K13n1900

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Polynomial invariants

Jones polynomial Data:K13n1900/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-14 t^2+36 t-47+36 t^{-1} -14 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1900/Conway Polynomial
Determinant 151
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-2 z^2 a^6-a^6+z^6 a^4-2 z^2 a^4-a^4+z^6 a^2+z^4 a^2+z^2 a^2+a^2-z^4+1 }[/math]
Kauffman polynomial [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+5 a^6 z^{10}+7 a^4 z^{10}+2 a^2 z^{10}+8 a^7 z^9+13 a^5 z^9+6 a^3 z^9+a z^9+6 a^8 z^8-5 a^6 z^8-11 a^4 z^8+3 a^9 z^7-23 a^7 z^7-46 a^5 z^7-16 a^3 z^7+4 a z^7+a^{10} z^6-15 a^8 z^6-9 a^6 z^6+5 a^4 z^6+3 a^2 z^6+5 z^6-7 a^9 z^5+32 a^7 z^5+69 a^5 z^5+24 a^3 z^5-5 a z^5+z^5 a^{-1} -3 a^{10} z^4+13 a^8 z^4+20 a^6 z^4+4 a^4 z^4-7 a^2 z^4-7 z^4+3 a^9 z^3-27 a^7 z^3-48 a^5 z^3-19 a^3 z^3-2 a z^3-z^3 a^{-1} +2 a^{10} z^2-7 a^8 z^2-12 a^6 z^2+3 a^2 z^2+7 a^7 z+13 a^5 z+7 a^3 z+a z+a^8+a^6-a^4-a^2+1 }[/math]



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