K13a4630

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a4630/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^5+6 t^4-17 t^3+35 t^2-54 t+63-54 t^{-1} +35 t^{-2} -17 t^{-3} +6 t^{-4} - t^{-5} }[/math]
Conway polynomial	Data:K13a4630/Conway Polynomial
Determinant	289
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^{10}+2 a^2 z^8+z^8 a^{-2} -7 z^8-a^4 z^6+11 a^2 z^6+5 z^6 a^{-2} -19 z^6-4 a^4 z^4+22 a^2 z^4+8 z^4 a^{-2} -23 z^4-6 a^4 z^2+18 a^2 z^2+3 z^2 a^{-2} -11 z^2-3 a^4+5 a^2- a^{-2} }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 a^2 z^{12}+3 z^{12}+8 a^3 z^{11}+18 a z^{11}+10 z^{11} a^{-1} +10 a^4 z^{10}+13 a^2 z^{10}+14 z^{10} a^{-2} +17 z^{10}+8 a^5 z^9-12 a^3 z^9-53 a z^9-21 z^9 a^{-1} +12 z^9 a^{-3} +4 a^6 z^8-24 a^4 z^8-68 a^2 z^8-43 z^8 a^{-2} +8 z^8 a^{-4} -91 z^8+a^7 z^7-21 a^5 z^7-12 a^3 z^7+49 a z^7+4 z^7 a^{-1} -31 z^7 a^{-3} +4 z^7 a^{-5} -11 a^6 z^6+14 a^4 z^6+107 a^2 z^6+59 z^6 a^{-2} -18 z^6 a^{-4} +z^6 a^{-6} +160 z^6-3 a^7 z^5+14 a^5 z^5+27 a^3 z^5+9 a z^5+35 z^5 a^{-1} +27 z^5 a^{-3} -9 z^5 a^{-5} +8 a^6 z^4-11 a^4 z^4-81 a^2 z^4-37 z^4 a^{-2} +8 z^4 a^{-4} -2 z^4 a^{-6} -109 z^4+3 a^7 z^3-7 a^5 z^3-23 a^3 z^3-25 a z^3-23 z^3 a^{-1} -8 z^3 a^{-3} +3 z^3 a^{-5} -2 a^6 z^2+9 a^4 z^2+30 a^2 z^2+9 z^2 a^{-2} +28 z^2-a^7 z+3 a^5 z+8 a^3 z+6 a z+z a^{-1} -z a^{-3} -3 a^4-5 a^2+ a^{-2} }[/math]

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