K13n3079

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n3079/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 3 t^4-8 t^3+12 t^2-14 t+15-14 t^{-1} +12 t^{-2} -8 t^{-3} +3 t^{-4} }[/math]
Conway polynomial	Data:K13n3079/Conway Polynomial
Determinant	89
Signature	8
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-8} +2 z^8 a^{-10} +6 z^6 a^{-8} +12 z^6 a^{-10} -2 z^6 a^{-12} +12 z^4 a^{-8} +23 z^4 a^{-10} -11 z^4 a^{-12} +9 z^2 a^{-8} +17 z^2 a^{-10} -18 z^2 a^{-12} +2 z^2 a^{-14} +2 a^{-8} +5 a^{-10} -9 a^{-12} +3 a^{-14} }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +6 z^{10} a^{-12} +3 z^{10} a^{-14} +2 z^9 a^{-9} +3 z^9 a^{-11} +4 z^9 a^{-13} +3 z^9 a^{-15} +z^8 a^{-8} -14 z^8 a^{-10} -24 z^8 a^{-12} -8 z^8 a^{-14} +z^8 a^{-16} -9 z^7 a^{-9} -28 z^7 a^{-11} -27 z^7 a^{-13} -8 z^7 a^{-15} -6 z^6 a^{-8} +23 z^6 a^{-10} +35 z^6 a^{-12} +6 z^6 a^{-14} +11 z^5 a^{-9} +47 z^5 a^{-11} +42 z^5 a^{-13} +7 z^5 a^{-15} +z^5 a^{-17} +12 z^4 a^{-8} -23 z^4 a^{-10} -42 z^4 a^{-12} -7 z^4 a^{-14} -2 z^3 a^{-9} -34 z^3 a^{-11} -37 z^3 a^{-13} -z^3 a^{-15} +4 z^3 a^{-17} -9 z^2 a^{-8} +17 z^2 a^{-10} +32 z^2 a^{-12} +6 z^2 a^{-14} +2 z^2 a^{-16} +2 z^2 a^{-18} -z a^{-9} +11 z a^{-11} +13 z a^{-13} -z a^{-15} -2 z a^{-17} +2 a^{-8} -5 a^{-10} -9 a^{-12} -3 a^{-14} }[/math]

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