K13a1090

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1090/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -6 t^3+28 t^2-62 t+81-62 t^{-1} +28 t^{-2} -6 t^{-3} }[/math]
Conway polynomial	Data:K13a1090/Conway Polynomial
Determinant	273
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -a^2 z^6-2 z^6 a^{-2} -3 z^6+a^4 z^4-a^2 z^4-3 z^4 a^{-2} +3 z^4 a^{-4} -8 z^4+2 a^4 z^2-z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} -9 z^2+a^4+a^2+3 a^{-4} - a^{-6} -3 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12}+7 a z^{11}+13 z^{11} a^{-1} +6 z^{11} a^{-3} +10 a^2 z^{10}+13 z^{10} a^{-2} +8 z^{10} a^{-4} +15 z^{10}+9 a^3 z^9-10 a z^9-30 z^9 a^{-1} -4 z^9 a^{-3} +7 z^9 a^{-5} +6 a^4 z^8-26 a^2 z^8-46 z^8 a^{-2} -13 z^8 a^{-4} +4 z^8 a^{-6} -61 z^8+3 a^5 z^7-23 a^3 z^7-a z^7+29 z^7 a^{-1} -13 z^7 a^{-3} -16 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-14 a^4 z^6+34 a^2 z^6+55 z^6 a^{-2} -8 z^6 a^{-4} -12 z^6 a^{-6} +100 z^6-7 a^5 z^5+27 a^3 z^5+19 a z^5-18 z^5 a^{-1} +5 z^5 a^{-3} +5 z^5 a^{-5} -3 z^5 a^{-7} -3 a^6 z^4+11 a^4 z^4-18 a^2 z^4-37 z^4 a^{-2} +18 z^4 a^{-4} +12 z^4 a^{-6} -75 z^4+3 a^5 z^3-16 a^3 z^3-7 a z^3+13 z^3 a^{-1} +3 z^3 a^{-3} +5 z^3 a^{-5} +3 z^3 a^{-7} +2 a^6 z^2-6 a^4 z^2+4 a^2 z^2+9 z^2 a^{-2} -13 z^2 a^{-4} -5 z^2 a^{-6} +29 z^2+2 a^3 z-a z-4 z a^{-1} -2 z a^{-3} -2 z a^{-5} -z a^{-7} +a^4-a^2+3 a^{-4} + a^{-6} -3 }[/math]

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