K14a5989

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5989

Polynomial invariants

Jones polynomial	Data:K14a5989/Jones Polynomial
Alexander polynomial	$-2t^{4}+19t^{3}-71t^{2}+141t-173+141t^{-1}-71t^{-2}+19t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a5989/Conway Polynomial
Determinant	Data:K14a5989/Determinant
Signature	Data:K14a5989/Signature
HOMFLY-PT polynomial	$z^{2}a^{8}+a^{8}-3z^{4}a^{6}-4z^{2}a^{6}-a^{6}+3z^{6}a^{4}+3z^{4}a^{4}-2z^{2}a^{4}-a^{4}-z^{8}a^{2}+z^{6}a^{2}+7z^{4}a^{2}+8z^{2}a^{2}+3a^{2}-z^{8}-2z^{6}-5z^{4}-8z^{2}-3+z^{6}a^{-2}+z^{4}a^{-2}+z^{2}a^{-2}+2a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+4 \text{QuantumGroups$\grave{ }$a} z^{13}+15 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+30 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 z^{12}+25 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+50 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+47 \text{QuantumGroups$\grave{ }$a} z^{11}+22 z^{11} $Failed^{-1} +26 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+16 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-28 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+16 z^{10} $Failed^{-1} -2 z^{10}+19 \text{QuantumGroups$\grave{ }$a}^7 z^9-32 \text{QuantumGroups$\grave{ }$a}^5 z^9-150 \text{QuantumGroups$\grave{ }$a}^3 z^9-161 \text{QuantumGroups$\grave{ }$a} z^9-56 z^9 $Failed^{-1} +6 z^9 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^8 z^8-48 \text{QuantumGroups$\grave{ }$a}^6 z^8-110 \text{QuantumGroups$\grave{ }$a}^4 z^8-100 \text{QuantumGroups$\grave{ }$a}^2 z^8-46 z^8 $Failed^{-1} +z^8 $Failed^{-1} -95 z^8+4 \text{QuantumGroups$\grave{ }$a}^9 z^7-35 \text{QuantumGroups$\grave{ }$a}^7 z^7-6 \text{QuantumGroups$\grave{ }$a}^5 z^7+146 \text{QuantumGroups$\grave{ }$a}^3 z^7+164 \text{QuantumGroups$\grave{ }$a} z^7+36 z^7 $Failed^{-1} -15 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-15 \text{QuantumGroups$\grave{ }$a}^8 z^6+42 \text{QuantumGroups$\grave{ }$a}^6 z^6+143 \text{QuantumGroups$\grave{ }$a}^4 z^6+175 \text{QuantumGroups$\grave{ }$a}^2 z^6+43 z^6 $Failed^{-1} -2 z^6 $Failed^{-1} +135 z^6-6 \text{QuantumGroups$\grave{ }$a}^9 z^5+36 \text{QuantumGroups$\grave{ }$a}^7 z^5+40 \text{QuantumGroups$\grave{ }$a}^5 z^5-70 \text{QuantumGroups$\grave{ }$a}^3 z^5-84 \text{QuantumGroups$\grave{ }$a} z^5-5 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^4+10 \text{QuantumGroups$\grave{ }$a}^8 z^4-9 \text{QuantumGroups$\grave{ }$a}^6 z^4-79 \text{QuantumGroups$\grave{ }$a}^4 z^4-117 \text{QuantumGroups$\grave{ }$a}^2 z^4-17 z^4 $Failed^{-1} +z^4 $Failed^{-1} -77 z^4+2 \text{QuantumGroups$\grave{ }$a}^9 z^3-18 \text{QuantumGroups$\grave{ }$a}^7 z^3-20 \text{QuantumGroups$\grave{ }$a}^5 z^3+18 \text{QuantumGroups$\grave{ }$a}^3 z^3+24 \text{QuantumGroups$\grave{ }$a} z^3+4 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^2-5 \text{QuantumGroups$\grave{ }$a}^8 z^2-3 \text{QuantumGroups$\grave{ }$a}^6 z^2+19 \text{QuantumGroups$\grave{ }$a}^4 z^2+33 \text{QuantumGroups$\grave{ }$a}^2 z^2+6 z^2 $Failed^{-1} +23 z^2+3 \text{QuantumGroups$\grave{ }$a}^7 z+2 \text{QuantumGroups$\grave{ }$a}^5 z-2 \text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^6-\text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -3}

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