K13n1481

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Polynomial invariants

Jones polynomial Data:K13n1481/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+11 t^2-28 t+39-28 t^{-1} +11 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n1481/Conway Polynomial
Determinant 121
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^6 a^{-2} -z^6+a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -z^4-a^2 z^2-3 z^2 a^{-2} +z^2 a^{-4} +z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^2 z^{10}+5 z^{10} a^{-2} +6 z^{10}+9 z^9 a^{-1} +9 z^9 a^{-3} -3 a^2 z^8-8 z^8 a^{-2} +8 z^8 a^{-4} -19 z^8+a^3 z^7-8 a z^7-40 z^7 a^{-1} -27 z^7 a^{-3} +4 z^7 a^{-5} +9 a^2 z^6-8 z^6 a^{-2} -22 z^6 a^{-4} +z^6 a^{-6} +24 z^6+4 a^3 z^5+30 a z^5+61 z^5 a^{-1} +26 z^5 a^{-3} -9 z^5 a^{-5} +2 a^4 z^4-3 a^2 z^4+22 z^4 a^{-2} +15 z^4 a^{-4} -2 z^4 a^{-6} -9 a^3 z^3-28 a z^3-34 z^3 a^{-1} -13 z^3 a^{-3} +2 z^3 a^{-5} -3 a^4 z^2-6 a^2 z^2-12 z^2 a^{-2} -6 z^2 a^{-4} -9 z^2+3 a^3 z+7 a z+7 z a^{-1} +3 z a^{-3} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math]



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