12 z^6 a^{-2} -4 z^6 a^{-4} +3 z^6 a^{-6} -5 z^6 a^{-8} -z^5 a^{-1} +26 z^5 a^{-3} +56 z^5 a^{-5} +29 z^5 a^{-7} +13 z^4 a^{-2} +12 z^4 a^{-4} +9 z^4 a^{-6} +7 z^4 a^{-8} +3 z^4+2 a z^3-2 z^3 a^{-1} -15 z^3 a^{-3} -27 z^3 a^{-5} -16 z^3 a^{-7} +a^2 z^2-7 z^2 a^{-2} -3 z^2 a^{-4} -4 z^2 a^{-6} -3 z^2 a^{-8} -4 z^2-a z-z a^{-1} +2 z a^{-3} +2 z a^{-5} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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