K13a2516

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a2516

Polynomial invariants

Jones polynomial	Data:K13a2516/Jones Polynomial
Alexander polynomial	$-2t^{4}+13t^{3}-34t^{2}+56t-65+56t^{-1}-34t^{-2}+13t^{-3}-2t^{-4}$
Conway polynomial	Data:K13a2516/Conway Polynomial
Determinant	275
Signature	6
HOMFLY-PT polynomial	$-z^{8}a^{-6}-z^{8}a^{-8}+z^{6}a^{-4}-3z^{6}a^{-6}-3z^{6}a^{-8}+2z^{6}a^{-10}+3z^{4}a^{-4}-z^{4}a^{-6}-3z^{4}a^{-8}+6z^{4}a^{-10}-z^{4}a^{-12}+3z^{2}a^{-4}+3z^{2}a^{-6}-3z^{2}a^{-8}+4z^{2}a^{-10}-2z^{2}a^{-12}+a^{-4}+2a^{-6}-2a^{-8}$
Kauffman polynomial	$2z^{12}a^{-8}+2z^{12}a^{-10}+6z^{11}a^{-7}+14z^{11}a^{-9}+8z^{11}a^{-11}+7z^{10}a^{-6}+15z^{10}a^{-8}+22z^{10}a^{-10}+14z^{10}a^{-12}+4z^{9}a^{-5}-9z^{9}a^{-7}-28z^{9}a^{-9}+15z^{9}a^{-13}+z^{8}a^{-4}-23z^{8}a^{-6}-71z^{8}a^{-8}-87z^{8}a^{-10}-28z^{8}a^{-12}+12z^{8}a^{-14}-15z^{7}a^{-5}-24z^{7}a^{-7}-20z^{7}a^{-9}-48z^{7}a^{-11}-29z^{7}a^{-13}+8z^{7}a^{-15}-4z^{6}a^{-4}+19z^{6}a^{-6}+85z^{6}a^{-8}+106z^{6}a^{-10}+23z^{6}a^{-12}-17z^{6}a^{-14}+4z^{6}a^{-16}+18z^{5}a^{-5}+46z^{5}a^{-7}+65z^{5}a^{-9}+74z^{5}a^{-11}+26z^{5}a^{-13}-10z^{5}a^{-15}+z^{5}a^{-17}+6z^{4}a^{-4}-4z^{4}a^{-6}-44z^{4}a^{-8}-57z^{4}a^{-10}-11z^{4}a^{-12}+7z^{4}a^{-14}-5z^{4}a^{-16}-8z^{3}a^{-5}-27z^{3}a^{-7}-44z^{3}a^{-9}-40z^{3}a^{-11}-11z^{3}a^{-13}+3z^{3}a^{-15}-z^{3}a^{-17}-4z^{2}a^{-4}+3z^{2}a^{-6}+13z^{2}a^{-8}+11z^{2}a^{-10}+5z^{2}a^{-12}+z^{2}a^{-14}+z^{2}a^{-16}+za^{-5}+8za^{-7}+10za^{-9}+5za^{-11}+2za^{-13}+a^{-4}-2a^{-6}-2a^{-8}$

Modifying This Page

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