K13n1335

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1335/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^4+6 t^3-12 t^2+7 t+1+7 t^{-1} -12 t^{-2} +6 t^{-3} - t^{-4} }[/math]
Conway polynomial	Data:K13n1335/Conway Polynomial
Determinant	51
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-8 z^4 a^{-2} +6 z^4 a^{-4} +7 z^4-2 a^2 z^2-9 z^2 a^{-2} +8 z^2 a^{-4} -4 z^2 a^{-6} +4 z^2+a^2-4 a^{-2} +5 a^{-4} -3 a^{-6} + a^{-8} +1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-3} +z^{11} a^{-5} +3 z^{10} a^{-2} +4 z^{10} a^{-4} +3 z^{10} a^{-6} +2 z^{10}+5 a z^9+9 z^9 a^{-1} -z^9 a^{-3} -2 z^9 a^{-5} +3 z^9 a^{-7} +4 a^2 z^8-11 z^8 a^{-2} -27 z^8 a^{-4} -17 z^8 a^{-6} +z^8 a^{-8} +2 z^8+a^3 z^7-17 a z^7-38 z^7 a^{-1} -27 z^7 a^{-3} -24 z^7 a^{-5} -17 z^7 a^{-7} -15 a^2 z^6-2 z^6 a^{-2} +36 z^6 a^{-4} +17 z^6 a^{-6} -5 z^6 a^{-8} -31 z^6-3 a^3 z^5+12 a z^5+45 z^5 a^{-1} +68 z^5 a^{-3} +62 z^5 a^{-5} +24 z^5 a^{-7} +15 a^2 z^4+26 z^4 a^{-2} +9 z^4 a^{-4} +9 z^4 a^{-6} +6 z^4 a^{-8} +35 z^4+2 a^3 z^3-4 a z^3-29 z^3 a^{-1} -50 z^3 a^{-3} -40 z^3 a^{-5} -13 z^3 a^{-7} -4 a^2 z^2-22 z^2 a^{-2} -22 z^2 a^{-4} -13 z^2 a^{-6} -4 z^2 a^{-8} -13 z^2+2 a z+9 z a^{-1} +12 z a^{-3} +8 z a^{-5} +3 z a^{-7} -a^2+4 a^{-2} +5 a^{-4} +3 a^{-6} + a^{-8} +1 }[/math]

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