K14a6243

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6243

Polynomial invariants

Jones polynomial	Data:K14a6243/Jones Polynomial
Alexander polynomial	$t^{5}-9t^{4}+34t^{3}-78t^{2}+126t-147+126t^{-1}-78t^{-2}+34t^{-3}-9t^{-4}+t^{-5}$
Conway polynomial	Data:K14a6243/Conway Polynomial
Determinant	Data:K14a6243/Determinant
Signature	Data:K14a6243/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+5a^{2}z^{8}-2z^{8}+a^{6}z^{6}-8a^{4}z^{6}+10a^{2}z^{6}+z^{6}a^{-2}-7z^{6}+3a^{6}z^{4}-9a^{4}z^{4}+7a^{2}z^{4}+2z^{4}a^{-2}-7z^{4}+a^{6}z^{2}+2a^{4}z^{2}-3a^{2}z^{2}+z^{2}a^{-2}-2a^{6}+5a^{4}-4a^{2}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+5 \text{QuantumGroups$\grave{ }$a} z^{13}+17 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+34 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+17 z^{12}+27 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+47 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+43 \text{QuantumGroups$\grave{ }$a} z^{11}+23 z^{11} $Failed^{-1} +27 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-52 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+16 z^{10} $Failed^{-1} -16 z^{10}+20 \text{QuantumGroups$\grave{ }$a}^7 z^9-39 \text{QuantumGroups$\grave{ }$a}^5 z^9-152 \text{QuantumGroups$\grave{ }$a}^3 z^9-162 \text{QuantumGroups$\grave{ }$a} z^9-63 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^8 z^8-43 \text{QuantumGroups$\grave{ }$a}^6 z^8-97 \text{QuantumGroups$\grave{ }$a}^4 z^8-60 \text{QuantumGroups$\grave{ }$a}^2 z^8-46 z^8 $Failed^{-1} +z^8 $Failed^{-1} -65 z^8+5 \text{QuantumGroups$\grave{ }$a}^9 z^7-27 \text{QuantumGroups$\grave{ }$a}^7 z^7+7 \text{QuantumGroups$\grave{ }$a}^5 z^7+135 \text{QuantumGroups$\grave{ }$a}^3 z^7+158 \text{QuantumGroups$\grave{ }$a} z^7+47 z^7 $Failed^{-1} -15 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-17 \text{QuantumGroups$\grave{ }$a}^8 z^6+24 \text{QuantumGroups$\grave{ }$a}^6 z^6+121 \text{QuantumGroups$\grave{ }$a}^4 z^6+133 \text{QuantumGroups$\grave{ }$a}^2 z^6+40 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +96 z^6-7 \text{QuantumGroups$\grave{ }$a}^9 z^5+8 \text{QuantumGroups$\grave{ }$a}^7 z^5+15 \text{QuantumGroups$\grave{ }$a}^5 z^5-25 \text{QuantumGroups$\grave{ }$a}^3 z^5-47 \text{QuantumGroups$\grave{ }$a} z^5-12 z^5 $Failed^{-1} +10 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^4+8 \text{QuantumGroups$\grave{ }$a}^8 z^4-3 \text{QuantumGroups$\grave{ }$a}^6 z^4-43 \text{QuantumGroups$\grave{ }$a}^4 z^4-56 \text{QuantumGroups$\grave{ }$a}^2 z^4-15 z^4 $Failed^{-1} +z^4 $Failed^{-1} -41 z^4+3 \text{QuantumGroups$\grave{ }$a}^9 z^3+3 \text{QuantumGroups$\grave{ }$a}^7 z^3-4 \text{QuantumGroups$\grave{ }$a}^5 z^3-7 \text{QuantumGroups$\grave{ }$a}^3 z^3+z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8 z^2-4 \text{QuantumGroups$\grave{ }$a}^6 z^2-6 \text{QuantumGroups$\grave{ }$a}^4 z^2-4 \text{QuantumGroups$\grave{ }$a}^2 z^2+3 z^2 $Failed^{-1} +2 z^2-2 \text{QuantumGroups$\grave{ }$a}^7 z-2 \text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^6+5 \text{QuantumGroups$\grave{ }$a}^4+4 \text{QuantumGroups$\grave{ }$a}^2+2}

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