K13n256

Dowker-Thistlethwaite code

4 8 12 2 -14 -20 6 -22 -24 -10 -26 -16 -18

Jones polynomial	Data:K13n256/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^4+5 t^3-11 t^2+16 t-17+16 t^{-1} -11 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial	Data:K13n256/Conway Polynomial
Determinant	83
Signature	-2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8+2 a^2 z^6+z^6 a^{-2} -6 z^6-a^4 z^4+9 a^2 z^4+4 z^4 a^{-2} -13 z^4-3 a^4 z^2+12 a^2 z^2+4 z^2 a^{-2} -12 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math]
Kauffman polynomial	[math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+3 z^{10} a^{-2} +5 z^{10}+2 a^3 z^9+z^9 a^{-1} +3 z^9 a^{-3} +2 a^4 z^8-5 a^2 z^8-14 z^8 a^{-2} +z^8 a^{-4} -22 z^8+a^5 z^7-2 a^3 z^7-7 a z^7-20 z^7 a^{-1} -16 z^7 a^{-3} -3 a^4 z^6+10 a^2 z^6+19 z^6 a^{-2} -5 z^6 a^{-4} +37 z^6-2 a^3 z^5+9 a z^5+37 z^5 a^{-1} +26 z^5 a^{-3} +3 a^6 z^4+3 a^4 z^4-23 a^2 z^4-9 z^4 a^{-2} +7 z^4 a^{-4} -39 z^4+a^7 z^3+3 a^5 z^3+2 a^3 z^3-12 a z^3-25 z^3 a^{-1} -13 z^3 a^{-3} -2 a^6 z^2+3 a^4 z^2+18 a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} +19 z^2-a^7 z-a^5 z+a^3 z+4 a z+5 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math]

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