K13a4120

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a4120/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 3 t^4-12 t^3+21 t^2-26 t+29-26 t^{-1} +21 t^{-2} -12 t^{-3} +3 t^{-4} }[/math]
Conway polynomial	Data:K13a4120/Conway Polynomial
Determinant	153
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ 2 z^8 a^{-2} +z^8 a^{-4} +12 z^6 a^{-2} +4 z^6 a^{-4} -z^6 a^{-6} -3 z^6+a^2 z^4+25 z^4 a^{-2} +2 z^4 a^{-4} -4 z^4 a^{-6} -15 z^4+4 a^2 z^2+23 z^2 a^{-2} -4 z^2 a^{-4} -3 z^2 a^{-6} -22 z^2+4 a^2+8 a^{-2} -2 a^{-4} -9 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{12} a^{-2} +2 z^{12}+3 a z^{11}+11 z^{11} a^{-1} +8 z^{11} a^{-3} +a^2 z^{10}+9 z^{10} a^{-2} +15 z^{10} a^{-4} -5 z^{10}-20 a z^9-62 z^9 a^{-1} -23 z^9 a^{-3} +19 z^9 a^{-5} -7 a^2 z^8-93 z^8 a^{-2} -58 z^8 a^{-4} +18 z^8 a^{-6} -24 z^8+47 a z^7+109 z^7 a^{-1} -22 z^7 a^{-3} -70 z^7 a^{-5} +14 z^7 a^{-7} +19 a^2 z^6+197 z^6 a^{-2} +53 z^6 a^{-4} -53 z^6 a^{-6} +10 z^6 a^{-8} +100 z^6-45 a z^5-57 z^5 a^{-1} +93 z^5 a^{-3} +71 z^5 a^{-5} -28 z^5 a^{-7} +6 z^5 a^{-9} -25 a^2 z^4-155 z^4 a^{-2} -5 z^4 a^{-4} +37 z^4 a^{-6} -13 z^4 a^{-8} +3 z^4 a^{-10} -122 z^4+14 a z^3-8 z^3 a^{-1} -62 z^3 a^{-3} -29 z^3 a^{-5} +7 z^3 a^{-7} -3 z^3 a^{-9} +z^3 a^{-11} +16 a^2 z^2+52 z^2 a^{-2} -10 z^2 a^{-6} +2 z^2 a^{-8} +56 z^2+8 z a^{-1} +14 z a^{-3} +6 z a^{-5} -4 a^2-8 a^{-2} -2 a^{-4} -9 }[/math]

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