K12n342

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+2 q^6-4 q^5+6 q^4-7 q^3+9 q^2-8 q+7-5 q^{-1} +3 q^{-2} - q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ 4 t^2-13 t+19-13 t^{-1} +4 t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ 4 z^4+3 z^2+1 }[/math]
Determinant	53
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ 2 z^4 a^{-2} +z^4 a^{-4} +z^4-a^2 z^2+4 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} +3 a^{-2} - a^{-6} -1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +4 z^9 a^{-3} +2 z^9 a^{-5} -2 z^8 a^{-2} -z^8 a^{-4} +2 z^8 a^{-6} +z^8-8 z^7 a^{-1} -16 z^7 a^{-3} -7 z^7 a^{-5} +z^7 a^{-7} +2 z^6 a^{-2} -7 z^6 a^{-4} -9 z^6 a^{-6} +5 a z^5+18 z^5 a^{-1} +21 z^5 a^{-3} +3 z^5 a^{-5} -5 z^5 a^{-7} +3 a^2 z^4-6 z^4 a^{-2} +8 z^4 a^{-4} +11 z^4 a^{-6} +a^3 z^3-6 a z^3-18 z^3 a^{-1} -14 z^3 a^{-3} +4 z^3 a^{-5} +7 z^3 a^{-7} -2 a^2 z^2+7 z^2 a^{-2} -z^2 a^{-4} -5 z^2 a^{-6} +z^2+2 a z+5 z a^{-1} +4 z a^{-3} -2 z a^{-5} -3 z a^{-7} -3 a^{-2} + a^{-6} -1 }[/math]

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