K12a800

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-3 q^{11}+6 q^{10}-9 q^9+12 q^8-14 q^7+14 q^6-13 q^5+9 q^4-6 q^3+4 q^2-q+1 }[/math]
Alexander polynomial	[math]\displaystyle{ -3 t^3+11 t^2-20 t+25-20 t^{-1} +11 t^{-2} -3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -3 z^6-7 z^4-3 z^2+1 }[/math]
Determinant	93
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} -2 z^4 a^{-6} -3 z^4 a^{-8} +z^4 a^{-10} +4 z^2 a^{-2} -6 z^2 a^{-4} -3 z^2 a^{-8} +2 z^2 a^{-10} +4 a^{-2} -4 a^{-4} + a^{-6} - a^{-8} + a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +z^{10} a^{-6} +4 z^{10} a^{-8} +3 z^{10} a^{-10} +z^9 a^{-5} -4 z^9 a^{-7} +5 z^9 a^{-11} +z^8 a^{-4} -2 z^8 a^{-6} -17 z^8 a^{-8} -9 z^8 a^{-10} +5 z^8 a^{-12} +z^7 a^{-3} -z^7 a^{-5} +13 z^7 a^{-7} -6 z^7 a^{-9} -18 z^7 a^{-11} +3 z^7 a^{-13} +z^6 a^{-2} +6 z^6 a^{-6} +35 z^6 a^{-8} +10 z^6 a^{-10} -17 z^6 a^{-12} +z^6 a^{-14} -2 z^5 a^{-3} +3 z^5 a^{-5} -15 z^5 a^{-7} +11 z^5 a^{-9} +22 z^5 a^{-11} -9 z^5 a^{-13} -5 z^4 a^{-2} -7 z^4 a^{-4} -7 z^4 a^{-6} -28 z^4 a^{-8} -5 z^4 a^{-10} +15 z^4 a^{-12} -3 z^4 a^{-14} -2 z^3 a^{-3} -10 z^3 a^{-5} +7 z^3 a^{-7} -z^3 a^{-9} -12 z^3 a^{-11} +4 z^3 a^{-13} +8 z^2 a^{-2} +9 z^2 a^{-4} +z^2 a^{-6} +10 z^2 a^{-8} +4 z^2 a^{-10} -5 z^2 a^{-12} +z^2 a^{-14} +4 z a^{-3} +6 z a^{-5} -z a^{-7} -z a^{-9} +2 z a^{-11} -4 a^{-2} -4 a^{-4} - a^{-6} - a^{-8} - a^{-10} }[/math]

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