K13n4138

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n4138/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-6t^{2}+2t+1+2t^{-1}-6t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K13n4138/Conway Polynomial
Determinant	27
Signature	-6
HOMFLY-PT polynomial	$-2z^{2}a^{10}-a^{10}+z^{6}a^{8}+5z^{4}a^{8}+4z^{2}a^{8}-a^{8}-z^{8}a^{6}-5z^{6}a^{6}-5z^{4}a^{6}+2z^{2}a^{6}+3a^{6}+z^{6}a^{4}+4z^{4}a^{4}+3z^{2}a^{4}$
Kauffman polynomial	$z^{5}a^{13}-4z^{3}a^{13}+2za^{13}+z^{6}a^{12}-6z^{4}a^{12}+4z^{2}a^{12}-3z^{5}a^{11}+3z^{3}a^{11}-2za^{11}+z^{10}a^{10}-7z^{8}a^{10}+14z^{6}a^{10}-14z^{4}a^{10}+3z^{2}a^{10}+a^{10}+z^{11}a^{9}-5z^{9}a^{9}+5z^{7}a^{9}-5z^{5}a^{9}+8z^{3}a^{9}-3za^{9}+4z^{10}a^{8}-24z^{8}a^{8}+41z^{6}a^{8}-28z^{4}a^{8}+9z^{2}a^{8}-a^{8}+z^{11}a^{7}-2z^{9}a^{7}-11z^{7}a^{7}+22z^{5}a^{7}-8z^{3}a^{7}+za^{7}+3z^{10}a^{6}-16z^{8}a^{6}+23z^{6}a^{6}-13z^{4}a^{6}+7z^{2}a^{6}-3a^{6}+3z^{9}a^{5}-16z^{7}a^{5}+23z^{5}a^{5}-9z^{3}a^{5}+z^{8}a^{4}-5z^{6}a^{4}+7z^{4}a^{4}-3z^{2}a^{4}$