K14n6229

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n6229

Polynomial invariants

Jones polynomial	Data:K14n6229/Jones Polynomial
Alexander polynomial	$-t^{3}+7t^{2}-18t+25-18t^{-1}+7t^{-2}-t^{-3}$
Conway polynomial	Data:K14n6229/Conway Polynomial
Determinant	Data:K14n6229/Determinant
Signature	Data:K14n6229/Signature
HOMFLY-PT polynomial	$a^{2}z^{6}-z^{6}a^{-2}-z^{6}-a^{4}z^{4}+6a^{2}z^{4}-2z^{4}a^{-2}+2z^{4}a^{-4}-4z^{4}-3a^{4}z^{2}+10a^{2}z^{2}-z^{2}a^{-2}+4z^{2}a^{-4}-z^{2}a^{-6}-8z^{2}-2a^{4}+6a^{2}+a^{-2}+2a^{-4}-a^{-6}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{12} $Failed^{-1} +z^{12}+\text{QuantumGroups$\grave{ }$a}^3 z^{11}+2 \text{QuantumGroups$\grave{ }$a} z^{11}+4 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+2 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-z^{10} $Failed^{-1} +4 z^{10} $Failed^{-1} -5 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-7 \text{QuantumGroups$\grave{ }$a}^3 z^9-18 \text{QuantumGroups$\grave{ }$a} z^9-26 z^9 $Failed^{-1} -12 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} -15 \text{QuantumGroups$\grave{ }$a}^4 z^8-21 \text{QuantumGroups$\grave{ }$a}^2 z^8-12 z^8 $Failed^{-1} -14 z^8 $Failed^{-1} +3 z^8 $Failed^{-1} -z^8-7 \text{QuantumGroups$\grave{ }$a}^5 z^7+10 \text{QuantumGroups$\grave{ }$a}^3 z^7+50 \text{QuantumGroups$\grave{ }$a} z^7+64 z^7 $Failed^{-1} +16 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} +z^7 $Failed^{-1} +35 \text{QuantumGroups$\grave{ }$a}^4 z^6+61 \text{QuantumGroups$\grave{ }$a}^2 z^6+34 z^6 $Failed^{-1} +10 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +38 z^6+15 \text{QuantumGroups$\grave{ }$a}^5 z^5+4 \text{QuantumGroups$\grave{ }$a}^3 z^5-54 \text{QuantumGroups$\grave{ }$a} z^5-69 z^5 $Failed^{-1} -13 z^5 $Failed^{-1} +9 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} -32 \text{QuantumGroups$\grave{ }$a}^4 z^4-68 \text{QuantumGroups$\grave{ }$a}^2 z^4-33 z^4 $Failed^{-1} +z^4 $Failed^{-1} +12 z^4 $Failed^{-1} -58 z^4-11 \text{QuantumGroups$\grave{ }$a}^5 z^3-8 \text{QuantumGroups$\grave{ }$a}^3 z^3+28 \text{QuantumGroups$\grave{ }$a} z^3+34 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} +z^3 $Failed^{-1} +4 z^3 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^4 z^2+34 \text{QuantumGroups$\grave{ }$a}^2 z^2+10 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +32 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z-6 \text{QuantumGroups$\grave{ }$a} z-7 z $Failed^{-1} -2 z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} -5}

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