K13n4030

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Polynomial invariants

Jones polynomial Data:K13n4030/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-6 t^3+16 t^2-26 t+31-26 t^{-1} +16 t^{-2} -6 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n4030/Conway Polynomial
Determinant 129
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+4 a^2 z^6-z^6-2 a^4 z^4+4 a^2 z^4-2 z^4+1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+7 a^4 z^{10}+10 a^2 z^{10}+3 z^{10}+9 a^5 z^9+7 a^3 z^9-a z^9+z^9 a^{-1} +5 a^6 z^8-17 a^4 z^8-34 a^2 z^8-12 z^8+a^7 z^7-28 a^5 z^7-39 a^3 z^7-14 a z^7-4 z^7 a^{-1} -14 a^6 z^6+a^4 z^6+36 a^2 z^6+21 z^6-2 a^7 z^5+18 a^5 z^5+36 a^3 z^5+27 a z^5+11 z^5 a^{-1} +8 a^6 z^4+4 a^4 z^4-14 a^2 z^4+2 z^4 a^{-2} -8 z^4+a^7 z^3-a^5 z^3-9 a^3 z^3-11 a z^3-4 z^3 a^{-1} +1 }[/math]



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