K13n2556

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Polynomial invariants

Jones polynomial Data:K13n2556/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-5 t^2+7 t-7+7 t^{-1} -5 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n2556/Conway Polynomial
Determinant 35
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^6+z^6-a^4 z^4+4 a^2 z^4-z^4 a^{-2} +5 z^4-3 a^4 z^2+4 a^2 z^2-4 z^2 a^{-2} +8 z^2-2 a^4+a^2-3 a^{-2} +5 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+4 a^2 z^{10}+2 z^{10}+a^5 z^9-3 a^3 z^9-3 a z^9+z^9 a^{-1} -13 a^4 z^8-24 a^2 z^8-11 z^8-7 a^5 z^7-9 a^3 z^7-6 a z^7-4 z^7 a^{-1} +27 a^4 z^6+43 a^2 z^6+z^6 a^{-2} +17 z^6+17 a^5 z^5+35 a^3 z^5+19 a z^5+z^5 a^{-1} -21 a^4 z^4-27 a^2 z^4-3 z^4 a^{-2} -9 z^4-17 a^5 z^3-31 a^3 z^3-11 a z^3+4 z^3 a^{-1} +z^3 a^{-3} +7 a^4 z^2+7 a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} -4 z^2+6 a^5 z+9 a^3 z+a z-5 z a^{-1} -2 z a^{-3} +z a^{-5} -2 a^4-a^2+3 a^{-2} +5 }[/math]



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