K12n780

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^7+3 q^6-7 q^5+10 q^4-12 q^3+14 q^2-12 q+11-7 q^{-1} +3 q^{-2} - q^{-3} }[/math]
Alexander polynomial	[math]\displaystyle{ -t^3+8 t^2-19 t+25-19 t^{-1} +8 t^{-2} - t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -z^6+2 z^4+4 z^2+1 }[/math]
Determinant	81
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -2 z^4 a^{-2} +2 z^4 a^{-4} +2 z^4-a^2 z^2+3 z^2 a^{-4} -z^2 a^{-6} +3 z^2-a^2+2 a^{-2} - a^{-6} +1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +5 z^9 a^{-1} +9 z^9 a^{-3} +4 z^9 a^{-5} +z^8 a^{-2} +3 z^8 a^{-6} +4 z^8+a z^7-18 z^7 a^{-1} -33 z^7 a^{-3} -13 z^7 a^{-5} +z^7 a^{-7} -21 z^6 a^{-2} -19 z^6 a^{-4} -11 z^6 a^{-6} -13 z^6+a z^5+27 z^5 a^{-1} +39 z^5 a^{-3} +9 z^5 a^{-5} -4 z^5 a^{-7} +3 a^2 z^4+29 z^4 a^{-2} +22 z^4 a^{-4} +11 z^4 a^{-6} +21 z^4+a^3 z^3-19 z^3 a^{-1} -26 z^3 a^{-3} -3 z^3 a^{-5} +5 z^3 a^{-7} -3 a^2 z^2-11 z^2 a^{-2} -8 z^2 a^{-4} -4 z^2 a^{-6} -10 z^2-a^3 z+a z+7 z a^{-1} +9 z a^{-3} +2 z a^{-5} -2 z a^{-7} +a^2-2 a^{-2} + a^{-6} +1 }[/math]

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