K13n3623

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Polynomial invariants

Jones polynomial Data:K13n3623/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+4 t^3-12 t^2+25 t-31+25 t^{-1} -12 t^{-2} +4 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n3623/Conway Polynomial
Determinant 115
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^4-14 a^4 z^4+2 a^2 z^4+6 a^6 z^2-12 a^4 z^2+a^2 z^2+2 z^2+2 a^6-3 a^4+2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+4 a^6 z^{10}+5 a^4 z^{10}+a^2 z^{10}+6 a^7 z^9+5 a^5 z^9-a^3 z^9+5 a^8 z^8-9 a^6 z^8-15 a^4 z^8-a^2 z^8+3 a^9 z^7-18 a^7 z^7-21 a^5 z^7+3 a^3 z^7+3 a z^7+a^{10} z^6-13 a^8 z^6+9 a^6 z^6+27 a^4 z^6+4 a^2 z^6-8 a^9 z^5+23 a^7 z^5+33 a^5 z^5+a^3 z^5-a z^5-3 a^{10} z^4+9 a^8 z^4-6 a^6 z^4-24 a^4 z^4-a^2 z^4+5 z^4+4 a^9 z^3-18 a^7 z^3-20 a^5 z^3-2 a^3 z^3-4 a z^3+2 a^{10} z^2-4 a^8 z^2+4 a^6 z^2+15 a^4 z^2-3 a^2 z^2-8 z^2+4 a^7 z+5 a^5 z+a^3 z-2 a^6-3 a^4+2 }[/math]



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