K13n1176

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n1176

Polynomial invariants

Jones polynomial	Data:K13n1176/Jones Polynomial
Alexander polynomial	$t^{5}-t^{4}-t^{3}+4t^{2}-5t+5-5t^{-1}+4t^{-2}-t^{-3}-t^{-4}+t^{-5}$
Conway polynomial	Data:K13n1176/Conway Polynomial
Determinant	21
Signature	8
HOMFLY-PT polynomial	$z^{10}a^{-10}+10z^{8}a^{-10}-z^{8}a^{-12}+36z^{6}a^{-10}-10z^{6}a^{-12}+58z^{4}a^{-10}-32z^{4}a^{-12}+2z^{4}a^{-14}+42z^{2}a^{-10}-39z^{2}a^{-12}+8z^{2}a^{-14}+11a^{-10}-16a^{-12}+7a^{-14}-a^{-16}$
Kauffman polynomial	$z^{10}a^{-10}+z^{10}a^{-12}+z^{9}a^{-11}+z^{9}a^{-13}-10z^{8}a^{-10}-11z^{8}a^{-12}-z^{8}a^{-14}-10z^{7}a^{-11}-11z^{7}a^{-13}-z^{7}a^{-15}+36z^{6}a^{-10}+42z^{6}a^{-12}+8z^{6}a^{-14}+2z^{6}a^{-16}+32z^{5}a^{-11}+41z^{5}a^{-13}+13z^{5}a^{-15}+4z^{5}a^{-17}-58z^{4}a^{-10}-70z^{4}a^{-12}-14z^{4}a^{-14}+z^{4}a^{-16}+3z^{4}a^{-18}-39z^{3}a^{-11}-56z^{3}a^{-13}-23z^{3}a^{-15}-5z^{3}a^{-17}+z^{3}a^{-19}+42z^{2}a^{-10}+54z^{2}a^{-12}+12z^{2}a^{-14}-2z^{2}a^{-16}-2z^{2}a^{-18}+16za^{-11}+24za^{-13}+11za^{-15}+3za^{-17}-11a^{-10}-16a^{-12}-7a^{-14}-a^{-16}$

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