K14a6021

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6021

Polynomial invariants

Jones polynomial	Data:K14a6021/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+51t^{2}-103t+131-103t^{-1}+51t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a6021/Conway Polynomial
Determinant	Data:K14a6021/Determinant
Signature	Data:K14a6021/Signature
HOMFLY-PT polynomial	$a^{2}z^{8}+z^{8}-a^{4}z^{6}+4a^{2}z^{6}-3z^{6}a^{-2}+z^{6}-3a^{4}z^{4}+10a^{2}z^{4}-6z^{4}a^{-2}+3z^{4}a^{-4}-3z^{4}-4a^{4}z^{2}+11a^{2}z^{2}-4z^{2}a^{-2}+5z^{2}a^{-4}-z^{2}a^{-6}-9z^{2}-a^{4}+5a^{2}+3a^{-4}-a^{-6}-5$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+7 z^{12} $Failed^{-1} +15 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+26 \text{QuantumGroups$\grave{ }$a} z^{11}+23 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} -14 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^5 z^9-31 \text{QuantumGroups$\grave{ }$a}^3 z^9-87 \text{QuantumGroups$\grave{ }$a} z^9-68 z^9 $Failed^{-1} -13 z^9 $Failed^{-1} +8 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-39 \text{QuantumGroups$\grave{ }$a}^4 z^8-65 \text{QuantumGroups$\grave{ }$a}^2 z^8-39 z^8 $Failed^{-1} -18 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -39 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-24 \text{QuantumGroups$\grave{ }$a}^5 z^7+24 \text{QuantumGroups$\grave{ }$a}^3 z^7+122 \text{QuantumGroups$\grave{ }$a} z^7+89 z^7 $Failed^{-1} -2 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+45 \text{QuantumGroups$\grave{ }$a}^4 z^6+123 \text{QuantumGroups$\grave{ }$a}^2 z^6+48 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +104 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+20 \text{QuantumGroups$\grave{ }$a}^5 z^5-6 \text{QuantumGroups$\grave{ }$a}^3 z^5-88 \text{QuantumGroups$\grave{ }$a} z^5-73 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +8 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4-32 \text{QuantumGroups$\grave{ }$a}^4 z^4-104 \text{QuantumGroups$\grave{ }$a}^2 z^4-34 z^4 $Failed^{-1} +12 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -99 z^4+2 \text{QuantumGroups$\grave{ }$a}^7 z^3-8 \text{QuantumGroups$\grave{ }$a}^5 z^3-\text{QuantumGroups$\grave{ }$a}^3 z^3+40 \text{QuantumGroups$\grave{ }$a} z^3+39 z^3 $Failed^{-1} +8 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+10 \text{QuantumGroups$\grave{ }$a}^4 z^2+41 \text{QuantumGroups$\grave{ }$a}^2 z^2+10 z^2 $Failed^{-1} -10 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} +44 z^2+\text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z-10 \text{QuantumGroups$\grave{ }$a} z-11 z $Failed^{-1} -4 z $Failed^{-1} -2 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^2+3 $Failed^{-1} + $Failed^{-1} -5}

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