K12a1177

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^5+4 q^4-10 q^3+18 q^2-24 q+29-30 q^{-1} +27 q^{-2} -21 q^{-3} +14 q^{-4} -7 q^{-5} +3 q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ 2 t^4-9 t^3+22 t^2-38 t+47-38 t^{-1} +22 t^{-2} -9 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ 2 z^8+7 z^6+8 z^4+z^2+1 }[/math]
Determinant	189
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ a^2 z^8+z^8-a^4 z^6+5 a^2 z^6-z^6 a^{-2} +4 z^6-4 a^4 z^4+10 a^2 z^4-3 z^4 a^{-2} +5 z^4-5 a^4 z^2+8 a^2 z^2-3 z^2 a^{-2} +z^2-a^4+2 a^2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+4 a^4 z^{10}+11 a^2 z^{10}+7 z^{10}+4 a^5 z^9+4 a^3 z^9+12 a z^9+12 z^9 a^{-1} +3 a^6 z^8-6 a^4 z^8-24 a^2 z^8+13 z^8 a^{-2} -2 z^8+a^7 z^7-9 a^5 z^7-13 a^3 z^7-29 a z^7-17 z^7 a^{-1} +9 z^7 a^{-3} -11 a^6 z^6-2 a^4 z^6+28 a^2 z^6-21 z^6 a^{-2} +4 z^6 a^{-4} -6 z^6-4 a^7 z^5+3 a^3 z^5+23 a z^5+11 z^5 a^{-1} -12 z^5 a^{-3} +z^5 a^{-5} +13 a^6 z^4+2 a^4 z^4-31 a^2 z^4+15 z^4 a^{-2} -4 z^4 a^{-4} -z^4+5 a^7 z^3+9 a^5 z^3+2 a^3 z^3-15 a z^3-6 z^3 a^{-1} +6 z^3 a^{-3} -z^3 a^{-5} -5 a^6 z^2+3 a^4 z^2+14 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +z^2-2 a^7 z-3 a^5 z+a^3 z+4 a z+2 z a^{-1} -a^4-2 a^2 }[/math]

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