K13n3396

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Polynomial invariants

Jones polynomial Data:K13n3396/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-4 t^3+12 t^2-24 t+31-24 t^{-1} +12 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3396/Conway Polynomial
Determinant 113
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-z^6-4 a^4 z^4+15 a^2 z^4-3 z^4-7 a^4 z^2+17 a^2 z^2-z^2 a^{-2} -5 z^2-4 a^4+8 a^2-3 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+6 a^2 z^{10}+2 z^{10}+5 a^5 z^9+7 a^3 z^9+3 a z^9+z^9 a^{-1} +3 a^6 z^8-9 a^4 z^8-17 a^2 z^8-5 z^8+a^7 z^7-16 a^5 z^7-31 a^3 z^7-16 a z^7-2 z^7 a^{-1} -10 a^6 z^6+3 a^4 z^6+22 a^2 z^6+z^6 a^{-2} +10 z^6-4 a^7 z^5+14 a^5 z^5+37 a^3 z^5+28 a z^5+9 z^5 a^{-1} +9 a^6 z^4-10 a^4 z^4-30 a^2 z^4+4 z^4 a^{-2} -7 z^4+5 a^7 z^3-7 a^5 z^3-27 a^3 z^3-22 a z^3-5 z^3 a^{-1} +2 z^3 a^{-3} -2 a^6 z^2+13 a^4 z^2+25 a^2 z^2-3 z^2 a^{-2} +7 z^2-2 a^7 z+2 a^5 z+9 a^3 z+7 a z+z a^{-1} -z a^{-3} -4 a^4-8 a^2-3 }[/math]



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