K13n2784

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Polynomial invariants

Jones polynomial Data:K13n2784/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^2-t+1- t^{-1} + t^{-2} }[/math]
Conway polynomial Data:K13n2784/Conway Polynomial
Determinant 5
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+2 z^2 a^6-z^6 a^4-5 z^4 a^4-7 z^2 a^4-3 a^4+z^6 a^2+6 z^4 a^2+11 z^2 a^2+6 a^2-z^4-3 z^2-2 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^6 z^{10}+2 a^4 z^{10}+3 a^7 z^9+5 a^5 z^9+2 a^3 z^9+a^8 z^8-11 a^6 z^8-13 a^4 z^8-a^2 z^8-18 a^7 z^7-33 a^5 z^7-15 a^3 z^7-5 a^8 z^6+13 a^6 z^6+23 a^4 z^6+7 a^2 z^6+2 z^6+30 a^7 z^5+60 a^5 z^5+32 a^3 z^5+3 a z^5+z^5 a^{-1} +6 a^8 z^4-18 a^4 z^4-19 a^2 z^4-7 z^4-15 a^7 z^3-34 a^5 z^3-28 a^3 z^3-12 a z^3-3 z^3 a^{-1} -2 a^8 z^2-a^6 z^2+12 a^4 z^2+16 a^2 z^2+5 z^2+5 a^5 z+9 a^3 z+6 a z+2 z a^{-1} -3 a^4-6 a^2-2 }[/math]



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