K12n367

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -2 q^5+6 q^4-11 q^3+17 q^2-20 q+21-19 q^{-1} +15 q^{-2} -9 q^{-3} +4 q^{-4} - q^{-5} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^3+10 t^2-30 t+43-30 t^{-1} +10 t^{-2} - t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -z^6+4 z^4+z^2+1 }[/math]
Determinant	125
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6+2 a^2 z^4+3 z^4 a^{-2} -z^4-a^4 z^2+a^2 z^2+4 z^2 a^{-2} -2 z^2 a^{-4} -z^2+2 a^{-2} - a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{10} a^{-2} +z^{10}+5 a z^9+7 z^9 a^{-1} +2 z^9 a^{-3} +9 a^2 z^8+8 z^8 a^{-2} +z^8 a^{-4} +16 z^8+8 a^3 z^7+7 a z^7+2 z^7 a^{-1} +3 z^7 a^{-3} +4 a^4 z^6-11 a^2 z^6-13 z^6 a^{-2} +4 z^6 a^{-4} -32 z^6+a^5 z^5-12 a^3 z^5-28 a z^5-27 z^5 a^{-1} -9 z^5 a^{-3} +3 z^5 a^{-5} -5 a^4 z^4+3 a^2 z^4-10 z^4 a^{-4} +18 z^4-a^5 z^3+7 a^3 z^3+22 a z^3+24 z^3 a^{-1} +5 z^3 a^{-3} -5 z^3 a^{-5} +2 a^4 z^2-a^2 z^2+6 z^2 a^{-2} +6 z^2 a^{-4} -3 z^2-2 a^3 z-6 a z-6 z a^{-1} -z a^{-3} +z a^{-5} -2 a^{-2} - a^{-4} }[/math]

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