K13n1369

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Polynomial invariants

Jones polynomial Data:K13n1369/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+12 t^2-27 t+35-27 t^{-1} +12 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n1369/Conway Polynomial
Determinant 117
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -2 z^6+5 a^2 z^4+2 z^4 a^{-2} -7 z^4-3 a^4 z^2+13 a^2 z^2+3 z^2 a^{-2} -10 z^2-4 a^4+9 a^2+ a^{-2} -5 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+5 a^3 z^9+10 a z^9+5 z^9 a^{-1} +3 a^4 z^8+5 a^2 z^8+4 z^8 a^{-2} +6 z^8-13 a^3 z^7-21 a z^7-7 z^7 a^{-1} +z^7 a^{-3} -3 a^4 z^6-15 a^2 z^6-z^6 a^{-2} -13 z^6+6 a^5 z^5+24 a^3 z^5+25 a z^5+14 z^5 a^{-1} +7 z^5 a^{-3} -4 a^4 z^4+4 a^2 z^4+3 z^4 a^{-4} +5 z^4-14 a^5 z^3-32 a^3 z^3-27 a z^3-18 z^3 a^{-1} -9 z^3 a^{-3} +6 a^4 z^2+11 a^2 z^2-z^2 a^{-2} -2 z^2 a^{-4} +6 z^2+7 a^5 z+15 a^3 z+14 a z+8 z a^{-1} +2 z a^{-3} -4 a^4-9 a^2- a^{-2} -5 }[/math]



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