K13n3625

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Polynomial invariants

Jones polynomial Data:K13n3625/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+6 t^3-18 t^2+35 t-43+35 t^{-1} -18 t^{-2} +6 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3625/Conway Polynomial
Determinant 163
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^4 z^8+a^6 z^6-5 a^4 z^6+2 a^2 z^6+3 a^6 z^4-10 a^4 z^4+6 a^2 z^4-z^4+3 a^6 z^2-7 a^4 z^2+6 a^2 z^2-z^2-a^4+2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+7 a^6 z^{10}+10 a^4 z^{10}+3 a^2 z^{10}+10 a^7 z^9+9 a^5 z^9+a z^9+8 a^8 z^8-13 a^6 z^8-27 a^4 z^8-6 a^2 z^8+4 a^9 z^7-27 a^7 z^7-36 a^5 z^7+5 a z^7+a^{10} z^6-20 a^8 z^6+5 a^6 z^6+40 a^4 z^6+19 a^2 z^6+5 z^6-9 a^9 z^5+26 a^7 z^5+49 a^5 z^5+6 a^3 z^5-7 a z^5+z^5 a^{-1} -2 a^{10} z^4+13 a^8 z^4+4 a^6 z^4-29 a^4 z^4-25 a^2 z^4-7 z^4+3 a^9 z^3-11 a^7 z^3-25 a^5 z^3-11 a^3 z^3-a z^3-z^3 a^{-1} -3 a^8 z^2-a^6 z^2+10 a^4 z^2+10 a^2 z^2+2 z^2+a^7 z+4 a^5 z+4 a^3 z+a z-a^4-2 a^2 }[/math]



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