K13n2879

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Polynomial invariants

Jones polynomial Data:K13n2879/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-6 t^3+19 t^2-34 t+41-34 t^{-1} +19 t^{-2} -6 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n2879/Conway Polynomial
Determinant 161
Signature -4
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^{10}+2 z^2 a^{10}+a^{10}-2 z^6 a^8-7 z^4 a^8-9 z^2 a^8-4 a^8+z^8 a^6+5 z^6 a^6+11 z^4 a^6+11 z^2 a^6+3 a^6-z^6 a^4-2 z^4 a^4+a^4 }[/math]
Kauffman polynomial [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+z^2 a^{14}+4 z^7 a^{13}-9 z^5 a^{13}+6 z^3 a^{13}-z a^{13}+7 z^8 a^{12}-14 z^6 a^{12}+7 z^4 a^{12}+7 z^9 a^{11}-8 z^7 a^{11}-6 z^5 a^{11}+8 z^3 a^{11}-2 z a^{11}+4 z^{10} a^{10}+4 z^8 a^{10}-17 z^6 a^{10}+7 z^4 a^{10}+z^2 a^{10}-a^{10}+z^{11} a^9+10 z^9 a^9-15 z^7 a^9+2 z^5 a^9-z^3 a^9+2 z a^9+6 z^{10} a^8-4 z^8 a^8+6 z^6 a^8-19 z^4 a^8+15 z^2 a^8-4 a^8+z^{11} a^7+4 z^9 a^7+z^7 a^7-6 z^5 a^7-z^3 a^7+2 z a^7+2 z^{10} a^6-z^8 a^6+13 z^6 a^6-24 z^4 a^6+15 z^2 a^6-3 a^6+z^9 a^5+4 z^7 a^5-4 z^5 a^5+z^3 a^5-z a^5+5 z^6 a^4-7 z^4 a^4+2 z^2 a^4+a^4+z^5 a^3-z^3 a^3 }[/math]



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