K13a742

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a742/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ 2 t^4-10 t^3+26 t^2-43 t+51-43 t^{-1} +26 t^{-2} -10 t^{-3} +2 t^{-4} }[/math]
Conway polynomial	Data:K13a742/Conway Polynomial
Determinant	213
Signature	0
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-2} +z^8-a^2 z^6+4 z^6 a^{-2} -2 z^6 a^{-4} +5 z^6-4 a^2 z^4+6 z^4 a^{-2} -7 z^4 a^{-4} +z^4 a^{-6} +10 z^4-5 a^2 z^2+5 z^2 a^{-2} -8 z^2 a^{-4} +2 z^2 a^{-6} +9 z^2-2 a^2+3 a^{-2} -4 a^{-4} + a^{-6} +3 }[/math]
Kauffman polynomial	[math]\displaystyle{ z^{12} a^{-2} +z^{12} a^{-4} +4 z^{11} a^{-1} +8 z^{11} a^{-3} +4 z^{11} a^{-5} +14 z^{10} a^{-2} +13 z^{10} a^{-4} +6 z^{10} a^{-6} +7 z^{10}+8 a z^9+4 z^9 a^{-1} -11 z^9 a^{-3} -3 z^9 a^{-5} +4 z^9 a^{-7} +7 a^2 z^8-52 z^8 a^{-2} -59 z^8 a^{-4} -22 z^8 a^{-6} +z^8 a^{-8} -9 z^8+5 a^3 z^7-13 a z^7-36 z^7 a^{-1} -37 z^7 a^{-3} -36 z^7 a^{-5} -17 z^7 a^{-7} +3 a^4 z^6-10 a^2 z^6+56 z^6 a^{-2} +71 z^6 a^{-4} +20 z^6 a^{-6} -4 z^6 a^{-8} -4 z^6+a^5 z^5-6 a^3 z^5+10 a z^5+49 z^5 a^{-1} +76 z^5 a^{-3} +67 z^5 a^{-5} +23 z^5 a^{-7} -5 a^4 z^4+8 a^2 z^4-24 z^4 a^{-2} -36 z^4 a^{-4} -3 z^4 a^{-6} +5 z^4 a^{-8} +17 z^4-2 a^5 z^3+a^3 z^3-2 a z^3-24 z^3 a^{-1} -49 z^3 a^{-3} -43 z^3 a^{-5} -13 z^3 a^{-7} +2 a^4 z^2-6 a^2 z^2+6 z^2 a^{-2} +12 z^2 a^{-4} -2 z^2 a^{-8} -12 z^2+a^5 z-a z+4 z a^{-1} +12 z a^{-3} +11 z a^{-5} +3 z a^{-7} +2 a^2-3 a^{-2} -4 a^{-4} - a^{-6} +3 }[/math]

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