K13a636

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a636/Jones Polynomial
Alexander polynomial	$-t^{5}+5t^{4}-12t^{3}+20t^{2}-25t+27-25t^{-1}+20t^{-2}-12t^{-3}+5t^{-4}-t^{-5}$
Conway polynomial	Data:K13a636/Conway Polynomial
Determinant	153
Signature	-4
HOMFLY-PT polynomial	$-a^{4}z^{10}+a^{6}z^{8}-8a^{4}z^{8}+2a^{2}z^{8}+6a^{6}z^{6}-26a^{4}z^{6}+14a^{2}z^{6}-z^{6}+13a^{6}z^{4}-45a^{4}z^{4}+36a^{2}z^{4}-6z^{4}+13a^{6}z^{2}-42a^{4}z^{2}+42a^{2}z^{2}-11z^{2}+5a^{6}-17a^{4}+19a^{2}-6$
Kauffman polynomial	$z^{4}a^{12}-z^{2}a^{12}+3z^{5}a^{11}-2z^{3}a^{11}+6z^{6}a^{10}-6z^{4}a^{10}+3z^{2}a^{10}+9z^{7}a^{9}-14z^{5}a^{9}+11z^{3}a^{9}-3za^{9}+10z^{8}a^{8}-17z^{6}a^{8}+8z^{4}a^{8}+10z^{9}a^{7}-23z^{7}a^{7}+18z^{5}a^{7}-10z^{3}a^{7}+2za^{7}+8z^{10}a^{6}-21z^{8}a^{6}+17z^{6}a^{6}-14z^{4}a^{6}+10z^{2}a^{6}-5a^{6}+4z^{11}a^{5}-3z^{9}a^{5}-32z^{7}a^{5}+67z^{5}a^{5}-61z^{3}a^{5}+22za^{5}+z^{12}a^{4}+8z^{10}a^{4}-49z^{8}a^{4}+83z^{6}a^{4}-77z^{4}a^{4}+50z^{2}a^{4}-17a^{4}+6z^{11}a^{3}-21z^{9}a^{3}+2z^{7}a^{3}+55z^{5}a^{3}-69z^{3}a^{3}+30za^{3}+z^{12}a^{2}+2z^{10}a^{2}-30z^{8}a^{2}+68z^{6}a^{2}-73z^{4}a^{2}+52z^{2}a^{2}-19a^{2}+2z^{11}a-7z^{9}a-5z^{7}a+40z^{5}a-48z^{3}a+19za+2z^{10}-12z^{8}+25z^{6}-25z^{4}+16z^{2}-6+z^{9}a^{-1}-7z^{7}a^{-1}+17z^{5}a^{-1}-17z^{3}a^{-1}+6za^{-1}$