K12a1207

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^{11}+4 q^{10}-9 q^9+16 q^8-25 q^7+31 q^6-33 q^5+32 q^4-26 q^3+19 q^2-11 q+5- q^{-1} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^4-11 t^3+28 t^2-42 t+47-42 t^{-1} +28 t^{-2} -11 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^8+5 z^6+2 z^4+3 z^2+1 }[/math]
Determinant	213
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +3 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} -2 z^4 a^{-2} +z^4 a^{-4} +6 z^4 a^{-6} -3 z^4 a^{-8} +z^2 a^{-2} -z^2 a^{-4} +5 z^2 a^{-6} -2 z^2 a^{-8} + a^{-2} + a^{-6} - a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 4 z^{11} a^{-5} +4 z^{11} a^{-7} +10 z^{10} a^{-4} +20 z^{10} a^{-6} +10 z^{10} a^{-8} +10 z^9 a^{-3} +7 z^9 a^{-5} +9 z^9 a^{-7} +12 z^9 a^{-9} +5 z^8 a^{-2} -27 z^8 a^{-4} -59 z^8 a^{-6} -16 z^8 a^{-8} +11 z^8 a^{-10} +z^7 a^{-1} -31 z^7 a^{-3} -48 z^7 a^{-5} -42 z^7 a^{-7} -18 z^7 a^{-9} +8 z^7 a^{-11} -14 z^6 a^{-2} +18 z^6 a^{-4} +62 z^6 a^{-6} +11 z^6 a^{-8} -15 z^6 a^{-10} +4 z^6 a^{-12} -2 z^5 a^{-1} +25 z^5 a^{-3} +51 z^5 a^{-5} +44 z^5 a^{-7} +8 z^5 a^{-9} -11 z^5 a^{-11} +z^5 a^{-13} +8 z^4 a^{-2} -6 z^4 a^{-4} -31 z^4 a^{-6} -6 z^4 a^{-8} +6 z^4 a^{-10} -5 z^4 a^{-12} -5 z^3 a^{-3} -15 z^3 a^{-5} -14 z^3 a^{-7} +2 z^3 a^{-9} +5 z^3 a^{-11} -z^3 a^{-13} +z^2 a^{-2} +3 z^2 a^{-4} +7 z^2 a^{-6} +4 z^2 a^{-8} +z^2 a^{-12} -z a^{-5} -z a^{-11} - a^{-2} - a^{-6} - a^{-8} }[/math]

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