K13n2232

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Polynomial invariants

Jones polynomial Data:K13n2232/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-10 t^2+35 t-51+35 t^{-1} -10 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n2232/Conway Polynomial
Determinant 143
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^{10}+3 z^2 a^8+a^8-3 z^4 a^6-2 z^2 a^6+z^6 a^4+z^4 a^4+2 z^2 a^4-2 z^4 a^2+a^2+z^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-10 z^6 a^{10}+10 z^4 a^{10}-4 z^2 a^{10}+a^{10}+5 z^9 a^9-15 z^7 a^9+13 z^5 a^9-6 z^3 a^9+2 z a^9+4 z^{10} a^8-5 z^8 a^8-11 z^6 a^8+14 z^4 a^8-6 z^2 a^8+a^8+z^{11} a^7+11 z^9 a^7-41 z^7 a^7+45 z^5 a^7-27 z^3 a^7+6 z a^7+7 z^{10} a^6-9 z^8 a^6-12 z^6 a^6+18 z^4 a^6-7 z^2 a^6+z^{11} a^5+9 z^9 a^5-27 z^7 a^5+28 z^5 a^5-13 z^3 a^5+2 z a^5+3 z^{10} a^4-7 z^6 a^4+11 z^4 a^4-3 z^2 a^4+3 z^9 a^3-2 z^7 a^3+4 z^5 a^3+z^8 a^2+4 z^6 a^2-2 z^4 a^2+z^2 a^2-a^2+4 z^5 a-3 z^3 a+z^4-z^2 }[/math]



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