K13a4113

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a4113/Jones Polynomial
Alexander polynomial	$-6t^{3}+35t^{2}-78t+99-78t^{-1}+35t^{-2}-6t^{-3}$
Conway polynomial	Data:K13a4113/Conway Polynomial
Determinant	337
Signature	-4
HOMFLY-PT polynomial	$-z^{2}a^{12}-a^{12}+3z^{4}a^{10}+4z^{2}a^{10}+a^{10}-2z^{6}a^{8}-2z^{4}a^{8}-z^{2}a^{8}-2a^{8}-3z^{6}a^{6}-4z^{4}a^{6}+2z^{2}a^{6}+3a^{6}-z^{6}a^{4}+z^{4}a^{4}+3z^{2}a^{4}+z^{4}a^{2}+z^{2}a^{2}$
Kauffman polynomial	$z^{7}a^{15}-3z^{5}a^{15}+3z^{3}a^{15}-za^{15}+4z^{8}a^{14}-11z^{6}a^{14}+9z^{4}a^{14}-2z^{2}a^{14}+8z^{9}a^{13}-20z^{7}a^{13}+15z^{5}a^{13}-5z^{3}a^{13}+2za^{13}+10z^{10}a^{12}-20z^{8}a^{12}+9z^{6}a^{12}-2z^{4}a^{12}+3z^{2}a^{12}-a^{12}+8z^{11}a^{11}-7z^{9}a^{11}-11z^{7}a^{11}+10z^{5}a^{11}-z^{3}a^{11}-2za^{11}+3z^{12}a^{10}+15z^{10}a^{10}-48z^{8}a^{10}+52z^{6}a^{10}-35z^{4}a^{10}+11z^{2}a^{10}-a^{10}+18z^{11}a^{9}-36z^{9}a^{9}+35z^{7}a^{9}-32z^{5}a^{9}+20z^{3}a^{9}-6za^{9}+3z^{12}a^{8}+20z^{10}a^{8}-61z^{8}a^{8}+78z^{6}a^{8}-59z^{4}a^{8}+23z^{2}a^{8}-2a^{8}+10z^{11}a^{7}-7z^{9}a^{7}-6z^{7}a^{7}+6z^{5}a^{7}+z^{3}a^{7}-za^{7}+15z^{10}a^{6}-28z^{8}a^{6}+29z^{6}a^{6}-23z^{4}a^{6}+13z^{2}a^{6}-3a^{6}+14z^{9}a^{5}-27z^{7}a^{5}+23z^{5}a^{5}-9z^{3}a^{5}+9z^{8}a^{4}-16z^{6}a^{4}+10z^{4}a^{4}-3z^{2}a^{4}+4z^{7}a^{3}-7z^{5}a^{3}+3z^{3}a^{3}+z^{6}a^{2}-2z^{4}a^{2}+z^{2}a^{2}$