K13n3370

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Polynomial invariants

Jones polynomial Data:K13n3370/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 3 t^2-8 t+11-8 t^{-1} +3 t^{-2} }[/math]
Conway polynomial Data:K13n3370/Conway Polynomial
Determinant 33
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^8-a^8+z^4 a^6+2 z^2 a^6+a^6+z^4 a^4+z^2 a^4-a^4+z^4 a^2+3 z^2 a^2+3 a^2-z^2-1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+3 a^6 z^{10}+a^4 z^{10}+a^9 z^9-5 a^7 z^9-6 a^5 z^9-14 a^8 z^8-19 a^6 z^8-5 a^4 z^8-7 a^9 z^7+4 a^7 z^7+14 a^5 z^7+3 a^3 z^7+32 a^8 z^6+39 a^6 z^6+9 a^4 z^6+2 a^2 z^6+16 a^9 z^5+8 a^7 z^5-21 a^5 z^5-12 a^3 z^5+a z^5-27 a^8 z^4-32 a^6 z^4-12 a^4 z^4-7 a^2 z^4-13 a^9 z^3-8 a^7 z^3+17 a^5 z^3+10 a^3 z^3-2 a z^3+8 a^8 z^2+11 a^6 z^2+7 a^4 z^2+6 a^2 z^2+2 z^2+3 a^9 z+a^7 z-4 a^5 z-2 a^3 z+a z+z a^{-1} -a^8-a^6-a^4-3 a^2-1 }[/math]



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