K12n828

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^6-3 q^5+7 q^4-12 q^3+16 q^2-18 q+18-15 q^{-1} +11 q^{-2} -6 q^{-3} +2 q^{-4} }[/math]
Alexander polynomial	[math]\displaystyle{ -3 t^3+12 t^2-24 t+31-24 t^{-1} +12 t^{-2} -3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -3 z^6-6 z^4-3 z^2+1 }[/math]
Determinant	109
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -2 z^6+2 a^2 z^4-2 z^4 a^{-2} +z^4 a^{-4} -7 z^4+4 a^2 z^2-z^2 a^{-2} +2 z^2 a^{-4} -8 z^2+2 a^2+ a^{-4} -2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+4 a z^9+9 z^9 a^{-1} +5 z^9 a^{-3} +3 a^2 z^8+3 z^8 a^{-2} +5 z^8 a^{-4} +z^8+a^3 z^7-6 a z^7-22 z^7 a^{-1} -12 z^7 a^{-3} +3 z^7 a^{-5} +a^2 z^6-12 z^6 a^{-2} -13 z^6 a^{-4} +z^6 a^{-6} +3 z^6+5 a^3 z^5+13 a z^5+30 z^5 a^{-1} +14 z^5 a^{-3} -8 z^5 a^{-5} +3 a^4 z^4-5 a^2 z^4+9 z^4 a^{-2} +11 z^4 a^{-4} -3 z^4 a^{-6} -13 z^4-7 a^3 z^3-14 a z^3-25 z^3 a^{-1} -13 z^3 a^{-3} +5 z^3 a^{-5} -3 a^4 z^2+5 a^2 z^2-4 z^2 a^{-2} -5 z^2 a^{-4} +2 z^2 a^{-6} +11 z^2+2 a^3 z+5 a z+7 z a^{-1} +4 z a^{-3} -2 a^2+ a^{-4} -2 }[/math]

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