K14a6943

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6943

Polynomial invariants

Jones polynomial	Data:K14a6943/Jones Polynomial
Alexander polynomial	$-4t^{4}+17t^{3}-39t^{2}+63t-73+63t^{-1}-39t^{-2}+17t^{-3}-4t^{-4}$
Conway polynomial	Data:K14a6943/Conway Polynomial
Determinant	Data:K14a6943/Determinant
Signature	Data:K14a6943/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-z^{8}a^{-6}-4z^{6}a^{-2}-10z^{6}a^{-4}-3z^{6}a^{-6}+z^{6}a^{-8}+z^{6}-5z^{4}a^{-2}-19z^{4}a^{-4}+3z^{4}a^{-8}+4z^{4}-z^{2}a^{-2}-16z^{2}a^{-4}+6z^{2}a^{-6}+2z^{2}a^{-8}+5z^{2}+a^{-2}-5a^{-4}+3a^{-6}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +3 z^{12} $Failed^{-1} +7 z^{12} $Failed^{-1} +4 z^{12} $Failed^{-1} +6 z^{11} $Failed^{-1} +9 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +8 z^{10} $Failed^{-1} +8 z^{10} $Failed^{-1} -10 z^{10} $Failed^{-1} -3 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +8 z^9 $Failed^{-1} -4 z^9 $Failed^{-1} -20 z^9 $Failed^{-1} -33 z^9 $Failed^{-1} -21 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} -14 z^8 $Failed^{-1} -37 z^8 $Failed^{-1} -4 z^8 $Failed^{-1} -14 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} +z^8 $Failed^{-1} +6 z^8+3 \text{QuantumGroups$\grave{ }$a} z^7-18 z^7 $Failed^{-1} -11 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} +29 z^7 $Failed^{-1} +17 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+9 z^6 $Failed^{-1} +63 z^6 $Failed^{-1} +14 z^6 $Failed^{-1} +8 z^6 $Failed^{-1} +28 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} -15 z^6-7 \text{QuantumGroups$\grave{ }$a} z^5+18 z^5 $Failed^{-1} +25 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2 z^4+3 z^4 $Failed^{-1} -55 z^4 $Failed^{-1} -20 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} -9 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} +15 z^4+3 \text{QuantumGroups$\grave{ }$a} z^3-9 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} -26 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} +9 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} +29 z^2 $Failed^{-1} +10 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -10 z^2+z $Failed^{-1} +4 z $Failed^{-1} +8 z $Failed^{-1} +4 z $Failed^{-1} -z $Failed^{-1} - $Failed^{-1} -5 $Failed^{-1} -3 $Failed^{-1} +2}

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