K12a235

Dowker-Thistlethwaite code

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

Jones polynomial	$-q^{8}+4q^{7}-10q^{6}+16q^{5}-22q^{4}+27q^{3}-27q^{2}+25q-19+13q^{-1}-7q^{-2}+3q^{-3}-q^{-4}$
Alexander polynomial	$4t^{3}-18t^{2}+40t-51+40t^{-1}-18t^{-2}+4t^{-3}$
Conway polynomial	$4z^{6}+6z^{4}+4z^{2}+1$
Determinant	175
Signature	2
HOMFLY-PT polynomial	$2z^{6}a^{-2}+z^{6}a^{-4}+z^{6}-a^{2}z^{4}+5z^{4}a^{-2}+z^{4}a^{-4}-z^{4}a^{-6}+2z^{4}-2a^{2}z^{2}+5z^{2}a^{-2}-z^{2}a^{-6}+2z^{2}-a^{2}+2a^{-2}-a^{-6}+1$
Kauffman polynomial	$z^{11}a^{-1}+z^{11}a^{-3}+8z^{10}a^{-2}+5z^{10}a^{-4}+3z^{10}+4az^{9}+10z^{9}a^{-1}+16z^{9}a^{-3}+10z^{9}a^{-5}+3a^{2}z^{8}-9z^{8}a^{-2}+6z^{8}a^{-4}+12z^{8}a^{-6}+a^{3}z^{7}-10az^{7}-32z^{7}a^{-1}-42z^{7}a^{-3}-12z^{7}a^{-5}+9z^{7}a^{-7}-11a^{2}z^{6}-10z^{6}a^{-2}-27z^{6}a^{-4}-21z^{6}a^{-6}+4z^{6}a^{-8}-19z^{6}-4a^{3}z^{5}+3az^{5}+30z^{5}a^{-1}+40z^{5}a^{-3}+2z^{5}a^{-5}-14z^{5}a^{-7}+z^{5}a^{-9}+13a^{2}z^{4}+13z^{4}a^{-2}+23z^{4}a^{-4}+16z^{4}a^{-6}-4z^{4}a^{-8}+23z^{4}+5a^{3}z^{3}+5az^{3}-14z^{3}a^{-1}-20z^{3}a^{-3}+3z^{3}a^{-5}+8z^{3}a^{-7}-z^{3}a^{-9}-6a^{2}z^{2}-2z^{2}a^{-2}-5z^{2}a^{-4}-6z^{2}a^{-6}-9z^{2}-2a^{3}z-2az+3za^{-1}+5za^{-3}-za^{-5}-3za^{-7}+a^{2}-2a^{-2}+a^{-6}+1$