K13n4125

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13n4125

Polynomial invariants

Jones polynomial	Data:K13n4125/Jones Polynomial
Alexander polynomial	$-3t^{3}+19t^{2}-43t+55-43t^{-1}+19t^{-2}-3t^{-3}$
Conway polynomial	Data:K13n4125/Conway Polynomial
Determinant	185
Signature	4
HOMFLY-PT polynomial	$-z^{6}a^{-6}-2z^{6}a^{-8}+2z^{4}a^{-4}+z^{4}a^{-6}-5z^{4}a^{-8}+3z^{4}a^{-10}+3z^{2}a^{-4}+5z^{2}a^{-6}-6z^{2}a^{-8}+5z^{2}a^{-10}-z^{2}a^{-12}+a^{-4}+2a^{-6}-3a^{-8}+2a^{-10}-a^{-12}$
Kauffman polynomial	$2z^{11}a^{-9}+2z^{11}a^{-11}+5z^{10}a^{-8}+11z^{10}a^{-10}+6z^{10}a^{-12}+5z^{9}a^{-7}+9z^{9}a^{-9}+11z^{9}a^{-11}+7z^{9}a^{-13}+3z^{8}a^{-6}-z^{8}a^{-8}-16z^{8}a^{-10}-8z^{8}a^{-12}+4z^{8}a^{-14}+z^{7}a^{-5}+2z^{7}a^{-7}-15z^{7}a^{-9}-36z^{7}a^{-11}-19z^{7}a^{-13}+z^{7}a^{-15}+6z^{6}a^{-6}+5z^{6}a^{-8}-11z^{6}a^{-12}-12z^{6}a^{-14}+5z^{5}a^{-5}-4z^{5}a^{-7}-2z^{5}a^{-9}+23z^{5}a^{-11}+13z^{5}a^{-13}-3z^{5}a^{-15}+3z^{4}a^{-4}-8z^{4}a^{-6}-20z^{4}a^{-8}-7z^{4}a^{-10}+13z^{4}a^{-12}+11z^{4}a^{-14}-2z^{3}a^{-5}-z^{3}a^{-7}-5z^{3}a^{-11}-z^{3}a^{-13}+3z^{3}a^{-15}-3z^{2}a^{-4}+7z^{2}a^{-6}+14z^{2}a^{-8}+8z^{2}a^{-10}+z^{2}a^{-12}-3z^{2}a^{-14}+2za^{-7}+za^{-9}+za^{-11}+za^{-13}-za^{-15}+a^{-4}-2a^{-6}-3a^{-8}-2a^{-10}-a^{-12}$

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