K13n2583

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Polynomial invariants

Jones polynomial Data:K13n2583/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -4 t^2+16 t-23+16 t^{-1} -4 t^{-2} }[/math]
Conway polynomial Data:K13n2583/Conway Polynomial
Determinant 63
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^{10}+a^{10}-z^4 a^8-z^2 a^8-a^8-2 z^4 a^6-3 z^2 a^6-2 a^6-z^4 a^4+z^2 a^4+2 a^4+2 z^2 a^2+a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^8 a^{12}-6 z^6 a^{12}+11 z^4 a^{12}-6 z^2 a^{12}+2 z^9 a^{11}-11 z^7 a^{11}+19 z^5 a^{11}-13 z^3 a^{11}+4 z a^{11}+2 z^{10} a^{10}-9 z^8 a^{10}+10 z^6 a^{10}-2 z^4 a^{10}-a^{10}+z^{11} a^9-2 z^9 a^9-5 z^7 a^9+9 z^5 a^9-6 z^3 a^9+4 z a^9+4 z^{10} a^8-18 z^8 a^8+25 z^6 a^8-18 z^4 a^8+6 z^2 a^8-a^8+z^{11} a^7-2 z^9 a^7-z^7 a^7-4 z^5 a^7+8 z^3 a^7-4 z a^7+2 z^{10} a^6-7 z^8 a^6+6 z^6 a^6+z^4 a^6-6 z^2 a^6+2 a^6+2 z^9 a^5-7 z^7 a^5+7 z^5 a^5+2 z^3 a^5-4 z a^5+z^8 a^4-3 z^6 a^4+6 z^4 a^4-4 z^2 a^4+2 a^4+z^5 a^3+z^3 a^3+2 z^2 a^2-a^2 }[/math]



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