K14n27278

Knot presentations

Dowker-Thistlethwaite code

8 -12 14 16 20 24 -22 6 28 26 2 -4 10 18

Notes on presentations of K14n27278

Polynomial invariants

Jones polynomial	Data:K14n27278/Jones Polynomial
Alexander polynomial	$6t^{3}-23t^{2}+40t-45+40t^{-1}-23t^{-2}+6t^{-3}$
Conway polynomial	Data:K14n27278/Conway Polynomial
Determinant	Data:K14n27278/Determinant
Signature	Data:K14n27278/Signature
HOMFLY-PT polynomial	$3z^{6}a^{-2}+z^{6}a^{-4}+2z^{6}-2a^{2}z^{4}+10z^{4}a^{-2}+z^{4}a^{-4}-z^{4}a^{-6}+5z^{4}-4a^{2}z^{2}+10z^{2}a^{-2}-3z^{2}a^{-4}-2z^{2}a^{-6}+z^{2}+4a^{-2}-2a^{-4}-1$
Kauffman polynomial	$2z^{12}a^{-2}+2z^{12}+3az^{11}+9z^{11}a^{-1}+6z^{11}a^{-3}+a^{2}z^{10}+2z^{10}a^{-2}+9z^{10}a^{-4}-6z^{10}-13az^{9}-41z^{9}a^{-1}-18z^{9}a^{-3}+10z^{9}a^{-5}+2a^{2}z^{8}-26z^{8}a^{-2}-28z^{8}a^{-4}+9z^{8}a^{-6}+13z^{8}+3a^{3}z^{7}+31az^{7}+88z^{7}a^{-1}+26z^{7}a^{-3}-28z^{7}a^{-5}+6z^{7}a^{-7}-20a^{2}z^{6}+61z^{6}a^{-2}+41z^{6}a^{-4}-23z^{6}a^{-6}+3z^{6}a^{-8}-26z^{6}-12a^{3}z^{5}-56az^{5}-106z^{5}a^{-1}-15z^{5}a^{-3}+34z^{5}a^{-5}-12z^{5}a^{-7}+z^{5}a^{-9}+28a^{2}z^{4}-68z^{4}a^{-2}-24z^{4}a^{-4}+25z^{4}a^{-6}-5z^{4}a^{-8}+14z^{4}+14a^{3}z^{3}+46az^{3}+51z^{3}a^{-1}-10z^{3}a^{-5}+7z^{3}a^{-7}-2z^{3}a^{-9}-10a^{2}z^{2}+27z^{2}a^{-2}+9z^{2}a^{-4}-7z^{2}a^{-6}+z^{2}-4a^{3}z-10az-7za^{-1}+za^{-3}+za^{-5}-za^{-7}-4a^{-2}-2a^{-4}-1$

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