K13a3410

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a3410/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+24t^{3}-54t^{2}+87t-101+87t^{-1}-54t^{-2}+24t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K13a3410/Conway Polynomial
Determinant	447
Signature	-2
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+6a^{2}z^{8}-z^{8}+a^{6}z^{6}-9a^{4}z^{6}+15a^{2}z^{6}-4z^{6}+3a^{6}z^{4}-16a^{4}z^{4}+19a^{2}z^{4}-6z^{4}+4a^{6}z^{2}-14a^{4}z^{2}+14a^{2}z^{2}-4z^{2}+2a^{6}-6a^{4}+6a^{2}-1$
Kauffman polynomial	$4a^{4}z^{12}+4a^{2}z^{12}+15a^{5}z^{11}+28a^{3}z^{11}+13az^{11}+25a^{6}z^{10}+44a^{4}z^{10}+36a^{2}z^{10}+17z^{10}+24a^{7}z^{9}+12a^{5}z^{9}-30a^{3}z^{9}-6az^{9}+12z^{9}a^{-1}+14a^{8}z^{8}-34a^{6}z^{8}-113a^{4}z^{8}-107a^{2}z^{8}+5z^{8}a^{-2}-37z^{8}+5a^{9}z^{7}-43a^{7}z^{7}-77a^{5}z^{7}-36a^{3}z^{7}-36az^{7}-28z^{7}a^{-1}+z^{7}a^{-3}+a^{10}z^{6}-21a^{8}z^{6}+7a^{6}z^{6}+95a^{4}z^{6}+106a^{2}z^{6}-11z^{6}a^{-2}+29z^{6}-5a^{9}z^{5}+35a^{7}z^{5}+77a^{5}z^{5}+56a^{3}z^{5}+43az^{5}+22z^{5}a^{-1}-2z^{5}a^{-3}-a^{10}z^{4}+14a^{8}z^{4}+6a^{6}z^{4}-47a^{4}z^{4}-59a^{2}z^{4}+7z^{4}a^{-2}-14z^{4}+a^{9}z^{3}-17a^{7}z^{3}-35a^{5}z^{3}-27a^{3}z^{3}-18az^{3}-7z^{3}a^{-1}+z^{3}a^{-3}-5a^{8}z^{2}+21a^{4}z^{2}+23a^{2}z^{2}-z^{2}a^{-2}+6z^{2}+4a^{7}z+9a^{5}z+7a^{3}z+3az+za^{-1}-2a^{6}-6a^{4}-6a^{2}-1$