K13n3661

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Polynomial invariants

Jones polynomial Data:K13n3661/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^2-5 t+7-5 t^{-1} +2 t^{-2} }[/math]
Conway polynomial Data:K13n3661/Conway Polynomial
Determinant 21
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6+a^6-z^6 a^4-5 z^4 a^4-9 z^2 a^4-6 a^4+z^6 a^2+7 z^4 a^2+14 z^2 a^2+9 a^2-z^4-4 z^2-3 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^6 z^{10}+2 a^4 z^{10}+3 a^7 z^9+6 a^5 z^9+3 a^3 z^9+a^8 z^8-9 a^6 z^8-11 a^4 z^8-a^2 z^8-17 a^7 z^7-37 a^5 z^7-22 a^3 z^7-2 a z^7-5 a^8 z^6+5 a^6 z^6+15 a^4 z^6+6 a^2 z^6+z^6+28 a^7 z^5+68 a^5 z^5+51 a^3 z^5+12 a z^5+z^5 a^{-1} +7 a^8 z^4+9 a^6 z^4-10 a^4 z^4-17 a^2 z^4-5 z^4-16 a^7 z^3-48 a^5 z^3-53 a^3 z^3-25 a z^3-4 z^3 a^{-1} -3 a^8 z^2-3 a^6 z^2+11 a^4 z^2+17 a^2 z^2+6 z^2+3 a^7 z+14 a^5 z+20 a^3 z+13 a z+4 z a^{-1} -a^6-6 a^4-9 a^2-3 }[/math]



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