K13n3185

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Polynomial invariants

Jones polynomial Data:K13n3185/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -4 t^2+11 t-13+11 t^{-1} -4 t^{-2} }[/math]
Conway polynomial Data:K13n3185/Conway Polynomial
Determinant 43
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^4+a^4-z^4 a^2-z^2 a^2+a^2-2 z^4-5 z^2-3-z^4 a^{-2} -z^2 a^{-2} + a^{-2} +z^2 a^{-4} + a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+2 a^3 z^9-4 a z^9-6 z^9 a^{-1} +a^4 z^8-10 a^2 z^8-6 z^8 a^{-2} -17 z^8-11 a^3 z^7+4 a z^7+16 z^7 a^{-1} +z^7 a^{-3} -6 a^4 z^6+13 a^2 z^6+16 z^6 a^{-2} +35 z^6+17 a^3 z^5-7 a z^5-25 z^5 a^{-1} -z^5 a^{-3} +11 a^4 z^4-5 a^2 z^4-21 z^4 a^{-2} +3 z^4 a^{-4} -40 z^4-7 a^3 z^3+12 a z^3+16 z^3 a^{-1} -z^3 a^{-3} +2 z^3 a^{-5} -7 a^4 z^2+3 a^2 z^2+8 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} +22 z^2-5 a z-5 z a^{-1} +a^4-a^2- a^{-2} + a^{-4} -3 }[/math]



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