K14a996

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a996

Polynomial invariants

Jones polynomial	Data:K14a996/Jones Polynomial
Alexander polynomial	$-6t^{3}+40t^{2}-100t+133-100t^{-1}+40t^{-2}-6t^{-3}$
Conway polynomial	Data:K14a996/Conway Polynomial
Determinant	Data:K14a996/Determinant
Signature	Data:K14a996/Signature
HOMFLY-PT polynomial	$-z^{2}a^{8}-a^{8}+3z^{4}a^{6}+3z^{2}a^{6}-2z^{6}a^{4}-z^{4}a^{4}+z^{2}a^{4}+a^{4}-3z^{6}a^{2}-3z^{4}a^{2}+a^{2}-z^{6}+3z^{4}+4z^{2}+1+2z^{4}a^{-2}-a^{-2}-z^{2}a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+7 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+16 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+21 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+31 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+18 \text{QuantumGroups$\grave{ }$a} z^{11}+4 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-15 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-28 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+14 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+23 z^{10}+\text{QuantumGroups$\grave{ }$a}^9 z^9-34 \text{QuantumGroups$\grave{ }$a}^7 z^9-110 \text{QuantumGroups$\grave{ }$a}^5 z^9-117 \text{QuantumGroups$\grave{ }$a}^3 z^9-21 \text{QuantumGroups$\grave{ }$a} z^9+21 z^9 $Failed^{-1} -18 \text{QuantumGroups$\grave{ }$a}^8 z^8-22 \text{QuantumGroups$\grave{ }$a}^6 z^8-55 \text{QuantumGroups$\grave{ }$a}^4 z^8-108 \text{QuantumGroups$\grave{ }$a}^2 z^8+15 z^8 $Failed^{-1} -42 z^8-5 \text{QuantumGroups$\grave{ }$a}^9 z^7+49 \text{QuantumGroups$\grave{ }$a}^7 z^7+169 \text{QuantumGroups$\grave{ }$a}^5 z^7+122 \text{QuantumGroups$\grave{ }$a}^3 z^7-37 \text{QuantumGroups$\grave{ }$a} z^7-35 z^7 $Failed^{-1} +9 z^7 $Failed^{-1} +28 \text{QuantumGroups$\grave{ }$a}^8 z^6+69 \text{QuantumGroups$\grave{ }$a}^6 z^6+133 \text{QuantumGroups$\grave{ }$a}^4 z^6+133 \text{QuantumGroups$\grave{ }$a}^2 z^6-19 z^6 $Failed^{-1} +4 z^6 $Failed^{-1} +18 z^6+9 \text{QuantumGroups$\grave{ }$a}^9 z^5-33 \text{QuantumGroups$\grave{ }$a}^7 z^5-129 \text{QuantumGroups$\grave{ }$a}^5 z^5-59 \text{QuantumGroups$\grave{ }$a}^3 z^5+61 \text{QuantumGroups$\grave{ }$a} z^5+22 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} +z^5 $Failed^{-1} -18 \text{QuantumGroups$\grave{ }$a}^8 z^4-50 \text{QuantumGroups$\grave{ }$a}^6 z^4-92 \text{QuantumGroups$\grave{ }$a}^4 z^4-68 \text{QuantumGroups$\grave{ }$a}^2 z^4+10 z^4 $Failed^{-1} -4 z^4 $Failed^{-1} +6 z^4-7 \text{QuantumGroups$\grave{ }$a}^9 z^3+18 \text{QuantumGroups$\grave{ }$a}^7 z^3+65 \text{QuantumGroups$\grave{ }$a}^5 z^3+24 \text{QuantumGroups$\grave{ }$a}^3 z^3-27 \text{QuantumGroups$\grave{ }$a} z^3-5 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -z^3 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^8 z^2+13 \text{QuantumGroups$\grave{ }$a}^6 z^2+24 \text{QuantumGroups$\grave{ }$a}^4 z^2+15 \text{QuantumGroups$\grave{ }$a}^2 z^2-3 z^2 $Failed^{-1} +z^2 $Failed^{-1} -5 z^2+2 \text{QuantumGroups$\grave{ }$a}^9 z-7 \text{QuantumGroups$\grave{ }$a}^7 z-17 \text{QuantumGroups$\grave{ }$a}^5 z-8 \text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +1}

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