K13n2297

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Polynomial invariants

Jones polynomial Data:K13n2297/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-4 t^3+12 t^2-23 t+29-23 t^{-1} +12 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n2297/Conway Polynomial
Determinant 109
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-z^6-4 a^4 z^4+14 a^2 z^4-2 z^4-6 a^4 z^2+13 a^2 z^2-2 z^2 a^{-2} -3 a^4+4 a^2-2 a^{-2} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+4 a^5 z^9+3 a^3 z^9+z^9 a^{-1} +3 a^6 z^8-6 a^4 z^8-15 a^2 z^8-6 z^8+a^7 z^7-12 a^5 z^7-12 a^3 z^7+2 a z^7+z^7 a^{-1} -11 a^6 z^6+a^4 z^6+28 a^2 z^6+3 z^6 a^{-2} +19 z^6-4 a^7 z^5+7 a^5 z^5+9 a^3 z^5-3 a z^5-z^5 a^{-1} +11 a^6 z^4-6 a^4 z^4-38 a^2 z^4+z^4 a^{-2} -20 z^4+5 a^7 z^3+a^5 z^3-10 a^3 z^3-2 a z^3+9 z^3 a^{-1} +5 z^3 a^{-3} -2 a^6 z^2+9 a^4 z^2+19 a^2 z^2-2 z^2 a^{-2} +6 z^2-2 a^7 z+a^5 z+5 a^3 z-6 z a^{-1} -4 z a^{-3} -3 a^4-4 a^2+2 a^{-2} +2 }[/math]



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