K14a7152

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7152

Polynomial invariants

Jones polynomial	Data:K14a7152/Jones Polynomial
Alexander polynomial	$-t^{5}+7t^{4}-22t^{3}+41t^{2}-51t+53-51t^{-1}+41t^{-2}-22t^{-3}+7t^{-4}-t^{-5}$
Conway polynomial	Data:K14a7152/Conway Polynomial
Determinant	Data:K14a7152/Determinant
Signature	Data:K14a7152/Signature
HOMFLY-PT polynomial	$-z^{10}a^{-4}+3z^{8}a^{-2}-7z^{8}a^{-4}+z^{8}a^{-6}+17z^{6}a^{-2}-20z^{6}a^{-4}+5z^{6}a^{-6}-3z^{6}+a^{2}z^{4}+33z^{4}a^{-2}-30z^{4}a^{-4}+8z^{4}a^{-6}-13z^{4}+3a^{2}z^{2}+29z^{2}a^{-2}-21z^{2}a^{-4}+6z^{2}a^{-6}-15z^{2}+a^{2}+10a^{-2}-6a^{-4}+a^{-6}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +14 z^{12} $Failed^{-1} +9 z^{12} $Failed^{-1} +5 z^{12}+4 \text{QuantumGroups$\grave{ }$a} z^{11}+7 z^{11} $Failed^{-1} +21 z^{11} $Failed^{-1} +18 z^{11} $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^{10}-57 z^{10} $Failed^{-1} -9 z^{10} $Failed^{-1} +23 z^{10} $Failed^{-1} -24 z^{10}-25 \text{QuantumGroups$\grave{ }$a} z^9-85 z^9 $Failed^{-1} -135 z^9 $Failed^{-1} -52 z^9 $Failed^{-1} +23 z^9 $Failed^{-1} -6 \text{QuantumGroups$\grave{ }$a}^2 z^8+33 z^8 $Failed^{-1} -83 z^8 $Failed^{-1} -64 z^8 $Failed^{-1} +20 z^8 $Failed^{-1} +26 z^8+56 \text{QuantumGroups$\grave{ }$a} z^7+195 z^7 $Failed^{-1} +225 z^7 $Failed^{-1} +21 z^7 $Failed^{-1} -50 z^7 $Failed^{-1} +15 z^7 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^2 z^6+94 z^6 $Failed^{-1} +170 z^6 $Failed^{-1} +44 z^6 $Failed^{-1} -33 z^6 $Failed^{-1} +9 z^6 $Failed^{-1} +23 z^6-55 \text{QuantumGroups$\grave{ }$a} z^5-167 z^5 $Failed^{-1} -136 z^5 $Failed^{-1} +18 z^5 $Failed^{-1} +20 z^5 $Failed^{-1} -18 z^5 $Failed^{-1} +4 z^5 $Failed^{-1} -13 \text{QuantumGroups$\grave{ }$a}^2 z^4-121 z^4 $Failed^{-1} -115 z^4 $Failed^{-1} -17 z^4 $Failed^{-1} +10 z^4 $Failed^{-1} -6 z^4 $Failed^{-1} +z^4 $Failed^{-1} -53 z^4+21 \text{QuantumGroups$\grave{ }$a} z^3+51 z^3 $Failed^{-1} +29 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} -z^3 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^2+50 z^2 $Failed^{-1} +38 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} -z^2 $Failed^{-1} +z^2 $Failed^{-1} +27 z^2-\text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} +z $Failed^{-1} +z $Failed^{-1} -2 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2-10 $Failed^{-1} -6 $Failed^{-1} - $Failed^{-1} -5}

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