K13n2507

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Polynomial invariants

Jones polynomial Data:K13n2507/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+14 t^2-34 t+45-34 t^{-1} +14 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2507/Conway Polynomial
Determinant 145
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+2 z^2 a^4-z^6 a^2+3 z^2 a^2+2 a^2-z^6-z^4+1+z^4 a^{-2} - a^{-2} }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+7 a^2 z^{10}+3 z^{10}+5 a^5 z^9+11 a^3 z^9+9 a z^9+3 z^9 a^{-1} +3 a^6 z^8-5 a^4 z^8-9 a^2 z^8+z^8 a^{-2} +a^7 z^7-15 a^5 z^7-41 a^3 z^7-26 a z^7-z^7 a^{-1} -10 a^6 z^6-11 a^4 z^6-10 a^2 z^6+6 z^6 a^{-2} -3 z^6-4 a^7 z^5+13 a^5 z^5+46 a^3 z^5+29 a z^5+5 z^5 a^{-1} +5 z^5 a^{-3} +10 a^6 z^4+14 a^4 z^4+13 a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +3 z^4+5 a^7 z^3-6 a^5 z^3-29 a^3 z^3-20 a z^3-5 z^3 a^{-1} -3 z^3 a^{-3} -4 a^6 z^2-5 a^4 z^2-2 a^2 z^2-z^2-2 a^7 z+2 a^5 z+9 a^3 z+7 a z+z a^{-1} -z a^{-3} +a^6-2 a^2+ a^{-2} +1 }[/math]



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