K12a1179

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^6+3 q^5-5 q^4+8 q^3-10 q^2+12 q-13+12 q^{-1} -10 q^{-2} +8 q^{-3} -5 q^{-4} +3 q^{-5} - q^{-6} }[/math]
Alexander polynomial	[math]\displaystyle{ 3 t^3-12 t^2+20 t-21+20 t^{-1} -12 t^{-2} +3 t^{-3} }[/math]
Conway polynomial	[math]\displaystyle{ 3 z^6+6 z^4-z^2+1 }[/math]
Determinant	91
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ a^2 z^6+z^6 a^{-2} +z^6-a^4 z^4+3 a^2 z^4+3 z^4 a^{-2} -z^4 a^{-4} +2 z^4-2 a^4 z^2+2 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} -z^2+a^2+ a^{-2} -1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a^3 z^{11}+2 a z^{11}+3 a^4 z^{10}+9 a^2 z^{10}+6 z^{10}+a^5 z^9-7 a^3 z^9+8 z^9 a^{-1} -19 a^4 z^8-51 a^2 z^8+8 z^8 a^{-2} -24 z^8-6 a^5 z^7-7 a^3 z^7-37 a z^7-28 z^7 a^{-1} +8 z^7 a^{-3} +40 a^4 z^6+92 a^2 z^6-19 z^6 a^{-2} +7 z^6 a^{-4} +26 z^6+12 a^5 z^5+42 a^3 z^5+76 a z^5+26 z^5 a^{-1} -15 z^5 a^{-3} +5 z^5 a^{-5} -33 a^4 z^4-62 a^2 z^4+4 z^4 a^{-2} -9 z^4 a^{-4} +3 z^4 a^{-6} -13 z^4-10 a^5 z^3-38 a^3 z^3-47 a z^3-11 z^3 a^{-1} +4 z^3 a^{-3} -3 z^3 a^{-5} +z^3 a^{-7} +9 a^4 z^2+15 a^2 z^2+4 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} +7 z^2+3 a^5 z+9 a^3 z+8 a z+2 z a^{-1} -a^2- a^{-2} -1 }[/math]

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