K13n4106

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Polynomial invariants

Jones polynomial Data:K13n4106/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^2+9 t-13+9 t^{-1} -2 t^{-2} }[/math]
Conway polynomial Data:K13n4106/Conway Polynomial
Determinant 35
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+z^6 a^6+5 z^4 a^6+10 z^2 a^6+6 a^6-z^6 a^4-7 z^4 a^4-12 z^2 a^4-7 a^4+z^4 a^2+5 z^2 a^2+4 a^2 }[/math]
Kauffman polynomial [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+4 z^3 a^{11}+3 z^8 a^{10}-13 z^6 a^{10}+14 z^4 a^{10}-3 z^2 a^{10}+3 z^9 a^9-13 z^7 a^9+15 z^5 a^9-8 z^3 a^9+4 z a^9+z^{10} a^8-2 z^8 a^8-3 z^6 a^8+z^4 a^8+4 z^2 a^8-2 a^8+3 z^9 a^7-15 z^7 a^7+27 z^5 a^7-26 z^3 a^7+8 z a^7+z^{10} a^6-7 z^8 a^6+22 z^6 a^6-36 z^4 a^6+24 z^2 a^6-6 a^6-z^7 a^5+7 z^5 a^5-12 z^3 a^5+5 z a^5-2 z^8 a^4+13 z^6 a^4-29 z^4 a^4+27 z^2 a^4-7 a^4-z^5 a^3+2 z^3 a^3+z a^3+z^6 a^2-6 z^4 a^2+10 z^2 a^2-4 a^2 }[/math]



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