K12a279

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^5+4 q^4-9 q^3+15 q^2-21 q+26-26 q^{-1} +24 q^{-2} -19 q^{-3} +13 q^{-4} -7 q^{-5} +3 q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^3+15 t^2-40 t+55-40 t^{-1} +15 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^6+3 z^4+2 z^2+1 }[/math]
Determinant	169
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+2 a^4-z^6 a^2-z^4 a^2-2 z^2 a^2-2 a^2-z^6+2 z^2+3+2 z^4 a^{-2} +z^2 a^{-2} - a^{-2} -z^2 a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+7 a^2 z^{10}+4 z^{10}+4 a^5 z^9+9 a^3 z^9+13 a z^9+8 z^9 a^{-1} +3 a^6 z^8-4 a^2 z^8+10 z^8 a^{-2} +9 z^8+a^7 z^7-10 a^5 z^7-27 a^3 z^7-29 a z^7-5 z^7 a^{-1} +8 z^7 a^{-3} -11 a^6 z^6-20 a^4 z^6-22 a^2 z^6-15 z^6 a^{-2} +4 z^6 a^{-4} -32 z^6-4 a^7 z^5+3 a^5 z^5+20 a^3 z^5+19 a z^5-7 z^5 a^{-1} -12 z^5 a^{-3} +z^5 a^{-5} +13 a^6 z^4+26 a^4 z^4+29 a^2 z^4+10 z^4 a^{-2} -5 z^4 a^{-4} +31 z^4+5 a^7 z^3+5 a^5 z^3-6 a^3 z^3-6 a z^3+7 z^3 a^{-1} +6 z^3 a^{-3} -z^3 a^{-5} -6 a^6 z^2-12 a^4 z^2-14 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} -13 z^2-2 a^7 z-2 a^5 z+a^3 z+a z-z a^{-1} -z a^{-3} +a^6+2 a^4+2 a^2+ a^{-2} +3 }[/math]

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