K13n2529

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Polynomial invariants

Jones polynomial Data:K13n2529/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-11 t^2+26 t-33+26 t^{-1} -11 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n2529/Conway Polynomial
Determinant 111
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^6+a^6-2 z^4 a^4-4 z^2 a^4-3 a^4+z^6 a^2+2 z^4 a^2+3 z^2 a^2+3 a^2+z^6+2 z^4+z^2-z^4 a^{-2} -z^2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+a^4 z^{10}+5 a^2 z^{10}+4 z^{10}-a^3 z^9+5 a z^9+6 z^9 a^{-1} -13 a^2 z^8+4 z^8 a^{-2} -9 z^8+7 a^5 z^7+8 a^3 z^7-21 a z^7-21 z^7 a^{-1} +z^7 a^{-3} +5 a^6 z^6+8 a^4 z^6+15 a^2 z^6-14 z^6 a^{-2} -2 z^6+3 a^7 z^5-9 a^5 z^5-18 a^3 z^5+15 a z^5+18 z^5 a^{-1} -3 z^5 a^{-3} +a^8 z^4-5 a^6 z^4-17 a^4 z^4-17 a^2 z^4+12 z^4 a^{-2} +6 z^4-3 a^7 z^3+4 a^5 z^3+11 a^3 z^3-a z^3-3 z^3 a^{-1} +2 z^3 a^{-3} -a^8 z^2+3 a^6 z^2+12 a^4 z^2+10 a^2 z^2-2 z^2 a^{-2} +a^7 z+a^5 z-a^3 z-a z-a^6-3 a^4-3 a^2 }[/math]



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