K13a2982

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K13a2982

Polynomial invariants

Jones polynomial	Data:K13a2982/Jones Polynomial
Alexander polynomial	$-3t^{4}+18t^{3}-46t^{2}+75t-87+75t^{-1}-46t^{-2}+18t^{-3}-3t^{-4}$
Conway polynomial	Data:K13a2982/Conway Polynomial
Determinant	371
Signature	6
HOMFLY-PT polynomial	$-z^{8}a^{-6}-2z^{8}a^{-8}+z^{6}a^{-4}-2z^{6}a^{-6}-8z^{6}a^{-8}+3z^{6}a^{-10}+3z^{4}a^{-4}+2z^{4}a^{-6}-11z^{4}a^{-8}+9z^{4}a^{-10}-z^{4}a^{-12}+3z^{2}a^{-4}+5z^{2}a^{-6}-7z^{2}a^{-8}+6z^{2}a^{-10}-2z^{2}a^{-12}+a^{-4}+2a^{-6}-2a^{-8}$
Kauffman polynomial	$3z^{12}a^{-8}+3z^{12}a^{-10}+8z^{11}a^{-7}+21z^{11}a^{-9}+13z^{11}a^{-11}+8z^{10}a^{-6}+21z^{10}a^{-8}+38z^{10}a^{-10}+25z^{10}a^{-12}+4z^{9}a^{-5}-12z^{9}a^{-7}-31z^{9}a^{-9}+14z^{9}a^{-11}+29z^{9}a^{-13}+z^{8}a^{-4}-25z^{8}a^{-6}-89z^{8}a^{-8}-117z^{8}a^{-10}-31z^{8}a^{-12}+23z^{8}a^{-14}-14z^{7}a^{-5}-21z^{7}a^{-7}-44z^{7}a^{-9}-96z^{7}a^{-11}-46z^{7}a^{-13}+13z^{7}a^{-15}-4z^{6}a^{-4}+25z^{6}a^{-6}+100z^{6}a^{-8}+97z^{6}a^{-10}-9z^{6}a^{-12}-30z^{6}a^{-14}+5z^{6}a^{-16}+17z^{5}a^{-5}+45z^{5}a^{-7}+86z^{5}a^{-9}+95z^{5}a^{-11}+25z^{5}a^{-13}-11z^{5}a^{-15}+z^{5}a^{-17}+6z^{4}a^{-4}-11z^{4}a^{-6}-47z^{4}a^{-8}-30z^{4}a^{-10}+16z^{4}a^{-12}+14z^{4}a^{-14}-2z^{4}a^{-16}-8z^{3}a^{-5}-27z^{3}a^{-7}-42z^{3}a^{-9}-33z^{3}a^{-11}-7z^{3}a^{-13}+3z^{3}a^{-15}-4z^{2}a^{-4}+5z^{2}a^{-6}+13z^{2}a^{-8}+4z^{2}a^{-10}-2z^{2}a^{-12}-2z^{2}a^{-14}+za^{-5}+7za^{-7}+7za^{-9}+2za^{-11}+za^{-13}+a^{-4}-2a^{-6}-2a^{-8}$

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