K12a484

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^6-6 q^5+15 q^4-26 q^3+37 q^2-44 q+47-42 q^{-1} +33 q^{-2} -22 q^{-3} +11 q^{-4} -4 q^{-5} + q^{-6} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-9 t^3+32 t^2-63 t+79-63 t^{-1} +32 t^{-2} -9 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8-z^6-2 z^4+1 }[/math]
Determinant	289
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-2 a^2 z^6-2 z^6 a^{-2} +3 z^6+a^4 z^4-5 a^2 z^4-3 z^4 a^{-2} +z^4 a^{-4} +4 z^4+2 a^4 z^2-5 a^2 z^2+z^2 a^{-2} +2 z^2+a^4-2 a^2+2 a^{-2} - a^{-4} +1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 4 a z^{11}+4 z^{11} a^{-1} +11 a^2 z^{10}+14 z^{10} a^{-2} +25 z^{10}+13 a^3 z^9+26 a z^9+33 z^9 a^{-1} +20 z^9 a^{-3} +9 a^4 z^8-5 a^2 z^8-3 z^8 a^{-2} +15 z^8 a^{-4} -32 z^8+4 a^5 z^7-22 a^3 z^7-72 a z^7-85 z^7 a^{-1} -33 z^7 a^{-3} +6 z^7 a^{-5} +a^6 z^6-16 a^4 z^6-20 a^2 z^6-35 z^6 a^{-2} -24 z^6 a^{-4} +z^6 a^{-6} -13 z^6-7 a^5 z^5+17 a^3 z^5+65 a z^5+59 z^5 a^{-1} +12 z^5 a^{-3} -6 z^5 a^{-5} -2 a^6 z^4+12 a^4 z^4+28 a^2 z^4+22 z^4 a^{-2} +8 z^4 a^{-4} +28 z^4+4 a^5 z^3-7 a^3 z^3-24 a z^3-16 z^3 a^{-1} -3 z^3 a^{-3} +a^6 z^2-5 a^4 z^2-13 a^2 z^2+z^2 a^{-4} -8 z^2-a^5 z+3 a z+3 z a^{-1} +2 z a^{-3} +z a^{-5} +a^4+2 a^2-2 a^{-2} - a^{-4} +1 }[/math]

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