K14a1293

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1293

Polynomial invariants

Jones polynomial	Data:K14a1293/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-33t^{3}+85t^{2}-148t+179-148t^{-1}+85t^{-2}-33t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14a1293/Conway Polynomial
Determinant	Data:K14a1293/Determinant
Signature	Data:K14a1293/Signature
HOMFLY-PT polynomial	$-z^{10}+a^{2}z^{8}+3z^{8}a^{-2}-6z^{8}+4a^{2}z^{6}+12z^{6}a^{-2}-3z^{6}a^{-4}-17z^{6}+7a^{2}z^{4}+19z^{4}a^{-2}-7z^{4}a^{-4}+z^{4}a^{-6}-23z^{4}+5a^{2}z^{2}+12z^{2}a^{-2}-5z^{2}a^{-4}+z^{2}a^{-6}-15z^{2}+2a^{2}+2a^{-2}-3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +34 z^{12} $Failed^{-1} +15 z^{12} $Failed^{-1} +19 z^{12}+36 \text{QuantumGroups$\grave{ }$a} z^{11}+74 z^{11} $Failed^{-1} +60 z^{11} $Failed^{-1} +22 z^{11} $Failed^{-1} +38 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-3 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +16 z^{10} $Failed^{-1} +37 z^{10}+27 \text{QuantumGroups$\grave{ }$a}^3 z^9-47 \text{QuantumGroups$\grave{ }$a} z^9-202 z^9 $Failed^{-1} -181 z^9 $Failed^{-1} -47 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^4 z^8-69 \text{QuantumGroups$\grave{ }$a}^2 z^8-203 z^8 $Failed^{-1} -139 z^8 $Failed^{-1} -44 z^8 $Failed^{-1} +z^8 $Failed^{-1} -192 z^8+5 \text{QuantumGroups$\grave{ }$a}^5 z^7-43 \text{QuantumGroups$\grave{ }$a}^3 z^7-\text{QuantumGroups$\grave{ }$a} z^7+161 z^7 $Failed^{-1} +145 z^7 $Failed^{-1} +16 z^7 $Failed^{-1} -15 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-18 \text{QuantumGroups$\grave{ }$a}^4 z^6+62 \text{QuantumGroups$\grave{ }$a}^2 z^6+292 z^6 $Failed^{-1} +179 z^6 $Failed^{-1} +44 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +240 z^6-5 \text{QuantumGroups$\grave{ }$a}^5 z^5+33 \text{QuantumGroups$\grave{ }$a}^3 z^5+30 \text{QuantumGroups$\grave{ }$a} z^5-44 z^5 $Failed^{-1} -34 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^4+10 \text{QuantumGroups$\grave{ }$a}^4 z^4-32 \text{QuantumGroups$\grave{ }$a}^2 z^4-164 z^4 $Failed^{-1} -90 z^4 $Failed^{-1} -20 z^4 $Failed^{-1} +z^4 $Failed^{-1} -138 z^4+\text{QuantumGroups$\grave{ }$a}^5 z^3-11 \text{QuantumGroups$\grave{ }$a}^3 z^3-13 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} -z^3 $Failed^{-1} -7 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^2+11 \text{QuantumGroups$\grave{ }$a}^2 z^2+37 z^2 $Failed^{-1} +17 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} +37 z^2+\text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -3}

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