K13n4748

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n4748/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -t^5+4 t^4-8 t^3+12 t^2-17 t+21-17 t^{-1} +12 t^{-2} -8 t^{-3} +4 t^{-4} - t^{-5} }[/math]
Conway polynomial	Data:K13n4748/Conway Polynomial
Determinant	105
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -8 z^8+6 a^2 z^6+7 z^6 a^{-2} -24 z^6+12 a^2 z^4+17 z^4 a^{-2} -z^4 a^{-4} -34 z^4+9 a^2 z^2+16 z^2 a^{-2} -3 z^2 a^{-4} -24 z^2+3 a^2+5 a^{-2} - a^{-4} -6 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +4 a^2 z^{10}+4 z^{10} a^{-2} +8 z^{10}+4 a^3 z^9-4 a z^9-6 z^9 a^{-1} +2 z^9 a^{-3} +4 a^4 z^8-14 a^2 z^8-22 z^8 a^{-2} -40 z^8+3 a^5 z^7-9 a^3 z^7-2 a z^7+3 z^7 a^{-1} -7 z^7 a^{-3} +a^6 z^6-10 a^4 z^6+23 a^2 z^6+53 z^6 a^{-2} +4 z^6 a^{-4} +83 z^6-9 a^5 z^5+3 a^3 z^5+14 a z^5+13 z^5 a^{-1} +12 z^5 a^{-3} +z^5 a^{-5} -3 a^6 z^4+4 a^4 z^4-21 a^2 z^4-57 z^4 a^{-2} -11 z^4 a^{-4} -74 z^4+6 a^5 z^3-6 a z^3-9 z^3 a^{-1} -12 z^3 a^{-3} -3 z^3 a^{-5} +2 a^6 z^2-a^4 z^2+10 a^2 z^2+27 z^2 a^{-2} +5 z^2 a^{-4} +35 z^2-a^5 z-a^3 z+2 z a^{-1} +3 z a^{-3} +z a^{-5} -3 a^2-5 a^{-2} - a^{-4} -6 }[/math]

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