K13a3509

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3509/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^5+6 t^4-20 t^3+45 t^2-72 t+85-72 t^{-1} +45 t^{-2} -20 t^{-3} +6 t^{-4} - t^{-5} }[/math]
Conway polynomial	Data:K13a3509/Conway Polynomial
Determinant	373
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^{10}+a^2 z^8+2 z^8 a^{-2} -7 z^8+5 a^2 z^6+11 z^6 a^{-2} -z^6 a^{-4} -22 z^6+11 a^2 z^4+25 z^4 a^{-2} -4 z^4 a^{-4} -37 z^4+11 a^2 z^2+26 z^2 a^{-2} -6 z^2 a^{-4} -32 z^2+4 a^2+10 a^{-2} -3 a^{-4} -10 }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 z^{12} a^{-2} +3 z^{12}+12 a z^{11}+21 z^{11} a^{-1} +9 z^{11} a^{-3} +19 a^2 z^{10}+25 z^{10} a^{-2} +11 z^{10} a^{-4} +33 z^{10}+17 a^3 z^9-a z^9-31 z^9 a^{-1} -5 z^9 a^{-3} +8 z^9 a^{-5} +10 a^4 z^8-36 a^2 z^8-85 z^8 a^{-2} -22 z^8 a^{-4} +4 z^8 a^{-6} -105 z^8+4 a^5 z^7-34 a^3 z^7-41 a z^7-6 z^7 a^{-1} -22 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-17 a^4 z^6+35 a^2 z^6+116 z^6 a^{-2} +15 z^6 a^{-4} -11 z^6 a^{-6} +143 z^6-6 a^5 z^5+35 a^3 z^5+64 a z^5+38 z^5 a^{-1} +29 z^5 a^{-3} +11 z^5 a^{-5} -3 z^5 a^{-7} -2 a^6 z^4+12 a^4 z^4-24 a^2 z^4-100 z^4 a^{-2} -11 z^4 a^{-4} +10 z^4 a^{-6} -117 z^4+2 a^5 z^3-21 a^3 z^3-43 a z^3-34 z^3 a^{-1} -18 z^3 a^{-3} -z^3 a^{-5} +3 z^3 a^{-7} +a^6 z^2-4 a^4 z^2+13 a^2 z^2+48 z^2 a^{-2} +9 z^2 a^{-4} -3 z^2 a^{-6} +54 z^2+5 a^3 z+11 a z+10 z a^{-1} +5 z a^{-3} -z a^{-7} -4 a^2-10 a^{-2} -3 a^{-4} -10 }[/math]

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