K12n646

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^7-5 q^6+9 q^5-13 q^4+17 q^3-17 q^2+16 q-12+8 q^{-1} -4 q^{-2} + q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^4+5 t^3-12 t^2+21 t-25+21 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ -z^8-3 z^6-2 z^4+2 z^2+1 }[/math]
Determinant	103
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +z^6-8 z^4 a^{-2} +3 z^4 a^{-4} +3 z^4-3 z^2 a^{-2} +3 z^2 a^{-4} +2 z^2+ a^{-2} + a^{-4} - a^{-6} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +6 z^9 a^{-1} +9 z^9 a^{-3} +3 z^9 a^{-5} +5 z^8 a^{-2} -z^8 a^{-4} +z^8 a^{-6} +7 z^8+4 a z^7-14 z^7 a^{-1} -24 z^7 a^{-3} -6 z^7 a^{-5} +a^2 z^6-24 z^6 a^{-2} +2 z^6 a^{-4} +5 z^6 a^{-6} -20 z^6-10 a z^5+7 z^5 a^{-1} +27 z^5 a^{-3} +15 z^5 a^{-5} +5 z^5 a^{-7} -2 a^2 z^4+23 z^4 a^{-2} -z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} +15 z^4+4 a z^3-z^3 a^{-1} -13 z^3 a^{-3} -12 z^3 a^{-5} -4 z^3 a^{-7} -5 z^2 a^{-2} -z^2 a^{-4} -4 z^2+z a^{-1} +3 z a^{-3} +z a^{-5} -z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math]

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