K13n1842

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1842/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ -2 t^3+11 t^2-23 t+29-23 t^{-1} +11 t^{-2} -2 t^{-3} }[/math]
Conway polynomial	Data:K13n1842/Conway Polynomial
Determinant	101
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ -z^6 a^{-2} -z^6 a^{-4} -2 z^4 a^{-2} -2 z^4 a^{-4} +z^4 a^{-6} +2 z^4-a^2 z^2-z^2 a^{-2} +z^2 a^{-6} +4 z^2-a^2+ a^{-4} - a^{-6} +2 }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +5 z^{10} a^{-2} +10 z^{10} a^{-4} +5 z^{10} a^{-6} +5 z^9 a^{-1} +2 z^9 a^{-3} +z^9 a^{-5} +4 z^9 a^{-7} -18 z^8 a^{-2} -44 z^8 a^{-4} -22 z^8 a^{-6} +z^8 a^{-8} +3 z^8+a z^7-19 z^7 a^{-1} -38 z^7 a^{-3} -37 z^7 a^{-5} -19 z^7 a^{-7} +17 z^6 a^{-2} +55 z^6 a^{-4} +25 z^6 a^{-6} -4 z^6 a^{-8} -9 z^6+28 z^5 a^{-1} +67 z^5 a^{-3} +65 z^5 a^{-5} +26 z^5 a^{-7} +3 a^2 z^4-3 z^4 a^{-2} -25 z^4 a^{-4} -7 z^4 a^{-6} +4 z^4 a^{-8} +14 z^4+a^3 z^3+a z^3-21 z^3 a^{-1} -46 z^3 a^{-3} -36 z^3 a^{-5} -11 z^3 a^{-7} -3 a^2 z^2-4 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-8} -9 z^2-a^3 z+6 z a^{-1} +11 z a^{-3} +6 z a^{-5} +a^2+ a^{-4} + a^{-6} +2 }[/math]

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