K13a1067

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a1067

Polynomial invariants

Jones polynomial	Data:K13a1067/Jones Polynomial
Alexander polynomial	$-2t^{4}+12t^{3}-38t^{2}+74t-91+74t^{-1}-38t^{-2}+12t^{-3}-2t^{-4}$
Conway polynomial	Data:K13a1067/Conway Polynomial
Determinant	343
Signature	2
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}+a^{2}z^{6}-3z^{6}a^{-2}+2z^{6}a^{-4}-4z^{6}+3a^{2}z^{4}-5z^{4}a^{-2}+5z^{4}a^{-4}-z^{4}a^{-6}-8z^{4}+4a^{2}z^{2}-4z^{2}a^{-2}+6z^{2}a^{-4}-z^{2}a^{-6}-7z^{2}+2a^{2}-a^{-2}+3a^{-4}-a^{-6}-2$
Kauffman polynomial	$3z^{12}a^{-2}+3z^{12}+8az^{11}+20z^{11}a^{-1}+12z^{11}a^{-3}+8a^{2}z^{10}+30z^{10}a^{-2}+22z^{10}a^{-4}+16z^{10}+4a^{3}z^{9}-19az^{9}-44z^{9}a^{-1}+5z^{9}a^{-3}+26z^{9}a^{-5}+a^{4}z^{8}-29a^{2}z^{8}-100z^{8}a^{-2}-27z^{8}a^{-4}+22z^{8}a^{-6}-81z^{8}-15a^{3}z^{7}+2az^{7}+6z^{7}a^{-1}-63z^{7}a^{-3}-39z^{7}a^{-5}+13z^{7}a^{-7}-4a^{4}z^{6}+36a^{2}z^{6}+90z^{6}a^{-2}-13z^{6}a^{-4}-30z^{6}a^{-6}+5z^{6}a^{-8}+108z^{6}+18a^{3}z^{5}+15az^{5}+27z^{5}a^{-1}+56z^{5}a^{-3}+13z^{5}a^{-5}-12z^{5}a^{-7}+z^{5}a^{-9}+5a^{4}z^{4}-23a^{2}z^{4}-26z^{4}a^{-2}+27z^{4}a^{-4}+14z^{4}a^{-6}-2z^{4}a^{-8}-65z^{4}-8a^{3}z^{3}-7az^{3}-10z^{3}a^{-1}-11z^{3}a^{-3}+3z^{3}a^{-5}+3z^{3}a^{-7}-2a^{4}z^{2}+10a^{2}z^{2}-z^{2}a^{-2}-13z^{2}a^{-4}-4z^{2}a^{-6}+20z^{2}+a^{3}z-za^{-1}-za^{-3}-2za^{-5}-za^{-7}-2a^{2}+a^{-2}+3a^{-4}+a^{-6}-2$

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