K12a656

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{2}+5q-12+21q^{-1}-29q^{-2}+36q^{-3}-37q^{-4}+34q^{-5}-27q^{-6}+18q^{-7}-10q^{-8}+4q^{-9}-q^{-10}$
Alexander polynomial	$4t^{3}-22t^{2}+55t-73+55t^{-1}-22t^{-2}+4t^{-3}$
Conway polynomial	$4z^{6}+2z^{4}+3z^{2}+1$
Determinant	235
Signature	-2
HOMFLY-PT polynomial	$-z^{4}a^{8}-z^{2}a^{8}-a^{8}+z^{6}a^{6}+z^{4}a^{6}+2z^{2}a^{6}+a^{6}+2z^{6}a^{4}+3z^{4}a^{4}+2z^{2}a^{4}+z^{6}a^{2}+a^{2}-z^{4}$
Kauffman polynomial	$z^{7}a^{11}-3z^{5}a^{11}+3z^{3}a^{11}-za^{11}+4z^{8}a^{10}-12z^{6}a^{10}+11z^{4}a^{10}-3z^{2}a^{10}+7z^{9}a^{9}-18z^{7}a^{9}+12z^{5}a^{9}-2z^{3}a^{9}+7z^{10}a^{8}-11z^{8}a^{8}-5z^{6}a^{8}+9z^{4}a^{8}-z^{2}a^{8}-a^{8}+3z^{11}a^{7}+12z^{9}a^{7}-47z^{7}a^{7}+42z^{5}a^{7}-12z^{3}a^{7}+18z^{10}a^{6}-35z^{8}a^{6}+11z^{6}a^{6}+6z^{4}a^{6}-a^{6}+3z^{11}a^{5}+23z^{9}a^{5}-66z^{7}a^{5}+51z^{5}a^{5}-10z^{3}a^{5}-za^{5}+11z^{10}a^{4}-2z^{8}a^{4}-27z^{6}a^{4}+22z^{4}a^{4}-3z^{2}a^{4}+18z^{9}a^{3}-26z^{7}a^{3}+10z^{5}a^{3}-z^{3}a^{3}+18z^{8}a^{2}-26z^{6}a^{2}+11z^{4}a^{2}-z^{2}a^{2}-a^{2}+12z^{7}a-13z^{5}a+2z^{3}a+5z^{6}-3z^{4}+z^{5}a^{-1}$