K13n2034

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Polynomial invariants

Jones polynomial Data:K13n2034/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+4 t^3-9 t^2+15 t-17+15 t^{-1} -9 t^{-2} +4 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n2034/Conway Polynomial
Determinant 75
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+a^2 z^6+4 a^6 z^4-13 a^4 z^4+4 a^2 z^4+5 a^6 z^2-12 a^4 z^2+6 a^2 z^2+2 a^6-5 a^4+4 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+4 a^4 z^{10}+a^2 z^{10}+5 a^7 z^9-5 a^3 z^9+5 a^8 z^8-9 a^6 z^8-21 a^4 z^8-7 a^2 z^8+3 a^9 z^7-18 a^7 z^7-12 a^5 z^7+9 a^3 z^7+a^{10} z^6-17 a^8 z^6+5 a^6 z^6+44 a^4 z^6+21 a^2 z^6-9 a^9 z^5+19 a^7 z^5+26 a^5 z^5+2 a z^5-3 a^{10} z^4+14 a^8 z^4+4 a^6 z^4-37 a^4 z^4-24 a^2 z^4+4 a^9 z^3-8 a^7 z^3-14 a^5 z^3-5 a^3 z^3-3 a z^3+a^{10} z^2-5 a^8 z^2+a^6 z^2+18 a^4 z^2+11 a^2 z^2-a^9 z+a^7 z+4 a^5 z+2 a^3 z-2 a^6-5 a^4-4 a^2 }[/math]



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