K13a3509

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3509/Jones Polynomial
Alexander polynomial	$-t^{5}+6t^{4}-20t^{3}+45t^{2}-72t+85-72t^{-1}+45t^{-2}-20t^{-3}+6t^{-4}-t^{-5}$
Conway polynomial	Data:K13a3509/Conway Polynomial
Determinant	373
Signature	0
HOMFLY-PT polynomial	$-z^{10}+a^{2}z^{8}+2z^{8}a^{-2}-7z^{8}+5a^{2}z^{6}+11z^{6}a^{-2}-z^{6}a^{-4}-22z^{6}+11a^{2}z^{4}+25z^{4}a^{-2}-4z^{4}a^{-4}-37z^{4}+11a^{2}z^{2}+26z^{2}a^{-2}-6z^{2}a^{-4}-32z^{2}+4a^{2}+10a^{-2}-3a^{-4}-10$
Kauffman polynomial	$3z^{12}a^{-2}+3z^{12}+12az^{11}+21z^{11}a^{-1}+9z^{11}a^{-3}+19a^{2}z^{10}+25z^{10}a^{-2}+11z^{10}a^{-4}+33z^{10}+17a^{3}z^{9}-az^{9}-31z^{9}a^{-1}-5z^{9}a^{-3}+8z^{9}a^{-5}+10a^{4}z^{8}-36a^{2}z^{8}-85z^{8}a^{-2}-22z^{8}a^{-4}+4z^{8}a^{-6}-105z^{8}+4a^{5}z^{7}-34a^{3}z^{7}-41az^{7}-6z^{7}a^{-1}-22z^{7}a^{-3}-18z^{7}a^{-5}+z^{7}a^{-7}+a^{6}z^{6}-17a^{4}z^{6}+35a^{2}z^{6}+116z^{6}a^{-2}+15z^{6}a^{-4}-11z^{6}a^{-6}+143z^{6}-6a^{5}z^{5}+35a^{3}z^{5}+64az^{5}+38z^{5}a^{-1}+29z^{5}a^{-3}+11z^{5}a^{-5}-3z^{5}a^{-7}-2a^{6}z^{4}+12a^{4}z^{4}-24a^{2}z^{4}-100z^{4}a^{-2}-11z^{4}a^{-4}+10z^{4}a^{-6}-117z^{4}+2a^{5}z^{3}-21a^{3}z^{3}-43az^{3}-34z^{3}a^{-1}-18z^{3}a^{-3}-z^{3}a^{-5}+3z^{3}a^{-7}+a^{6}z^{2}-4a^{4}z^{2}+13a^{2}z^{2}+48z^{2}a^{-2}+9z^{2}a^{-4}-3z^{2}a^{-6}+54z^{2}+5a^{3}z+11az+10za^{-1}+5za^{-3}-za^{-7}-4a^{2}-10a^{-2}-3a^{-4}-10$