K13n1889

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Polynomial invariants

Jones polynomial Data:K13n1889/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -6 t^2+24 t-35+24 t^{-1} -6 t^{-2} }[/math]
Conway polynomial Data:K13n1889/Conway Polynomial
Determinant 95
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -a^{10}+3 z^2 a^8+2 a^8-2 z^4 a^6-z^2 a^6-3 z^4 a^4-4 z^2 a^4-2 a^4-z^4 a^2+z^2 a^2+a^2+z^2+1 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}-z a^{11}+3 z^8 a^{10}-12 z^6 a^{10}+13 z^4 a^{10}-5 z^2 a^{10}+a^{10}+4 z^9 a^9-14 z^7 a^9+11 z^5 a^9-2 z^3 a^9+z a^9+3 z^{10} a^8-7 z^8 a^8-4 z^6 a^8+13 z^4 a^8-9 z^2 a^8+2 a^8+z^{11} a^7+3 z^9 a^7-21 z^7 a^7+31 z^5 a^7-22 z^3 a^7+5 z a^7+5 z^{10} a^6-18 z^8 a^6+26 z^6 a^6-19 z^4 a^6+4 z^2 a^6+z^{11} a^5-7 z^7 a^5+18 z^5 a^5-15 z^3 a^5+3 z a^5+2 z^{10} a^4-8 z^8 a^4+22 z^6 a^4-26 z^4 a^4+15 z^2 a^4-2 a^4+z^9 a^3-z^7 a^3+4 z^5 a^3-z^3 a^3+4 z^6 a^2-6 z^4 a^2+5 z^2 a^2-a^2+2 z^5 a-2 z^3 a+z^4-2 z^2+1 }[/math]



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