K13n1933

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Polynomial invariants

Jones polynomial Data:K13n1933/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^4+9 t^3-17 t^2+21 t-21+21 t^{-1} -17 t^{-2} +9 t^{-3} -2 t^{-4} }[/math]
Conway polynomial Data:K13n1933/Conway Polynomial
Determinant 119
Signature 6
HOMFLY-PT polynomial [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -5 z^6 a^{-8} +z^6 a^{-10} +4 z^4 a^{-4} -3 z^4 a^{-6} -9 z^4 a^{-8} +5 z^4 a^{-10} +5 z^2 a^{-4} +2 z^2 a^{-6} -10 z^2 a^{-8} +6 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} +2 a^{-6} -5 a^{-8} +2 a^{-10} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +11 z^{10} a^{-8} +7 z^{10} a^{-10} +3 z^9 a^{-5} +2 z^9 a^{-7} +7 z^9 a^{-9} +8 z^9 a^{-11} +z^8 a^{-4} -14 z^8 a^{-6} -43 z^8 a^{-8} -25 z^8 a^{-10} +3 z^8 a^{-12} -13 z^7 a^{-5} -34 z^7 a^{-7} -53 z^7 a^{-9} -32 z^7 a^{-11} -5 z^6 a^{-4} +9 z^6 a^{-6} +50 z^6 a^{-8} +30 z^6 a^{-10} -6 z^6 a^{-12} +17 z^5 a^{-5} +52 z^5 a^{-7} +81 z^5 a^{-9} +49 z^5 a^{-11} +3 z^5 a^{-13} +9 z^4 a^{-4} +3 z^4 a^{-6} -32 z^4 a^{-8} -20 z^4 a^{-10} +6 z^4 a^{-12} -7 z^3 a^{-5} -30 z^3 a^{-7} -55 z^3 a^{-9} -31 z^3 a^{-11} +z^3 a^{-13} -7 z^2 a^{-4} +z^2 a^{-6} +17 z^2 a^{-8} +6 z^2 a^{-10} +3 z^2 a^{-14} +9 z a^{-7} +15 z a^{-9} +5 z a^{-11} -z a^{-13} +2 a^{-4} -2 a^{-6} -5 a^{-8} -2 a^{-10} }[/math]



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