K13n2006

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Polynomial invariants

Jones polynomial Data:K13n2006/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 4 t^2-12 t+17-12 t^{-1} +4 t^{-2} }[/math]
Conway polynomial Data:K13n2006/Conway Polynomial
Determinant 49
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+4 z^2 a^4+2 a^4+z^4 a^2+z^2 a^2-z^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+5 a^6 z^{10}+3 a^4 z^{10}+a^9 z^9-2 a^7 z^9+a^5 z^9+4 a^3 z^9-13 a^8 z^8-28 a^6 z^8-12 a^4 z^8+3 a^2 z^8-7 a^9 z^7-14 a^7 z^7-27 a^5 z^7-19 a^3 z^7+a z^7+28 a^8 z^6+46 a^6 z^6+4 a^4 z^6-14 a^2 z^6+17 a^9 z^5+44 a^7 z^5+53 a^5 z^5+22 a^3 z^5-4 a z^5-24 a^8 z^4-25 a^6 z^4+14 a^4 z^4+15 a^2 z^4-17 a^9 z^3-39 a^7 z^3-33 a^5 z^3-9 a^3 z^3+2 a z^3+8 a^8 z^2+3 a^6 z^2-10 a^4 z^2-5 a^2 z^2+6 a^9 z+10 a^7 z+6 a^5 z+2 a^3 z-a^8+2 a^4 }[/math]



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