K13n4748

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n4748

Polynomial invariants

Jones polynomial	Data:K13n4748/Jones Polynomial
Alexander polynomial	$-t^{5}+4t^{4}-8t^{3}+12t^{2}-17t+21-17t^{-1}+12t^{-2}-8t^{-3}+4t^{-4}-t^{-5}$
Conway polynomial	Data:K13n4748/Conway Polynomial
Determinant	105
Signature	0
HOMFLY-PT polynomial	$-z^{10}+a^{2}z^{8}+z^{8}a^{-2}-8z^{8}+6a^{2}z^{6}+7z^{6}a^{-2}-24z^{6}+12a^{2}z^{4}+17z^{4}a^{-2}-z^{4}a^{-4}-34z^{4}+9a^{2}z^{2}+16z^{2}a^{-2}-3z^{2}a^{-4}-24z^{2}+3a^{2}+5a^{-2}-a^{-4}-6$
Kauffman polynomial	$2az^{11}+2z^{11}a^{-1}+4a^{2}z^{10}+4z^{10}a^{-2}+8z^{10}+4a^{3}z^{9}-4az^{9}-6z^{9}a^{-1}+2z^{9}a^{-3}+4a^{4}z^{8}-14a^{2}z^{8}-22z^{8}a^{-2}-40z^{8}+3a^{5}z^{7}-9a^{3}z^{7}-2az^{7}+3z^{7}a^{-1}-7z^{7}a^{-3}+a^{6}z^{6}-10a^{4}z^{6}+23a^{2}z^{6}+53z^{6}a^{-2}+4z^{6}a^{-4}+83z^{6}-9a^{5}z^{5}+3a^{3}z^{5}+14az^{5}+13z^{5}a^{-1}+12z^{5}a^{-3}+z^{5}a^{-5}-3a^{6}z^{4}+4a^{4}z^{4}-21a^{2}z^{4}-57z^{4}a^{-2}-11z^{4}a^{-4}-74z^{4}+6a^{5}z^{3}-6az^{3}-9z^{3}a^{-1}-12z^{3}a^{-3}-3z^{3}a^{-5}+2a^{6}z^{2}-a^{4}z^{2}+10a^{2}z^{2}+27z^{2}a^{-2}+5z^{2}a^{-4}+35z^{2}-a^{5}z-a^{3}z+2za^{-1}+3za^{-3}+za^{-5}-3a^{2}-5a^{-2}-a^{-4}-6$

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