K12n636

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+4 q^6-7 q^5+10 q^4-13 q^3+13 q^2-12 q+11-6 q^{-1} +3 q^{-2} - q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^3+7 t^2-19 t+27-19 t^{-1} +7 t^{-2} - t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -z^6+z^4+1 }[/math]
Determinant	81
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4-a^2 z^2-5 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +4 z^2-a^2-3 a^{-2} + a^{-4} +4 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +4 z^9 a^{-1} +9 z^9 a^{-3} +5 z^9 a^{-5} +z^8 a^{-4} +4 z^8 a^{-6} +3 z^8+a z^7-12 z^7 a^{-1} -32 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} -16 z^6 a^{-2} -23 z^6 a^{-4} -15 z^6 a^{-6} -8 z^6+13 z^5 a^{-1} +32 z^5 a^{-3} +16 z^5 a^{-5} -3 z^5 a^{-7} +3 a^2 z^4+21 z^4 a^{-2} +25 z^4 a^{-4} +14 z^4 a^{-6} +13 z^4+a^3 z^3+3 a z^3-3 z^3 a^{-1} -11 z^3 a^{-3} -4 z^3 a^{-5} +2 z^3 a^{-7} -3 a^2 z^2-10 z^2 a^{-2} -7 z^2 a^{-4} -2 z^2 a^{-6} -8 z^2-a^3 z-2 a z-2 z a^{-1} -2 z a^{-3} -z a^{-5} +a^2+3 a^{-2} + a^{-4} +4 }[/math]

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