K14n26200

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n26200

Polynomial invariants

Jones polynomial	Data:K14n26200/Jones Polynomial
Alexander polynomial	$-6t^{3}+35t^{2}-80t+103-80t^{-1}+35t^{-2}-6t^{-3}$
Conway polynomial	Data:K14n26200/Conway Polynomial
Determinant	Data:K14n26200/Determinant
Signature	Data:K14n26200/Signature
HOMFLY-PT polynomial	$-2z^{6}a^{-6}-3z^{6}a^{-8}-z^{6}a^{-10}+3z^{4}a^{-4}-z^{4}a^{-6}-5z^{4}a^{-8}+z^{4}a^{-10}+z^{4}a^{-12}+4z^{2}a^{-4}+3z^{2}a^{-6}-4z^{2}a^{-8}+3z^{2}a^{-10}+a^{-4}+2a^{-6}-3a^{-8}+2a^{-10}-a^{-12}$
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 3 z^{12} a^{-10} +3 z^{12} a^{-12} +11 z^{11} a^{-9} +20 z^{11} a^{-11} +9 z^{11} a^{-13} +19 z^{10} a^{-8} +30 z^{10} a^{-10} +21 z^{10} a^{-12} +10 z^{10} a^{-14} +19 z^9 a^{-7} +8 z^9 a^{-9} -33 z^9 a^{-11} -17 z^9 a^{-13} +5 z^9 a^{-15} +11 z^8 a^{-6} -24 z^8 a^{-8} -92 z^8 a^{-10} -94 z^8 a^{-12} -36 z^8 a^{-14} +z^8 a^{-16} +3 z^7 a^{-5} -26 z^7 a^{-7} -60 z^7 a^{-9} -31 z^7 a^{-11} -18 z^7 a^{-13} -18 z^7 a^{-15} -4 z^6 a^{-6} +7 z^6 a^{-8} +75 z^6 a^{-10} +109 z^6 a^{-12} +42 z^6 a^{-14} -3 z^6 a^{-16} +9 z^5 a^{-5} +19 z^5 a^{-7} +46 z^5 a^{-9} +66 z^5 a^{-11} +50 z^5 a^{-13} +20 z^5 a^{-15} +6 z^4 a^{-4} -13 z^4 a^{-8} -35 z^4 a^{-10} -47 z^4 a^{-12} -17 z^4 a^{-14} +2 z^4 a^{-16} -6 z^3 a^{-5} -9 z^3 a^{-7} -14 z^3 a^{-9} -30 z^3 a^{-11} -26 z^3 a^{-13} -7 z^3 a^{-15} -5 z^2 a^{-4} +3 z^2 a^{-6} +12 z^2 a^{-8} +12 z^2 a^{-10} +9 z^2 a^{-12} +z^2 a^{-14} +2 z a^{-7} +2 z a^{-9} +4 z a^{-11} +4 z a^{-13} + a^{-4} -2 a^{-6} -3 a^{-8} -2 a^{-10} - a^{-12} }

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