K13n2429

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Polynomial invariants

Jones polynomial Data:K13n2429/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 3 t^3-11 t^2+22 t-27+22 t^{-1} -11 t^{-2} +3 t^{-3} }[/math]
Conway polynomial Data:K13n2429/Conway Polynomial
Determinant 99
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-a^8+z^6 a^6+2 z^4 a^6-a^6+2 z^6 a^4+8 z^4 a^4+11 z^2 a^4+4 a^4-2 z^4 a^2-4 z^2 a^2-a^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}-11 z^6 a^{10}+11 z^4 a^{10}-3 z^2 a^{10}+4 z^9 a^9-12 z^7 a^9+6 z^5 a^9+z^3 a^9+3 z^{10} a^8-6 z^8 a^8-2 z^6 a^8-z^4 a^8+5 z^2 a^8-a^8+z^{11} a^7+3 z^9 a^7-15 z^7 a^7+11 z^5 a^7-4 z^3 a^7+z a^7+5 z^{10} a^6-16 z^8 a^6+21 z^6 a^6-17 z^4 a^6+4 z^2 a^6+a^6+z^{11} a^5-4 z^7 a^5+6 z^5 a^5-2 z a^5+2 z^{10} a^4-7 z^8 a^4+13 z^6 a^4-z^4 a^4-9 z^2 a^4+4 a^4+z^9 a^3-2 z^7 a^3+5 z^5 a^3+2 z^3 a^3-2 z a^3+z^6 a^2+4 z^4 a^2-5 z^2 a^2+a^2+2 z^3 a-z a }[/math]



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