K14n25506

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n25506

Polynomial invariants

Jones polynomial	Data:K14n25506/Jones Polynomial
Alexander polynomial	$-2t^{4}+8t^{3}-19t^{2}+31t-35+31t^{-1}-19t^{-2}+8t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n25506/Conway Polynomial
Determinant	Data:K14n25506/Determinant
Signature	Data:K14n25506/Signature
HOMFLY-PT polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -a^4 z^8-a^2 z^8+a^6 z^6-5 a^4 z^6-5 a^2 z^6+z^6+4 a^6 z^4-9 a^4 z^4-10 a^2 z^4+4 z^4+5 a^6 z^2-6 a^4 z^2-10 a^2 z^2+6 z^2+2 a^6-a^4-4 a^2+4}
Kauffman polynomial	$a^{4}z^{12}+a^{2}z^{12}+4a^{5}z^{11}+5a^{3}z^{11}+az^{11}+6a^{6}z^{10}+4a^{4}z^{10}-2a^{2}z^{10}+6a^{7}z^{9}-12a^{5}z^{9}-19a^{3}z^{9}-az^{9}+5a^{8}z^{8}-19a^{6}z^{8}-23a^{4}z^{8}+7a^{2}z^{8}+6z^{8}+3a^{9}z^{7}-16a^{7}z^{7}+20a^{5}z^{7}+39a^{3}z^{7}+3az^{7}+3z^{7}a^{-1}+a^{10}z^{6}-13a^{8}z^{6}+29a^{6}z^{6}+47a^{4}z^{6}-15a^{2}z^{6}+z^{6}a^{-2}-18z^{6}-8a^{9}z^{5}+16a^{7}z^{5}-18a^{5}z^{5}-42a^{3}z^{5}-8az^{5}-8z^{5}a^{-1}-3a^{10}z^{4}+9a^{8}z^{4}-23a^{6}z^{4}-36a^{4}z^{4}+21a^{2}z^{4}-3z^{4}a^{-2}+19z^{4}+4a^{9}z^{3}-10a^{7}z^{3}+17a^{5}z^{3}+31a^{3}z^{3}+4az^{3}+4z^{3}a^{-1}+2a^{10}z^{2}-4a^{8}z^{2}+10a^{6}z^{2}+15a^{4}z^{2}-17a^{2}z^{2}+2z^{2}a^{-2}-14z^{2}+a^{7}z-6a^{5}z-10a^{3}z-3az-2a^{6}-a^{4}+4a^{2}+4$

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