K13a1653

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a1653

Polynomial invariants

Jones polynomial	Data:K13a1653/Jones Polynomial
Alexander polynomial	$-4t^{3}+26t^{2}-66t+89-66t^{-1}+26t^{-2}-4t^{-3}$
Conway polynomial	Data:K13a1653/Conway Polynomial
Determinant	281
Signature	0
HOMFLY-PT polynomial	$-2z^{6}a^{-2}-z^{6}a^{-4}-z^{6}+2a^{2}z^{4}-2z^{4}a^{-2}-z^{4}a^{-4}+z^{4}a^{-6}+2z^{4}-a^{4}z^{2}-2z^{2}a^{-4}+z^{2}a^{-6}+4z^{2}-a^{2}+a^{-2}-a^{-4}+2$
Kauffman polynomial	$2z^{12}a^{-2}+2z^{12}a^{-4}+7z^{11}a^{-1}+13z^{11}a^{-3}+6z^{11}a^{-5}+18z^{10}a^{-2}+12z^{10}a^{-4}+7z^{10}a^{-6}+13z^{10}+16az^{9}+8z^{9}a^{-1}-26z^{9}a^{-3}-14z^{9}a^{-5}+4z^{9}a^{-7}+14a^{2}z^{8}-54z^{8}a^{-2}-58z^{8}a^{-4}-28z^{8}a^{-6}+z^{8}a^{-8}-11z^{8}+9a^{3}z^{7}-23az^{7}-48z^{7}a^{-1}-2z^{7}a^{-3}-3z^{7}a^{-5}-17z^{7}a^{-7}+4a^{4}z^{6}-20a^{2}z^{6}+39z^{6}a^{-2}+74z^{6}a^{-4}+38z^{6}a^{-6}-4z^{6}a^{-8}-17z^{6}+a^{5}z^{5}-11a^{3}z^{5}+11az^{5}+43z^{5}a^{-1}+19z^{5}a^{-3}+22z^{5}a^{-5}+23z^{5}a^{-7}-4a^{4}z^{4}+14a^{2}z^{4}-11z^{4}a^{-2}-44z^{4}a^{-4}-22z^{4}a^{-6}+4z^{4}a^{-8}+25z^{4}-a^{5}z^{3}+6a^{3}z^{3}-13z^{3}a^{-1}-10z^{3}a^{-3}-14z^{3}a^{-5}-10z^{3}a^{-7}+a^{4}z^{2}-5a^{2}z^{2}+3z^{2}a^{-2}+13z^{2}a^{-4}+5z^{2}a^{-6}-11z^{2}-a^{3}z-az+za^{-1}+3za^{-3}+2za^{-5}+a^{2}-a^{-2}-a^{-4}+2$

Modifying This Page

Read me first: Modifying Knot Pages See/edit the Large Knot Page master template. Back to the top.