K13n2954

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Polynomial invariants

Jones polynomial Data:K13n2954/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t+5-2 t^{-1} }[/math]
Conway polynomial Data:K13n2954/Conway Polynomial
Determinant 9
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6+z^4 a^4+z^2 a^4+z^4 a^2+2 z^2 a^2+a^2-z^4-3 z^2-z^4 a^{-2} -2 z^2 a^{-2} - a^{-2} +z^2 a^{-4} + a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+z^{10} a^{-2} +z^{10}+3 a^5 z^9+4 a^3 z^9+3 a z^9+4 z^9 a^{-1} +2 z^9 a^{-3} +3 a^6 z^8-a^4 z^8-5 a^2 z^8-3 z^8 a^{-2} +z^8 a^{-4} -5 z^8+a^7 z^7-14 a^5 z^7-25 a^3 z^7-24 a z^7-26 z^7 a^{-1} -12 z^7 a^{-3} -14 a^6 z^6-15 a^4 z^6-a^2 z^6-7 z^6 a^{-2} -6 z^6 a^{-4} -z^6-4 a^7 z^5+16 a^5 z^5+44 a^3 z^5+50 a z^5+48 z^5 a^{-1} +22 z^5 a^{-3} +16 a^6 z^4+25 a^4 z^4+10 a^2 z^4+20 z^4 a^{-2} +11 z^4 a^{-4} +10 z^4+3 a^7 z^3-8 a^5 z^3-33 a^3 z^3-42 a z^3-36 z^3 a^{-1} -16 z^3 a^{-3} -5 a^6 z^2-10 a^4 z^2-3 a^2 z^2-11 z^2 a^{-2} -7 z^2 a^{-4} -2 z^2+2 a^5 z+8 a^3 z+12 a z+10 z a^{-1} +4 z a^{-3} -a^2+ a^{-2} + a^{-4} }[/math]



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