K12n754

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -2 q^5+5 q^4-9 q^3+14 q^2-16 q+18-16 q^{-1} +12 q^{-2} -8 q^{-3} +4 q^{-4} - q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ t^4-5 t^3+13 t^2-21 t+25-21 t^{-1} +13 t^{-2} -5 t^{-3} + t^{-4} }[/math]
Conway polynomial	[math]\displaystyle{ z^8+3 z^6+3 z^4+2 z^2+1 }[/math]
Determinant	105
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +5 z^6-3 a^2 z^4-2 z^4 a^{-2} +8 z^4-2 a^2 z^2+2 z^2 a^{-2} -z^2 a^{-4} +3 z^2+4 a^{-2} -2 a^{-4} -1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+6 a z^9+9 z^9 a^{-1} +3 z^9 a^{-3} +8 a^2 z^8-2 z^8 a^{-2} +z^8 a^{-4} +5 z^8+7 a^3 z^7-11 a z^7-27 z^7 a^{-1} -9 z^7 a^{-3} +4 a^4 z^6-16 a^2 z^6+2 z^6 a^{-4} -22 z^6+a^5 z^5-12 a^3 z^5+9 a z^5+37 z^5 a^{-1} +18 z^5 a^{-3} +3 z^5 a^{-5} -6 a^4 z^4+12 a^2 z^4+z^4 a^{-2} -9 z^4 a^{-4} +28 z^4-a^5 z^3+3 a^3 z^3-3 a z^3-21 z^3 a^{-1} -22 z^3 a^{-3} -8 z^3 a^{-5} -5 a^2 z^2+3 z^2 a^{-2} +5 z^2 a^{-4} -7 z^2+2 a z+6 z a^{-1} +8 z a^{-3} +4 z a^{-5} -4 a^{-2} -2 a^{-4} -1 }[/math]

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