K13a1116

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1116/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -4 t^3+25 t^2-66 t+91-66 t^{-1} +25 t^{-2} -4 t^{-3} }[/math]
Conway polynomial	Data:K13a1116/Conway Polynomial
Determinant	281
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -2 z^6 a^{-2} -z^6 a^{-4} -z^6+2 a^2 z^4-2 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} +z^4-a^4 z^2+a^2 z^2-3 z^2 a^{-4} +z^2 a^{-6} +a^2+2 a^{-2} -2 a^{-4} + a^{-6} -1 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12} a^{-4} +8 z^{11} a^{-1} +14 z^{11} a^{-3} +6 z^{11} a^{-5} +22 z^{10} a^{-2} +15 z^{10} a^{-4} +7 z^{10} a^{-6} +14 z^{10}+15 a z^9+2 z^9 a^{-1} -27 z^9 a^{-3} -10 z^9 a^{-5} +4 z^9 a^{-7} +12 a^2 z^8-80 z^8 a^{-2} -71 z^8 a^{-4} -25 z^8 a^{-6} +z^8 a^{-8} -23 z^8+8 a^3 z^7-24 a z^7-46 z^7 a^{-1} -18 z^7 a^{-3} -20 z^7 a^{-5} -16 z^7 a^{-7} +4 a^4 z^6-14 a^2 z^6+88 z^6 a^{-2} +89 z^6 a^{-4} +27 z^6 a^{-6} -4 z^6 a^{-8} +12 z^6+a^5 z^5-9 a^3 z^5+16 a z^5+59 z^5 a^{-1} +55 z^5 a^{-3} +43 z^5 a^{-5} +21 z^5 a^{-7} -5 a^4 z^4+3 a^2 z^4-46 z^4 a^{-2} -51 z^4 a^{-4} -12 z^4 a^{-6} +5 z^4 a^{-8} -4 z^4-a^5 z^3+3 a^3 z^3-5 a z^3-29 z^3 a^{-1} -34 z^3 a^{-3} -25 z^3 a^{-5} -11 z^3 a^{-7} +2 a^4 z^2+3 a^2 z^2+13 z^2 a^{-2} +16 z^2 a^{-4} +4 z^2 a^{-6} -2 z^2 a^{-8} +4 z^2+a z+5 z a^{-1} +7 z a^{-3} +5 z a^{-5} +2 z a^{-7} -a^2-2 a^{-2} -2 a^{-4} - a^{-6} -1 }[/math]

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