K13n2188

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Polynomial invariants

Jones polynomial Data:K13n2188/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-2 t^2+2 t-1+2 t^{-1} -2 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n2188/Conway Polynomial
Determinant 11
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^8-a^8+z^4 a^6+2 z^2 a^6+a^6+z^6 a^2+4 z^4 a^2+4 z^2 a^2+a^2-z^4-2 z^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+4 a^6 z^{10}+2 a^4 z^{10}+a^9 z^9-4 a^7 z^9-4 a^5 z^9+a^3 z^9-14 a^8 z^8-29 a^6 z^8-14 a^4 z^8+a^2 z^8-7 a^9 z^7-7 a^7 z^7-9 a^5 z^7-6 a^3 z^7+3 a z^7+31 a^8 z^6+61 a^6 z^6+26 a^4 z^6-a^2 z^6+3 z^6+16 a^9 z^5+36 a^7 z^5+39 a^5 z^5+10 a^3 z^5-8 a z^5+z^5 a^{-1} -28 a^8 z^4-45 a^6 z^4-14 a^4 z^4-5 a^2 z^4-8 z^4-15 a^9 z^3-35 a^7 z^3-30 a^5 z^3-6 a^3 z^3+2 a z^3-2 z^3 a^{-1} +10 a^8 z^2+12 a^6 z^2+3 a^4 z^2+4 a^2 z^2+3 z^2+5 a^9 z+9 a^7 z+6 a^5 z+2 a^3 z-a^8-a^6-a^2 }[/math]



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