K13a4878

Interlaced form of 13/2 star polygon

Decorative interlaced form of 13/2 star polygon

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a4878/Jones Polynomial
Alexander polynomial	$t^{6}-t^{5}+t^{4}-t^{3}+t^{2}-t+1-t^{-1}+t^{-2}-t^{-3}+t^{-4}-t^{-5}+t^{-6}$
Conway polynomial	Data:K13a4878/Conway Polynomial
Determinant	13
Signature	12
HOMFLY-PT polynomial	$z^{12}a^{-12}+12z^{10}a^{-12}-z^{10}a^{-14}+55z^{8}a^{-12}-10z^{8}a^{-14}+120z^{6}a^{-12}-36z^{6}a^{-14}+126z^{4}a^{-12}-56z^{4}a^{-14}+56z^{2}a^{-12}-35z^{2}a^{-14}+7a^{-12}-6a^{-14}$
Kauffman polynomial	$z^{12}a^{-12}+z^{12}a^{-14}+z^{11}a^{-13}+z^{11}a^{-15}-12z^{10}a^{-12}-11z^{10}a^{-14}+z^{10}a^{-16}-10z^{9}a^{-13}-9z^{9}a^{-15}+z^{9}a^{-17}+55z^{8}a^{-12}+46z^{8}a^{-14}-8z^{8}a^{-16}+z^{8}a^{-18}+36z^{7}a^{-13}+28z^{7}a^{-15}-7z^{7}a^{-17}+z^{7}a^{-19}-120z^{6}a^{-12}-92z^{6}a^{-14}+21z^{6}a^{-16}-6z^{6}a^{-18}+z^{6}a^{-20}-56z^{5}a^{-13}-35z^{5}a^{-15}+15z^{5}a^{-17}-5z^{5}a^{-19}+z^{5}a^{-21}+126z^{4}a^{-12}+91z^{4}a^{-14}-20z^{4}a^{-16}+10z^{4}a^{-18}-4z^{4}a^{-20}+z^{4}a^{-22}+35z^{3}a^{-13}+15z^{3}a^{-15}-10z^{3}a^{-17}+6z^{3}a^{-19}-3z^{3}a^{-21}+z^{3}a^{-23}-56z^{2}a^{-12}-41z^{2}a^{-14}+5z^{2}a^{-16}-4z^{2}a^{-18}+3z^{2}a^{-20}-2z^{2}a^{-22}+z^{2}a^{-24}-6za^{-13}-za^{-15}+za^{-17}-za^{-19}+za^{-21}-za^{-23}+za^{-25}+7a^{-12}+6a^{-14}$