K13n2327

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Polynomial invariants

Jones polynomial Data:K13n2327/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+14 t^2-37 t+51-37 t^{-1} +14 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2327/Conway Polynomial
Determinant 157
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+z^2 a^4-a^4-z^6 a^2+2 z^2 a^2+2 a^2-z^6-z^4-z^2+z^4 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+8 a^4 z^{10}+14 a^2 z^{10}+6 z^{10}+8 a^5 z^9+4 a^3 z^9+4 z^9 a^{-1} +4 a^6 z^8-26 a^4 z^8-49 a^2 z^8+z^8 a^{-2} -18 z^8+a^7 z^7-29 a^5 z^7-42 a^3 z^7-17 a z^7-5 z^7 a^{-1} -13 a^6 z^6+22 a^4 z^6+63 a^2 z^6+7 z^6 a^{-2} +35 z^6-3 a^7 z^5+30 a^5 z^5+58 a^3 z^5+30 a z^5+10 z^5 a^{-1} +5 z^5 a^{-3} +9 a^6 z^4-7 a^4 z^4-39 a^2 z^4-8 z^4 a^{-2} +z^4 a^{-4} -32 z^4+a^7 z^3-13 a^5 z^3-27 a^3 z^3-19 a z^3-9 z^3 a^{-1} -3 z^3 a^{-3} -2 a^6 z^2+3 a^4 z^2+13 a^2 z^2+2 z^2 a^{-2} +10 z^2+2 a^5 z+4 a^3 z+3 a z+z a^{-1} -a^4-2 a^2 }[/math]



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