K12n120

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Polynomial invariants

Jones polynomial [math]\displaystyle{ 2 q^{-3} -2 q^{-4} +3 q^{-5} -3 q^{-6} +3 q^{-7} -3 q^{-8} +2 q^{-9} - q^{-10} }[/math]
Alexander polynomial [math]\displaystyle{ t^3-2 t^2+4 t-5+4 t^{-1} -2 t^{-2} + t^{-3} }[/math]
Conway polynomial [math]\displaystyle{ z^6+4 z^4+5 z^2+1 }[/math]
Determinant 19
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-2 a^8+z^6 a^6+5 z^4 a^6+7 z^2 a^6+2 a^6+z^2 a^4+a^4 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+6 z^3 a^{11}-2 z a^{11}+2 z^8 a^{10}-10 z^6 a^{10}+12 z^4 a^{10}-4 z^2 a^{10}+2 z^9 a^9-10 z^7 a^9+12 z^5 a^9-5 z^3 a^9+2 z a^9+z^{10} a^8-4 z^8 a^8+z^6 a^8+2 z^4 a^8+3 z^2 a^8-2 a^8+3 z^9 a^7-18 z^7 a^7+32 z^5 a^7-23 z^3 a^7+6 z a^7+z^{10} a^6-6 z^8 a^6+11 z^6 a^6-11 z^4 a^6+7 z^2 a^6-2 a^6+z^9 a^5-7 z^7 a^5+15 z^5 a^5-13 z^3 a^5+3 z a^5-z^4 a^4+a^4-z^3 a^3+z a^3 }[/math]



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