K14a18152

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18152

Polynomial invariants

Jones polynomial	Data:K14a18152/Jones Polynomial
Alexander polynomial	$3t^{4}-24t^{3}+88t^{2}-184t+235-184t^{-1}+88t^{-2}-24t^{-3}+3t^{-4}$
Conway polynomial	Data:K14a18152/Conway Polynomial
Determinant	Data:K14a18152/Determinant
Signature	Data:K14a18152/Signature
HOMFLY-PT polynomial	$2z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+5z^{6}a^{-2}-3z^{6}a^{-4}+a^{4}z^{4}-2a^{2}z^{4}+7z^{4}a^{-2}-4z^{4}a^{-4}+z^{4}a^{-6}+z^{4}-2a^{2}z^{2}+2z^{2}a^{-2}-2z^{2}a^{-4}+2z^{2}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 10 z^{13} $Failed^{-1} +10 z^{13} $Failed^{-1} +62 z^{12} $Failed^{-1} +29 z^{12} $Failed^{-1} +33 z^{12}+49 \text{QuantumGroups$\grave{ }$a} z^{11}+73 z^{11} $Failed^{-1} +58 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} +46 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-123 z^{10} $Failed^{-1} -41 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} -15 z^{10}+32 \text{QuantumGroups$\grave{ }$a}^3 z^9-84 \text{QuantumGroups$\grave{ }$a} z^9-256 z^9 $Failed^{-1} -234 z^9 $Failed^{-1} -87 z^9 $Failed^{-1} +7 z^9 $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^4 z^8-75 \text{QuantumGroups$\grave{ }$a}^2 z^8-9 z^8 $Failed^{-1} -49 z^8 $Failed^{-1} -51 z^8 $Failed^{-1} +z^8 $Failed^{-1} -104 z^8+6 \text{QuantumGroups$\grave{ }$a}^5 z^7-42 \text{QuantumGroups$\grave{ }$a}^3 z^7+35 \text{QuantumGroups$\grave{ }$a} z^7+243 z^7 $Failed^{-1} +235 z^7 $Failed^{-1} +62 z^7 $Failed^{-1} -13 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-18 \text{QuantumGroups$\grave{ }$a}^4 z^6+34 \text{QuantumGroups$\grave{ }$a}^2 z^6+126 z^6 $Failed^{-1} +85 z^6 $Failed^{-1} +34 z^6 $Failed^{-1} -z^6 $Failed^{-1} +129 z^6-4 \text{QuantumGroups$\grave{ }$a}^5 z^5+12 \text{QuantumGroups$\grave{ }$a}^3 z^5+13 \text{QuantumGroups$\grave{ }$a} z^5-57 z^5 $Failed^{-1} -73 z^5 $Failed^{-1} -14 z^5 $Failed^{-1} +5 z^5 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^4+4 \text{QuantumGroups$\grave{ }$a}^2 z^4-65 z^4 $Failed^{-1} -36 z^4 $Failed^{-1} -5 z^4 $Failed^{-1} -34 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-10 \text{QuantumGroups$\grave{ }$a} z^3-17 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -z^2 $Failed^{-1} -4 z^2+2 \text{QuantumGroups$\grave{ }$a} z+6 z $Failed^{-1} +6 z $Failed^{-1} +2 z $Failed^{-1} +1}

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