K13a4013

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a4013/Jones Polynomial
Alexander polynomial	$3t^{4}-15t^{3}+37t^{2}-58t+67-58t^{-1}+37t^{-2}-15t^{-3}+3t^{-4}$
Conway polynomial	Data:K13a4013/Conway Polynomial
Determinant	293
Signature	-4
HOMFLY-PT polynomial	$z^{4}a^{10}+3z^{2}a^{10}+2a^{10}-3z^{6}a^{8}-12z^{4}a^{8}-15z^{2}a^{8}-6a^{8}+2z^{8}a^{6}+10z^{6}a^{6}+19z^{4}a^{6}+16z^{2}a^{6}+4a^{6}+z^{8}a^{4}+3z^{6}a^{4}+2z^{4}a^{4}+z^{2}a^{4}+a^{4}-z^{6}a^{2}-3z^{4}a^{2}-2z^{2}a^{2}$
Kauffman polynomial	$z^{6}a^{14}-2z^{4}a^{14}+z^{2}a^{14}+4z^{7}a^{13}-8z^{5}a^{13}+3z^{3}a^{13}+8z^{8}a^{12}-15z^{6}a^{12}+5z^{4}a^{12}-z^{2}a^{12}+12z^{9}a^{11}-27z^{7}a^{11}+24z^{5}a^{11}-16z^{3}a^{11}+4za^{11}+13z^{10}a^{10}-31z^{8}a^{10}+32z^{6}a^{10}-17z^{4}a^{10}+5z^{2}a^{10}-2a^{10}+9z^{11}a^{9}-11z^{9}a^{9}-18z^{7}a^{9}+54z^{5}a^{9}-37z^{3}a^{9}+9za^{9}+3z^{12}a^{8}+16z^{10}a^{8}-77z^{8}a^{8}+124z^{6}a^{8}-83z^{4}a^{8}+32z^{2}a^{8}-6a^{8}+18z^{11}a^{7}-52z^{9}a^{7}+49z^{7}a^{7}+2z^{5}a^{7}-14z^{3}a^{7}+3za^{7}+3z^{12}a^{6}+14z^{10}a^{6}-76z^{8}a^{6}+127z^{6}a^{6}-98z^{4}a^{6}+35z^{2}a^{6}-4a^{6}+9z^{11}a^{5}-21z^{9}a^{5}+12z^{7}a^{5}-3z^{3}a^{5}-2za^{5}+11z^{10}a^{4}-34z^{8}a^{4}+39z^{6}a^{4}-30z^{4}a^{4}+8z^{2}a^{4}+a^{4}+8z^{9}a^{3}-23z^{7}a^{3}+17z^{5}a^{3}-5z^{3}a^{3}+4z^{8}a^{2}-12z^{6}a^{2}+9z^{4}a^{2}-2z^{2}a^{2}+z^{7}a-3z^{5}a+2z^{3}a$