K13n2031

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n2031

Polynomial invariants

Jones polynomial	Data:K13n2031/Jones Polynomial
Alexander polynomial	$3t^{4}-7t^{3}+6t^{2}+t-5+t^{-1}+6t^{-2}-7t^{-3}+3t^{-4}$
Conway polynomial	Data:K13n2031/Conway Polynomial
Determinant	25
Signature	8
HOMFLY-PT polynomial	$z^{8}a^{-8}+2z^{8}a^{-10}+6z^{6}a^{-8}+13z^{6}a^{-10}-2z^{6}a^{-12}+11z^{4}a^{-8}+26z^{4}a^{-10}-13z^{4}a^{-12}+8z^{2}a^{-8}+20z^{2}a^{-10}-21z^{2}a^{-12}+3z^{2}a^{-14}+2a^{-8}+5a^{-10}-9a^{-12}+3a^{-14}$
Kauffman polynomial	$z^{11}a^{-11}+z^{11}a^{-13}+3z^{10}a^{-10}+5z^{10}a^{-12}+2z^{10}a^{-14}+2z^{9}a^{-9}-z^{9}a^{-13}+z^{9}a^{-15}+z^{8}a^{-8}-17z^{8}a^{-10}-30z^{8}a^{-12}-11z^{8}a^{-14}+z^{8}a^{-16}-10z^{7}a^{-9}-25z^{7}a^{-11}-23z^{7}a^{-13}-6z^{7}a^{-15}+2z^{7}a^{-17}-6z^{6}a^{-8}+30z^{6}a^{-10}+53z^{6}a^{-12}+10z^{6}a^{-14}-6z^{6}a^{-16}+z^{6}a^{-18}+12z^{5}a^{-9}+55z^{5}a^{-11}+56z^{5}a^{-13}+3z^{5}a^{-15}-10z^{5}a^{-17}+11z^{4}a^{-8}-29z^{4}a^{-10}-46z^{4}a^{-12}+2z^{4}a^{-14}+4z^{4}a^{-16}-4z^{4}a^{-18}-3z^{3}a^{-9}-42z^{3}a^{-11}-45z^{3}a^{-13}+3z^{3}a^{-15}+9z^{3}a^{-17}-8z^{2}a^{-8}+18z^{2}a^{-10}+29z^{2}a^{-12}+z^{2}a^{-14}+2z^{2}a^{-18}-za^{-9}+11za^{-11}+13za^{-13}-za^{-15}-2za^{-17}+2a^{-8}-5a^{-10}-9a^{-12}-3a^{-14}$

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