K14a17886

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17886

Polynomial invariants

Jones polynomial	Data:K14a17886/Jones Polynomial
Alexander polynomial	$6t^{3}-34t^{2}+86t-115+86t^{-1}-34t^{-2}+6t^{-3}$
Conway polynomial	Data:K14a17886/Conway Polynomial
Determinant	Data:K14a17886/Determinant
Signature	Data:K14a17886/Signature
HOMFLY-PT polynomial	$z^{6}a^{-2}+2z^{6}a^{-4}+2z^{6}a^{-6}+z^{6}a^{-8}+z^{4}a^{-4}+2z^{4}a^{-6}+z^{4}a^{-8}-z^{4}a^{-10}-z^{4}+z^{2}a^{-2}+2z^{2}a^{-6}+2z^{2}a^{-8}-z^{2}a^{-10}+a^{-2}+a^{-8}-a^{-10}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +10 z^{12} $Failed^{-1} +18 z^{12} $Failed^{-1} +8 z^{12} $Failed^{-1} +17 z^{11} $Failed^{-1} +16 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +21 z^{10} $Failed^{-1} -13 z^{10} $Failed^{-1} -72 z^{10} $Failed^{-1} -34 z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} +22 z^9 $Failed^{-1} -35 z^9 $Failed^{-1} -99 z^9 $Failed^{-1} -84 z^9 $Failed^{-1} -41 z^9 $Failed^{-1} +z^9 $Failed^{-1} +19 z^8 $Failed^{-1} -36 z^8 $Failed^{-1} -29 z^8 $Failed^{-1} +84 z^8 $Failed^{-1} +38 z^8 $Failed^{-1} -20 z^8 $Failed^{-1} +12 z^7 $Failed^{-1} -32 z^7 $Failed^{-1} +18 z^7 $Failed^{-1} +156 z^7 $Failed^{-1} +168 z^7 $Failed^{-1} +69 z^7 $Failed^{-1} -5 z^7 $Failed^{-1} -25 z^6 $Failed^{-1} +11 z^6 $Failed^{-1} +53 z^6 $Failed^{-1} -27 z^6 $Failed^{-1} -9 z^6 $Failed^{-1} +30 z^6 $Failed^{-1} +5 z^6+\text{QuantumGroups$\grave{ }$a} z^5-12 z^5 $Failed^{-1} +6 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} -102 z^5 $Failed^{-1} -137 z^5 $Failed^{-1} -54 z^5 $Failed^{-1} +7 z^5 $Failed^{-1} +7 z^4 $Failed^{-1} +z^4 $Failed^{-1} -26 z^4 $Failed^{-1} -z^4 $Failed^{-1} -z^4 $Failed^{-1} -17 z^4 $Failed^{-1} -3 z^4+2 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} +27 z^3 $Failed^{-1} +51 z^3 $Failed^{-1} +24 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -z $Failed^{-1} -3 z $Failed^{-1} -7 z $Failed^{-1} -5 z $Failed^{-1} - $Failed^{-1} + $Failed^{-1} + $Failed^{-1} }

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