K13n1913

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Polynomial invariants

Jones polynomial Data:K13n1913/Jones Polynomial
Alexander polynomial [math]\displaystyle{ t^4-4 t^3+11 t^2-21 t+27-21 t^{-1} +11 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial Data:K13n1913/Conway Polynomial
Determinant 101
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-z^6-4 a^4 z^4+14 a^2 z^4-3 z^4-6 a^4 z^2+14 a^2 z^2-z^2 a^{-2} -4 z^2-3 a^4+6 a^2-2 }[/math]
Kauffman polynomial [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+4 a^5 z^9+3 a^3 z^9+z^9 a^{-1} +3 a^6 z^8-6 a^4 z^8-17 a^2 z^8-8 z^8+a^7 z^7-12 a^5 z^7-15 a^3 z^7-5 a z^7-3 z^7 a^{-1} -11 a^6 z^6-a^4 z^6+31 a^2 z^6+z^6 a^{-2} +22 z^6-4 a^7 z^5+6 a^5 z^5+15 a^3 z^5+18 a z^5+13 z^5 a^{-1} +11 a^6 z^4-4 a^4 z^4-40 a^2 z^4+4 z^4 a^{-2} -21 z^4+5 a^7 z^3+2 a^5 z^3-13 a^3 z^3-23 a z^3-11 z^3 a^{-1} +2 z^3 a^{-3} -3 a^6 z^2+10 a^4 z^2+24 a^2 z^2-2 z^2 a^{-2} +9 z^2-2 a^7 z+6 a^3 z+7 a z+3 z a^{-1} -3 a^4-6 a^2-2 }[/math]



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