K12a1062

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-3 q^{11}+7 q^{10}-12 q^9+16 q^8-21 q^7+22 q^6-20 q^5+17 q^4-11 q^3+7 q^2-3 q+1 }[/math]
Alexander polynomial	[math]\displaystyle{ -3 t^3+15 t^2-32 t+41-32 t^{-1} +15 t^{-2} -3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -3 z^6-3 z^4+z^2+1 }[/math]
Determinant	141
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -2 z^4 a^{-4} -3 z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-2} -z^2 a^{-4} +4 z^2 a^{-6} -6 z^2 a^{-8} +2 z^2 a^{-10} + a^{-2} +3 a^{-6} -5 a^{-8} +2 a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +10 z^{10} a^{-8} +6 z^{10} a^{-10} +4 z^9 a^{-5} +4 z^9 a^{-9} +8 z^9 a^{-11} +4 z^8 a^{-4} -10 z^8 a^{-6} -39 z^8 a^{-8} -19 z^8 a^{-10} +6 z^8 a^{-12} +3 z^7 a^{-3} -5 z^7 a^{-5} -11 z^7 a^{-7} -36 z^7 a^{-9} -30 z^7 a^{-11} +3 z^7 a^{-13} +z^6 a^{-2} -7 z^6 a^{-4} +19 z^6 a^{-6} +67 z^6 a^{-8} +20 z^6 a^{-10} -19 z^6 a^{-12} +z^6 a^{-14} -8 z^5 a^{-3} -3 z^5 a^{-5} +29 z^5 a^{-7} +74 z^5 a^{-9} +42 z^5 a^{-11} -8 z^5 a^{-13} -3 z^4 a^{-2} -2 z^4 a^{-4} -25 z^4 a^{-6} -47 z^4 a^{-8} -2 z^4 a^{-10} +16 z^4 a^{-12} -3 z^4 a^{-14} +5 z^3 a^{-3} +z^3 a^{-5} -28 z^3 a^{-7} -54 z^3 a^{-9} -28 z^3 a^{-11} +2 z^3 a^{-13} +3 z^2 a^{-2} +4 z^2 a^{-4} +12 z^2 a^{-6} +18 z^2 a^{-8} -6 z^2 a^{-12} +z^2 a^{-14} +9 z a^{-7} +17 z a^{-9} +8 z a^{-11} - a^{-2} -3 a^{-6} -5 a^{-8} -2 a^{-10} }[/math]

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