K12n662

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ 2 q^5-5 q^4+7 q^3-9 q^2+10 q-9+8 q^{-1} -5 q^{-2} +3 q^{-3} - q^{-4} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^3-8 t^2+13 t-13+13 t^{-1} -8 t^{-2} +2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^6+4 z^4-z^2+1 }[/math]
Determinant	59
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +3 z^4-2 a^2 z^2+2 z^2 a^{-2} -3 z^2 a^{-4} +2 z^2+ a^{-2} -2 a^{-4} + a^{-6} +1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-2} +z^{10}+3 a z^9+4 z^9 a^{-1} +z^9 a^{-3} +3 a^2 z^8-2 z^8 a^{-2} +z^8+a^3 z^7-11 a z^7-12 z^7 a^{-1} -13 a^2 z^6+6 z^6 a^{-2} +5 z^6 a^{-4} -12 z^6-4 a^3 z^5+10 a z^5+10 z^5 a^{-1} -3 z^5 a^{-3} +z^5 a^{-5} +16 a^2 z^4-15 z^4 a^{-2} -10 z^4 a^{-4} +11 z^4+4 a^3 z^3-3 a z^3-7 z^3 a^{-1} +4 z^3 a^{-3} +4 z^3 a^{-5} -5 a^2 z^2+8 z^2 a^{-2} +10 z^2 a^{-4} +3 z^2 a^{-6} -4 z^2+a z+z a^{-1} -2 z a^{-3} -2 z a^{-5} - a^{-2} -2 a^{-4} - a^{-6} +1 }[/math]

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