K14a5187

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5187

Polynomial invariants

Jones polynomial	Data:K14a5187/Jones Polynomial
Alexander polynomial	$t^{5}-9t^{4}+35t^{3}-83t^{2}+135t-157+135t^{-1}-83t^{-2}+35t^{-3}-9t^{-4}+t^{-5}$
Conway polynomial	Data:K14a5187/Conway Polynomial
Determinant	Data:K14a5187/Determinant
Signature	Data:K14a5187/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+5z^{8}a^{-2}-2z^{8}a^{-4}-2z^{8}+a^{2}z^{6}+11z^{6}a^{-2}-7z^{6}a^{-4}+z^{6}a^{-6}-8z^{6}+3a^{2}z^{4}+11z^{4}a^{-2}-7z^{4}a^{-4}+2z^{4}a^{-6}-12z^{4}+3a^{2}z^{2}+2z^{2}a^{-2}+z^{2}a^{-4}-7z^{2}+a^{2}-2a^{-2}+3a^{-4}-a^{-6}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 z^{13} $Failed^{-1} +5 z^{13} $Failed^{-1} +35 z^{12} $Failed^{-1} +20 z^{12} $Failed^{-1} +15 z^{12}+19 \text{QuantumGroups$\grave{ }$a} z^{11}+40 z^{11} $Failed^{-1} +57 z^{11} $Failed^{-1} +36 z^{11} $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-51 z^{10} $Failed^{-1} +16 z^{10} $Failed^{-1} +40 z^{10} $Failed^{-1} -14 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^3 z^9-55 \text{QuantumGroups$\grave{ }$a} z^9-153 z^9 $Failed^{-1} -168 z^9 $Failed^{-1} -44 z^9 $Failed^{-1} +31 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-42 \text{QuantumGroups$\grave{ }$a}^2 z^8-51 z^8 $Failed^{-1} -116 z^8 $Failed^{-1} -62 z^8 $Failed^{-1} +17 z^8 $Failed^{-1} -57 z^8-15 \text{QuantumGroups$\grave{ }$a}^3 z^7+55 \text{QuantumGroups$\grave{ }$a} z^7+177 z^7 $Failed^{-1} +145 z^7 $Failed^{-1} -12 z^7 $Failed^{-1} -44 z^7 $Failed^{-1} +6 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^6+49 \text{QuantumGroups$\grave{ }$a}^2 z^6+117 z^6 $Failed^{-1} +106 z^6 $Failed^{-1} +23 z^6 $Failed^{-1} -19 z^6 $Failed^{-1} +z^6 $Failed^{-1} +106 z^6+13 \text{QuantumGroups$\grave{ }$a}^3 z^5-29 \text{QuantumGroups$\grave{ }$a} z^5-90 z^5 $Failed^{-1} -43 z^5 $Failed^{-1} +26 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4 z^4-30 \text{QuantumGroups$\grave{ }$a}^2 z^4-56 z^4 $Failed^{-1} -20 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -68 z^4-4 \text{QuantumGroups$\grave{ }$a}^3 z^3+10 \text{QuantumGroups$\grave{ }$a} z^3+22 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^2+2 z^2 $Failed^{-1} -9 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +16 z^2-2 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -2 z $Failed^{-1} -2 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +3 $Failed^{-1} + $Failed^{-1} }

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