K13n2605

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2605/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-3 t^3+6 t^2-8 t+9-8 t^{-1} +6 t^{-2} -3 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13n2605/Conway Polynomial
Determinant	45
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6 a^{-4} -z^6+18 z^4 a^{-2} -5 z^4 a^{-4} -5 z^4+21 z^2 a^{-2} -8 z^2 a^{-4} -8 z^2+10 a^{-2} -5 a^{-4} -4 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +5 z^{10} a^{-2} +3 z^{10} a^{-4} +2 z^{10}+a z^9-2 z^9 a^{-1} +3 z^9 a^{-5} -30 z^8 a^{-2} -16 z^8 a^{-4} +z^8 a^{-6} -13 z^8-7 a z^7-15 z^7 a^{-1} -24 z^7 a^{-3} -16 z^7 a^{-5} +58 z^6 a^{-2} +27 z^6 a^{-4} -3 z^6 a^{-6} +28 z^6+17 a z^5+49 z^5 a^{-1} +58 z^5 a^{-3} +27 z^5 a^{-5} +z^5 a^{-7} -50 z^4 a^{-2} -26 z^4 a^{-4} -z^4 a^{-6} -25 z^4-17 a z^3-47 z^3 a^{-1} -51 z^3 a^{-3} -24 z^3 a^{-5} -3 z^3 a^{-7} +28 z^2 a^{-2} +16 z^2 a^{-4} +z^2 a^{-6} +z^2 a^{-8} +12 z^2+6 a z+16 z a^{-1} +18 z a^{-3} +8 z a^{-5} +z a^{-7} +z a^{-9} -10 a^{-2} -5 a^{-4} -4 }[/math]

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