K13a1244

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a1244/Jones Polynomial
Alexander polynomial	$-4t^{3}+26t^{2}-61t+79-61t^{-1}+26t^{-2}-4t^{-3}$
Conway polynomial	Data:K13a1244/Conway Polynomial
Determinant	261
Signature	-4
HOMFLY-PT polynomial	$-z^{2}a^{12}-a^{12}+2z^{4}a^{10}+2z^{2}a^{10}+a^{10}-z^{6}a^{8}+z^{4}a^{8}+2z^{2}a^{8}-a^{8}-2z^{6}a^{6}-2z^{4}a^{6}+z^{2}a^{6}+a^{6}-z^{6}a^{4}+2z^{2}a^{4}+a^{4}+z^{4}a^{2}+z^{2}a^{2}$
Kauffman polynomial	$z^{7}a^{15}-4z^{5}a^{15}+5z^{3}a^{15}-2za^{15}+3z^{8}a^{14}-10z^{6}a^{14}+10z^{4}a^{14}-3z^{2}a^{14}+5z^{9}a^{13}-13z^{7}a^{13}+8z^{5}a^{13}+6z^{10}a^{12}-14z^{8}a^{12}+13z^{6}a^{12}-12z^{4}a^{12}+6z^{2}a^{12}-a^{12}+4z^{11}a^{11}-z^{9}a^{11}-11z^{7}a^{11}+10z^{5}a^{11}-5z^{3}a^{11}+za^{11}+z^{12}a^{10}+13z^{10}a^{10}-38z^{8}a^{10}+48z^{6}a^{10}-36z^{4}a^{10}+11z^{2}a^{10}-a^{10}+8z^{11}a^{9}-5z^{9}a^{9}-13z^{7}a^{9}+17z^{5}a^{9}-7z^{3}a^{9}+2za^{9}+z^{12}a^{8}+15z^{10}a^{8}-33z^{8}a^{8}+28z^{6}a^{8}-12z^{4}a^{8}+5z^{2}a^{8}-a^{8}+4z^{11}a^{7}+11z^{9}a^{7}-37z^{7}a^{7}+37z^{5}a^{7}-16z^{3}a^{7}+4za^{7}+8z^{10}a^{6}-4z^{8}a^{6}-14z^{6}a^{6}+15z^{4}a^{6}-3z^{2}a^{6}-a^{6}+10z^{9}a^{5}-17z^{7}a^{5}+10z^{5}a^{5}-5z^{3}a^{5}+za^{5}+8z^{8}a^{4}-16z^{6}a^{4}+11z^{4}a^{4}-5z^{2}a^{4}+a^{4}+4z^{7}a^{3}-8z^{5}a^{3}+4z^{3}a^{3}+z^{6}a^{2}-2z^{4}a^{2}+z^{2}a^{2}$