K13n1533

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n1533

Polynomial invariants

Jones polynomial	Data:K13n1533/Jones Polynomial
Alexander polynomial	$t^{3}+t^{2}-5t+7-5t^{-1}+t^{-2}+t^{-3}$
Conway polynomial	Data:K13n1533/Conway Polynomial
Determinant	17
Signature	-4
HOMFLY-PT polynomial	$-z^{2}a^{12}-a^{12}+z^{4}a^{10}+2z^{2}a^{10}+a^{10}-2z^{2}a^{8}-2a^{8}+z^{6}a^{6}+6z^{4}a^{6}+9z^{2}a^{6}+3a^{6}$
Kauffman polynomial	$z^{7}a^{15}-5z^{5}a^{15}+7z^{3}a^{15}-3za^{15}+2z^{8}a^{14}-10z^{6}a^{14}+13z^{4}a^{14}-4z^{2}a^{14}+z^{9}a^{13}-3z^{7}a^{13}-3z^{5}a^{13}+9z^{3}a^{13}-2za^{13}+2z^{8}a^{12}-8z^{6}a^{12}+5z^{4}a^{12}+3z^{2}a^{12}-a^{12}+2z^{7}a^{11}-8z^{5}a^{11}+7z^{3}a^{11}-2za^{11}-z^{8}a^{10}+7z^{6}a^{10}-13z^{4}a^{10}+5z^{2}a^{10}-a^{10}-z^{9}a^{9}+6z^{7}a^{9}-10z^{5}a^{9}+5z^{3}a^{9}-2za^{9}-z^{8}a^{8}+6z^{6}a^{8}-11z^{4}a^{8}+8z^{2}a^{8}-2a^{8}+za^{7}+z^{6}a^{6}-6z^{4}a^{6}+10z^{2}a^{6}-3a^{6}$

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