K12n321

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Polynomial invariants

Jones polynomial [math]\displaystyle{ q^{11}-2 q^{10}+2 q^9-3 q^8+2 q^7-q^6+q^5+q^2 }[/math]
Alexander polynomial [math]\displaystyle{ 3 t-5+3 t^{-1} }[/math]
Conway polynomial [math]\displaystyle{ 3 z^2+1 }[/math]
Determinant 11
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^{-4} -z^4 a^{-8} +4 z^2 a^{-4} +z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} -6 z^8 a^{-8} -5 z^8 a^{-10} +z^8 a^{-12} -7 z^7 a^{-7} -20 z^7 a^{-9} -13 z^7 a^{-11} +10 z^6 a^{-8} +4 z^6 a^{-10} -6 z^6 a^{-12} +15 z^5 a^{-7} +41 z^5 a^{-9} +26 z^5 a^{-11} +z^4 a^{-4} -2 z^4 a^{-6} -9 z^4 a^{-8} +4 z^4 a^{-10} +10 z^4 a^{-12} -z^3 a^{-5} -16 z^3 a^{-7} -34 z^3 a^{-9} -19 z^3 a^{-11} -4 z^2 a^{-4} +2 z^2 a^{-6} +8 z^2 a^{-8} -2 z^2 a^{-10} -4 z^2 a^{-12} +7 z a^{-7} +11 z a^{-9} +4 z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math]



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