K13a3797

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3797/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+22t^{3}-45t^{2}+68t-77+68t^{-1}-45t^{-2}+22t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K13a3797/Conway Polynomial
Determinant	363
Signature	-2
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+6a^{2}z^{8}-z^{8}+a^{6}z^{6}-10a^{4}z^{6}+14a^{2}z^{6}-4z^{6}+4a^{6}z^{4}-18a^{4}z^{4}+16a^{2}z^{4}-5z^{4}+5a^{6}z^{2}-14a^{4}z^{2}+10a^{2}z^{2}-2z^{2}+2a^{6}-5a^{4}+4a^{2}$
Kauffman polynomial	$4a^{4}z^{12}+4a^{2}z^{12}+13a^{5}z^{11}+24a^{3}z^{11}+11az^{11}+19a^{6}z^{10}+24a^{4}z^{10}+19a^{2}z^{10}+14z^{10}+17a^{7}z^{9}-17a^{5}z^{9}-58a^{3}z^{9}-13az^{9}+11z^{9}a^{-1}+10a^{8}z^{8}-49a^{6}z^{8}-96a^{4}z^{8}-72a^{2}z^{8}+5z^{8}a^{-2}-30z^{8}+4a^{9}z^{7}-45a^{7}z^{7}-12a^{5}z^{7}+56a^{3}z^{7}-9az^{7}-27z^{7}a^{-1}+z^{7}a^{-3}+a^{10}z^{6}-22a^{8}z^{6}+55a^{6}z^{6}+141a^{4}z^{6}+90a^{2}z^{6}-12z^{6}a^{-2}+15z^{6}-7a^{9}z^{5}+50a^{7}z^{5}+47a^{5}z^{5}-24a^{3}z^{5}+6az^{5}+18z^{5}a^{-1}-2z^{5}a^{-3}-2a^{10}z^{4}+15a^{8}z^{4}-22a^{6}z^{4}-95a^{4}z^{4}-68a^{2}z^{4}+8z^{4}a^{-2}-4z^{4}-23a^{7}z^{3}-28a^{5}z^{3}-3a^{3}z^{3}-az^{3}-2z^{3}a^{-1}+z^{3}a^{-3}-5a^{8}z^{2}+7a^{6}z^{2}+31a^{4}z^{2}+23a^{2}z^{2}-z^{2}a^{-2}+3z^{2}+4a^{7}z+7a^{5}z+3a^{3}z-2a^{6}-5a^{4}-4a^{2}$