K13n1990

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Polynomial invariants

Jones polynomial Data:K13n1990/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+8 t^2-23 t+33-23 t^{-1} +8 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n1990/Conway Polynomial
Determinant 97
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+2 z^2 a^4-z^6 a^2-2 z^4 a^2-2 z^2 a^2+2 z^4+2 z^2+1-z^2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+6 a^2 z^{10}+2 z^{10}+6 a^5 z^9+7 a^3 z^9+2 a z^9+z^9 a^{-1} +4 a^6 z^8-8 a^4 z^8-20 a^2 z^8-8 z^8+a^7 z^7-21 a^5 z^7-38 a^3 z^7-21 a z^7-5 z^7 a^{-1} -14 a^6 z^6-10 a^4 z^6+15 a^2 z^6+11 z^6-3 a^7 z^5+18 a^5 z^5+47 a^3 z^5+38 a z^5+12 z^5 a^{-1} +12 a^6 z^4+16 a^4 z^4+3 a^2 z^4+2 z^4 a^{-2} +z^4+2 a^7 z^3-7 a^5 z^3-22 a^3 z^3-20 a z^3-7 z^3 a^{-1} -3 a^6 z^2-5 a^4 z^2-3 a^2 z^2-2 z^2 a^{-2} -3 z^2+a^5 z+3 a^3 z+3 a z+z a^{-1} +1 }[/math]



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