K13n1926

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Polynomial invariants

Jones polynomial Data:K13n1926/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-4 t^2+10 t-13+10 t^{-1} -4 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n1926/Conway Polynomial
Determinant 43
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-6} +4 z^4 a^{-6} -2 z^4 a^{-8} +2 z^2 a^{-4} +5 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +5 z^{10} a^{-8} +3 z^{10} a^{-10} +z^9 a^{-5} -z^9 a^{-7} +z^9 a^{-9} +3 z^9 a^{-11} -11 z^8 a^{-6} -26 z^8 a^{-8} -14 z^8 a^{-10} +z^8 a^{-12} -6 z^7 a^{-5} -17 z^7 a^{-7} -27 z^7 a^{-9} -16 z^7 a^{-11} +16 z^6 a^{-6} +35 z^6 a^{-8} +14 z^6 a^{-10} -5 z^6 a^{-12} +8 z^5 a^{-5} +34 z^5 a^{-7} +51 z^5 a^{-9} +25 z^5 a^{-11} -2 z^4 a^{-4} -12 z^4 a^{-6} -17 z^4 a^{-8} +7 z^4 a^{-12} -z^3 a^{-3} -4 z^3 a^{-5} -20 z^3 a^{-7} -32 z^3 a^{-9} -15 z^3 a^{-11} -z^2 a^{-4} +6 z^2 a^{-6} +8 z^2 a^{-8} -2 z^2 a^{-10} -3 z^2 a^{-12} -z a^{-5} +4 z a^{-7} +8 z a^{-9} +3 z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math]



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