K12a1143

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+4 q^6-9 q^5+16 q^4-24 q^3+30 q^2-32 q+31-25 q^{-1} +18 q^{-2} -10 q^{-3} +4 q^{-4} - q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^3+17 t^2-49 t+69-49 t^{-1} +17 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^6+5 z^4+z^2+1 }[/math]
Determinant	205
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -z^6+2 a^2 z^4+2 z^4 a^{-4} +z^4-a^4 z^2-z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +3 z^2-a^2- a^{-2} +3 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +13 z^{10} a^{-2} +6 z^{10} a^{-4} +7 z^{10}+12 a z^9+18 z^9 a^{-1} +13 z^9 a^{-3} +7 z^9 a^{-5} +13 a^2 z^8-22 z^8 a^{-2} -10 z^8 a^{-4} +4 z^8 a^{-6} +5 z^8+9 a^3 z^7-13 a z^7-49 z^7 a^{-1} -50 z^7 a^{-3} -22 z^7 a^{-5} +z^7 a^{-7} +4 a^4 z^6-20 a^2 z^6+z^6 a^{-2} -6 z^6 a^{-4} -13 z^6 a^{-6} -30 z^6+a^5 z^5-12 a^3 z^5+a z^5+44 z^5 a^{-1} +55 z^5 a^{-3} +22 z^5 a^{-5} -3 z^5 a^{-7} -4 a^4 z^4+15 a^2 z^4+9 z^4 a^{-2} +13 z^4 a^{-4} +12 z^4 a^{-6} +27 z^4-a^5 z^3+7 a^3 z^3+2 a z^3-22 z^3 a^{-1} -27 z^3 a^{-3} -9 z^3 a^{-5} +2 z^3 a^{-7} +a^4 z^2-6 a^2 z^2-5 z^2 a^{-2} -3 z^2 a^{-4} -3 z^2 a^{-6} -12 z^2-a^3 z+4 z a^{-1} +5 z a^{-3} +2 z a^{-5} +a^2+ a^{-2} +3 }[/math]

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