K13n3332

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Polynomial invariants

Jones polynomial Data:K13n3332/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-8 t^2+19 t-25+19 t^{-1} -8 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n3332/Conway Polynomial
Determinant 83
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ -z^4 a^8-2 z^2 a^8-2 a^8+z^6 a^6+3 z^4 a^6+4 z^2 a^6+2 a^6+z^6 a^4+3 z^4 a^4+4 z^2 a^4+a^4-z^4 a^2-z^2 a^2 }[/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}-11 z^6 a^{10}+9 z^4 a^{10}-2 z^2 a^{10}+5 z^9 a^9-20 z^7 a^9+23 z^5 a^9-15 z^3 a^9+5 z a^9+4 z^{10} a^8-14 z^8 a^8+12 z^6 a^8-8 z^4 a^8+6 z^2 a^8-2 a^8+z^{11} a^7+4 z^9 a^7-30 z^7 a^7+47 z^5 a^7-32 z^3 a^7+8 z a^7+5 z^{10} a^6-19 z^8 a^6+21 z^6 a^6-8 z^4 a^6+4 z^2 a^6-2 a^6+z^{11} a^5-z^9 a^5-7 z^7 a^5+16 z^5 a^5-8 z^3 a^5+z a^5+z^{10} a^4-2 z^8 a^4-2 z^6 a^4+12 z^4 a^4-7 z^2 a^4+a^4+2 z^7 a^3-4 z^5 a^3+6 z^3 a^3-2 z a^3+3 z^4 a^2-3 z^2 a^2+z^3 a-z a }[/math]



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