K14a5134

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5134

Polynomial invariants

Jones polynomial	Data:K14a5134/Jones Polynomial
Alexander polynomial	$-4t^{3}+25t^{2}-62t+83-62t^{-1}+25t^{-2}-4t^{-3}$
Conway polynomial	Data:K14a5134/Conway Polynomial
Determinant	Data:K14a5134/Determinant
Signature	Data:K14a5134/Signature
HOMFLY-PT polynomial	$-z^{2}a^{6}-a^{6}+2z^{4}a^{4}+3z^{2}a^{4}+2a^{4}-z^{6}a^{2}-a^{2}-2z^{6}-3z^{4}-2z^{2}+1-z^{6}a^{-2}-a^{-2}+2z^{4}a^{-4}+3z^{2}a^{-4}+2a^{-4}-z^{2}a^{-6}-a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a} z^{13}+z^{13} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 z^{12} $Failed^{-1} +8 z^{12}+6 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+10 \text{QuantumGroups$\grave{ }$a} z^{11}+10 z^{11} $Failed^{-1} +6 z^{11} $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-9 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-9 z^{10} $Failed^{-1} +6 z^{10} $Failed^{-1} -30 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^5 z^9-19 \text{QuantumGroups$\grave{ }$a}^3 z^9-61 \text{QuantumGroups$\grave{ }$a} z^9-61 z^9 $Failed^{-1} -19 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^6 z^8-17 \text{QuantumGroups$\grave{ }$a}^4 z^8+3 \text{QuantumGroups$\grave{ }$a}^2 z^8+3 z^8 $Failed^{-1} -17 z^8 $Failed^{-1} +3 z^8 $Failed^{-1} +46 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-16 \text{QuantumGroups$\grave{ }$a}^5 z^7+25 \text{QuantumGroups$\grave{ }$a}^3 z^7+144 \text{QuantumGroups$\grave{ }$a} z^7+144 z^7 $Failed^{-1} +25 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+9 \text{QuantumGroups$\grave{ }$a}^4 z^6+12 \text{QuantumGroups$\grave{ }$a}^2 z^6+12 z^6 $Failed^{-1} +9 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} -16 z^6-4 \text{QuantumGroups$\grave{ }$a}^7 z^5+12 \text{QuantumGroups$\grave{ }$a}^5 z^5-23 \text{QuantumGroups$\grave{ }$a}^3 z^5-155 \text{QuantumGroups$\grave{ }$a} z^5-155 z^5 $Failed^{-1} -23 z^5 $Failed^{-1} +12 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^6 z^4+6 \text{QuantumGroups$\grave{ }$a}^4 z^4-9 \text{QuantumGroups$\grave{ }$a}^2 z^4-9 z^4 $Failed^{-1} +6 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -8 z^4+4 \text{QuantumGroups$\grave{ }$a}^7 z^3-2 \text{QuantumGroups$\grave{ }$a}^5 z^3+15 \text{QuantumGroups$\grave{ }$a}^3 z^3+79 \text{QuantumGroups$\grave{ }$a} z^3+79 z^3 $Failed^{-1} +15 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^6 z^2-8 \text{QuantumGroups$\grave{ }$a}^4 z^2-\text{QuantumGroups$\grave{ }$a}^2 z^2-z^2 $Failed^{-1} -8 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} +4 z^2-\text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z-5 \text{QuantumGroups$\grave{ }$a}^3 z-15 \text{QuantumGroups$\grave{ }$a} z-15 z $Failed^{-1} -5 z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6+2 \text{QuantumGroups$\grave{ }$a}^4+\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} +1}

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