K12a1218

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^6-3 q^5+5 q^4-9 q^3+13 q^2-15 q+17-15 q^{-1} +13 q^{-2} -9 q^{-3} +5 q^{-4} -3 q^{-5} + q^{-6} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^5+4 t^4-8 t^3+13 t^2-18 t+21-18 t^{-1} +13 t^{-2} -8 t^{-3} +4 t^{-4} - t^{-5} }[/math]
Conway polynomial	[math]\displaystyle{ -z^{10}-6 z^8-11 z^6-5 z^4+z^2+1 }[/math]
Determinant	109
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -8 z^8+6 a^2 z^6+6 z^6 a^{-2} -23 z^6+11 a^2 z^4+11 z^4 a^{-2} -27 z^4+5 a^2 z^2+5 z^2 a^{-2} -9 z^2-a^2- a^{-2} +3 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +8 z^{10}+4 a^3 z^9-5 a z^9-5 z^9 a^{-1} +4 z^9 a^{-3} +4 a^4 z^8-16 a^2 z^8-16 z^8 a^{-2} +4 z^8 a^{-4} -40 z^8+3 a^5 z^7-11 a^3 z^7+a z^7+z^7 a^{-1} -11 z^7 a^{-3} +3 z^7 a^{-5} +a^6 z^6-12 a^4 z^6+28 a^2 z^6+28 z^6 a^{-2} -12 z^6 a^{-4} +z^6 a^{-6} +82 z^6-10 a^5 z^5+5 a^3 z^5+13 a z^5+13 z^5 a^{-1} +5 z^5 a^{-3} -10 z^5 a^{-5} -3 a^6 z^4+7 a^4 z^4-22 a^2 z^4-22 z^4 a^{-2} +7 z^4 a^{-4} -3 z^4 a^{-6} -64 z^4+7 a^5 z^3+5 a^3 z^3-7 a z^3-7 z^3 a^{-1} +5 z^3 a^{-3} +7 z^3 a^{-5} +a^6 z^2+6 a^2 z^2+6 z^2 a^{-2} +z^2 a^{-6} +14 z^2-a^5 z-3 a^3 z-3 a z-3 z a^{-1} -3 z a^{-3} -z a^{-5} +a^2+ a^{-2} +3 }[/math]

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