K13a1942

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a1942

Polynomial invariants

Jones polynomial	Data:K13a1942/Jones Polynomial
Alexander polynomial	$6t^{3}-18t^{2}+29t-33+29t^{-1}-18t^{-2}+6t^{-3}$
Conway polynomial	Data:K13a1942/Conway Polynomial
Determinant	139
Signature	6
HOMFLY-PT polynomial	$z^{6}a^{-6}+2z^{6}a^{-8}+2z^{6}a^{-10}+z^{6}a^{-12}+4z^{4}a^{-6}+7z^{4}a^{-8}+6z^{4}a^{-10}+2z^{4}a^{-12}-z^{4}a^{-14}+4z^{2}a^{-6}+6z^{2}a^{-8}+4z^{2}a^{-10}-z^{2}a^{-12}-2z^{2}a^{-14}+a^{-6}+a^{-8}+a^{-10}-2a^{-12}$
Kauffman polynomial	$z^{12}a^{-12}+z^{12}a^{-14}+2z^{11}a^{-11}+5z^{11}a^{-13}+3z^{11}a^{-15}+3z^{10}a^{-10}+z^{10}a^{-14}+4z^{10}a^{-16}+3z^{9}a^{-9}-4z^{9}a^{-11}-22z^{9}a^{-13}-11z^{9}a^{-15}+4z^{9}a^{-17}+3z^{8}a^{-8}-9z^{8}a^{-10}-9z^{8}a^{-12}-14z^{8}a^{-14}-14z^{8}a^{-16}+3z^{8}a^{-18}+2z^{7}a^{-7}-7z^{7}a^{-9}+43z^{7}a^{-13}+19z^{7}a^{-15}-14z^{7}a^{-17}+z^{7}a^{-19}+z^{6}a^{-6}-9z^{6}a^{-8}+13z^{6}a^{-10}+27z^{6}a^{-12}+32z^{6}a^{-14}+16z^{6}a^{-16}-12z^{6}a^{-18}-6z^{5}a^{-7}+3z^{5}a^{-9}+12z^{5}a^{-11}-33z^{5}a^{-13}-21z^{5}a^{-15}+11z^{5}a^{-17}-4z^{5}a^{-19}-4z^{4}a^{-6}+8z^{4}a^{-8}-9z^{4}a^{-10}-25z^{4}a^{-12}-28z^{4}a^{-14}-12z^{4}a^{-16}+12z^{4}a^{-18}+3z^{3}a^{-7}+2z^{3}a^{-9}-7z^{3}a^{-11}+7z^{3}a^{-13}+8z^{3}a^{-15}-z^{3}a^{-17}+4z^{3}a^{-19}+4z^{2}a^{-6}-5z^{2}a^{-8}+5z^{2}a^{-10}+13z^{2}a^{-12}+5z^{2}a^{-14}+4z^{2}a^{-16}-2z^{2}a^{-18}-2za^{-9}+2za^{-11}+za^{-13}-2za^{-15}-za^{-19}-a^{-6}+a^{-8}-a^{-10}-2a^{-12}$

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