K13n2438

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Polynomial invariants

Jones polynomial Data:K13n2438/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-9 t^2+22 t-29+22 t^{-1} -9 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n2438/Conway Polynomial
Determinant 95
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+z^6 a^6+3 z^4 a^6+5 z^2 a^6+3 a^6+z^6 a^4+2 z^4 a^4+z^2 a^4-a^4-z^4 a^2+a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+10 z^4 a^{10}-3 z^2 a^{10}+5 z^9 a^9-19 z^7 a^9+21 z^5 a^9-13 z^3 a^9+4 z a^9+4 z^{10} a^8-12 z^8 a^8+7 z^6 a^8-5 z^4 a^8+5 z^2 a^8-2 a^8+z^{11} a^7+6 z^9 a^7-36 z^7 a^7+53 z^5 a^7-35 z^3 a^7+8 z a^7+6 z^{10} a^6-22 z^8 a^6+27 z^6 a^6-17 z^4 a^6+9 z^2 a^6-3 a^6+z^{11} a^5+2 z^9 a^5-20 z^7 a^5+38 z^5 a^5-23 z^3 a^5+4 z a^5+2 z^{10} a^4-7 z^8 a^4+9 z^6 a^4+z^4 a^4-a^4+z^9 a^3-4 z^7 a^3+10 z^5 a^3-5 z^3 a^3+z a^3+3 z^4 a^2-z^2 a^2-a^2 }[/math]



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