K13n1388

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Polynomial invariants

Jones polynomial Data:K13n1388/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -4 t^2+14 t-19+14 t^{-1} -4 t^{-2} }[/math]
Conway polynomial Data:K13n1388/Conway Polynomial
Determinant 55
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-4 z^2 a^6-3 a^6+z^6 a^4+4 z^4 a^4+8 z^2 a^4+5 a^4-z^6 a^2-7 z^4 a^2-11 z^2 a^2-5 a^2+z^4+4 z^2+3 }[/math]
Kauffman polynomial [math]\displaystyle{ z^6 a^{10}-3 z^4 a^{10}+2 z^2 a^{10}+3 z^7 a^9-9 z^5 a^9+7 z^3 a^9-2 z a^9+4 z^8 a^8-11 z^6 a^8+7 z^4 a^8-3 z^2 a^8+a^8+2 z^9 a^7-12 z^5 a^7+10 z^3 a^7-3 z a^7+7 z^8 a^6-19 z^6 a^6+17 z^4 a^6-10 z^2 a^6+3 a^6+z^9 a^5+3 z^7 a^5-9 z^5 a^5+6 z^3 a^5-z a^5+2 z^8 a^4-6 z^6 a^4+17 z^4 a^4-16 z^2 a^4+5 a^4-2 z^7 a^3+11 z^5 a^3-7 z^3 a^3+z a^3-6 z^6 a^2+24 z^4 a^2-21 z^2 a^2+5 a^2+z^9 a-8 z^7 a+17 z^5 a-10 z^3 a+z a+z^8-7 z^6+14 z^4-10 z^2+3 }[/math]



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