K14a1126

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1126

Polynomial invariants

Jones polynomial	Data:K14a1126/Jones Polynomial
Alexander polynomial	$-3t^{4}+20t^{3}-60t^{2}+110t-133+110t^{-1}-60t^{-2}+20t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a1126/Conway Polynomial
Determinant	Data:K14a1126/Determinant
Signature	Data:K14a1126/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-a^{8}+3z^{6}a^{6}+9z^{4}a^{6}+10z^{2}a^{6}+4a^{6}-2z^{8}a^{4}-8z^{6}a^{4}-15z^{4}a^{4}-15z^{2}a^{4}-7a^{4}-z^{8}a^{2}-z^{6}a^{2}+3z^{4}a^{2}+7z^{2}a^{2}+5a^{2}+2z^{6}+5z^{4}+4z^{2}+1-z^{4}a^{-2}-2z^{2}a^{-2}-a^{-2}$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+9 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+16 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+17 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+33 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+27 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+11 \text{QuantumGroups$\grave{ }$a} z^{11}+18 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+16 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-\text{QuantumGroups$\grave{ }$a}^4 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+11 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^9 z^9-24 \text{QuantumGroups$\grave{ }$a}^7 z^9-87 \text{QuantumGroups$\grave{ }$a}^5 z^9-69 \text{QuantumGroups$\grave{ }$a}^3 z^9-10 \text{QuantumGroups$\grave{ }$a} z^9+8 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^8-39 \text{QuantumGroups$\grave{ }$a}^8 z^8-90 \text{QuantumGroups$\grave{ }$a}^6 z^8-86 \text{QuantumGroups$\grave{ }$a}^4 z^8-63 \text{QuantumGroups$\grave{ }$a}^2 z^8+4 z^8 $Failed^{-1} -19 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-27 \text{QuantumGroups$\grave{ }$a}^9 z^7-10 \text{QuantumGroups$\grave{ }$a}^7 z^7+68 \text{QuantumGroups$\grave{ }$a}^5 z^7+51 \text{QuantumGroups$\grave{ }$a}^3 z^7-18 \text{QuantumGroups$\grave{ }$a} z^7-18 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^{10} z^6+27 \text{QuantumGroups$\grave{ }$a}^8 z^6+119 \text{QuantumGroups$\grave{ }$a}^6 z^6+151 \text{QuantumGroups$\grave{ }$a}^4 z^6+85 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} +4 z^6-2 \text{QuantumGroups$\grave{ }$a}^{11} z^5+19 \text{QuantumGroups$\grave{ }$a}^9 z^5+29 \text{QuantumGroups$\grave{ }$a}^7 z^5+5 \text{QuantumGroups$\grave{ }$a}^5 z^5+15 \text{QuantumGroups$\grave{ }$a}^3 z^5+32 \text{QuantumGroups$\grave{ }$a} z^5+11 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^{10} z^4-13 \text{QuantumGroups$\grave{ }$a}^8 z^4-77 \text{QuantumGroups$\grave{ }$a}^6 z^4-104 \text{QuantumGroups$\grave{ }$a}^4 z^4-52 \text{QuantumGroups$\grave{ }$a}^2 z^4+10 z^4 $Failed^{-1} +5 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-7 \text{QuantumGroups$\grave{ }$a}^9 z^3-24 \text{QuantumGroups$\grave{ }$a}^7 z^3-30 \text{QuantumGroups$\grave{ }$a}^5 z^3-30 \text{QuantumGroups$\grave{ }$a}^3 z^3-21 \text{QuantumGroups$\grave{ }$a} z^3-2 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+4 \text{QuantumGroups$\grave{ }$a}^8 z^2+24 \text{QuantumGroups$\grave{ }$a}^6 z^2+37 \text{QuantumGroups$\grave{ }$a}^4 z^2+18 \text{QuantumGroups$\grave{ }$a}^2 z^2-4 z^2 $Failed^{-1} -4 z^2+2 \text{QuantumGroups$\grave{ }$a}^9 z+7 \text{QuantumGroups$\grave{ }$a}^7 z+12 \text{QuantumGroups$\grave{ }$a}^5 z+11 \text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8-4 \text{QuantumGroups$\grave{ }$a}^6-7 \text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +1}

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