K13a2783

Dowker-Thistlethwaite code

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

Jones polynomial	Data:K13a2783/Jones Polynomial
Alexander polynomial	$t^{5}-5t^{4}+12t^{3}-18t^{2}+22t-23+22t^{-1}-18t^{-2}+12t^{-3}-5t^{-4}+t^{-5}$
Conway polynomial	Data:K13a2783/Conway Polynomial
Determinant	139
Signature	-6
HOMFLY-PT polynomial	$z^{6}a^{10}+5z^{4}a^{10}+7z^{2}a^{10}+3a^{10}-2z^{8}a^{8}-13z^{6}a^{8}-29z^{4}a^{8}-27z^{2}a^{8}-9a^{8}+z^{10}a^{6}+8z^{8}a^{6}+25z^{6}a^{6}+39z^{4}a^{6}+29z^{2}a^{6}+7a^{6}-z^{8}a^{4}-6z^{6}a^{4}-11z^{4}a^{4}-6z^{2}a^{4}$
Kauffman polynomial	$z^{4}a^{16}-z^{2}a^{16}+3z^{5}a^{15}-3z^{3}a^{15}+5z^{6}a^{14}-5z^{4}a^{14}+z^{2}a^{14}+7z^{7}a^{13}-11z^{5}a^{13}+8z^{3}a^{13}-2za^{13}+8z^{8}a^{12}-16z^{6}a^{12}+11z^{4}a^{12}-z^{2}a^{12}+8z^{9}a^{11}-20z^{7}a^{11}+15z^{5}a^{11}-4z^{3}a^{11}+za^{11}+7z^{10}a^{10}-22z^{8}a^{10}+24z^{6}a^{10}-19z^{4}a^{10}+10z^{2}a^{10}-3a^{10}+4z^{11}a^{9}-8z^{9}a^{9}-13z^{7}a^{9}+36z^{5}a^{9}-32z^{3}a^{9}+10za^{9}+z^{12}a^{8}+8z^{10}a^{8}-57z^{8}a^{8}+111z^{6}a^{8}-103z^{4}a^{8}+47z^{2}a^{8}-9a^{8}+7z^{11}a^{7}-32z^{9}a^{7}+40z^{7}a^{7}-8z^{5}a^{7}-13z^{3}a^{7}+6za^{7}+z^{12}a^{6}+4z^{10}a^{6}-46z^{8}a^{6}+107z^{6}a^{6}-104z^{4}a^{6}+47z^{2}a^{6}-7a^{6}+3z^{11}a^{5}-15z^{9}a^{5}+20z^{7}a^{5}-4z^{5}a^{5}-2z^{3}a^{5}-za^{5}+3z^{10}a^{4}-19z^{8}a^{4}+41z^{6}a^{4}-37z^{4}a^{4}+13z^{2}a^{4}+z^{9}a^{3}-6z^{7}a^{3}+11z^{5}a^{3}-6z^{3}a^{3}$