K13a3714

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a3714

Polynomial invariants

Jones polynomial	Data:K13a3714/Jones Polynomial
Alexander polynomial	$5t^{4}-18t^{3}+36t^{2}-50t+55-50t^{-1}+36t^{-2}-18t^{-3}+5t^{-4}$
Conway polynomial	Data:K13a3714/Conway Polynomial
Determinant	273
Signature	8
HOMFLY-PT polynomial	$z^{8}a^{-8}+3z^{8}a^{-10}+z^{8}a^{-12}+5z^{6}a^{-8}+17z^{6}a^{-10}+z^{6}a^{-12}-z^{6}a^{-14}+8z^{4}a^{-8}+34z^{4}a^{-10}-12z^{4}a^{-12}-2z^{4}a^{-14}+4z^{2}a^{-8}+30z^{2}a^{-10}-26z^{2}a^{-12}+4z^{2}a^{-14}+10a^{-10}-14a^{-12}+6a^{-14}-a^{-16}$
Kauffman polynomial	$2z^{12}a^{-12}+2z^{12}a^{-14}+5z^{11}a^{-11}+13z^{11}a^{-13}+8z^{11}a^{-15}+6z^{10}a^{-10}+10z^{10}a^{-12}+20z^{10}a^{-14}+16z^{10}a^{-16}+3z^{9}a^{-9}-10z^{9}a^{-11}-28z^{9}a^{-13}+4z^{9}a^{-15}+19z^{9}a^{-17}+z^{8}a^{-8}-26z^{8}a^{-10}-55z^{8}a^{-12}-74z^{8}a^{-14}-31z^{8}a^{-16}+15z^{8}a^{-18}-12z^{7}a^{-9}-11z^{7}a^{-11}-8z^{7}a^{-13}-61z^{7}a^{-15}-43z^{7}a^{-17}+9z^{7}a^{-19}-5z^{6}a^{-8}+46z^{6}a^{-10}+88z^{6}a^{-12}+84z^{6}a^{-14}+17z^{6}a^{-16}-26z^{6}a^{-18}+4z^{6}a^{-20}+14z^{5}a^{-9}+37z^{5}a^{-11}+58z^{5}a^{-13}+93z^{5}a^{-15}+46z^{5}a^{-17}-11z^{5}a^{-19}+z^{5}a^{-21}+8z^{4}a^{-8}-51z^{4}a^{-10}-87z^{4}a^{-12}-46z^{4}a^{-14}+5z^{4}a^{-16}+19z^{4}a^{-18}-4z^{4}a^{-20}-4z^{3}a^{-9}-36z^{3}a^{-11}-62z^{3}a^{-13}-57z^{3}a^{-15}-23z^{3}a^{-17}+3z^{3}a^{-19}-z^{3}a^{-21}-4z^{2}a^{-8}+35z^{2}a^{-10}+52z^{2}a^{-12}+16z^{2}a^{-14}-2z^{2}a^{-16}-5z^{2}a^{-18}+14za^{-11}+22za^{-13}+14za^{-15}+6za^{-17}-10a^{-10}-14a^{-12}-6a^{-14}-a^{-16}$

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