K12a796

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-2 q^{11}+3 q^{10}-5 q^9+7 q^8-8 q^7+8 q^6-8 q^5+6 q^4-4 q^3+3 q^2-q+1 }[/math]
Alexander polynomial	[math]\displaystyle{ -3 t^3+9 t^2-11 t+11-11 t^{-1} +9 t^{-2} -3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -3 z^6-9 z^4-2 z^2+1 }[/math]
Determinant	57
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-4} -z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -4 z^4 a^{-4} -3 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-2} -4 z^2 a^{-4} -z^2 a^{-6} -4 z^2 a^{-8} +3 z^2 a^{-10} +3 a^{-2} -2 a^{-4} - a^{-8} + a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +3 z^{10} a^{-8} +2 z^{10} a^{-10} +z^9 a^{-5} -6 z^9 a^{-7} -5 z^9 a^{-9} +2 z^9 a^{-11} +z^8 a^{-4} -4 z^8 a^{-6} -18 z^8 a^{-8} -11 z^8 a^{-10} +2 z^8 a^{-12} +z^7 a^{-3} -3 z^7 a^{-5} +16 z^7 a^{-7} +10 z^7 a^{-9} -8 z^7 a^{-11} +2 z^7 a^{-13} +z^6 a^{-2} -2 z^6 a^{-4} +6 z^6 a^{-6} +41 z^6 a^{-8} +24 z^6 a^{-10} -7 z^6 a^{-12} +z^6 a^{-14} -3 z^5 a^{-3} +3 z^5 a^{-5} -20 z^5 a^{-7} -8 z^5 a^{-9} +10 z^5 a^{-11} -8 z^5 a^{-13} -5 z^4 a^{-2} -3 z^4 a^{-4} -2 z^4 a^{-6} -35 z^4 a^{-8} -22 z^4 a^{-10} +5 z^4 a^{-12} -4 z^4 a^{-14} -3 z^3 a^{-5} +15 z^3 a^{-7} +6 z^3 a^{-9} -5 z^3 a^{-11} +7 z^3 a^{-13} +7 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +12 z^2 a^{-8} +7 z^2 a^{-10} -z^2 a^{-12} +3 z^2 a^{-14} +2 z a^{-3} +z a^{-5} -4 z a^{-7} -2 z a^{-9} -z a^{-13} -3 a^{-2} -2 a^{-4} - a^{-8} - a^{-10} }[/math]

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