K12a520

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-3 q^{11}+6 q^{10}-11 q^9+15 q^8-19 q^7+21 q^6-19 q^5+16 q^4-11 q^3+7 q^2-3 q+1 }[/math]
Alexander polynomial	[math]\displaystyle{ -4 t^3+17 t^2-29 t+33-29 t^{-1} +17 t^{-2} -4 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -4 z^6-7 z^4+3 z^2+1 }[/math]
Determinant	133
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -z^4 a^{-4} -6 z^4 a^{-6} -2 z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-2} +4 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-10} +3 a^{-4} -2 a^{-6} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +6 z^{10} a^{-8} +3 z^{10} a^{-10} +5 z^9 a^{-5} +6 z^9 a^{-7} +5 z^9 a^{-9} +4 z^9 a^{-11} +5 z^8 a^{-4} -z^8 a^{-6} -14 z^8 a^{-8} -4 z^8 a^{-10} +4 z^8 a^{-12} +3 z^7 a^{-3} -12 z^7 a^{-5} -23 z^7 a^{-7} -18 z^7 a^{-9} -7 z^7 a^{-11} +3 z^7 a^{-13} +z^6 a^{-2} -14 z^6 a^{-4} -14 z^6 a^{-6} +12 z^6 a^{-8} +z^6 a^{-10} -9 z^6 a^{-12} +z^6 a^{-14} -8 z^5 a^{-3} +10 z^5 a^{-5} +32 z^5 a^{-7} +23 z^5 a^{-9} -9 z^5 a^{-13} -3 z^4 a^{-2} +13 z^4 a^{-4} +25 z^4 a^{-6} +3 z^4 a^{-8} +3 z^4 a^{-12} -3 z^4 a^{-14} +4 z^3 a^{-3} -6 z^3 a^{-5} -15 z^3 a^{-7} -8 z^3 a^{-9} +4 z^3 a^{-11} +7 z^3 a^{-13} +2 z^2 a^{-2} -10 z^2 a^{-4} -15 z^2 a^{-6} -z^2 a^{-8} +2 z^2 a^{-14} +3 z a^{-7} +z a^{-9} -4 z a^{-11} -2 z a^{-13} +3 a^{-4} +2 a^{-6} }[/math]

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