K13n394

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Polynomial invariants

Jones polynomial Data:K13n394/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-5 t^3+15 t^2-28 t+35-28 t^{-1} +15 t^{-2} -5 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n394/Conway Polynomial
Determinant 133
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-2 z^6-4 a^4 z^4+15 a^2 z^4+z^4 a^{-2} -7 z^4-6 a^4 z^2+16 a^2 z^2+z^2 a^{-2} -8 z^2-3 a^4+6 a^2-2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+6 a^2 z^{10}+3 z^{10}+4 a^5 z^9+6 a^3 z^9+5 a z^9+3 z^9 a^{-1} +3 a^6 z^8-3 a^4 z^8-12 a^2 z^8+z^8 a^{-2} -5 z^8+a^7 z^7-11 a^5 z^7-20 a^3 z^7-11 a z^7-3 z^7 a^{-1} -11 a^6 z^6-9 a^4 z^6+14 a^2 z^6+6 z^6 a^{-2} +18 z^6-4 a^7 z^5+5 a^5 z^5+14 a^3 z^5+11 a z^5+11 z^5 a^{-1} +5 z^5 a^{-3} +12 a^6 z^4+6 a^4 z^4-26 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} -27 z^4+5 a^7 z^3+3 a^5 z^3-6 a^3 z^3-12 a z^3-11 z^3 a^{-1} -3 z^3 a^{-3} -4 a^6 z^2+5 a^4 z^2+21 a^2 z^2+2 z^2 a^{-2} +14 z^2-2 a^7 z-a^5 z+3 a^3 z+4 a z+2 z a^{-1} -3 a^4-6 a^2-2 }[/math]



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