K13a2271

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a2271/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 6 t^3-29 t^2+64 t-81+64 t^{-1} -29 t^{-2} +6 t^{-3} }[/math]
Conway polynomial	Data:K13a2271/Conway Polynomial
Determinant	279
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ 3 z^6 a^{-2} +2 z^6 a^{-4} +z^6-a^2 z^4+8 z^4 a^{-2} +2 z^4 a^{-4} -3 z^4 a^{-6} +z^4-2 a^2 z^2+9 z^2 a^{-2} -3 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} -a^2+4 a^{-2} -4 a^{-4} + a^{-6} +1 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{12} a^{-2} +z^{12} a^{-4} +4 z^{11} a^{-1} +9 z^{11} a^{-3} +5 z^{11} a^{-5} +16 z^{10} a^{-2} +21 z^{10} a^{-4} +11 z^{10} a^{-6} +6 z^{10}+5 a z^9+z^9 a^{-1} -2 z^9 a^{-3} +16 z^9 a^{-5} +14 z^9 a^{-7} +3 a^2 z^8-54 z^8 a^{-2} -56 z^8 a^{-4} -8 z^8 a^{-6} +11 z^8 a^{-8} -14 z^8+a^3 z^7-13 a z^7-23 z^7 a^{-1} -44 z^7 a^{-3} -65 z^7 a^{-5} -25 z^7 a^{-7} +5 z^7 a^{-9} -10 a^2 z^6+81 z^6 a^{-2} +60 z^6 a^{-4} -20 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +13 z^6-4 a^3 z^5+7 a z^5+35 z^5 a^{-1} +84 z^5 a^{-3} +79 z^5 a^{-5} +11 z^5 a^{-7} -8 z^5 a^{-9} +10 a^2 z^4-68 z^4 a^{-2} -33 z^4 a^{-4} +22 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} -14 z^4+5 a^3 z^3+2 a z^3-24 z^3 a^{-1} -56 z^3 a^{-3} -41 z^3 a^{-5} -4 z^3 a^{-7} +2 z^3 a^{-9} -4 a^2 z^2+29 z^2 a^{-2} +16 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} +8 z^2-2 a^3 z-2 a z+4 z a^{-1} +10 z a^{-3} +8 z a^{-5} +2 z a^{-7} +a^2-4 a^{-2} -4 a^{-4} - a^{-6} +1 }[/math]

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