K12n121

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Polynomial invariants

Jones polynomial [math]\displaystyle{ q^{-1} - q^{-2} + q^{-3} + q^{-6} - q^{-7} + q^{-8} - q^{-9} }[/math]
Alexander polynomial [math]\displaystyle{ t^2-1+ t^{-2} }[/math]
Conway polynomial [math]\displaystyle{ z^4+4 z^2+1 }[/math]
Determinant 1
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^8-2 a^8+z^4 a^6+4 z^2 a^6+3 a^6-a^4+z^2 a^2+a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^8 z^{10}+a^6 z^{10}+a^9 z^9+2 a^7 z^9+a^5 z^9-8 a^8 z^8-8 a^6 z^8-8 a^9 z^7-16 a^7 z^7-8 a^5 z^7+21 a^8 z^6+21 a^6 z^6+21 a^9 z^5+41 a^7 z^5+20 a^5 z^5-22 a^8 z^4-23 a^6 z^4-a^4 z^4-21 a^9 z^3-39 a^7 z^3-18 a^5 z^3+10 a^8 z^2+12 a^6 z^2+3 a^4 z^2+a^2 z^2+7 a^9 z+11 a^7 z+5 a^5 z+a^3 z-2 a^8-3 a^6-a^4-a^2 }[/math]



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