K13a4687

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a4687/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 2 t^4-14 t^3+42 t^2-76 t+93-76 t^{-1} +42 t^{-2} -14 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	Data:K13a4687/Conway Polynomial
Determinant	361
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+2 z^6 a^{-2} -2 z^6 a^{-4} +3 z^6-2 a^2 z^4-4 z^4 a^{-4} +z^4 a^{-6} +3 z^4-2 z^2 a^{-2} -z^2 a^{-4} +z^2 a^{-6} +a^2- a^{-2} + a^{-4} }[/math]
Kauffman polynomial	[math]\displaystyle{ 5 z^{12} a^{-2} +5 z^{12} a^{-4} +15 z^{11} a^{-1} +27 z^{11} a^{-3} +12 z^{11} a^{-5} +22 z^{10} a^{-2} +10 z^{10} a^{-4} +11 z^{10} a^{-6} +23 z^{10}+25 a z^9-11 z^9 a^{-1} -78 z^9 a^{-3} -37 z^9 a^{-5} +5 z^9 a^{-7} +20 a^2 z^8-87 z^8 a^{-2} -75 z^8 a^{-4} -40 z^8 a^{-6} +z^8 a^{-8} -33 z^8+12 a^3 z^7-38 a z^7-31 z^7 a^{-1} +68 z^7 a^{-3} +32 z^7 a^{-5} -17 z^7 a^{-7} +5 a^4 z^6-25 a^2 z^6+75 z^6 a^{-2} +96 z^6 a^{-4} +46 z^6 a^{-6} -3 z^6 a^{-8} -2 z^6+a^5 z^5-11 a^3 z^5+14 a z^5+26 z^5 a^{-1} -26 z^5 a^{-3} -10 z^5 a^{-5} +16 z^5 a^{-7} -3 a^4 z^4+8 a^2 z^4-16 z^4 a^{-2} -43 z^4 a^{-4} -20 z^4 a^{-6} +2 z^4 a^{-8} +16 z^4+2 a^3 z^3+3 a z^3+5 z^3 a^{-3} +3 z^3 a^{-5} -3 z^3 a^{-7} +a^2 z^2-4 z^2 a^{-2} +3 z^2 a^{-4} +4 z^2 a^{-6} -2 z^2-a z-z a^{-1} -z a^{-3} -z a^{-5} -a^2+ a^{-2} + a^{-4} }[/math]

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