K13n2833

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Polynomial invariants

Jones polynomial Data:K13n2833/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^3+11 t^2-30 t+41-30 t^{-1} +11 t^{-2} - t^{-3} }[/math]
Conway polynomial Data:K13n2833/Conway Polynomial
Determinant 125
Signature -4
HOMFLY-PT polynomial [math]\displaystyle{ a^{10}-5 z^2 a^8-5 a^8+5 z^4 a^6+10 z^2 a^6+5 a^6-z^6 a^4-z^4 a^4+z^4 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ 4 z^5 a^{11}-5 z^3 a^{11}+z^{10} a^{10}-5 z^8 a^{10}+15 z^6 a^{10}-10 z^4 a^{10}-a^{10}+z^{11} a^9-z^9 a^9-5 z^7 a^9+25 z^5 a^9-20 z^3 a^9+5 z a^9+6 z^{10} a^8-20 z^8 a^8+30 z^6 a^8-15 z^4 a^8+10 z^2 a^8-5 a^8+z^{11} a^7+9 z^9 a^7-35 z^7 a^7+45 z^5 a^7-20 z^3 a^7+5 z a^7+5 z^{10} a^6-5 z^8 a^6-10 z^6 a^6+5 z^4 a^6+10 z^2 a^6-5 a^6+10 z^9 a^5-25 z^7 a^5+15 z^5 a^5-5 z^3 a^5+10 z^8 a^4-24 z^6 a^4+9 z^4 a^4+5 z^7 a^3-9 z^5 a^3+z^6 a^2-z^4 a^2 }[/math]



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