K12a662

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^6-5 q^5+12 q^4-21 q^3+30 q^2-36 q+39-35 q^{-1} +28 q^{-2} -19 q^{-3} +10 q^{-4} -4 q^{-5} + q^{-6} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-8 t^3+27 t^2-52 t+65-52 t^{-1} +27 t^{-2} -8 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8-z^4+1 }[/math]
Determinant	241
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-2 a^2 z^6-2 z^6 a^{-2} +4 z^6+a^4 z^4-6 a^2 z^4-5 z^4 a^{-2} +z^4 a^{-4} +8 z^4+2 a^4 z^2-7 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +8 z^2+a^4-3 a^2- a^{-2} +4 }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +8 a^2 z^{10}+10 z^{10} a^{-2} +18 z^{10}+10 a^3 z^9+17 a z^9+21 z^9 a^{-1} +14 z^9 a^{-3} +8 a^4 z^8-3 a^2 z^8-6 z^8 a^{-2} +11 z^8 a^{-4} -28 z^8+4 a^5 z^7-15 a^3 z^7-48 a z^7-60 z^7 a^{-1} -26 z^7 a^{-3} +5 z^7 a^{-5} +a^6 z^6-15 a^4 z^6-16 a^2 z^6-20 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} +2 z^6-8 a^5 z^5+5 a^3 z^5+45 a z^5+52 z^5 a^{-1} +12 z^5 a^{-3} -8 z^5 a^{-5} -2 a^6 z^4+9 a^4 z^4+20 a^2 z^4+23 z^4 a^{-2} +10 z^4 a^{-4} -z^4 a^{-6} +21 z^4+5 a^5 z^3-17 a z^3-15 z^3 a^{-1} -z^3 a^{-3} +2 z^3 a^{-5} +a^6 z^2-3 a^4 z^2-12 a^2 z^2-8 z^2 a^{-2} -2 z^2 a^{-4} -14 z^2-a^5 z-a^3 z+a z+z a^{-1} +a^4+3 a^2+ a^{-2} +4 }[/math]

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