K13n2256

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Polynomial invariants

Jones polynomial Data:K13n2256/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+t^2+7 t-13+7 t^{-1} + t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2256/Conway Polynomial
Determinant 23
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^{10}+2 z^2 a^8+a^8+3 z^2 a^6+2 a^6-z^6 a^4-6 z^4 a^4-8 z^2 a^4-4 a^4+z^4 a^2+5 z^2 a^2+3 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}+a^{10}+z^9 a^9-2 z^7 a^9-7 z^5 a^9+14 z^3 a^9-4 z a^9+3 z^8 a^8-13 z^6 a^8+15 z^4 a^8-6 z^2 a^8+a^8+3 z^7 a^7-10 z^5 a^7+7 z^3 a^7-2 z a^7-z^8 a^6+9 z^6 a^6-19 z^4 a^6+10 z^2 a^6-2 a^6-z^9 a^5+6 z^7 a^5-9 z^5 a^5+4 z^3 a^5-2 z a^5-2 z^8 a^4+13 z^6 a^4-26 z^4 a^4+20 z^2 a^4-4 a^4-z^5 a^3+4 z^3 a^3-z a^3+z^6 a^2-6 z^4 a^2+10 z^2 a^2-3 a^2 }[/math]



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