K14a7670

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7670

Polynomial invariants

Jones polynomial	Data:K14a7670/Jones Polynomial
Alexander polynomial	$-3t^{4}+23t^{3}-74t^{2}+136t-163+136t^{-1}-74t^{-2}+23t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a7670/Conway Polynomial
Determinant	Data:K14a7670/Determinant
Signature	Data:K14a7670/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}+z^{6}a^{-2}-7z^{6}a^{-4}+3z^{6}a^{-6}+2z^{6}-a^{2}z^{4}+8z^{4}a^{-2}-12z^{4}a^{-4}+8z^{4}a^{-6}-z^{4}a^{-8}+2z^{4}-a^{2}z^{2}+7z^{2}a^{-2}-10z^{2}a^{-4}+6z^{2}a^{-6}-2z^{2}a^{-8}-z^{2}+a^{-2}-2a^{-4}+a^{-6}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +15 z^{12} $Failed^{-1} +29 z^{12} $Failed^{-1} +14 z^{12} $Failed^{-1} +24 z^{11} $Failed^{-1} +45 z^{11} $Failed^{-1} +42 z^{11} $Failed^{-1} +21 z^{11} $Failed^{-1} +4 z^{10} $Failed^{-1} -34 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +19 z^{10} $Failed^{-1} +22 z^{10}+13 \text{QuantumGroups$\grave{ }$a} z^9-46 z^9 $Failed^{-1} -142 z^9 $Failed^{-1} -131 z^9 $Failed^{-1} -36 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-79 z^8 $Failed^{-1} -52 z^8 $Failed^{-1} -71 z^8 $Failed^{-1} -39 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -49 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-27 \text{QuantumGroups$\grave{ }$a} z^7+33 z^7 $Failed^{-1} +169 z^7 $Failed^{-1} +144 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} -26 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+118 z^6 $Failed^{-1} +129 z^6 $Failed^{-1} +99 z^6 $Failed^{-1} +23 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +44 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+18 \text{QuantumGroups$\grave{ }$a} z^5-21 z^5 $Failed^{-1} -101 z^5 $Failed^{-1} -63 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^4-86 z^4 $Failed^{-1} -93 z^4 $Failed^{-1} -51 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +7 z^4 $Failed^{-1} -27 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-4 \text{QuantumGroups$\grave{ }$a} z^3+8 z^3 $Failed^{-1} +28 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^2+25 z^2 $Failed^{-1} +27 z^2 $Failed^{-1} +12 z^2 $Failed^{-1} -z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +8 z^2-2 z $Failed^{-1} -4 z $Failed^{-1} +3 z $Failed^{-1} +z $Failed^{-1} - $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} +1}

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