K13n3614

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Polynomial invariants

Jones polynomial Data:K13n3614/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+13 t^2-36 t+51-36 t^{-1} +13 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n3614/Conway Polynomial
Determinant 153
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ -2 z^6 a^{-2} -6 z^4 a^{-2} +3 z^4 a^{-4} +4 z^4-3 a^2 z^2-8 z^2 a^{-2} +4 z^2 a^{-4} -z^2 a^{-6} +6 z^2+a^4-2 a^2-2 a^{-2} + a^{-4} +3 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +7 z^{10} a^{-4} +4 z^{10}+3 a z^9+5 z^9 a^{-1} +11 z^9 a^{-3} +9 z^9 a^{-5} +a^2 z^8-27 z^8 a^{-2} -13 z^8 a^{-4} +5 z^8 a^{-6} -8 z^8-7 a z^7-28 z^7 a^{-1} -49 z^7 a^{-3} -27 z^7 a^{-5} +z^7 a^{-7} +6 z^6 a^{-2} -11 z^6 a^{-4} -14 z^6 a^{-6} +3 z^6+3 a^3 z^5+14 a z^5+33 z^5 a^{-1} +42 z^5 a^{-3} +18 z^5 a^{-5} -2 z^5 a^{-7} +a^4 z^4+5 a^2 z^4+21 z^4 a^{-2} +18 z^4 a^{-4} +9 z^4 a^{-6} +16 z^4-4 a^3 z^3-6 a z^3-6 z^3 a^{-1} -7 z^3 a^{-3} -2 z^3 a^{-5} +z^3 a^{-7} -2 a^4 z^2-7 a^2 z^2-14 z^2 a^{-2} -7 z^2 a^{-4} -z^2 a^{-6} -13 z^2+a^3 z-2 z a^{-1} -2 z a^{-3} -z a^{-5} +a^4+2 a^2+2 a^{-2} + a^{-4} +3 }[/math]



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