K13n336

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Polynomial invariants

Jones polynomial Data:K13n336/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-11 t^2+22 t-25+22 t^{-1} -11 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n336/Conway Polynomial
Determinant 95
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2+z^2 a^{-2} -z^2 a^{-6} -5 z^2+2 a^2+ a^{-2} - a^{-4} + a^{-6} -2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +2 z^{10} a^{-2} +4 z^{10} a^{-4} +2 z^{10} a^{-6} +2 z^9 a^{-1} -z^9 a^{-3} -2 z^9 a^{-5} +z^9 a^{-7} -5 z^8 a^{-2} -15 z^8 a^{-4} -8 z^8 a^{-6} +2 z^8+2 a z^7-2 z^7 a^{-1} +z^7 a^{-3} +5 z^7 a^{-5} +a^2 z^6+10 z^6 a^{-2} +30 z^6 a^{-4} +21 z^6 a^{-6} +4 z^6 a^{-8} -2 z^6-6 a z^5-2 z^5 a^{-1} +z^5 a^{-3} -6 z^5 a^{-5} -2 z^5 a^{-7} +z^5 a^{-9} -4 a^2 z^4-11 z^4 a^{-2} -24 z^4 a^{-4} -25 z^4 a^{-6} -9 z^4 a^{-8} -7 z^4+4 a z^3-z^3 a^{-1} +3 z^3 a^{-3} +10 z^3 a^{-5} -2 z^3 a^{-9} +5 a^2 z^2+4 z^2 a^{-2} +10 z^2 a^{-4} +12 z^2 a^{-6} +3 z^2 a^{-8} +8 z^2+z a^{-1} -3 z a^{-3} -5 z a^{-5} -z a^{-7} -2 a^2- a^{-2} - a^{-4} - a^{-6} -2 }[/math]



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