K13n1883

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Polynomial invariants

Jones polynomial Data:K13n1883/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^3-15 t^2+40 t-53+40 t^{-1} -15 t^{-2} +2 t^{-3} }[/math]
Conway polynomial Data:K13n1883/Conway Polynomial
Determinant 167
Signature -2
HOMFLY-PT polynomial [math]\displaystyle{ z^2 a^8-2 z^4 a^6+2 a^6+z^6 a^4-z^4 a^4-5 z^2 a^4-4 a^4+z^6 a^2+z^4 a^2+2 z^2 a^2+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}+9 a^7 z^9+14 a^5 z^9+6 a^3 z^9+a z^9+8 a^8 z^8+2 a^6 z^8-6 a^4 z^8+4 a^9 z^7-17 a^7 z^7-33 a^5 z^7-8 a^3 z^7+4 a z^7+a^{10} z^6-17 a^8 z^6-19 a^6 z^6+2 a^4 z^6+8 a^2 z^6+5 z^6-8 a^9 z^5+11 a^7 z^5+28 a^5 z^5+4 a^3 z^5-4 a z^5+z^5 a^{-1} -2 a^{10} z^4+11 a^8 z^4+11 a^6 z^4-11 a^4 z^4-16 a^2 z^4-7 z^4+4 a^9 z^3-9 a^7 z^3-13 a^5 z^3+a^3 z^3-z^3 a^{-1} +a^{10} z^2-4 a^8 z^2+a^6 z^2+15 a^4 z^2+10 a^2 z^2+z^2+3 a^7 z+3 a^5 z-a^3 z-a z-2 a^6-4 a^4-2 a^2+1 }[/math]



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