K13a1448

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a1448

Polynomial invariants

Jones polynomial	Data:K13a1448/Jones Polynomial
Alexander polynomial	$t^{4}-10t^{3}+41t^{2}-91t+119-91t^{-1}+41t^{-2}-10t^{-3}+t^{-4}$
Conway polynomial	Data:K13a1448/Conway Polynomial
Determinant	405
Signature	0
HOMFLY-PT polynomial	$z^{8}-3a^{2}z^{6}-2z^{6}a^{-2}+3z^{6}+3a^{4}z^{4}-7a^{2}z^{4}-3z^{4}a^{-2}+z^{4}a^{-4}+7z^{4}-a^{6}z^{2}+5a^{4}z^{2}-8a^{2}z^{2}-2z^{2}a^{-2}+5z^{2}-a^{6}+3a^{4}-2a^{2}+a^{-2}$
Kauffman polynomial	$2a^{2}z^{12}+2z^{12}+7a^{3}z^{11}+17az^{11}+10z^{11}a^{-1}+10a^{4}z^{10}+30a^{2}z^{10}+21z^{10}a^{-2}+41z^{10}+8a^{5}z^{9}+11a^{3}z^{9}+12az^{9}+33z^{9}a^{-1}+24z^{9}a^{-3}+4a^{6}z^{8}-14a^{4}z^{8}-69a^{2}z^{8}-12z^{8}a^{-2}+16z^{8}a^{-4}-79z^{8}+a^{7}z^{7}-18a^{5}z^{7}-58a^{3}z^{7}-107az^{7}-111z^{7}a^{-1}-37z^{7}a^{-3}+6z^{7}a^{-5}-11a^{6}z^{6}-4a^{4}z^{6}+40a^{2}z^{6}-36z^{6}a^{-2}-23z^{6}a^{-4}+z^{6}a^{-6}+21z^{6}-3a^{7}z^{5}+13a^{5}z^{5}+67a^{3}z^{5}+122az^{5}+92z^{5}a^{-1}+16z^{5}a^{-3}-5z^{5}a^{-5}+11a^{6}z^{4}+16a^{4}z^{4}+6a^{2}z^{4}+30z^{4}a^{-2}+9z^{4}a^{-4}+22z^{4}+3a^{7}z^{3}-3a^{5}z^{3}-31a^{3}z^{3}-48az^{3}-27z^{3}a^{-1}-4z^{3}a^{-3}-5a^{6}z^{2}-11a^{4}z^{2}-10a^{2}z^{2}-2z^{2}a^{-2}-6z^{2}-a^{7}z+4a^{3}z+3az+a^{6}+3a^{4}+2a^{2}-a^{-2}$

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