K14a5399

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5399

Polynomial invariants

Jones polynomial	Data:K14a5399/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-28t^{3}+60t^{2}-91t+105-91t^{-1}+60t^{-2}-28t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14a5399/Conway Polynomial
Determinant	Data:K14a5399/Determinant
Signature	Data:K14a5399/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-6z^{8}-a^{4}z^{6}+10a^{2}z^{6}+9z^{6}a^{-2}-z^{6}a^{-4}-16z^{6}-4a^{4}z^{4}+19a^{2}z^{4}+14z^{4}a^{-2}-3z^{4}a^{-4}-24z^{4}-5a^{4}z^{2}+17a^{2}z^{2}+9z^{2}a^{-2}-2z^{2}a^{-4}-19z^{2}-2a^{4}+6a^{2}+2a^{-2}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 z^{12} $Failed^{-1} +16 z^{12}+11 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+24 \text{QuantumGroups$\grave{ }$a} z^{11}+30 z^{11} $Failed^{-1} +17 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10} $Failed^{-1} +18 z^{10} $Failed^{-1} -18 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^5 z^9-16 \text{QuantumGroups$\grave{ }$a}^3 z^9-77 \text{QuantumGroups$\grave{ }$a} z^9-103 z^9 $Failed^{-1} -38 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-21 \text{QuantumGroups$\grave{ }$a}^4 z^8-42 \text{QuantumGroups$\grave{ }$a}^2 z^8-76 z^8 $Failed^{-1} -50 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -38 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-18 \text{QuantumGroups$\grave{ }$a}^5 z^7+6 \text{QuantumGroups$\grave{ }$a}^3 z^7+107 \text{QuantumGroups$\grave{ }$a} z^7+135 z^7 $Failed^{-1} +20 z^7 $Failed^{-1} -32 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+11 \text{QuantumGroups$\grave{ }$a}^4 z^6+69 \text{QuantumGroups$\grave{ }$a}^2 z^6+123 z^6 $Failed^{-1} +46 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +112 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+10 \text{QuantumGroups$\grave{ }$a}^5 z^5-8 \text{QuantumGroups$\grave{ }$a}^3 z^5-75 \text{QuantumGroups$\grave{ }$a} z^5-72 z^5 $Failed^{-1} +7 z^5 $Failed^{-1} +23 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^6 z^4-7 \text{QuantumGroups$\grave{ }$a}^4 z^4-68 \text{QuantumGroups$\grave{ }$a}^2 z^4-76 z^4 $Failed^{-1} -20 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -102 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3+\text{QuantumGroups$\grave{ }$a}^5 z^3+5 \text{QuantumGroups$\grave{ }$a}^3 z^3+19 \text{QuantumGroups$\grave{ }$a} z^3+12 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^6 z^2+7 \text{QuantumGroups$\grave{ }$a}^4 z^2+33 \text{QuantumGroups$\grave{ }$a}^2 z^2+20 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} +39 z^2-\text{QuantumGroups$\grave{ }$a}^7 z-\text{QuantumGroups$\grave{ }$a}^5 z+z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -5}

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