K13a4168

Dowker-Thistlethwaite code

6 12 20 18 22 4 24 10 26 2 16 14 8

Jones polynomial	Data:K13a4168/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-12 t^3+52 t^2-117 t+153-117 t^{-1} +52 t^{-2} -12 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13a4168/Conway Polynomial
Determinant	517
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8-2 a^2 z^6-3 z^6 a^{-2} +z^6+a^4 z^4-a^2 z^4-3 z^4 a^{-2} +3 z^4 a^{-4} +a^2 z^2+2 z^2 a^{-4} -z^2 a^{-6} -3 z^2+a^2+ a^{-2} -1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 6 z^{12} a^{-2} +6 z^{12}+23 a z^{11}+39 z^{11} a^{-1} +16 z^{11} a^{-3} +37 a^2 z^{10}+40 z^{10} a^{-2} +18 z^{10} a^{-4} +59 z^{10}+33 a^3 z^9+6 a z^9-48 z^9 a^{-1} -9 z^9 a^{-3} +12 z^9 a^{-5} +18 a^4 z^8-55 a^2 z^8-120 z^8 a^{-2} -34 z^8 a^{-4} +5 z^8 a^{-6} -154 z^8+6 a^5 z^7-52 a^3 z^7-86 a z^7-40 z^7 a^{-1} -39 z^7 a^{-3} -26 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-20 a^4 z^6+19 a^2 z^6+107 z^6 a^{-2} +20 z^6 a^{-4} -11 z^6 a^{-6} +116 z^6-3 a^5 z^5+29 a^3 z^5+73 a z^5+74 z^5 a^{-1} +56 z^5 a^{-3} +21 z^5 a^{-5} -2 z^5 a^{-7} +7 a^4 z^4-3 a^2 z^4-38 z^4 a^{-2} -z^4 a^{-4} +8 z^4 a^{-6} -39 z^4-8 a^3 z^3-23 a z^3-33 z^3 a^{-1} -27 z^3 a^{-3} -8 z^3 a^{-5} +z^3 a^{-7} -a^4 z^2+2 a^2 z^2+6 z^2 a^{-2} -2 z^2 a^{-4} -2 z^2 a^{-6} +9 z^2+a^3 z+3 a z+5 z a^{-1} +4 z a^{-3} +z a^{-5} -a^2- a^{-2} -1 }[/math]

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