K13n2811

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2811/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^5+5 t^4-11 t^3+16 t^2-17 t+17-17 t^{-1} +16 t^{-2} -11 t^{-3} +5 t^{-4} - t^{-5} }[/math]
Conway polynomial	Data:K13n2811/Conway Polynomial
Determinant	117
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ -z^{10} a^{-4} +z^8 a^{-2} -7 z^8 a^{-4} +z^8 a^{-6} +5 z^6 a^{-2} -17 z^6 a^{-4} +6 z^6 a^{-6} +7 z^4 a^{-2} -16 z^4 a^{-4} +10 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} +2 z^2 a^{-6} -z^2 a^{-8} - a^{-2} +6 a^{-4} -5 a^{-6} + a^{-8} }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 z^{11} a^{-3} +3 z^{11} a^{-5} +6 z^{10} a^{-2} +14 z^{10} a^{-4} +8 z^{10} a^{-6} +4 z^9 a^{-1} -3 z^9 a^{-3} +z^9 a^{-5} +8 z^9 a^{-7} -27 z^8 a^{-2} -62 z^8 a^{-4} -31 z^8 a^{-6} +3 z^8 a^{-8} +z^8-18 z^7 a^{-1} -28 z^7 a^{-3} -43 z^7 a^{-5} -33 z^7 a^{-7} +38 z^6 a^{-2} +83 z^6 a^{-4} +31 z^6 a^{-6} -10 z^6 a^{-8} -4 z^6+24 z^5 a^{-1} +48 z^5 a^{-3} +61 z^5 a^{-5} +38 z^5 a^{-7} +z^5 a^{-9} -24 z^4 a^{-2} -46 z^4 a^{-4} -7 z^4 a^{-6} +11 z^4 a^{-8} +4 z^4-10 z^3 a^{-1} -22 z^3 a^{-3} -17 z^3 a^{-5} -4 z^3 a^{-7} +z^3 a^{-9} +5 z^2 a^{-2} +4 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} -z a^{-3} -7 z a^{-5} -8 z a^{-7} -2 z a^{-9} + a^{-2} +6 a^{-4} +5 a^{-6} + a^{-8} }[/math]

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