K13n2638

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Polynomial invariants

Jones polynomial Data:K13n2638/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^3-4 t^2+7 t-7+7 t^{-1} -4 t^{-2} + t^{-3} }[/math]
Conway polynomial Data:K13n2638/Conway Polynomial
Determinant 31
Signature 2
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^6-a^4 z^4+5 a^2 z^4-2 z^4-3 a^4 z^2+9 a^2 z^2+z^2 a^{-2} -7 z^2-2 a^4+6 a^2+2 a^{-2} -5 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+a^5 z^9-3 a^3 z^9-a z^9+3 z^9 a^{-1} -14 a^4 z^8-33 a^2 z^8+z^8 a^{-2} -18 z^8-7 a^5 z^7-10 a^3 z^7-21 a z^7-18 z^7 a^{-1} +33 a^4 z^6+71 a^2 z^6-5 z^6 a^{-2} +33 z^6+16 a^5 z^5+39 a^3 z^5+53 a z^5+30 z^5 a^{-1} -33 a^4 z^4-67 a^2 z^4+2 z^4 a^{-2} -32 z^4-14 a^5 z^3-37 a^3 z^3-41 a z^3-21 z^3 a^{-1} -3 z^3 a^{-3} +14 a^4 z^2+31 a^2 z^2+3 z^2 a^{-2} -z^2 a^{-4} +21 z^2+4 a^5 z+10 a^3 z+10 a z+6 z a^{-1} +2 z a^{-3} -2 a^4-6 a^2-2 a^{-2} -5 }[/math]



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