K13n3190

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Polynomial invariants

Jones polynomial Data:K13n3190/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^2+8 t-13+8 t^{-1} - t^{-2} }[/math]
Conway polynomial Data:K13n3190/Conway Polynomial
Determinant 31
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6-3 a^6+z^4 a^4+6 z^2 a^4+5 a^4-z^4 a^2-z^2 a^2-a^2-z^4-z^2+z^2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ -a^5 z^9+a z^9-a^4 z^8+2 a^2 z^8+3 z^8+a^7 z^7+7 a^5 z^7+2 a^3 z^7-a z^7+3 z^7 a^{-1} -a^6 z^6+6 a^4 z^6-5 a^2 z^6+z^6 a^{-2} -11 z^6-7 a^7 z^5-18 a^5 z^5-5 a^3 z^5-5 a z^5-11 z^5 a^{-1} +4 a^6 z^4-5 a^4 z^4+3 a^2 z^4-3 z^4 a^{-2} +9 z^4+14 a^7 z^3+24 a^5 z^3+7 a^3 z^3+5 a z^3+8 z^3 a^{-1} -4 a^6 z^2-4 a^4 z^2-2 a^2 z^2+z^2 a^{-2} -z^2-7 a^7 z-11 a^5 z-5 a^3 z-a z+3 a^6+5 a^4+a^2 }[/math]



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