K13n1202

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1202/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-6 t^3+17 t^2-30 t+37-30 t^{-1} +17 t^{-2} -6 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13n1202/Conway Polynomial
Determinant	145
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+10 z^4 a^{-2} -3 z^4 a^{-4} -7 z^4+2 a^2 z^2+9 z^2 a^{-2} -3 z^2 a^{-4} -8 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +6 z^{10} a^{-4} +5 z^{10}+4 a z^9+5 z^9 a^{-1} +8 z^9 a^{-3} +7 z^9 a^{-5} +a^2 z^8-34 z^8 a^{-2} -14 z^8 a^{-4} +4 z^8 a^{-6} -15 z^8-11 a z^7-32 z^7 a^{-1} -45 z^7 a^{-3} -23 z^7 a^{-5} +z^7 a^{-7} +3 a^2 z^6+34 z^6 a^{-2} -13 z^6 a^{-6} +24 z^6+4 a^3 z^5+22 a z^5+49 z^5 a^{-1} +55 z^5 a^{-3} +21 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4-3 a^2 z^4-17 z^4 a^{-2} +6 z^4 a^{-4} +11 z^4 a^{-6} -16 z^4-5 a^3 z^3-15 a z^3-26 z^3 a^{-1} -28 z^3 a^{-3} -10 z^3 a^{-5} +2 z^3 a^{-7} -a^4 z^2+a^2 z^2+9 z^2 a^{-2} -z^2 a^{-4} -3 z^2 a^{-6} +9 z^2+a^3 z+3 a z+5 z a^{-1} +5 z a^{-3} +2 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math]

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