K12n880

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ q^6-4 q^5+9 q^4-15 q^3+20 q^2-22 q+22-18 q^{-1} +13 q^{-2} -7 q^{-3} +2 q^{-4} }[/math]
Alexander polynomial	[math]\displaystyle{ -3 t^3+14 t^2-30 t+39-30 t^{-1} +14 t^{-2} -3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -3 z^6-4 z^4-z^2+1 }[/math]
Determinant	133
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -2 z^6+2 a^2 z^4-z^4 a^{-2} +z^4 a^{-4} -6 z^4+3 a^2 z^2+z^2 a^{-2} +z^2 a^{-4} -6 z^2+a^2+ a^{-2} -1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 z^{10} a^{-2} +3 z^{10}+6 a z^9+14 z^9 a^{-1} +8 z^9 a^{-3} +4 a^2 z^8+7 z^8 a^{-2} +8 z^8 a^{-4} +3 z^8+a^3 z^7-10 a z^7-33 z^7 a^{-1} -18 z^7 a^{-3} +4 z^7 a^{-5} +a^2 z^6-29 z^6 a^{-2} -21 z^6 a^{-4} +z^6 a^{-6} -6 z^6+7 a^3 z^5+19 a z^5+34 z^5 a^{-1} +13 z^5 a^{-3} -9 z^5 a^{-5} +3 a^4 z^4-4 a^2 z^4+23 z^4 a^{-2} +17 z^4 a^{-4} -2 z^4 a^{-6} -3 z^4-8 a^3 z^3-19 a z^3-21 z^3 a^{-1} -6 z^3 a^{-3} +4 z^3 a^{-5} -2 a^4 z^2+2 a^2 z^2-4 z^2 a^{-2} -5 z^2 a^{-4} +5 z^2+2 a^3 z+5 a z+5 z a^{-1} +2 z a^{-3} -a^2- a^{-2} -1 }[/math]

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