K13n1356

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Polynomial invariants

Jones polynomial Data:K13n1356/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+7 t^2-20 t+29-20 t^{-1} +7 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n1356/Conway Polynomial
Determinant 85
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6+2 z^4 a^4+3 z^2 a^4+a^4-z^6 a^2-3 z^4 a^2-5 z^2 a^2-2 a^2+2 z^4+3 z^2+2-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+6 a^3 z^9+a z^9+z^9 a^{-1} +4 a^6 z^8-11 a^4 z^8-24 a^2 z^8-9 z^8+a^7 z^7-24 a^5 z^7-40 a^3 z^7-20 a z^7-5 z^7 a^{-1} -15 a^6 z^6-4 a^4 z^6+24 a^2 z^6+13 z^6-3 a^7 z^5+24 a^5 z^5+56 a^3 z^5+40 a z^5+11 z^5 a^{-1} +12 a^6 z^4+16 a^4 z^4+2 a^2 z^4+2 z^4 a^{-2} +a^7 z^3-8 a^5 z^3-25 a^3 z^3-23 a z^3-7 z^3 a^{-1} -2 a^6 z^2-7 a^4 z^2-9 a^2 z^2-2 z^2 a^{-2} -6 z^2+2 a^3 z+3 a z+z a^{-1} +a^4+2 a^2+2 }[/math]



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