K13n3522

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Polynomial invariants

Jones polynomial Data:K13n3522/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -3 t^2+19 t-31+19 t^{-1} -3 t^{-2} }[/math]
Conway polynomial Data:K13n3522/Conway Polynomial
Determinant 75
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -2 a^{10}+3 z^2 a^8+2 a^8-z^4 a^6+z^2 a^6-z^4 a^4+2 z^2 a^4+a^4-z^4 a^2+z^2 }[/math]
Kauffman polynomial [math]\displaystyle{ 3 z^7 a^{11}-16 z^5 a^{11}+24 z^3 a^{11}-10 z a^{11}+z^{10} a^{10}-4 z^8 a^{10}+3 z^6 a^{10}+z^4 a^{10}-3 z^2 a^{10}+2 a^{10}+z^{11} a^9-5 z^9 a^9+14 z^7 a^9-34 z^5 a^9+38 z^3 a^9-13 z a^9+4 z^{10} a^8-20 z^8 a^8+35 z^6 a^8-29 z^4 a^8+6 z^2 a^8+2 a^8+z^{11} a^7-z^9 a^7-6 z^7 a^7+7 z^5 a^7+z^3 a^7-3 z a^7+3 z^{10} a^6-12 z^8 a^6+20 z^6 a^6-17 z^4 a^6+5 z^2 a^6+4 z^9 a^5-13 z^7 a^5+17 z^5 a^5-7 z^3 a^5+4 z^8 a^4-8 z^6 a^4+7 z^4 a^4-2 z^2 a^4+a^4+4 z^7 a^3-5 z^5 a^3+2 z^3 a^3+4 z^6 a^2-5 z^4 a^2+z^2 a^2+3 z^5 a-4 z^3 a+z^4-z^2 }[/math]



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