K12n644

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Polynomial invariants

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



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