K13n3656

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Polynomial invariants

Jones polynomial Data:K13n3656/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -4 t^3+21 t^2-49 t+65-49 t^{-1} +21 t^{-2} -4 t^{-3} }[/math]
Conway polynomial Data:K13n3656/Conway Polynomial
Determinant 213
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6-a^6+3 z^4 a^4+5 z^2 a^4+3 a^4-2 z^6 a^2-4 z^4 a^2-4 z^2 a^2-2 a^2-2 z^6-4 z^4-3 z^2+2 z^4 a^{-2} +2 z^2 a^{-2} + a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+7 a^4 z^{10}+17 a^2 z^{10}+10 z^{10}+7 a^5 z^9+12 a^3 z^9+17 a z^9+12 z^9 a^{-1} +4 a^6 z^8-9 a^4 z^8-34 a^2 z^8+6 z^8 a^{-2} -15 z^8+a^7 z^7-17 a^5 z^7-48 a^3 z^7-55 a z^7-24 z^7 a^{-1} +z^7 a^{-3} -12 a^6 z^6-15 a^4 z^6+9 a^2 z^6+12 z^6-3 a^7 z^5+9 a^5 z^5+41 a^3 z^5+51 a z^5+31 z^5 a^{-1} +9 z^5 a^{-3} +12 a^6 z^4+25 a^4 z^4+10 a^2 z^4-2 z^4 a^{-2} +3 z^4 a^{-4} -8 z^4+3 a^7 z^3+a^5 z^3-14 a^3 z^3-20 a z^3-16 z^3 a^{-1} -8 z^3 a^{-3} -5 a^6 z^2-14 a^4 z^2-9 a^2 z^2+z^2 a^{-2} -2 z^2 a^{-4} +3 z^2-a^7 z-a^5 z+2 a^3 z+3 a z+2 z a^{-1} +z a^{-3} +a^6+3 a^4+2 a^2- a^{-2} }[/math]



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