K14n27331

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n27331

Polynomial invariants

Jones polynomial	Data:K14n27331/Jones Polynomial
Alexander polynomial	$-3t^{3}+11t^{2}-17t+19-17t^{-1}+11t^{-2}-3t^{-3}$
Conway polynomial	Data:K14n27331/Conway Polynomial
Determinant	Data:K14n27331/Determinant
Signature	Data:K14n27331/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 z^4 a^8+2 z^2 a^8-z^6 a^6-2 z^4 a^6+z^2 a^6+a^6-2 z^6 a^4-8 z^4 a^4-9 z^2 a^4-3 a^4+2 z^4 a^2+6 z^2 a^2+3 a^2}
Kauffman 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 2 a^8 z^{12}+2 a^6 z^{12}+3 a^9 z^{11}+9 a^7 z^{11}+6 a^5 z^{11}+a^{10} z^{10}-8 a^8 z^{10}-a^6 z^{10}+8 a^4 z^{10}-21 a^9 z^9-56 a^7 z^9-30 a^5 z^9+5 a^3 z^9-7 a^{10} z^8-5 a^8 z^8-45 a^6 z^8-46 a^4 z^8+a^2 z^8+52 a^9 z^7+111 a^7 z^7+33 a^5 z^7-26 a^3 z^7+18 a^{10} z^6+49 a^8 z^6+113 a^6 z^6+79 a^4 z^6-3 a^2 z^6-55 a^9 z^5-82 a^7 z^5+4 a^5 z^5+31 a^3 z^5-20 a^{10} z^4-54 a^8 z^4-86 a^6 z^4-61 a^4 z^4-9 a^2 z^4+23 a^9 z^3+22 a^7 z^3-10 a^5 z^3-13 a^3 z^3-4 a z^3+8 a^{10} z^2+15 a^8 z^2+20 a^6 z^2+25 a^4 z^2+11 a^2 z^2-z^2-2 a^9 z-3 a^7 z+a^5 z+3 a^3 z+a z-a^6-3 a^4-3 a^2}

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