K13n608

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Polynomial invariants

Jones polynomial Data:K13n608/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-7 t^2+14 t-17+14 t^{-1} -7 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n608/Conway Polynomial
Determinant 63
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ 2 z^6 a^{-2} +10 z^4 a^{-2} -3 z^4 a^{-4} -2 z^4+18 z^2 a^{-2} -9 z^2 a^{-4} +z^2 a^{-6} -6 z^2+11 a^{-2} -7 a^{-4} + a^{-6} -4 }[/math]
Kauffman polynomial [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +4 z^9 a^{-3} +2 z^9 a^{-5} -2 z^8 a^{-2} -2 z^8 a^{-4} +z^8 a^{-6} +z^8-8 z^7 a^{-1} -16 z^7 a^{-3} -8 z^7 a^{-5} +6 z^6 a^{-2} +6 z^6 a^{-4} +3 a z^5+20 z^5 a^{-1} +36 z^5 a^{-3} +23 z^5 a^{-5} +4 z^5 a^{-7} -15 z^4 a^{-2} -8 z^4 a^{-4} +z^4 a^{-6} +z^4 a^{-8} -7 z^4-9 a z^3-29 z^3 a^{-1} -39 z^3 a^{-3} -25 z^3 a^{-5} -6 z^3 a^{-7} +20 z^2 a^{-2} +12 z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} +8 z^2+5 a z+14 z a^{-1} +18 z a^{-3} +10 z a^{-5} +z a^{-7} -11 a^{-2} -7 a^{-4} - a^{-6} -4 }[/math]



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