K13a2941

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a2941/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -2 t^4+13 t^3-39 t^2+71 t-85+71 t^{-1} -39 t^{-2} +13 t^{-3} -2 t^{-4} }[/math]
Conway polynomial	Data:K13a2941/Conway Polynomial
Determinant	335
Signature	2
HOMFLY-PT polynomial	[math]\displaystyle{ -z^8 a^{-2} -z^8+a^2 z^6-2 z^6 a^{-2} +2 z^6 a^{-4} -4 z^6+3 a^2 z^4+z^4 a^{-2} +4 z^4 a^{-4} -z^4 a^{-6} -8 z^4+3 a^2 z^2+5 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} -8 z^2+a^2+3 a^{-2} - a^{-4} -2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12}+6 a z^{11}+15 z^{11} a^{-1} +9 z^{11} a^{-3} +7 a^2 z^{10}+30 z^{10} a^{-2} +19 z^{10} a^{-4} +18 z^{10}+4 a^3 z^9-7 a z^9-16 z^9 a^{-1} +20 z^9 a^{-3} +25 z^9 a^{-5} +a^4 z^8-24 a^2 z^8-81 z^8 a^{-2} -12 z^8 a^{-4} +22 z^8 a^{-6} -72 z^8-16 a^3 z^7-27 a z^7-47 z^7 a^{-1} -84 z^7 a^{-3} -35 z^7 a^{-5} +13 z^7 a^{-7} -4 a^4 z^6+26 a^2 z^6+58 z^6 a^{-2} -29 z^6 a^{-4} -30 z^6 a^{-6} +5 z^6 a^{-8} +82 z^6+22 a^3 z^5+54 a z^5+77 z^5 a^{-1} +72 z^5 a^{-3} +14 z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} +5 a^4 z^4-10 a^2 z^4-23 z^4 a^{-2} +22 z^4 a^{-4} +16 z^4 a^{-6} -2 z^4 a^{-8} -42 z^4-12 a^3 z^3-31 a z^3-40 z^3 a^{-1} -29 z^3 a^{-3} -4 z^3 a^{-5} +4 z^3 a^{-7} -2 a^4 z^2+3 a^2 z^2+11 z^2 a^{-2} -2 z^2 a^{-4} -3 z^2 a^{-6} +15 z^2+2 a^3 z+6 a z+8 z a^{-1} +6 z a^{-3} +2 z a^{-5} -a^2-3 a^{-2} - a^{-4} -2 }[/math]

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