K12a165

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{10}-3 q^9+5 q^8-9 q^7+12 q^6-14 q^5+16 q^4-14 q^3+12 q^2-9 q+6-3 q^{-1} + q^{-2} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^3+11 t^2-24 t+31-24 t^{-1} +11 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^6-z^4+2 z^2+1 }[/math]
Determinant	105
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -3 z^4 a^{-2} -2 z^4 a^{-4} +3 z^4 a^{-6} +z^4-3 z^2 a^{-2} -z^2 a^{-4} +7 z^2 a^{-6} -3 z^2 a^{-8} +2 z^2- a^{-2} +4 a^{-6} -4 a^{-8} + a^{-10} +1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +6 z^{10} a^{-4} +3 z^{10} a^{-6} +3 z^9 a^{-1} +4 z^9 a^{-3} +5 z^9 a^{-5} +4 z^9 a^{-7} -11 z^8 a^{-2} -20 z^8 a^{-4} -4 z^8 a^{-6} +4 z^8 a^{-8} +z^8-15 z^7 a^{-1} -33 z^7 a^{-3} -27 z^7 a^{-5} -5 z^7 a^{-7} +4 z^7 a^{-9} +4 z^6 a^{-2} +10 z^6 a^{-4} -3 z^6 a^{-6} +4 z^6 a^{-10} -5 z^6+23 z^5 a^{-1} +50 z^5 a^{-3} +30 z^5 a^{-5} +z^5 a^{-7} +z^5 a^{-9} +3 z^5 a^{-11} +14 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} -10 z^4 a^{-8} -3 z^4 a^{-10} +z^4 a^{-12} +8 z^4-13 z^3 a^{-1} -24 z^3 a^{-3} -12 z^3 a^{-5} -6 z^3 a^{-7} -9 z^3 a^{-9} -4 z^3 a^{-11} -10 z^2 a^{-2} -5 z^2 a^{-4} +7 z^2 a^{-6} +9 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} -5 z^2+2 z a^{-1} +4 z a^{-3} +2 z a^{-5} +4 z a^{-7} +6 z a^{-9} +2 z a^{-11} + a^{-2} -4 a^{-6} -4 a^{-8} - a^{-10} +1 }[/math]

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