K13n2915

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Polynomial invariants

Jones polynomial Data:K13n2915/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^2+10 t-17+10 t^{-1} - t^{-2} }[/math]
Conway polynomial Data:K13n2915/Conway Polynomial
Determinant 39
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^{12}+2 z^2 a^{10}+2 a^{10}-z^4 a^8-2 z^2 a^8-3 a^8+3 z^2 a^6+2 a^6+2 z^2 a^4+a^4+z^2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^9 a^{13}-7 z^7 a^{13}+16 z^5 a^{13}-14 z^3 a^{13}+4 z a^{13}+2 z^{10} a^{12}-14 z^8 a^{12}+32 z^6 a^{12}-28 z^4 a^{12}+9 z^2 a^{12}-a^{12}+z^{11} a^{11}-4 z^9 a^{11}-3 z^7 a^{11}+23 z^5 a^{11}-20 z^3 a^{11}+4 z a^{11}+4 z^{10} a^{10}-26 z^8 a^{10}+55 z^6 a^{10}-47 z^4 a^{10}+17 z^2 a^{10}-2 a^{10}+z^{11} a^9-4 z^9 a^9+z^7 a^9+6 z^5 a^9-4 z^3 a^9+2 z a^9+2 z^{10} a^8-12 z^8 a^8+27 z^6 a^8-33 z^4 a^8+18 z^2 a^8-3 a^8+z^9 a^7-3 z^7 a^7+2 z^5 a^7-4 z^3 a^7+2 z a^7+4 z^6 a^6-11 z^4 a^6+6 z^2 a^6-2 a^6+3 z^5 a^5-4 z^3 a^5+3 z^4 a^4-3 z^2 a^4+a^4+2 z^3 a^3+z^2 a^2 }[/math]



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