K13n2964

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Polynomial invariants

Jones polynomial Data:K13n2964/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+12 t^2-28 t+37-28 t^{-1} +12 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2964/Conway Polynomial
Determinant 121
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6+2 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -z^4-a^4 z^2+3 a^2 z^2-2 z^2 a^{-2} +z^2 a^{-4} +z^2-a^4+a^2- a^{-2} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +3 a^2 z^{10}+6 z^{10} a^{-2} +9 z^{10}+a^3 z^9-5 a z^9+2 z^9 a^{-1} +8 z^9 a^{-3} -15 a^2 z^8-18 z^8 a^{-2} +7 z^8 a^{-4} -40 z^8-2 a^3 z^7-a z^7-27 z^7 a^{-1} -24 z^7 a^{-3} +4 z^7 a^{-5} +3 a^4 z^6+37 a^2 z^6+17 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +71 z^6+a^5 z^5+6 a^3 z^5+25 a z^5+50 z^5 a^{-1} +20 z^5 a^{-3} -10 z^5 a^{-5} -8 a^4 z^4-37 a^2 z^4-3 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} -44 z^4-3 a^5 z^3-11 a^3 z^3-23 a z^3-24 z^3 a^{-1} -6 z^3 a^{-3} +3 z^3 a^{-5} +5 a^4 z^2+12 a^2 z^2-z^2 a^{-2} -2 z^2 a^{-4} +8 z^2+2 a^5 z+4 a^3 z+4 a z+2 z a^{-1} -a^4-a^2+ a^{-2} +2 }[/math]



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