K12a638

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^{12}-4 q^{11}+9 q^{10}-16 q^9+22 q^8-27 q^7+29 q^6-26 q^5+21 q^4-14 q^3+8 q^2-3 q+1 }[/math]
Alexander polynomial	[math]\displaystyle{ -4 t^3+20 t^2-41 t+51-41 t^{-1} +20 t^{-2} -4 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -4 z^6-4 z^4+3 z^2+1 }[/math]
Determinant	181
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} -4 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-10} + a^{-2} + a^{-6} - a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +5 z^{10} a^{-6} +12 z^{10} a^{-8} +7 z^{10} a^{-10} +6 z^9 a^{-5} +8 z^9 a^{-7} +12 z^9 a^{-9} +10 z^9 a^{-11} +5 z^8 a^{-4} -6 z^8 a^{-6} -31 z^8 a^{-8} -12 z^8 a^{-10} +8 z^8 a^{-12} +3 z^7 a^{-3} -10 z^7 a^{-5} -30 z^7 a^{-7} -48 z^7 a^{-9} -27 z^7 a^{-11} +4 z^7 a^{-13} +z^6 a^{-2} -9 z^6 a^{-4} +4 z^6 a^{-6} +38 z^6 a^{-8} +3 z^6 a^{-10} -20 z^6 a^{-12} +z^6 a^{-14} -7 z^5 a^{-3} +6 z^5 a^{-5} +46 z^5 a^{-7} +69 z^5 a^{-9} +27 z^5 a^{-11} -9 z^5 a^{-13} -3 z^4 a^{-2} +2 z^4 a^{-4} -6 z^4 a^{-6} -20 z^4 a^{-8} +6 z^4 a^{-10} +13 z^4 a^{-12} -2 z^4 a^{-14} +4 z^3 a^{-3} -6 z^3 a^{-5} -34 z^3 a^{-7} -40 z^3 a^{-9} -13 z^3 a^{-11} +3 z^3 a^{-13} +3 z^2 a^{-2} +z^2 a^{-4} +3 z^2 a^{-6} +6 z^2 a^{-8} -2 z^2 a^{-10} -3 z^2 a^{-12} +2 z a^{-5} +9 z a^{-7} +9 z a^{-9} +2 z a^{-11} - a^{-2} - a^{-6} - a^{-8} }[/math]

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