K13n2747

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Polynomial invariants

Jones polynomial Data:K13n2747/Jones Polynomial
Alexander polynomial [math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math]
Conway polynomial Data:K13n2747/Conway Polynomial
Determinant 81
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ z^4 a^6+z^2 a^6-a^6-z^6 a^4-2 z^4 a^4+z^2 a^4+3 a^4-z^6 a^2-3 z^4 a^2-4 z^2 a^2-3 a^2+z^4+2 z^2+2 }[/math]
Kauffman polynomial [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+9 a^4 z^{10}+4 a^2 z^{10}+4 a^7 z^9-a^5 z^9-2 a^3 z^9+3 a z^9+a^8 z^8-23 a^6 z^8-42 a^4 z^8-17 a^2 z^8+z^8-19 a^7 z^7-28 a^5 z^7-23 a^3 z^7-14 a z^7-4 a^8 z^6+28 a^6 z^6+53 a^4 z^6+16 a^2 z^6-5 z^6+25 a^7 z^5+48 a^5 z^5+42 a^3 z^5+19 a z^5+4 a^8 z^4-9 a^6 z^4-19 a^4 z^4+2 a^2 z^4+8 z^4-9 a^7 z^3-22 a^5 z^3-23 a^3 z^3-10 a z^3-a^8 z^2-2 a^6 z^2-5 a^4 z^2-9 a^2 z^2-5 z^2+2 a^5 z+4 a^3 z+2 a z+a^6+3 a^4+3 a^2+2 }[/math]



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