K13n3491

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Polynomial invariants

Jones polynomial Data:K13n3491/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-2 t^3+6 t-9+6 t^{-1} -2 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n3491/Conway Polynomial
Determinant 15
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8-z^4 a^6-z^2 a^6+z^8 a^4+7 z^6 a^4+15 z^4 a^4+12 z^2 a^4+2 a^4-z^6 a^2-5 z^4 a^2-5 z^2 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-10 z^6 a^{10}+14 z^4 a^{10}-6 z^2 a^{10}+z^9 a^9-2 z^7 a^9-7 z^5 a^9+13 z^3 a^9-4 z a^9+3 z^8 a^8-13 z^6 a^8+12 z^4 a^8-z^2 a^8-a^8+3 z^7 a^7-13 z^5 a^7+11 z^3 a^7-2 z a^7-2 z^4 a^6-z^7 a^5+2 z^5 a^5-2 z^3 a^5+z^8 a^4-9 z^6 a^4+19 z^4 a^4-13 z^2 a^4+2 a^4+z^9 a^3-6 z^7 a^3+8 z^5 a^3-2 z^3 a^3+z a^3+2 z^8 a^2-12 z^6 a^2+19 z^4 a^2-8 z^2 a^2+z^7 a-5 z^5 a+5 z^3 a }[/math]



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