K12a109

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^5+3 q^4-7 q^3+13 q^2-18 q+22-23 q^{-1} +22 q^{-2} -17 q^{-3} +12 q^{-4} -7 q^{-5} +3 q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^3+14 t^2-35 t+47-35 t^{-1} +14 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^6+2 z^4+3 z^2+1 }[/math]
Determinant	149
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+a^4-z^6 a^2-z^4 a^2+a^2-z^6-z^4-z^2-1+2 z^4 a^{-2} +3 z^2 a^{-2} +2 a^{-2} -z^2 a^{-4} - a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+8 a^2 z^{10}+4 z^{10}+5 a^5 z^9+11 a^3 z^9+12 a z^9+6 z^9 a^{-1} +3 a^6 z^8-8 a^4 z^8-18 a^2 z^8+6 z^8 a^{-2} -z^8+a^7 z^7-18 a^5 z^7-51 a^3 z^7-44 a z^7-7 z^7 a^{-1} +5 z^7 a^{-3} -11 a^6 z^6-6 a^4 z^6+7 a^2 z^6-5 z^6 a^{-2} +3 z^6 a^{-4} -6 z^6-4 a^7 z^5+20 a^5 z^5+75 a^3 z^5+64 a z^5+6 z^5 a^{-1} -6 z^5 a^{-3} +z^5 a^{-5} +11 a^6 z^4+16 a^4 z^4+8 a^2 z^4-3 z^4 a^{-2} -5 z^4 a^{-4} +5 z^4+4 a^7 z^3-12 a^5 z^3-49 a^3 z^3-43 a z^3-7 z^3 a^{-1} +z^3 a^{-3} -2 z^3 a^{-5} -5 a^6 z^2-8 a^4 z^2-4 a^2 z^2+5 z^2 a^{-2} +3 z^2 a^{-4} +z^2-a^7 z+4 a^5 z+12 a^3 z+10 a z+3 z a^{-1} +z a^{-3} +z a^{-5} +a^6+a^4-a^2-2 a^{-2} - a^{-4} -1 }[/math]

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