K12a1138

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^6+3 q^5-5 q^4+8 q^3-10 q^2+11 q-11+10 q^{-1} -8 q^{-2} +6 q^{-3} -3 q^{-4} +2 q^{-5} - q^{-6} }[/math]
Alexander polynomial	[math]\displaystyle{ 3 t^3-11 t^2+17 t-17+17 t^{-1} -11 t^{-2} +3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 3 z^6+7 z^4+1 }[/math]
Determinant	79
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ a^2 z^6+z^6 a^{-2} +z^6-a^4 z^4+4 a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +2 z^4-3 a^4 z^2+5 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} -2 z^2-a^4+3 a^2+ a^{-2} -2 }[/math]
Kauffman polynomial	[math]\displaystyle{ a^3 z^{11}+a z^{11}+2 a^4 z^{10}+5 a^2 z^{10}+3 z^{10}+a^5 z^9-3 a^3 z^9+a z^9+5 z^9 a^{-1} -14 a^4 z^8-29 a^2 z^8+7 z^8 a^{-2} -8 z^8-7 a^5 z^7-7 a^3 z^7-20 a z^7-12 z^7 a^{-1} +8 z^7 a^{-3} +34 a^4 z^6+58 a^2 z^6-16 z^6 a^{-2} +7 z^6 a^{-4} +z^6+16 a^5 z^5+30 a^3 z^5+34 a z^5-z^5 a^{-1} -16 z^5 a^{-3} +5 z^5 a^{-5} -34 a^4 z^4-51 a^2 z^4+4 z^4 a^{-2} -9 z^4 a^{-4} +3 z^4 a^{-6} -z^4-13 a^5 z^3-27 a^3 z^3-17 a z^3+8 z^3 a^{-1} +7 z^3 a^{-3} -3 z^3 a^{-5} +z^3 a^{-7} +13 a^4 z^2+21 a^2 z^2+3 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} +8 z^2+3 a^5 z+6 a^3 z+2 a z-2 z a^{-1} -z a^{-3} -a^4-3 a^2- a^{-2} -2 }[/math]

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