K13n1341

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1341/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^4+2 t^3+3 t^2-10 t+13-10 t^{-1} +3 t^{-2} +2 t^{-3} - t^{-4} }[/math]
Conway polynomial	Data:K13n1341/Conway Polynomial
Determinant	33
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -7 z^6 a^{-6} +6 z^4 a^{-4} -15 z^4 a^{-6} +2 z^4 a^{-8} +2 z^4 a^{-10} +10 z^2 a^{-4} -13 z^2 a^{-6} +4 z^2 a^{-8} +4 z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} -5 a^{-6} +2 a^{-8} + a^{-10} - a^{-12} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +z^{10} a^{-8} +4 z^{10} a^{-10} +3 z^{10} a^{-12} +z^9 a^{-5} -6 z^9 a^{-9} -z^9 a^{-11} +4 z^9 a^{-13} +z^8 a^{-4} +2 z^8 a^{-6} -8 z^8 a^{-8} -25 z^8 a^{-10} -13 z^8 a^{-12} +3 z^8 a^{-14} -6 z^7 a^{-5} -z^7 a^{-7} +9 z^7 a^{-9} -15 z^7 a^{-11} -18 z^7 a^{-13} +z^7 a^{-15} -7 z^6 a^{-4} -15 z^6 a^{-6} +16 z^6 a^{-8} +48 z^6 a^{-10} +11 z^6 a^{-12} -13 z^6 a^{-14} +9 z^5 a^{-5} -2 z^5 a^{-7} -6 z^5 a^{-9} +27 z^5 a^{-11} +18 z^5 a^{-13} -4 z^5 a^{-15} +16 z^4 a^{-4} +30 z^4 a^{-6} -10 z^4 a^{-8} -38 z^4 a^{-10} -2 z^4 a^{-12} +12 z^4 a^{-14} -2 z^3 a^{-5} +6 z^3 a^{-7} +5 z^3 a^{-9} -10 z^3 a^{-11} -4 z^3 a^{-13} +3 z^3 a^{-15} -14 z^2 a^{-4} -21 z^2 a^{-6} -2 z^2 a^{-8} +11 z^2 a^{-10} +3 z^2 a^{-12} -3 z^2 a^{-14} -z a^{-5} -2 z a^{-7} -3 z a^{-9} -z a^{-11} -z a^{-15} +4 a^{-4} +5 a^{-6} +2 a^{-8} - a^{-10} - a^{-12} }[/math]

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