K13n348

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Polynomial invariants

Jones polynomial Data:K13n348/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -t^4+5 t^3-12 t^2+19 t-21+19 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial Data:K13n348/Conway Polynomial
Determinant 95
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ -z^8+a^2 z^6+z^6 a^{-2} -5 z^6+3 a^2 z^4+3 z^4 a^{-2} -8 z^4+2 a^2 z^2+2 z^2 a^{-2} -4 z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +5 a^2 z^{10}+5 z^{10} a^{-2} +10 z^{10}+4 a^3 z^9+2 a z^9+2 z^9 a^{-1} +4 z^9 a^{-3} +a^4 z^8-20 a^2 z^8-20 z^8 a^{-2} +z^8 a^{-4} -42 z^8-18 a^3 z^7-39 a z^7-39 z^7 a^{-1} -18 z^7 a^{-3} -4 a^4 z^6+18 a^2 z^6+18 z^6 a^{-2} -4 z^6 a^{-4} +44 z^6+24 a^3 z^5+60 a z^5+60 z^5 a^{-1} +24 z^5 a^{-3} +5 a^4 z^4-a^2 z^4-z^4 a^{-2} +5 z^4 a^{-4} -12 z^4-11 a^3 z^3-28 a z^3-28 z^3 a^{-1} -11 z^3 a^{-3} -2 a^4 z^2-2 a^2 z^2-2 z^2 a^{-2} -2 z^2 a^{-4} +a^3 z+3 a z+3 z a^{-1} +z a^{-3} +1 }[/math]



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