K13n2494

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Polynomial invariants

Jones polynomial Data:K13n2494/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-5 t^3+17 t^2-34 t+43-34 t^{-1} +17 t^{-2} -5 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n2494/Conway Polynomial
Determinant 157
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-2 z^6-4 a^4 z^4+16 a^2 z^4+z^4 a^{-2} -6 z^4-7 a^4 z^2+18 a^2 z^2-6 z^2-4 a^4+7 a^2- a^{-2} -1 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+5 a^4 z^{10}+11 a^2 z^{10}+6 z^{10}+5 a^5 z^9+6 a^3 z^9+7 a z^9+6 z^9 a^{-1} +3 a^6 z^8-12 a^4 z^8-32 a^2 z^8+2 z^8 a^{-2} -15 z^8+a^7 z^7-15 a^5 z^7-33 a^3 z^7-30 a z^7-13 z^7 a^{-1} -10 a^6 z^6+8 a^4 z^6+41 a^2 z^6+5 z^6 a^{-2} +28 z^6-4 a^7 z^5+13 a^5 z^5+44 a^3 z^5+43 a z^5+22 z^5 a^{-1} +6 z^5 a^{-3} +9 a^6 z^4-10 a^4 z^4-39 a^2 z^4-6 z^4 a^{-2} +z^4 a^{-4} -27 z^4+5 a^7 z^3-7 a^5 z^3-33 a^3 z^3-30 a z^3-12 z^3 a^{-1} -3 z^3 a^{-3} -2 a^6 z^2+10 a^4 z^2+23 a^2 z^2+z^2 a^{-2} +12 z^2-2 a^7 z+3 a^5 z+11 a^3 z+8 a z-2 z a^{-3} -4 a^4-7 a^2+ a^{-2} -1 }[/math]



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