K13a3266

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3266/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^5-7 t^4+22 t^3-45 t^2+67 t-75+67 t^{-1} -45 t^{-2} +22 t^{-3} -7 t^{-4} + t^{-5} }[/math]
Conway polynomial	Data:K13a3266/Conway Polynomial
Determinant	359
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ z^{10} a^{-2} +6 z^8 a^{-2} -z^8 a^{-4} -2 z^8+a^2 z^6+14 z^6 a^{-2} -4 z^6 a^{-4} -10 z^6+4 a^2 z^4+16 z^4 a^{-2} -5 z^4 a^{-4} -18 z^4+5 a^2 z^2+9 z^2 a^{-2} -2 z^2 a^{-4} -14 z^2+2 a^2+2 a^{-2} -3 }[/math]
Kauffman polynomial	[math]\displaystyle{ 3 z^{12} a^{-2} +3 z^{12}+8 a z^{11}+21 z^{11} a^{-1} +13 z^{11} a^{-3} +8 a^2 z^{10}+36 z^{10} a^{-2} +25 z^{10} a^{-4} +19 z^{10}+4 a^3 z^9-16 a z^9-40 z^9 a^{-1} +9 z^9 a^{-3} +29 z^9 a^{-5} +a^4 z^8-28 a^2 z^8-120 z^8 a^{-2} -36 z^8 a^{-4} +23 z^8 a^{-6} -90 z^8-15 a^3 z^7-9 a z^7-17 z^7 a^{-1} -85 z^7 a^{-3} -49 z^7 a^{-5} +13 z^7 a^{-7} -4 a^4 z^6+34 a^2 z^6+118 z^6 a^{-2} +z^6 a^{-4} -31 z^6 a^{-6} +5 z^6 a^{-8} +119 z^6+19 a^3 z^5+33 a z^5+63 z^5 a^{-1} +90 z^5 a^{-3} +29 z^5 a^{-5} -11 z^5 a^{-7} +z^5 a^{-9} +5 a^4 z^4-21 a^2 z^4-52 z^4 a^{-2} +12 z^4 a^{-4} +14 z^4 a^{-6} -2 z^4 a^{-8} -74 z^4-10 a^3 z^3-22 a z^3-37 z^3 a^{-1} -35 z^3 a^{-3} -8 z^3 a^{-5} +2 z^3 a^{-7} -2 a^4 z^2+9 a^2 z^2+13 z^2 a^{-2} -3 z^2 a^{-4} -2 z^2 a^{-6} +25 z^2+2 a^3 z+5 a z+7 z a^{-1} +5 z a^{-3} +z a^{-5} -2 a^2-2 a^{-2} -3 }[/math]

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