K13n2264

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Polynomial invariants

Jones polynomial Data:K13n2264/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-5 t^2+16 t-23+16 t^{-1} -5 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n2264/Conway Polynomial
Determinant 67
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^8-z^4 a^6-z^2 a^6-a^6+z^6 a^4+4 z^4 a^4+8 z^2 a^4+4 a^4-2 z^4 a^2-3 z^2 a^2-a^2+z^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+4 a^5 z^9+2 a^3 z^9+a^8 z^8+a^2 z^8-6 a^7 z^7-11 a^5 z^7-5 a^3 z^7-5 a^6 z^6-4 a^4 z^6+a^2 z^6+3 a^9 z^5+10 a^7 z^5+11 a^5 z^5+8 a^3 z^5+4 a z^5-5 a^8 z^4+9 a^6 z^4+12 a^4 z^4-a^2 z^4+z^4-9 a^9 z^3-12 a^7 z^3+2 a^5 z^3-5 a z^3+2 a^8 z^2-6 a^6 z^2-9 a^4 z^2-2 a^2 z^2-z^2+5 a^9 z+4 a^7 z-3 a^5 z-3 a^3 z-a z-a^8+a^6+4 a^4+a^2 }[/math]



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