K12n778

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{10}-3 q^9+6 q^8-10 q^7+13 q^6-14 q^5+13 q^4-11 q^3+8 q^2-4 q+2 }[/math]
Alexander polynomial	[math]\displaystyle{ -3 t^3+11 t^2-18 t+21-18 t^{-1} +11 t^{-2} -3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -3 z^6-7 z^4-z^2+1 }[/math]
Determinant	85
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -2 z^6 a^{-4} -z^6 a^{-6} +2 z^4 a^{-2} -8 z^4 a^{-4} -2 z^4 a^{-6} +z^4 a^{-8} +6 z^2 a^{-2} -10 z^2 a^{-4} +z^2 a^{-6} +2 z^2 a^{-8} +4 a^{-2} -5 a^{-4} +2 a^{-6} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-3} +5 z^9 a^{-5} +4 z^9 a^{-7} -z^8 a^{-4} +6 z^8 a^{-6} +7 z^8 a^{-8} -z^7 a^{-3} -12 z^7 a^{-5} -4 z^7 a^{-7} +7 z^7 a^{-9} +3 z^6 a^{-2} +3 z^6 a^{-4} -20 z^6 a^{-6} -15 z^6 a^{-8} +5 z^6 a^{-10} -3 z^5 a^{-3} +7 z^5 a^{-5} -5 z^5 a^{-7} -12 z^5 a^{-9} +3 z^5 a^{-11} -11 z^4 a^{-2} -18 z^4 a^{-4} +14 z^4 a^{-6} +15 z^4 a^{-8} -5 z^4 a^{-10} +z^4 a^{-12} +z^3 a^{-3} -4 z^3 a^{-5} +8 z^3 a^{-7} +10 z^3 a^{-9} -3 z^3 a^{-11} +12 z^2 a^{-2} +18 z^2 a^{-4} -4 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} +z a^{-3} +z a^{-5} -2 z a^{-7} -2 z a^{-9} -4 a^{-2} -5 a^{-4} -2 a^{-6} }[/math]

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