K13n3562

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Polynomial invariants

Jones polynomial Data:K13n3562/Jones Polynomial
Alexander polynomial [math]\displaystyle{ 2 t^2-14 t+25-14 t^{-1} +2 t^{-2} }[/math]
Conway polynomial Data:K13n3562/Conway Polynomial
Determinant 57
Signature 0
HOMFLY-PT polynomial [math]\displaystyle{ a^6-2 z^2 a^4-a^4+z^4 a^2+a^2+z^4-z^2-3 z^2 a^{-2} -2 a^{-2} +2 a^{-4} }[/math]
Kauffman polynomial [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+2 a^3 z^9-4 a z^9-6 z^9 a^{-1} +2 a^4 z^8-9 a^2 z^8-6 z^8 a^{-2} -17 z^8+2 a^5 z^7-6 a^3 z^7+6 a z^7+15 z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-5 a^4 z^6+16 a^2 z^6+14 z^6 a^{-2} +36 z^6-7 a^5 z^5+4 a^3 z^5-5 a z^5-18 z^5 a^{-1} -2 z^5 a^{-3} -4 a^6 z^4-a^4 z^4-13 a^2 z^4-10 z^4 a^{-2} +2 z^4 a^{-4} -28 z^4+5 a^5 z^3-a^3 z^3+10 a z^3+16 z^3 a^{-1} +4 a^6 z^2+3 a^4 z^2+5 a^2 z^2-2 z^2 a^{-2} -6 z^2 a^{-4} +10 z^2-a^5 z-a^3 z-5 a z-5 z a^{-1} -a^6-a^4-a^2+2 a^{-2} +2 a^{-4} }[/math]



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