K12n841

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ 2 q^2-6 q+10-12 q^{-1} +14 q^{-2} -13 q^{-3} +11 q^{-4} -8 q^{-5} +4 q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ -2 t^3+9 t^2-18 t+23-18 t^{-1} +9 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ -2 z^6-3 z^4+1 }[/math]
Determinant	81
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6-a^6+3 z^4 a^4+7 z^2 a^4+3 a^4-2 z^6 a^2-8 z^4 a^2-10 z^2 a^2-3 a^2+2 z^4+4 z^2+2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+5 a^5 z^9+9 a^3 z^9+4 a z^9+4 a^6 z^8+3 a^4 z^8+a^2 z^8+2 z^8+a^7 z^7-15 a^5 z^7-29 a^3 z^7-13 a z^7-14 a^6 z^6-31 a^4 z^6-23 a^2 z^6-6 z^6-3 a^7 z^5+5 a^5 z^5+20 a^3 z^5+13 a z^5+z^5 a^{-1} +13 a^6 z^4+36 a^4 z^4+35 a^2 z^4+12 z^4+3 a^7 z^3+6 a^5 z^3+3 z^3 a^{-1} -4 a^6 z^2-16 a^4 z^2-20 a^2 z^2+z^2 a^{-2} -7 z^2-a^7 z-2 a^5 z-2 a^3 z-2 a z-z a^{-1} +a^6+3 a^4+3 a^2+2 }[/math]

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