K13n4329

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n4329/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-6 t^3+17 t^2-29 t+35-29 t^{-1} +17 t^{-2} -6 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13n4329/Conway Polynomial
Determinant	141
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-2} +5 z^6 a^{-2} -z^6 a^{-4} -2 z^6+a^2 z^4+10 z^4 a^{-2} -3 z^4 a^{-4} -7 z^4+2 a^2 z^2+10 z^2 a^{-2} -3 z^2 a^{-4} -8 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +6 z^{10} a^{-4} +4 z^{10}+3 a z^9+z^9 a^{-1} +5 z^9 a^{-3} +7 z^9 a^{-5} +a^2 z^8-33 z^8 a^{-2} -17 z^8 a^{-4} +4 z^8 a^{-6} -11 z^8-5 a z^7-11 z^7 a^{-1} -31 z^7 a^{-3} -24 z^7 a^{-5} +z^7 a^{-7} +3 a^2 z^6+47 z^6 a^{-2} +13 z^6 a^{-4} -13 z^6 a^{-6} +24 z^6+4 a^3 z^5+12 a z^5+19 z^5 a^{-1} +37 z^5 a^{-3} +23 z^5 a^{-5} -3 z^5 a^{-7} +a^4 z^4-2 a^2 z^4-42 z^4 a^{-2} -10 z^4 a^{-4} +10 z^4 a^{-6} -25 z^4-4 a^3 z^3-9 a z^3-16 z^3 a^{-1} -22 z^3 a^{-3} -9 z^3 a^{-5} +2 z^3 a^{-7} -a^4 z^2+2 a^2 z^2+19 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} +14 z^2+a^3 z+3 a z+5 z a^{-1} +6 z a^{-3} +3 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math]

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