K13n3466

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Polynomial invariants

Jones polynomial Data:K13n3466/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-t^3-2 t^2+6 t-7+6 t^{-1} -2 t^{-2} - t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3466/Conway Polynomial
Determinant 19
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+8 a^2 z^6-6 a^4 z^4+21 a^2 z^4-z^4 a^{-2} -2 z^4-10 a^4 z^2+23 a^2 z^2-2 z^2 a^{-2} -6 z^2-5 a^4+10 a^2-4 }[/math]
Kauffman polynomial [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+a^5 z^9+a^3 z^9+a z^9+z^9 a^{-1} +a^6 z^8-9 a^4 z^8-10 a^2 z^8+2 z^8 a^{-2} +2 z^8+a^7 z^7-7 a^5 z^7-10 a^3 z^7-6 a z^7-3 z^7 a^{-1} +z^7 a^{-3} -6 a^6 z^6+27 a^4 z^6+37 a^2 z^6-10 z^6 a^{-2} -6 z^6-6 a^7 z^5+13 a^5 z^5+31 a^3 z^5+16 a z^5-z^5 a^{-1} -5 z^5 a^{-3} +8 a^6 z^4-36 a^4 z^4-60 a^2 z^4+14 z^4 a^{-2} -2 z^4+9 a^7 z^3-7 a^5 z^3-36 a^3 z^3-23 a z^3+4 z^3 a^{-1} +7 z^3 a^{-3} -a^6 z^2+23 a^4 z^2+39 a^2 z^2-5 z^2 a^{-2} +10 z^2-3 a^7 z+2 a^5 z+12 a^3 z+9 a z-2 z a^{-3} -5 a^4-10 a^2-4 }[/math]



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