K13n2997

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13n2997/Jones Polynomial
Alexander polynomial	$-t^{4}+5t^{3}-12t^{2}+20t-23+20t^{-1}-12t^{-2}+5t^{-3}-t^{-4}$
Conway polynomial	Data:K13n2997/Conway Polynomial
Determinant	99
Signature	2
HOMFLY-PT polynomial	$-z^{8}+a^{2}z^{6}+2z^{6}a^{-2}-6z^{6}+4a^{2}z^{4}+8z^{4}a^{-2}-z^{4}a^{-4}-13z^{4}+4a^{2}z^{2}+9z^{2}a^{-2}-2z^{2}a^{-4}-10z^{2}+2a^{-2}-a^{-4}$
Kauffman polynomial	$az^{11}+z^{11}a^{-1}+3a^{2}z^{10}+3z^{10}a^{-2}+6z^{10}+3a^{3}z^{9}+3az^{9}+4z^{9}a^{-1}+4z^{9}a^{-3}+a^{4}z^{8}-13a^{2}z^{8}-6z^{8}a^{-2}+3z^{8}a^{-4}-23z^{8}-16a^{3}z^{7}-28az^{7}-22z^{7}a^{-1}-9z^{7}a^{-3}+z^{7}a^{-5}-5a^{4}z^{6}+16a^{2}z^{6}+6z^{6}a^{-2}-3z^{6}a^{-4}+30z^{6}+27a^{3}z^{5}+46az^{5}+26z^{5}a^{-1}+11z^{5}a^{-3}+4z^{5}a^{-5}+7a^{4}z^{4}-7a^{2}z^{4}-15z^{4}a^{-2}+2z^{4}a^{-4}+4z^{4}a^{-6}-27z^{4}-15a^{3}z^{3}-26az^{3}-17z^{3}a^{-1}-10z^{3}a^{-3}-3z^{3}a^{-5}+z^{3}a^{-7}-2a^{4}z^{2}+3a^{2}z^{2}+11z^{2}a^{-2}+z^{2}a^{-4}-z^{2}a^{-6}+14z^{2}+a^{3}z+3az+3za^{-1}+2za^{-3}+za^{-5}-2a^{-2}-a^{-4}$