K13n1672

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Polynomial invariants

Jones polynomial Data:K13n1672/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -6 t^2+22 t-31+22 t^{-1} -6 t^{-2} }[/math]
Conway polynomial Data:K13n1672/Conway Polynomial
Determinant 87
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}+a^{10}-z^4 a^8-3 z^4 a^6-5 z^2 a^6-3 a^6-2 z^4 a^4-z^2 a^4+a^4+3 z^2 a^2+2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 a^{12}-6 z^6 a^{12}+12 z^4 a^{12}-8 z^2 a^{12}+2 z^9 a^{11}-10 z^7 a^{11}+16 z^5 a^{11}-9 z^3 a^{11}+2 z a^{11}+2 z^{10} a^{10}-7 z^8 a^{10}+4 z^6 a^{10}+3 z^4 a^{10}+z^2 a^{10}-a^{10}+z^{11} a^9-z^9 a^9-2 z^7 a^9-11 z^5 a^9+21 z^3 a^9-5 z a^9+4 z^{10} a^8-12 z^8 a^8+10 z^6 a^8-12 z^4 a^8+8 z^2 a^8+z^{11} a^7-z^9 a^7+7 z^7 a^7-34 z^5 a^7+35 z^3 a^7-13 z a^7+2 z^{10} a^6-3 z^8 a^6+2 z^6 a^6-5 z^4 a^6-5 z^2 a^6+3 a^6+2 z^9 a^5-z^7 a^5-4 z^5 a^5+6 z^3 a^5-5 z a^5+z^8 a^4+2 z^6 a^4-2 z^4 a^4+z^2 a^4+a^4+3 z^5 a^3+z^3 a^3+z a^3+5 z^2 a^2-2 a^2 }[/math]



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