K13n1626

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Polynomial invariants

Jones polynomial Data:K13n1626/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-12 t^2+30 t-39+30 t^{-1} -12 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1626/Conway Polynomial
Determinant 127
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^6-z^4 a^4+z^2 a^4+2 a^4+z^6 a^2+z^4 a^2+z^6+z^4-z^2-1-z^4 a^{-2} + a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+3 a^4 z^{10}+10 a^2 z^{10}+7 z^{10}+a^5 z^9-a^3 z^9+7 a z^9+9 z^9 a^{-1} -11 a^4 z^8-35 a^2 z^8+5 z^8 a^{-2} -19 z^8-2 a^5 z^7-14 a^3 z^7-44 a z^7-31 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6+20 a^4 z^6+38 a^2 z^6-15 z^6 a^{-2} +4 z^6+8 a^5 z^5+30 a^3 z^5+49 a z^5+25 z^5 a^{-1} -2 z^5 a^{-3} +3 a^6 z^4-9 a^4 z^4-15 a^2 z^4+8 z^4 a^{-2} +5 z^4+2 a^7 z^3-5 a^5 z^3-18 a^3 z^3-15 a z^3-4 z^3 a^{-1} -3 a^6 z^2-3 a^4 z^2+2 a^2 z^2+z^2 a^{-2} +3 z^2-a^7 z+2 a^3 z-z a^{-1} +a^6+2 a^4- a^{-2} -1 }[/math]



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