K13n3128

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Polynomial invariants

Jones polynomial Data:K13n3128/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -6 t^2+27 t-41+27 t^{-1} -6 t^{-2} }[/math]
Conway polynomial Data:K13n3128/Conway Polynomial
Determinant 107
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^{10}+3 z^2 a^8+a^8-2 z^4 a^6+a^6-3 z^4 a^4-3 z^2 a^4-2 a^4-z^4 a^2+2 z^2 a^2+2 a^2+z^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-11 z^6 a^{10}+11 z^4 a^{10}-4 z^2 a^{10}+a^{10}+4 z^9 a^9-12 z^7 a^9+6 z^5 a^9+z^3 a^9+3 z^{10} a^8-5 z^8 a^8-8 z^6 a^8+12 z^4 a^8-5 z^2 a^8+a^8+z^{11} a^7+4 z^9 a^7-20 z^7 a^7+21 z^5 a^7-11 z^3 a^7+2 z a^7+5 z^{10} a^6-13 z^8 a^6+10 z^6 a^6-4 z^4 a^6+2 z^2 a^6-a^6+z^{11} a^5+z^9 a^5-5 z^7 a^5+5 z^5 a^5-z a^5+2 z^{10} a^4-5 z^8 a^4+13 z^6 a^4-15 z^4 a^4+10 z^2 a^4-2 a^4+z^9 a^3+2 z^7 a^3-3 z^5 a^3+4 z^3 a^3-z a^3+6 z^6 a^2-9 z^4 a^2+6 z^2 a^2-2 a^2+3 z^5 a-3 z^3 a+z^4-z^2 }[/math]



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