K12a636

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^3+3 q^2-5 q+8-11 q^{-1} +13 q^{-2} -13 q^{-3} +13 q^{-4} -10 q^{-5} +8 q^{-6} -5 q^{-7} +2 q^{-8} - q^{-9} }[/math]
Alexander polynomial	[math]\displaystyle{ 7 t^2-23 t+33-23 t^{-1} +7 t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ 7 z^4+5 z^2+1 }[/math]
Determinant	93
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^8-a^8+z^4 a^6-a^6+3 z^4 a^4+6 z^2 a^4+4 a^4+2 z^4 a^2+z^2 a^2-a^2+z^4-z^2 a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+6 a^6 z^{10}+4 a^4 z^{10}+a^9 z^9+7 a^5 z^9+8 a^3 z^9-12 a^8 z^8-27 a^6 z^8-5 a^4 z^8+10 a^2 z^8-7 a^9 z^7-23 a^7 z^7-49 a^5 z^7-24 a^3 z^7+9 a z^7+24 a^8 z^6+28 a^6 z^6-32 a^4 z^6-29 a^2 z^6+7 z^6+18 a^9 z^5+59 a^7 z^5+75 a^5 z^5+11 a^3 z^5-18 a z^5+5 z^5 a^{-1} -18 a^8 z^4+8 a^6 z^4+59 a^4 z^4+22 a^2 z^4+3 z^4 a^{-2} -8 z^4-20 a^9 z^3-50 a^7 z^3-36 a^5 z^3+4 a^3 z^3+6 a z^3-3 z^3 a^{-1} +z^3 a^{-3} +4 a^8 z^2-14 a^6 z^2-28 a^4 z^2-9 a^2 z^2-z^2 a^{-2} +8 a^9 z+13 a^7 z+6 a^5 z-a z-a^8+a^6+4 a^4+a^2 }[/math]

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