K13n4904

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Polynomial invariants

Jones polynomial Data:K13n4904/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-11 t^2+30 t-41+30 t^{-1} -11 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n4904/Conway Polynomial
Determinant 127
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+6 z^2 a^6+3 a^6+z^6 a^4+z^4 a^4-a^4-2 z^4 a^2-z^2 a^2+a^2+z^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}-11 z^6 a^{10}+10 z^4 a^{10}-z^2 a^{10}+5 z^9 a^9-19 z^7 a^9+25 z^5 a^9-19 z^3 a^9+6 z a^9+5 z^{10} a^8-18 z^8 a^8+26 z^6 a^8-26 z^4 a^8+10 z^2 a^8-2 a^8+2 z^{11} a^7+z^9 a^7-21 z^7 a^7+37 z^5 a^7-32 z^3 a^7+7 z a^7+9 z^{10} a^6-33 z^8 a^6+51 z^6 a^6-43 z^4 a^6+17 z^2 a^6-3 a^6+2 z^{11} a^5-z^9 a^5-5 z^7 a^5+6 z^5 a^5+2 z^3 a^5-z a^5+4 z^{10} a^4-11 z^8 a^4+17 z^6 a^4-11 z^4 a^4+8 z^2 a^4-a^4+3 z^9 a^3-4 z^7 a^3+2 z^5 a^3+7 z^3 a^3-3 z a^3+z^8 a^2+3 z^6 a^2-3 z^4 a^2+z^2 a^2-a^2+4 z^5 a-4 z^3 a-z a+z^4-z^2 }[/math]



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