K14a18061

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a18061

Polynomial invariants

Jones polynomial	Data:K14a18061/Jones Polynomial
Alexander polynomial	$-3t^{4}+24t^{3}-81t^{2}+156t-191+156t^{-1}-81t^{-2}+24t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a18061/Conway Polynomial
Determinant	Data:K14a18061/Determinant
Signature	Data:K14a18061/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}+z^{6}a^{-2}-6z^{6}a^{-4}+3z^{6}a^{-6}+2z^{6}-a^{2}z^{4}+7z^{4}a^{-2}-10z^{4}a^{-4}+6z^{4}a^{-6}-z^{4}a^{-8}+2z^{4}-a^{2}z^{2}+8z^{2}a^{-2}-9z^{2}a^{-4}+4z^{2}a^{-6}-z^{2}a^{-8}-z^{2}+3a^{-2}-3a^{-4}+a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 7 z^{13} $Failed^{-1} +7 z^{13} $Failed^{-1} +21 z^{12} $Failed^{-1} +45 z^{12} $Failed^{-1} +24 z^{12} $Failed^{-1} +28 z^{11} $Failed^{-1} +47 z^{11} $Failed^{-1} +54 z^{11} $Failed^{-1} +35 z^{11} $Failed^{-1} -19 z^{10} $Failed^{-1} -92 z^{10} $Failed^{-1} -20 z^{10} $Failed^{-1} +30 z^{10} $Failed^{-1} +23 z^{10}+13 \text{QuantumGroups$\grave{ }$a} z^9-63 z^9 $Failed^{-1} -186 z^9 $Failed^{-1} -204 z^9 $Failed^{-1} -77 z^9 $Failed^{-1} +17 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-53 z^8 $Failed^{-1} +17 z^8 $Failed^{-1} -59 z^8 $Failed^{-1} -65 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -53 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-27 \text{QuantumGroups$\grave{ }$a} z^7+56 z^7 $Failed^{-1} +256 z^7 $Failed^{-1} +264 z^7 $Failed^{-1} +59 z^7 $Failed^{-1} -32 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+118 z^6 $Failed^{-1} +111 z^6 $Failed^{-1} +102 z^6 $Failed^{-1} +43 z^6 $Failed^{-1} -9 z^6 $Failed^{-1} +47 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+16 \text{QuantumGroups$\grave{ }$a} z^5-29 z^5 $Failed^{-1} -155 z^5 $Failed^{-1} -151 z^5 $Failed^{-1} -28 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} -z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^4-89 z^4 $Failed^{-1} -103 z^4 $Failed^{-1} -63 z^4 $Failed^{-1} -14 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} -28 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-5 \text{QuantumGroups$\grave{ }$a} z^3+10 z^3 $Failed^{-1} +42 z^3 $Failed^{-1} +34 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} -z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2 z^2+29 z^2 $Failed^{-1} +31 z^2 $Failed^{-1} +15 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +9 z^2-2 z $Failed^{-1} -4 z $Failed^{-1} -2 z $Failed^{-1} -3 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} }

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