K12n481

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^6-3 q^5+6 q^4-8 q^3+10 q^2-11 q+10-8 q^{-1} +5 q^{-2} -2 q^{-3} + q^{-4} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^3+5 t^2-15 t+23-15 t^{-1} +5 t^{-2} - t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -z^6-z^4-4 z^2+1 }[/math]
Determinant	65
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +z^4 a^{-4} +2 z^4-2 a^2 z^2-7 z^2 a^{-2} +2 z^2 a^{-4} +3 z^2+a^4-a^2-3 a^{-2} +2 a^{-4} +2 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +3 z^8 a^{-2} +5 z^8 a^{-4} -2 z^8-3 a z^7-20 z^7 a^{-1} -14 z^7 a^{-3} +3 z^7 a^{-5} +3 a^2 z^6-21 z^6 a^{-2} -18 z^6 a^{-4} +z^6 a^{-6} +z^6+2 a^3 z^5+9 a z^5+32 z^5 a^{-1} +16 z^5 a^{-3} -9 z^5 a^{-5} +a^4 z^4-3 a^2 z^4+32 z^4 a^{-2} +18 z^4 a^{-4} -3 z^4 a^{-6} +7 z^4-3 a^3 z^3-7 a z^3-18 z^3 a^{-1} -10 z^3 a^{-3} +4 z^3 a^{-5} -2 a^4 z^2-a^2 z^2-17 z^2 a^{-2} -9 z^2 a^{-4} +z^2 a^{-6} -6 z^2+a^3 z+a z+3 z a^{-1} +3 z a^{-3} +a^4+a^2+3 a^{-2} +2 a^{-4} +2 }[/math]

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