K13a3104

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a3104

Polynomial invariants

Jones polynomial	Data:K13a3104/Jones Polynomial
Alexander polynomial	$8t^{2}-22t+29-22t^{-1}+8t^{-2}$
Conway polynomial	Data:K13a3104/Conway Polynomial
Determinant	89
Signature	4
HOMFLY-PT polynomial	$z^{4}a^{-4}+2z^{4}a^{-6}+2z^{4}a^{-8}+2z^{4}a^{-10}+z^{4}a^{-12}+2z^{2}a^{-4}+3z^{2}a^{-6}+2z^{2}a^{-8}+3z^{2}a^{-10}+z^{2}a^{-12}-z^{2}a^{-14}+a^{-4}+a^{-10}-a^{-14}$
Kauffman polynomial	$z^{12}a^{-12}+z^{12}a^{-14}+2z^{11}a^{-11}+4z^{11}a^{-13}+2z^{11}a^{-15}+3z^{10}a^{-10}-2z^{10}a^{-12}-3z^{10}a^{-14}+2z^{10}a^{-16}+3z^{9}a^{-9}-6z^{9}a^{-11}-21z^{9}a^{-13}-11z^{9}a^{-15}+z^{9}a^{-17}+3z^{8}a^{-8}-11z^{8}a^{-10}-5z^{8}a^{-12}-4z^{8}a^{-14}-13z^{8}a^{-16}+3z^{7}a^{-7}-7z^{7}a^{-9}+33z^{7}a^{-13}+16z^{7}a^{-15}-7z^{7}a^{-17}+3z^{6}a^{-6}-4z^{6}a^{-8}+17z^{6}a^{-10}+9z^{6}a^{-12}+12z^{6}a^{-14}+27z^{6}a^{-16}+2z^{5}a^{-5}-2z^{5}a^{-7}+7z^{5}a^{-9}+11z^{5}a^{-11}-19z^{5}a^{-13}-3z^{5}a^{-15}+16z^{5}a^{-17}+z^{4}a^{-4}-3z^{4}a^{-6}+3z^{4}a^{-8}-17z^{4}a^{-10}-4z^{4}a^{-12}-z^{4}a^{-14}-21z^{4}a^{-16}-2z^{3}a^{-5}-4z^{3}a^{-9}-13z^{3}a^{-11}+2z^{3}a^{-13}-5z^{3}a^{-15}-14z^{3}a^{-17}-2z^{2}a^{-4}+z^{2}a^{-6}-z^{2}a^{-8}+7z^{2}a^{-10}+z^{2}a^{-12}-5z^{2}a^{-14}+5z^{2}a^{-16}+4za^{-11}+2za^{-13}+2za^{-15}+4za^{-17}+a^{-4}-a^{-10}+a^{-14}$

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