K13n2049

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n2049

Polynomial invariants

Jones polynomial	Data:K13n2049/Jones Polynomial
Alexander polynomial	$t^{4}-6t^{3}+21t^{2}-41t+51-41t^{-1}+21t^{-2}-6t^{-3}+t^{-4}$
Conway polynomial	Data:K13n2049/Conway Polynomial
Determinant	189
Signature	4
HOMFLY-PT polynomial	$z^{8}a^{-6}-z^{6}a^{-4}+5z^{6}a^{-6}-2z^{6}a^{-8}-2z^{4}a^{-4}+12z^{4}a^{-6}-6z^{4}a^{-8}+z^{4}a^{-10}-z^{2}a^{-4}+13z^{2}a^{-6}-8z^{2}a^{-8}+z^{2}a^{-10}+5a^{-6}-5a^{-8}+a^{-10}$
Kauffman polynomial	$2z^{11}a^{-7}+2z^{11}a^{-9}+4z^{10}a^{-6}+12z^{10}a^{-8}+8z^{10}a^{-10}+2z^{9}a^{-5}+5z^{9}a^{-7}+16z^{9}a^{-9}+13z^{9}a^{-11}-11z^{8}a^{-6}-27z^{8}a^{-8}-5z^{8}a^{-10}+11z^{8}a^{-12}-2z^{7}a^{-5}-19z^{7}a^{-7}-48z^{7}a^{-9}-26z^{7}a^{-11}+5z^{7}a^{-13}+5z^{6}a^{-4}+31z^{6}a^{-6}+34z^{6}a^{-8}-15z^{6}a^{-10}-22z^{6}a^{-12}+z^{6}a^{-14}+z^{5}a^{-3}+10z^{5}a^{-5}+39z^{5}a^{-7}+50z^{5}a^{-9}+12z^{5}a^{-11}-8z^{5}a^{-13}-8z^{4}a^{-4}-35z^{4}a^{-6}-27z^{4}a^{-8}+10z^{4}a^{-10}+9z^{4}a^{-12}-z^{4}a^{-14}-2z^{3}a^{-3}-14z^{3}a^{-5}-34z^{3}a^{-7}-27z^{3}a^{-9}-3z^{3}a^{-11}+2z^{3}a^{-13}+3z^{2}a^{-4}+18z^{2}a^{-6}+16z^{2}a^{-8}-z^{2}a^{-12}+za^{-3}+4za^{-5}+11za^{-7}+9za^{-9}+za^{-11}-5a^{-6}-5a^{-8}-a^{-10}$

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