K12n709

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+3 q^6-5 q^5+7 q^4-9 q^3+10 q^2-9 q+8-5 q^{-1} +3 q^{-2} - q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-4 t^3+8 t^2-11 t+13-11 t^{-1} +8 t^{-2} -4 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+4 z^6+4 z^4+z^2+1 }[/math]
Determinant	61
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -z^6+12 z^4 a^{-2} -4 z^4 a^{-4} -4 z^4+9 z^2 a^{-2} -4 z^2 a^{-4} -4 z^2+2 a^{-2} - a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +4 z^9 a^{-3} +3 z^9 a^{-5} -2 z^8 a^{-2} +z^8 a^{-4} +3 z^8 a^{-6} -12 z^7 a^{-3} -11 z^7 a^{-5} +z^7 a^{-7} +7 z^6 a^{-2} -13 z^6 a^{-4} -13 z^6 a^{-6} +7 z^6+5 a z^5+2 z^5 a^{-1} +9 z^5 a^{-3} +8 z^5 a^{-5} -4 z^5 a^{-7} +3 a^2 z^4-17 z^4 a^{-2} +12 z^4 a^{-4} +15 z^4 a^{-6} -11 z^4+a^3 z^3-4 a z^3-7 z^3 a^{-1} -4 z^3 a^{-3} +2 z^3 a^{-5} +4 z^3 a^{-7} -a^2 z^2+10 z^2 a^{-2} -4 z^2 a^{-6} +5 z^2+a z+2 z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} -2 a^{-2} - a^{-4} }[/math]

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