K14a18052

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18052

Polynomial invariants

Jones polynomial	Data:K14a18052/Jones Polynomial
Alexander polynomial	$9t^{3}-45t^{2}+92t-111+92t^{-1}-45t^{-2}+9t^{-3}$
Conway polynomial	Data:K14a18052/Conway Polynomial
Determinant	Data:K14a18052/Determinant
Signature	Data:K14a18052/Signature
HOMFLY-PT polynomial	$5z^{6}a^{-2}+2z^{6}a^{-4}+2z^{6}-3a^{2}z^{4}+14z^{4}a^{-2}-3z^{4}a^{-6}+z^{4}+a^{4}z^{2}-6a^{2}z^{2}+14z^{2}a^{-2}-7z^{2}a^{-4}-4z^{2}a^{-6}+z^{2}a^{-8}-6z^{2}+2a^{4}-a^{2}+7a^{-2}-4a^{-4}+a^{-8}-4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +14 z^{12} $Failed^{-1} +8 z^{12} $Failed^{-1} +6 z^{12}+7 \text{QuantumGroups$\grave{ }$a} z^{11}+14 z^{11} $Failed^{-1} +22 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-33 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} -13 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^3 z^9-23 \text{QuantumGroups$\grave{ }$a} z^9-76 z^9 $Failed^{-1} -91 z^9 $Failed^{-1} -26 z^9 $Failed^{-1} +15 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-15 \text{QuantumGroups$\grave{ }$a}^2 z^8+8 z^8 $Failed^{-1} -59 z^8 $Failed^{-1} -40 z^8 $Failed^{-1} +9 z^8 $Failed^{-1} +2 z^8-12 \text{QuantumGroups$\grave{ }$a}^3 z^7+32 \text{QuantumGroups$\grave{ }$a} z^7+157 z^7 $Failed^{-1} +151 z^7 $Failed^{-1} +2 z^7 $Failed^{-1} -32 z^7 $Failed^{-1} +4 z^7 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4 z^6+7 \text{QuantumGroups$\grave{ }$a}^2 z^6+69 z^6 $Failed^{-1} +108 z^6 $Failed^{-1} +33 z^6 $Failed^{-1} -16 z^6 $Failed^{-1} +z^6 $Failed^{-1} +23 z^6+14 \text{QuantumGroups$\grave{ }$a}^3 z^5-39 \text{QuantumGroups$\grave{ }$a} z^5-171 z^5 $Failed^{-1} -124 z^5 $Failed^{-1} +29 z^5 $Failed^{-1} +28 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^4 z^4+9 \text{QuantumGroups$\grave{ }$a}^2 z^4-107 z^4 $Failed^{-1} -74 z^4 $Failed^{-1} -5 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -48 z^4-3 \text{QuantumGroups$\grave{ }$a}^3 z^3+32 \text{QuantumGroups$\grave{ }$a} z^3+76 z^3 $Failed^{-1} +50 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} -15 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -7 \text{QuantumGroups$\grave{ }$a}^4 z^2-4 \text{QuantumGroups$\grave{ }$a}^2 z^2+48 z^2 $Failed^{-1} +28 z^2 $Failed^{-1} -z^2 $Failed^{-1} -5 z^2 $Failed^{-1} +z^2 $Failed^{-1} +28 z^2-\text{QuantumGroups$\grave{ }$a}^3 z-9 \text{QuantumGroups$\grave{ }$a} z-13 z $Failed^{-1} -8 z $Failed^{-1} -z $Failed^{-1} +2 z $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2-7 $Failed^{-1} -4 $Failed^{-1} + $Failed^{-1} -4}

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