K14a17502

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17502

Polynomial invariants

Jones polynomial	Data:K14a17502/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-39t^{3}+100t^{2}-170t+203-170t^{-1}+100t^{-2}-39t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a17502/Conway Polynomial
Determinant	Data:K14a17502/Determinant
Signature	Data:K14a17502/Signature
HOMFLY-PT polynomial	$-z^{10}+a^{2}z^{8}+3z^{8}a^{-2}-5z^{8}+3a^{2}z^{6}+10z^{6}a^{-2}-3z^{6}a^{-4}-12z^{6}+4a^{2}z^{4}+11z^{4}a^{-2}-6z^{4}a^{-4}+z^{4}a^{-6}-14z^{4}+3a^{2}z^{2}+3z^{2}a^{-2}-2z^{2}a^{-4}+z^{2}a^{-6}-7z^{2}+a^{2}-a^{-2}+a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 8 z^{13} $Failed^{-1} +8 z^{13} $Failed^{-1} +54 z^{12} $Failed^{-1} +23 z^{12} $Failed^{-1} +31 z^{12}+54 \text{QuantumGroups$\grave{ }$a} z^{11}+85 z^{11} $Failed^{-1} +58 z^{11} $Failed^{-1} +27 z^{11} $Failed^{-1} +56 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-76 z^{10} $Failed^{-1} -22 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +19 z^{10}+39 \text{QuantumGroups$\grave{ }$a}^3 z^9-78 \text{QuantumGroups$\grave{ }$a} z^9-250 z^9 $Failed^{-1} -207 z^9 $Failed^{-1} -68 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +19 \text{QuantumGroups$\grave{ }$a}^4 z^8-96 \text{QuantumGroups$\grave{ }$a}^2 z^8-81 z^8 $Failed^{-1} -63 z^8 $Failed^{-1} -45 z^8 $Failed^{-1} +z^8 $Failed^{-1} -179 z^8+6 \text{QuantumGroups$\grave{ }$a}^5 z^7-54 \text{QuantumGroups$\grave{ }$a}^3 z^7+8 \text{QuantumGroups$\grave{ }$a} z^7+201 z^7 $Failed^{-1} +204 z^7 $Failed^{-1} +57 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-17 \text{QuantumGroups$\grave{ }$a}^4 z^6+63 \text{QuantumGroups$\grave{ }$a}^2 z^6+165 z^6 $Failed^{-1} +99 z^6 $Failed^{-1} +42 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +191 z^6-2 \text{QuantumGroups$\grave{ }$a}^5 z^5+28 \text{QuantumGroups$\grave{ }$a}^3 z^5+27 \text{QuantumGroups$\grave{ }$a} z^5-46 z^5 $Failed^{-1} -76 z^5 $Failed^{-1} -23 z^5 $Failed^{-1} +10 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^4-24 \text{QuantumGroups$\grave{ }$a}^2 z^4-75 z^4 $Failed^{-1} -47 z^4 $Failed^{-1} -18 z^4 $Failed^{-1} +z^4 $Failed^{-1} -76 z^4-8 \text{QuantumGroups$\grave{ }$a}^3 z^3-12 \text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} +8 z^3 $Failed^{-1} +6 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4 z^2+6 \text{QuantumGroups$\grave{ }$a}^2 z^2+7 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} +13 z^2+\text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} + $Failed^{-1} }

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