K13n2174

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Polynomial invariants

Jones polynomial Data:K13n2174/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-11 t^2+27 t-35+27 t^{-1} -11 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n2174/Conway Polynomial
Determinant 115
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^2 a^2-a^2+z^6+2 z^4+2 z^2+1-z^4 a^{-2} -z^2 a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+10 a^2 z^{10}+6 z^{10}+2 a^5 z^9+5 a z^9+7 z^9 a^{-1} -17 a^4 z^8-39 a^2 z^8+4 z^8 a^{-2} -18 z^8-8 a^5 z^7-25 a^3 z^7-44 a z^7-26 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6+27 a^4 z^6+45 a^2 z^6-14 z^6 a^{-2} +5 z^6+17 a^5 z^5+52 a^3 z^5+63 a z^5+25 z^5 a^{-1} -3 z^5 a^{-3} +2 a^6 z^4-9 a^4 z^4-12 a^2 z^4+11 z^4 a^{-2} +10 z^4+a^7 z^3-10 a^5 z^3-31 a^3 z^3-31 a z^3-10 z^3 a^{-1} +z^3 a^{-3} -3 a^6 z^2-4 a^4 z^2-4 a^2 z^2-3 z^2 a^{-2} -6 z^2-a^7 z+a^5 z+5 a^3 z+4 a z+z a^{-1} +a^6+2 a^4+a^2+1 }[/math]



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