K13n2152

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Polynomial invariants

Jones polynomial Data:K13n2152/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+14 t^2-36 t+49-36 t^{-1} +14 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2152/Conway Polynomial
Determinant 153
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6+2 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -a^4 z^2+2 a^2 z^2-z^2 a^{-2} +2 z^2-a^4+a^2- a^{-2} +2 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+5 z^{10} a^{-2} +6 z^{10}+a z^9+11 z^9 a^{-1} +10 z^9 a^{-3} +a^2 z^8+z^8 a^{-2} +10 z^8 a^{-4} -8 z^8+6 a^3 z^7+6 a z^7-24 z^7 a^{-1} -19 z^7 a^{-3} +5 z^7 a^{-5} +3 a^4 z^6+5 a^2 z^6-20 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +5 z^6+a^5 z^5-9 a^3 z^5-13 a z^5+9 z^5 a^{-1} +3 z^5 a^{-3} -9 z^5 a^{-5} -5 a^4 z^4-7 a^2 z^4+14 z^4 a^{-2} +9 z^4 a^{-4} -z^4 a^{-6} +2 z^4-2 a^5 z^3+5 a^3 z^3+14 a z^3+10 z^3 a^{-1} +5 z^3 a^{-3} +2 z^3 a^{-5} +3 a^4 z^2+2 a^2 z^2-3 z^2 a^{-2} -4 z^2+a^5 z-a^3 z-5 a z-5 z a^{-1} -2 z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math]



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