K12a994

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^9-5 q^8+13 q^7-24 q^6+35 q^5-43 q^4+46 q^3-43 q^2+35 q-23+13 q^{-1} -5 q^{-2} + q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^4+12 t^3-34 t^2+60 t-71+60 t^{-1} -34 t^{-2} +12 t^{-3} -2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^8-4 z^6-2 z^4+1 }[/math]
Determinant	287
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -3 z^6 a^{-2} -3 z^6 a^{-4} +z^6 a^{-6} +z^6-3 z^4 a^{-2} -3 z^4 a^{-4} +2 z^4 a^{-6} +2 z^4-z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +z^2+1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 5 z^{11} a^{-3} +5 z^{11} a^{-5} +14 z^{10} a^{-2} +28 z^{10} a^{-4} +14 z^{10} a^{-6} +17 z^9 a^{-1} +24 z^9 a^{-3} +24 z^9 a^{-5} +17 z^9 a^{-7} -15 z^8 a^{-2} -53 z^8 a^{-4} -14 z^8 a^{-6} +12 z^8 a^{-8} +12 z^8+5 a z^7-33 z^7 a^{-1} -76 z^7 a^{-3} -74 z^7 a^{-5} -31 z^7 a^{-7} +5 z^7 a^{-9} +a^2 z^6-9 z^6 a^{-2} +27 z^6 a^{-4} -9 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} -22 z^6-7 a z^5+23 z^5 a^{-1} +71 z^5 a^{-3} +67 z^5 a^{-5} +19 z^5 a^{-7} -7 z^5 a^{-9} -a^2 z^4+16 z^4 a^{-2} +2 z^4 a^{-4} +11 z^4 a^{-6} +11 z^4 a^{-8} -z^4 a^{-10} +12 z^4+a z^3-8 z^3 a^{-1} -25 z^3 a^{-3} -25 z^3 a^{-5} -7 z^3 a^{-7} +2 z^3 a^{-9} -5 z^2 a^{-2} -3 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} -3 z^2+z a^{-1} +3 z a^{-3} +3 z a^{-5} +z a^{-7} +1 }[/math]

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