K12a1139

Dowker-Thistlethwaite code

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

Jones polynomial	[math]\displaystyle{ -q^5+3 q^4-5 q^3+9 q^2-12 q+14-15 q^{-1} +14 q^{-2} -11 q^{-3} +8 q^{-4} -5 q^{-5} +3 q^{-6} - q^{-7} }[/math]
Alexander polynomial	[math]\displaystyle{ 6 t^2-25 t+39-25 t^{-1} +6 t^{-2} }[/math]
Conway polynomial	[math]\displaystyle{ 6 z^4-z^2+1 }[/math]
Determinant	101
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^2 a^6+z^4 a^4+2 z^4 a^2+z^2 a^2+a^2+2 z^4-1+z^4 a^{-2} + a^{-2} -z^2 a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+6 a^2 z^{10}+3 z^{10}+4 a^5 z^9+3 a^3 z^9+3 a z^9+4 z^9 a^{-1} +3 a^6 z^8-10 a^4 z^8-26 a^2 z^8+4 z^8 a^{-2} -9 z^8+a^7 z^7-17 a^5 z^7-27 a^3 z^7-24 a z^7-11 z^7 a^{-1} +4 z^7 a^{-3} -13 a^6 z^6+6 a^4 z^6+43 a^2 z^6-7 z^6 a^{-2} +3 z^6 a^{-4} +14 z^6-4 a^7 z^5+20 a^5 z^5+49 a^3 z^5+50 a z^5+16 z^5 a^{-1} -8 z^5 a^{-3} +z^5 a^{-5} +14 a^6 z^4+a^4 z^4-30 a^2 z^4+2 z^4 a^{-2} -7 z^4 a^{-4} -8 z^4+3 a^7 z^3-10 a^5 z^3-36 a^3 z^3-37 a z^3-9 z^3 a^{-1} +3 z^3 a^{-3} -2 z^3 a^{-5} -4 a^6 z^2-a^4 z^2+7 a^2 z^2+3 z^2 a^{-2} +3 z^2 a^{-4} +4 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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