K13a3824

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3824/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+25t^{3}-59t^{2}+98t-115+98t^{-1}-59t^{-2}+25t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K13a3824/Conway Polynomial
Determinant	495
Signature	-2
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+6a^{2}z^{8}-z^{8}+a^{6}z^{6}-8a^{4}z^{6}+15a^{2}z^{6}-4z^{6}+2a^{6}z^{4}-12a^{4}z^{4}+17a^{2}z^{4}-6z^{4}+2a^{6}z^{2}-8a^{4}z^{2}+9a^{2}z^{2}-3z^{2}+a^{6}-3a^{4}+3a^{2}$
Kauffman polynomial	$6a^{4}z^{12}+6a^{2}z^{12}+22a^{5}z^{11}+38a^{3}z^{11}+16az^{11}+35a^{6}z^{10}+52a^{4}z^{10}+35a^{2}z^{10}+18z^{10}+32a^{7}z^{9}-a^{5}z^{9}-62a^{3}z^{9}-17az^{9}+12z^{9}a^{-1}+18a^{8}z^{8}-55a^{6}z^{8}-148a^{4}z^{8}-119a^{2}z^{8}+5z^{8}a^{-2}-39z^{8}+6a^{9}z^{7}-52a^{7}z^{7}-66a^{5}z^{7}+2a^{3}z^{7}-18az^{7}-27z^{7}a^{-1}+z^{7}a^{-3}+a^{10}z^{6}-21a^{8}z^{6}+24a^{6}z^{6}+135a^{4}z^{6}+132a^{2}z^{6}-11z^{6}a^{-2}+32z^{6}-3a^{9}z^{5}+27a^{7}z^{5}+58a^{5}z^{5}+40a^{3}z^{5}+34az^{5}+20z^{5}a^{-1}-2z^{5}a^{-3}+6a^{8}z^{4}-10a^{6}z^{4}-63a^{4}z^{4}-70a^{2}z^{4}+7z^{4}a^{-2}-16z^{4}-8a^{7}z^{3}-20a^{5}z^{3}-23a^{3}z^{3}-18az^{3}-6z^{3}a^{-1}+z^{3}a^{-3}-a^{8}z^{2}+5a^{6}z^{2}+19a^{4}z^{2}+19a^{2}z^{2}-z^{2}a^{-2}+5z^{2}+2a^{7}z+5a^{5}z+5a^{3}z+3az+za^{-1}-a^{6}-3a^{4}-3a^{2}$