K13n2800

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Polynomial invariants

Jones polynomial Data:K13n2800/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 3 t^2-9 t+13-9 t^{-1} +3 t^{-2} }[/math]
Conway polynomial Data:K13n2800/Conway Polynomial
Determinant 37
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^8-a^8+z^4 a^6+z^2 a^6+2 z^4 a^4+5 z^2 a^4+3 a^4-2 z^2 a^2-2 a^2+1 }[/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^9-3 a^7 z^9-2 a^5 z^9+2 a^3 z^9-13 a^8 z^8-22 a^6 z^8-8 a^4 z^8+a^2 z^8-7 a^9 z^7-7 a^7 z^7-10 a^5 z^7-10 a^3 z^7+28 a^8 z^6+33 a^6 z^6-a^4 z^6-6 a^2 z^6+17 a^9 z^5+26 a^7 z^5+19 a^5 z^5+10 a^3 z^5-24 a^8 z^4-14 a^6 z^4+19 a^4 z^4+9 a^2 z^4-16 a^9 z^3-20 a^7 z^3-4 a^5 z^3-2 a^3 z^3-2 a z^3+8 a^8 z^2+2 a^6 z^2-14 a^4 z^2-9 a^2 z^2-z^2+4 a^9 z+4 a^7 z-a^5 z-a^3 z-a^8+3 a^4+2 a^2+1 }[/math]



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