K12n200

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Polynomial invariants

Jones polynomial [math]\displaystyle{ 2 q^{-4} - q^{-5} +2 q^{-6} -2 q^{-7} + q^{-8} - q^{-9} }[/math]
Alexander polynomial [math]\displaystyle{ 2 t^2-2 t+1-2 t^{-1} +2 t^{-2} }[/math]
Conway polynomial [math]\displaystyle{ 2 z^4+6 z^2+1 }[/math]
Determinant 9
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^8-2 a^8+z^4 a^6+3 z^2 a^6+a^6+z^4 a^4+4 z^2 a^4+3 a^4-a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^8 z^{10}+a^6 z^{10}+a^9 z^9+3 a^7 z^9+2 a^5 z^9-7 a^8 z^8-5 a^6 z^8+2 a^4 z^8-8 a^9 z^7-22 a^7 z^7-13 a^5 z^7+a^3 z^7+15 a^8 z^6+2 a^6 z^6-13 a^4 z^6+22 a^9 z^5+52 a^7 z^5+24 a^5 z^5-6 a^3 z^5-11 a^8 z^4+12 a^6 z^4+23 a^4 z^4-25 a^9 z^3-48 a^7 z^3-16 a^5 z^3+7 a^3 z^3+3 a^8 z^2-9 a^6 z^2-14 a^4 z^2-2 a^2 z^2+10 a^9 z+15 a^7 z+5 a^5 z-a^3 z-a z-2 a^8-a^6+3 a^4+a^2 }[/math]



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