K14a12759

Knot presentations

Dowker-Thistlethwaite code

6 8 10 18 16 22 24 4 2 28 26 12 14 20

Notes on presentations of K14a12759

Polynomial invariants

Jones polynomial	Data:K14a12759/Jones Polynomial
Alexander polynomial	$3t^{4}-18t^{3}+48t^{2}-74t+83-74t^{-1}+48t^{-2}-18t^{-3}+3t^{-4}$
Conway polynomial	Data:K14a12759/Conway Polynomial
Determinant	Data:K14a12759/Determinant
Signature	Data:K14a12759/Signature
HOMFLY-PT polynomial	$z^{8}a^{-4}+z^{8}a^{-6}+z^{8}a^{-8}-z^{6}a^{-2}+4z^{6}a^{-4}+z^{6}a^{-6}+3z^{6}a^{-8}-z^{6}a^{-10}-3z^{4}a^{-2}+7z^{4}a^{-4}-5z^{4}a^{-6}+3z^{4}a^{-8}-2z^{4}a^{-10}-z^{2}a^{-2}+8z^{2}a^{-4}-5z^{2}a^{-6}+2z^{2}a^{-8}+2a^{-4}-a^{-8}$
Kauffman polynomial	$3z^{13}a^{-7}+3z^{13}a^{-9}+7z^{12}a^{-6}+16z^{12}a^{-8}+9z^{12}a^{-10}+8z^{11}a^{-5}+2z^{11}a^{-7}+7z^{11}a^{-9}+13z^{11}a^{-11}+8z^{10}a^{-4}-21z^{10}a^{-6}-66z^{10}a^{-8}-23z^{10}a^{-10}+14z^{10}a^{-12}+7z^{9}a^{-3}-19z^{9}a^{-5}-31z^{9}a^{-7}-50z^{9}a^{-9}-34z^{9}a^{-11}+11z^{9}a^{-13}+4z^{8}a^{-2}-20z^{8}a^{-4}+33z^{8}a^{-6}+128z^{8}a^{-8}+28z^{8}a^{-10}-38z^{8}a^{-12}+5z^{8}a^{-14}+z^{7}a^{-1}-23z^{7}a^{-3}+4z^{7}a^{-5}+72z^{7}a^{-7}+102z^{7}a^{-9}+25z^{7}a^{-11}-32z^{7}a^{-13}+z^{7}a^{-15}-14z^{6}a^{-2}+2z^{6}a^{-4}-30z^{6}a^{-6}-105z^{6}a^{-8}-23z^{6}a^{-10}+23z^{6}a^{-12}-13z^{6}a^{-14}-3z^{5}a^{-1}+20z^{5}a^{-3}+24z^{5}a^{-5}-48z^{5}a^{-7}-79z^{5}a^{-9}-5z^{5}a^{-11}+23z^{5}a^{-13}-2z^{5}a^{-15}+12z^{4}a^{-2}+22z^{4}a^{-4}+22z^{4}a^{-6}+26z^{4}a^{-8}+10z^{4}a^{-10}+2z^{4}a^{-12}+6z^{4}a^{-14}+z^{3}a^{-1}-6z^{3}a^{-3}-18z^{3}a^{-5}-3z^{3}a^{-7}+14z^{3}a^{-9}+3z^{3}a^{-11}-3z^{3}a^{-13}-3z^{2}a^{-2}-13z^{2}a^{-4}-7z^{2}a^{-6}+4z^{2}a^{-8}-z^{2}a^{-12}+za^{-3}+3za^{-5}+6za^{-7}+2za^{-9}-3za^{-11}-za^{-13}+2a^{-4}-a^{-8}$

Modifying This Page

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