K13n2002

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Polynomial invariants

Jones polynomial Data:K13n2002/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+4 t^2-7 t+9-7 t^{-1} +4 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2002/Conway Polynomial
Determinant 33
Signature -4
HOMFLY-PT polynomial [math]\displaystyle{ -a^2 z^6+a^4 z^4-4 a^2 z^4+z^4+2 a^4 z^2-4 a^2 z^2+2 z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+a^6 z^{10}+4 a^4 z^{10}+3 a^2 z^{10}-4 a^5 z^9-a^3 z^9+3 a z^9-6 a^6 z^8-22 a^4 z^8-15 a^2 z^8+z^8-a^5 z^7-17 a^3 z^7-16 a z^7+10 a^6 z^6+31 a^4 z^6+16 a^2 z^6-5 z^6-a^7 z^5+10 a^5 z^5+34 a^3 z^5+23 a z^5-a^8 z^4-9 a^6 z^4-12 a^4 z^4+3 a^2 z^4+7 z^4-2 a^7 z^3-9 a^5 z^3-17 a^3 z^3-10 a z^3+2 a^6 z^2-6 a^2 z^2-4 z^2+a^7 z+3 a^5 z+3 a^3 z+a z+1 }[/math]



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