K13n1211

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n1211/Jones Polynomial
Alexander polynomial	[math]\displaystyle{ t^4-6 t^3+19 t^2-34 t+41-34 t^{-1} +19 t^{-2} -6 t^{-3} + t^{-4} }[/math]
Conway polynomial	Data:K13n1211/Conway Polynomial
Determinant	161
Signature	4
HOMFLY-PT polynomial	[math]\displaystyle{ z^8 a^{-6} -z^6 a^{-4} +5 z^6 a^{-6} -2 z^6 a^{-8} -2 z^4 a^{-4} +11 z^4 a^{-6} -7 z^4 a^{-8} +z^4 a^{-10} +11 z^2 a^{-6} -9 z^2 a^{-8} +2 z^2 a^{-10} + a^{-4} +3 a^{-6} -4 a^{-8} + a^{-10} }[/math]
Kauffman polynomial	[math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +4 z^{10} a^{-6} +11 z^{10} a^{-8} +7 z^{10} a^{-10} +2 z^9 a^{-5} +2 z^9 a^{-7} +10 z^9 a^{-9} +10 z^9 a^{-11} -14 z^8 a^{-6} -35 z^8 a^{-8} -13 z^8 a^{-10} +8 z^8 a^{-12} -3 z^7 a^{-5} -17 z^7 a^{-7} -45 z^7 a^{-9} -27 z^7 a^{-11} +4 z^7 a^{-13} +5 z^6 a^{-4} +37 z^6 a^{-6} +57 z^6 a^{-8} +4 z^6 a^{-10} -20 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-3} +10 z^5 a^{-5} +45 z^5 a^{-7} +71 z^5 a^{-9} +26 z^5 a^{-11} -9 z^5 a^{-13} -9 z^4 a^{-4} -42 z^4 a^{-6} -43 z^4 a^{-8} +5 z^4 a^{-10} +13 z^4 a^{-12} -2 z^4 a^{-14} -2 z^3 a^{-3} -14 z^3 a^{-5} -43 z^3 a^{-7} -47 z^3 a^{-9} -13 z^3 a^{-11} +3 z^3 a^{-13} +3 z^2 a^{-4} +18 z^2 a^{-6} +17 z^2 a^{-8} -z^2 a^{-10} -3 z^2 a^{-12} +z a^{-3} +4 z a^{-5} +12 z a^{-7} +12 z a^{-9} +3 z a^{-11} + a^{-4} -3 a^{-6} -4 a^{-8} - a^{-10} }[/math]

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