K13n4056

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n4056/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^4+2 t^3+t^2-8 t+13-8 t^{-1} + t^{-2} +2 t^{-3} - t^{-4} }[/math]
Conway polynomial	Data:K13n4056/Conway Polynomial
Determinant	25
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8+a^2 z^6-7 z^6+5 a^2 z^4+2 z^4 a^{-2} +z^4 a^{-4} -15 z^4+6 a^2 z^2+4 z^2 a^{-2} +z^2 a^{-4} -13 z^2+2 a^2+2 a^{-2} -3 }[/math]
Kauffman polynomial	[math]\displaystyle{ a z^{11}+z^{11} a^{-1} +2 a^2 z^{10}+z^{10} a^{-2} +3 z^{10}+2 a^3 z^9-6 a z^9-7 z^9 a^{-1} +z^9 a^{-3} +a^4 z^8-14 a^2 z^8-6 z^8 a^{-2} +3 z^8 a^{-4} -24 z^8-13 a^3 z^7+5 a z^7+15 z^7 a^{-1} +3 z^7 a^{-5} -6 a^4 z^6+28 a^2 z^6+16 z^6 a^{-2} -9 z^6 a^{-4} +z^6 a^{-6} +60 z^6+23 a^3 z^5+11 a z^5-11 z^5 a^{-1} -9 z^5 a^{-3} -10 z^5 a^{-5} +9 a^4 z^4-22 a^2 z^4-23 z^4 a^{-2} +3 z^4 a^{-4} -3 z^4 a^{-6} -60 z^4-13 a^3 z^3-12 a z^3+z^3 a^{-1} +7 z^3 a^{-3} +7 z^3 a^{-5} -3 a^4 z^2+10 a^2 z^2+12 z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} +26 z^2+2 a^3 z+3 a z+z a^{-1} -z a^{-3} -z a^{-5} -2 a^2-2 a^{-2} -3 }[/math]

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