K13n1394

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Polynomial invariants

Jones polynomial Data:K13n1394/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^2+10 t-15+10 t^{-1} -2 t^{-2} }[/math]
Conway polynomial Data:K13n1394/Conway Polynomial
Determinant 39
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}-z^4 a^8-z^2 a^8-z^4 a^6-z^2 a^6-a^6+2 z^2 a^4+a^4+z^2 a^2+a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 a^{12}-5 z^6 a^{12}+6 z^4 a^{12}-z^2 a^{12}+3 z^9 a^{11}-17 z^7 a^{11}+27 z^5 a^{11}-12 z^3 a^{11}+z a^{11}+3 z^{10} a^{10}-17 z^8 a^{10}+28 z^6 a^{10}-16 z^4 a^{10}+3 z^2 a^{10}+z^{11} a^9-2 z^9 a^9-11 z^7 a^9+27 z^5 a^9-17 z^3 a^9+3 z a^9+4 z^{10} a^8-24 z^8 a^8+46 z^6 a^8-37 z^4 a^8+9 z^2 a^8+z^{11} a^7-5 z^9 a^7+7 z^7 a^7-4 z^5 a^7-2 z^3 a^7+z a^7+z^{10} a^6-6 z^8 a^6+13 z^6 a^6-14 z^4 a^6+3 z^2 a^6+a^6+z^7 a^5-4 z^5 a^5+4 z^3 a^5-z a^5+z^4 a^4-z^2 a^4+a^4+z^3 a^3+z^2 a^2-a^2 }[/math]



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