K13n921

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n921

Polynomial invariants

Jones polynomial	Data:K13n921/Jones Polynomial
Alexander polynomial	$-2t^{4}+9t^{3}-21t^{2}+35t-41+35t^{-1}-21t^{-2}+9t^{-3}-2t^{-4}$
Conway polynomial	Data:K13n921/Conway Polynomial
Determinant	175
Signature	2
HOMFLY-PT polynomial	$-2z^{8}a^{-4}+2z^{6}a^{-2}-12z^{6}a^{-4}+3z^{6}a^{-6}+8z^{4}a^{-2}-27z^{4}a^{-4}+13z^{4}a^{-6}-z^{4}a^{-8}+11z^{2}a^{-2}-26z^{2}a^{-4}+18z^{2}a^{-6}-3z^{2}a^{-8}+5a^{-2}-9a^{-4}+7a^{-6}-2a^{-8}$
Kauffman polynomial	$2z^{11}a^{-5}+2z^{11}a^{-7}+6z^{10}a^{-4}+12z^{10}a^{-6}+6z^{10}a^{-8}+6z^{9}a^{-3}+10z^{9}a^{-5}+11z^{9}a^{-7}+7z^{9}a^{-9}+3z^{8}a^{-2}-11z^{8}a^{-4}-29z^{8}a^{-6}-11z^{8}a^{-8}+4z^{8}a^{-10}+z^{7}a^{-1}-7z^{7}a^{-3}-33z^{7}a^{-5}-48z^{7}a^{-7}-22z^{7}a^{-9}+z^{7}a^{-11}+5z^{6}a^{-2}+27z^{6}a^{-4}+30z^{6}a^{-6}-5z^{6}a^{-8}-13z^{6}a^{-10}+5z^{5}a^{-1}+10z^{5}a^{-3}+39z^{5}a^{-5}+58z^{5}a^{-7}+21z^{5}a^{-9}-3z^{5}a^{-11}-11z^{4}a^{-2}-47z^{4}a^{-4}-34z^{4}a^{-6}+11z^{4}a^{-8}+12z^{4}a^{-10}+3z^{4}-5z^{3}a^{-1}-8z^{3}a^{-3}-28z^{3}a^{-5}-36z^{3}a^{-7}-9z^{3}a^{-9}+2z^{3}a^{-11}+12z^{2}a^{-2}+37z^{2}a^{-4}+24z^{2}a^{-6}-z^{2}a^{-8}-3z^{2}a^{-10}-3z^{2}+za^{-1}+4za^{-3}+8za^{-5}+8za^{-7}+3za^{-9}-5a^{-2}-9a^{-4}-7a^{-6}-2a^{-8}$

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