K13n3110

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Polynomial invariants

Jones polynomial Data:K13n3110/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+11 t^2-28 t+39-28 t^{-1} +11 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3110/Conway Polynomial
Determinant 121
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6+2 a^6-z^6 a^4-3 z^4 a^4-6 z^2 a^4-4 a^4-z^6 a^2-z^4 a^2+z^2 a^2+2 a^2+2 z^4+2 z^2+1-z^2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+10 a^4 z^{10}+6 a^2 z^{10}+3 a^7 z^9+4 a^3 z^9+7 a z^9+a^8 z^8-16 a^6 z^8-39 a^4 z^8-18 a^2 z^8+4 z^8-14 a^7 z^7-24 a^5 z^7-32 a^3 z^7-21 a z^7+z^7 a^{-1} -5 a^8 z^6+18 a^6 z^6+50 a^4 z^6+21 a^2 z^6-6 z^6+21 a^7 z^5+37 a^5 z^5+37 a^3 z^5+25 a z^5+4 z^5 a^{-1} +8 a^8 z^4-8 a^6 z^4-40 a^4 z^4-23 a^2 z^4+4 z^4 a^{-2} +5 z^4-12 a^7 z^3-19 a^5 z^3-17 a^3 z^3-14 a z^3-3 z^3 a^{-1} +z^3 a^{-3} -4 a^8 z^2+5 a^6 z^2+21 a^4 z^2+13 a^2 z^2-2 z^2 a^{-2} -z^2+3 a^7 z+4 a^5 z+2 a^3 z+2 a z+z a^{-1} -2 a^6-4 a^4-2 a^2+1 }[/math]



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