K13n2244

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Polynomial invariants

Jones polynomial Data:K13n2244/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+8 t^2-21 t+29-21 t^{-1} +8 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2244/Conway Polynomial
Determinant 89
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+a^4-z^6 a^2-2 z^4 a^2-z^2 a^2+a^2+2 z^4+2 z^2-z^2 a^{-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^8-18 a^2 z^8-9 z^8+a^7 z^7-12 a^5 z^7-19 a^3 z^7-11 a z^7-5 z^7 a^{-1} -11 a^6 z^6-5 a^4 z^6+22 a^2 z^6+16 z^6-4 a^7 z^5+5 a^5 z^5+21 a^3 z^5+24 a z^5+12 z^5 a^{-1} +11 a^6 z^4+6 a^4 z^4-13 a^2 z^4+2 z^4 a^{-2} -6 z^4+5 a^7 z^3+2 a^5 z^3-12 a^3 z^3-15 a z^3-6 z^3 a^{-1} -4 a^6 z^2-2 a^4 z^2+4 a^2 z^2-z^2 a^{-2} +z^2-2 a^7 z-a^5 z+3 a^3 z+3 a z+z a^{-1} +a^6+a^4-a^2 }[/math]



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