K14a697

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a697

Polynomial invariants

Jones polynomial	Data:K14a697/Jones Polynomial
Alexander polynomial	$-3t^{4}+23t^{3}-74t^{2}+141t-173+141t^{-1}-74t^{-2}+23t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a697/Conway Polynomial
Determinant	Data:K14a697/Determinant
Signature	Data:K14a697/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-2z^{8}a^{-4}-6z^{6}a^{-4}+3z^{6}a^{-6}+2z^{6}-a^{2}z^{4}+4z^{4}a^{-2}-8z^{4}a^{-4}+6z^{4}a^{-6}-z^{4}a^{-8}+4z^{4}-2a^{2}z^{2}+5z^{2}a^{-2}-4z^{2}a^{-4}+3z^{2}a^{-6}-z^{2}a^{-8}+3z^{2}-a^{2}+2a^{-2}-a^{-6}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +9 z^{12} $Failed^{-1} +20 z^{12} $Failed^{-1} +11 z^{12} $Failed^{-1} +15 z^{11} $Failed^{-1} +46 z^{11} $Failed^{-1} +55 z^{11} $Failed^{-1} +24 z^{11} $Failed^{-1} +27 z^{10} $Failed^{-1} +36 z^{10} $Failed^{-1} +50 z^{10} $Failed^{-1} +27 z^{10} $Failed^{-1} +14 z^{10}+9 \text{QuantumGroups$\grave{ }$a} z^9-12 z^9 $Failed^{-1} -95 z^9 $Failed^{-1} -104 z^9 $Failed^{-1} -13 z^9 $Failed^{-1} +17 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-104 z^8 $Failed^{-1} -197 z^8 $Failed^{-1} -178 z^8 $Failed^{-1} -51 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -24 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-19 \text{QuantumGroups$\grave{ }$a} z^7-20 z^7 $Failed^{-1} +39 z^7 $Failed^{-1} +10 z^7 $Failed^{-1} -63 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+126 z^6 $Failed^{-1} +238 z^6 $Failed^{-1} +177 z^6 $Failed^{-1} +32 z^6 $Failed^{-1} -9 z^6 $Failed^{-1} +14 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+15 \text{QuantumGroups$\grave{ }$a} z^5+42 z^5 $Failed^{-1} +43 z^5 $Failed^{-1} +66 z^5 $Failed^{-1} +72 z^5 $Failed^{-1} +24 z^5 $Failed^{-1} -z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^4-66 z^4 $Failed^{-1} -120 z^4 $Failed^{-1} -82 z^4 $Failed^{-1} -14 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -z^4+3 \text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3-29 z^3 $Failed^{-1} -40 z^3 $Failed^{-1} -38 z^3 $Failed^{-1} -26 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2 z^2+15 z^2 $Failed^{-1} +24 z^2 $Failed^{-1} +15 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} -3 z^2-\text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+7 z $Failed^{-1} +10 z $Failed^{-1} +5 z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} + $Failed^{-1} +1}

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