K13n1931

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Polynomial invariants

Jones polynomial Data:K13n1931/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+8 t^2-20 t+27-20 t^{-1} +8 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n1931/Conway Polynomial
Determinant 85
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6+3 a^2 z^4+z^4 a^{-2} -2 z^4-2 a^4 z^2+6 a^2 z^2-z^2-2 a^4+3 a^2- a^{-2} +1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^2 z^{10}+z^{10}+2 a^3 z^9+4 a z^9+2 z^9 a^{-1} +a^4 z^8+a^2 z^8+z^8 a^{-2} +z^8-3 a^3 z^7-4 a z^7-z^7 a^{-1} +2 a^4 z^6+4 a^2 z^6+5 z^6 a^{-2} +7 z^6+3 a^5 z^5+7 a^3 z^5+5 a z^5+6 z^5 a^{-1} +5 z^5 a^{-3} -8 a^4 z^4-16 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} -15 z^4-7 a^5 z^3-14 a^3 z^3-10 a z^3-6 z^3 a^{-1} -3 z^3 a^{-3} +6 a^4 z^2+11 a^2 z^2+z^2 a^{-2} +6 z^2+4 a^5 z+7 a^3 z+4 a z-z a^{-3} -2 a^4-3 a^2+ a^{-2} +1 }[/math]



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