K12n96

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Polynomial invariants

Jones polynomial [math]\displaystyle{ q^{14}-2 q^{13}+2 q^{12}-2 q^{11}+q^9-2 q^8+3 q^7-3 q^6+3 q^5-q^4+q^3 }[/math]
Alexander polynomial [math]\displaystyle{ 2 t^3-3 t^2+3-3 t^{-2} +2 t^{-3} }[/math]
Conway polynomial [math]\displaystyle{ 2 z^6+9 z^4+6 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} +4 z^4 a^{-8} +7 z^2 a^{-6} +2 z^2 a^{-8} -z^2 a^{-10} -2 z^2 a^{-12} +3 a^{-6} - a^{-8} -2 a^{-12} + a^{-14} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-12} +z^{10} a^{-14} +z^9 a^{-11} +3 z^9 a^{-13} +2 z^9 a^{-15} +z^8 a^{-8} -7 z^8 a^{-12} -5 z^8 a^{-14} +z^8 a^{-16} +z^7 a^{-7} +2 z^7 a^{-9} -8 z^7 a^{-11} -22 z^7 a^{-13} -13 z^7 a^{-15} +z^6 a^{-6} -3 z^6 a^{-8} +z^6 a^{-10} +13 z^6 a^{-12} +2 z^6 a^{-14} -6 z^6 a^{-16} -3 z^5 a^{-7} -7 z^5 a^{-9} +18 z^5 a^{-11} +47 z^5 a^{-13} +25 z^5 a^{-15} -5 z^4 a^{-6} -4 z^4 a^{-10} -10 z^4 a^{-12} +9 z^4 a^{-14} +10 z^4 a^{-16} +4 z^3 a^{-9} -15 z^3 a^{-11} -37 z^3 a^{-13} -18 z^3 a^{-15} +7 z^2 a^{-6} +2 z^2 a^{-8} +z^2 a^{-10} +7 z^2 a^{-12} -4 z^2 a^{-14} -5 z^2 a^{-16} +2 z a^{-7} -z a^{-9} +3 z a^{-11} +11 z a^{-13} +5 z a^{-15} -3 a^{-6} - a^{-8} -2 a^{-12} - a^{-14} }[/math]



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