K14a6428

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6428

Polynomial invariants

Jones polynomial	Data:K14a6428/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+29t^{3}-65t^{2}+100t-113+100t^{-1}-65t^{-2}+29t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a6428/Conway Polynomial
Determinant	Data:K14a6428/Determinant
Signature	Data:K14a6428/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-3a^{4}z^{8}+6a^{2}z^{8}-z^{8}+3a^{6}z^{6}-14a^{4}z^{6}+15a^{2}z^{6}-4z^{6}-a^{8}z^{4}+10a^{6}z^{4}-23a^{4}z^{4}+18a^{2}z^{4}-5z^{4}-2a^{8}z^{2}+9a^{6}z^{2}-16a^{4}z^{2}+9a^{2}z^{2}-2z^{2}+2a^{6}-4a^{4}+2a^{2}+1$
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 3 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+3 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+10 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+22 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+12 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+29 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+34 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+20 \text{QuantumGroups$\grave{ }$a} z^{11}+15 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+\text{QuantumGroups$\grave{ }$a}^6 z^{10}-39 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+19 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^9 z^9-21 \text{QuantumGroups$\grave{ }$a}^7 z^9-105 \text{QuantumGroups$\grave{ }$a}^5 z^9-140 \text{QuantumGroups$\grave{ }$a}^3 z^9-55 \text{QuantumGroups$\grave{ }$a} z^9+12 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^8-27 \text{QuantumGroups$\grave{ }$a}^8 z^8-47 \text{QuantumGroups$\grave{ }$a}^6 z^8-25 \text{QuantumGroups$\grave{ }$a}^4 z^8-71 \text{QuantumGroups$\grave{ }$a}^2 z^8+5 z^8 $Failed^{-1} -56 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-25 \text{QuantumGroups$\grave{ }$a}^9 z^7-8 \text{QuantumGroups$\grave{ }$a}^7 z^7+139 \text{QuantumGroups$\grave{ }$a}^5 z^7+204 \text{QuantumGroups$\grave{ }$a}^3 z^7+50 \text{QuantumGroups$\grave{ }$a} z^7-32 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^{10} z^6+2 \text{QuantumGroups$\grave{ }$a}^8 z^6+63 \text{QuantumGroups$\grave{ }$a}^6 z^6+128 \text{QuantumGroups$\grave{ }$a}^4 z^6+146 \text{QuantumGroups$\grave{ }$a}^2 z^6-12 z^6 $Failed^{-1} +55 z^6-2 \text{QuantumGroups$\grave{ }$a}^{11} z^5+16 \text{QuantumGroups$\grave{ }$a}^9 z^5+18 \text{QuantumGroups$\grave{ }$a}^7 z^5-76 \text{QuantumGroups$\grave{ }$a}^5 z^5-113 \text{QuantumGroups$\grave{ }$a}^3 z^5-15 \text{QuantumGroups$\grave{ }$a} z^5+20 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^{10} z^4+12 \text{QuantumGroups$\grave{ }$a}^8 z^4-40 \text{QuantumGroups$\grave{ }$a}^6 z^4-108 \text{QuantumGroups$\grave{ }$a}^4 z^4-96 \text{QuantumGroups$\grave{ }$a}^2 z^4+4 z^4 $Failed^{-1} -27 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-4 \text{QuantumGroups$\grave{ }$a}^9 z^3-15 \text{QuantumGroups$\grave{ }$a}^7 z^3+6 \text{QuantumGroups$\grave{ }$a}^5 z^3+22 \text{QuantumGroups$\grave{ }$a}^3 z^3+2 \text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^2-6 \text{QuantumGroups$\grave{ }$a}^8 z^2+11 \text{QuantumGroups$\grave{ }$a}^6 z^2+33 \text{QuantumGroups$\grave{ }$a}^4 z^2+23 \text{QuantumGroups$\grave{ }$a}^2 z^2+5 z^2+\text{QuantumGroups$\grave{ }$a}^9 z+6 \text{QuantumGroups$\grave{ }$a}^7 z+6 \text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a} z-2 \text{QuantumGroups$\grave{ }$a}^6-4 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2+1}

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