K13n2956

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Polynomial invariants

Jones polynomial Data:K13n2956/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -6 t^2+25 t-37+25 t^{-1} -6 t^{-2} }[/math]
Conway polynomial Data:K13n2956/Conway Polynomial
Determinant 99
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -2 z^4 a^{-4} -3 z^4 a^{-6} -z^4 a^{-8} +3 z^2 a^{-2} -z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +z^2 a^{-10} +2 a^{-2} - a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +7 z^{10} a^{-8} +3 z^{10} a^{-10} +6 z^9 a^{-5} +9 z^9 a^{-7} +6 z^9 a^{-9} +3 z^9 a^{-11} +3 z^8 a^{-4} -9 z^8 a^{-6} -23 z^8 a^{-8} -10 z^8 a^{-10} +z^8 a^{-12} -26 z^7 a^{-5} -53 z^7 a^{-7} -42 z^7 a^{-9} -15 z^7 a^{-11} -10 z^6 a^{-4} -8 z^6 a^{-6} +10 z^6 a^{-8} +3 z^6 a^{-10} -5 z^6 a^{-12} +3 z^5 a^{-3} +44 z^5 a^{-5} +83 z^5 a^{-7} +67 z^5 a^{-9} +25 z^5 a^{-11} +14 z^4 a^{-4} +23 z^4 a^{-6} +10 z^4 a^{-8} +9 z^4 a^{-10} +8 z^4 a^{-12} -3 z^3 a^{-3} -33 z^3 a^{-5} -59 z^3 a^{-7} -46 z^3 a^{-9} -17 z^3 a^{-11} +3 z^2 a^{-2} -3 z^2 a^{-4} -10 z^2 a^{-6} -4 z^2 a^{-8} -4 z^2 a^{-10} -4 z^2 a^{-12} +2 z a^{-3} +8 z a^{-5} +15 z a^{-7} +13 z a^{-9} +4 z a^{-11} -2 a^{-2} - a^{-4} }[/math]



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