K13n429

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n429

Polynomial invariants

Jones polynomial	Data:K13n429/Jones Polynomial
Alexander polynomial	$t^{4}+t^{3}-12t^{2}+30t-39+30t^{-1}-12t^{-2}+t^{-3}+t^{-4}$
Conway polynomial	Data:K13n429/Conway Polynomial
Determinant	123
Signature	6
HOMFLY-PT polynomial	$z^{8}a^{-8}+8z^{6}a^{-8}+z^{6}a^{-10}+19z^{4}a^{-8}-5z^{4}a^{-12}+18z^{2}a^{-8}-4z^{2}a^{-10}-11z^{2}a^{-12}+4z^{2}a^{-14}+6a^{-8}-3a^{-10}-6a^{-12}+5a^{-14}-a^{-16}$
Kauffman polynomial	$z^{11}a^{-13}+z^{11}a^{-15}+4z^{10}a^{-12}+8z^{10}a^{-14}+4z^{10}a^{-16}+3z^{9}a^{-11}+10z^{9}a^{-13}+13z^{9}a^{-15}+6z^{9}a^{-17}+z^{8}a^{-8}-z^{8}a^{-10}-16z^{8}a^{-12}-20z^{8}a^{-14}-2z^{8}a^{-16}+4z^{8}a^{-18}-z^{7}a^{-9}-17z^{7}a^{-11}-56z^{7}a^{-13}-60z^{7}a^{-15}-19z^{7}a^{-17}+z^{7}a^{-19}-8z^{6}a^{-8}+2z^{6}a^{-10}+28z^{6}a^{-12}+2z^{6}a^{-14}-30z^{6}a^{-16}-14z^{6}a^{-18}+42z^{5}a^{-11}+107z^{5}a^{-13}+84z^{5}a^{-15}+16z^{5}a^{-17}-3z^{5}a^{-19}+19z^{4}a^{-8}+8z^{4}a^{-10}-18z^{4}a^{-12}+20z^{4}a^{-14}+41z^{4}a^{-16}+14z^{4}a^{-18}+7z^{3}a^{-9}-31z^{3}a^{-11}-88z^{3}a^{-13}-61z^{3}a^{-15}-9z^{3}a^{-17}+2z^{3}a^{-19}-18z^{2}a^{-8}-10z^{2}a^{-10}+13z^{2}a^{-12}-7z^{2}a^{-14}-17z^{2}a^{-16}-5z^{2}a^{-18}-6za^{-9}+7za^{-11}+29za^{-13}+20za^{-15}+4za^{-17}+6a^{-8}+3a^{-10}-6a^{-12}-5a^{-14}-a^{-16}$

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