K13a3092

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a3092

Polynomial invariants

Jones polynomial	Data:K13a3092/Jones Polynomial
Alexander polynomial	$2t^{5}-4t^{4}+5t^{3}-5t^{2}+5t-5+5t^{-1}-5t^{-2}+5t^{-3}-4t^{-4}+2t^{-5}$
Conway polynomial	Data:K13a3092/Conway Polynomial
Determinant	47
Signature	10
HOMFLY-PT polynomial	$z^{10}a^{-10}+z^{10}a^{-12}+9z^{8}a^{-10}+8z^{8}a^{-12}-z^{8}a^{-14}+29z^{6}a^{-10}+21z^{6}a^{-12}-7z^{6}a^{-14}+41z^{4}a^{-10}+19z^{4}a^{-12}-15z^{4}a^{-14}+25z^{2}a^{-10}+z^{2}a^{-12}-10z^{2}a^{-14}+5a^{-10}-3a^{-12}-a^{-14}$
Kauffman polynomial	$z^{12}a^{-12}+z^{12}a^{-14}+z^{11}a^{-11}+3z^{11}a^{-13}+2z^{11}a^{-15}+z^{10}a^{-10}-7z^{10}a^{-12}-6z^{10}a^{-14}+2z^{10}a^{-16}-7z^{9}a^{-11}-22z^{9}a^{-13}-13z^{9}a^{-15}+2z^{9}a^{-17}-9z^{8}a^{-10}+15z^{8}a^{-12}+12z^{8}a^{-14}-10z^{8}a^{-16}+2z^{8}a^{-18}+14z^{7}a^{-11}+54z^{7}a^{-13}+30z^{7}a^{-15}-8z^{7}a^{-17}+2z^{7}a^{-19}+29z^{6}a^{-10}-9z^{6}a^{-12}-15z^{6}a^{-14}+15z^{6}a^{-16}-6z^{6}a^{-18}+2z^{6}a^{-20}-4z^{5}a^{-11}-53z^{5}a^{-13}-34z^{5}a^{-15}+9z^{5}a^{-17}-4z^{5}a^{-19}+2z^{5}a^{-21}-41z^{4}a^{-10}-4z^{4}a^{-12}+18z^{4}a^{-14}-10z^{4}a^{-16}+5z^{4}a^{-18}-2z^{4}a^{-20}+2z^{4}a^{-22}-9z^{3}a^{-11}+19z^{3}a^{-13}+18z^{3}a^{-15}-5z^{3}a^{-17}+3z^{3}a^{-19}-z^{3}a^{-21}+z^{3}a^{-23}+25z^{2}a^{-10}+7z^{2}a^{-12}-10z^{2}a^{-14}+3z^{2}a^{-16}-2z^{2}a^{-18}+z^{2}a^{-20}-2z^{2}a^{-22}+4za^{-11}-za^{-13}-2za^{-15}+za^{-17}-za^{-19}-za^{-23}-5a^{-10}-3a^{-12}+a^{-14}$

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