K13a2979

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a2979

Polynomial invariants

Jones polynomial	Data:K13a2979/Jones Polynomial
Alexander polynomial	$-5t^{3}+28t^{2}-62t+79-62t^{-1}+28t^{-2}-5t^{-3}$
Conway polynomial	Data:K13a2979/Conway Polynomial
Determinant	269
Signature	4
HOMFLY-PT polynomial	$-z^{6}a^{-4}-2z^{6}a^{-6}-2z^{6}a^{-8}+z^{4}a^{-2}-z^{4}a^{-4}-2z^{4}a^{-6}-3z^{4}a^{-8}+3z^{4}a^{-10}+2z^{2}a^{-2}+z^{2}a^{-6}-z^{2}a^{-8}+4z^{2}a^{-10}-z^{2}a^{-12}+a^{-2}+a^{-10}-a^{-12}$
Kauffman polynomial	$2z^{12}a^{-8}+2z^{12}a^{-10}+5z^{11}a^{-7}+12z^{11}a^{-9}+7z^{11}a^{-11}+6z^{10}a^{-6}+9z^{10}a^{-8}+14z^{10}a^{-10}+11z^{10}a^{-12}+6z^{9}a^{-5}-3z^{9}a^{-7}-25z^{9}a^{-9}-7z^{9}a^{-11}+9z^{9}a^{-13}+5z^{8}a^{-4}-3z^{8}a^{-6}-25z^{8}a^{-8}-53z^{8}a^{-10}-32z^{8}a^{-12}+4z^{8}a^{-14}+3z^{7}a^{-3}-5z^{7}a^{-5}+4z^{7}a^{-7}+18z^{7}a^{-9}-23z^{7}a^{-11}-28z^{7}a^{-13}+z^{7}a^{-15}+z^{6}a^{-2}-8z^{6}a^{-4}-6z^{6}a^{-6}+25z^{6}a^{-8}+65z^{6}a^{-10}+32z^{6}a^{-12}-11z^{6}a^{-14}-7z^{5}a^{-3}-6z^{5}a^{-5}-12z^{5}a^{-7}-4z^{5}a^{-9}+41z^{5}a^{-11}+29z^{5}a^{-13}-3z^{5}a^{-15}-3z^{4}a^{-2}+2z^{4}a^{-4}+6z^{4}a^{-6}-8z^{4}a^{-8}-38z^{4}a^{-10}-22z^{4}a^{-12}+7z^{4}a^{-14}+5z^{3}a^{-3}+8z^{3}a^{-5}+12z^{3}a^{-7}+3z^{3}a^{-9}-26z^{3}a^{-11}-18z^{3}a^{-13}+2z^{3}a^{-15}+3z^{2}a^{-2}+z^{2}a^{-4}-2z^{2}a^{-6}+z^{2}a^{-8}+11z^{2}a^{-10}+9z^{2}a^{-12}-z^{2}a^{-14}-za^{-3}-3za^{-5}-3za^{-7}-za^{-9}+5za^{-11}+5za^{-13}-a^{-2}-a^{-10}-a^{-12}$

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