K14a17920

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17920

Polynomial invariants

Jones polynomial	Data:K14a17920/Jones Polynomial
Alexander polynomial	$-t^{5}+9t^{4}-34t^{3}+80t^{2}-130t+153-130t^{-1}+80t^{-2}-34t^{-3}+9t^{-4}-t^{-5}$
Conway polynomial	Data:K14a17920/Conway Polynomial
Determinant	Data:K14a17920/Determinant
Signature	Data:K14a17920/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-5z^{8}-a^{4}z^{6}+7a^{2}z^{6}+8z^{6}a^{-2}-z^{6}a^{-4}-10z^{6}-2a^{4}z^{4}+7a^{2}z^{4}+10z^{4}a^{-2}-3z^{4}a^{-4}-6z^{4}-a^{4}z^{2}-a^{2}z^{2}+z^{2}a^{-2}-2z^{2}a^{-4}+6z^{2}-3a^{2}-3a^{-2}+7$
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 5 \text{QuantumGroups$\grave{ }$a} z^{13}+5 z^{13} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+16 z^{12} $Failed^{-1} +33 z^{12}+28 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+43 \text{QuantumGroups$\grave{ }$a} z^{11}+38 z^{11} $Failed^{-1} +23 z^{11} $Failed^{-1} +28 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-11 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} -55 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^5 z^9-46 \text{QuantumGroups$\grave{ }$a}^3 z^9-128 \text{QuantumGroups$\grave{ }$a} z^9-129 z^9 $Failed^{-1} -51 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^6 z^8-61 \text{QuantumGroups$\grave{ }$a}^4 z^8-81 \text{QuantumGroups$\grave{ }$a}^2 z^8-37 z^8 $Failed^{-1} -54 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} +8 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-34 \text{QuantumGroups$\grave{ }$a}^5 z^7+5 \text{QuantumGroups$\grave{ }$a}^3 z^7+132 \text{QuantumGroups$\grave{ }$a} z^7+169 z^7 $Failed^{-1} +43 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} -9 \text{QuantumGroups$\grave{ }$a}^6 z^6+42 \text{QuantumGroups$\grave{ }$a}^4 z^6+85 \text{QuantumGroups$\grave{ }$a}^2 z^6+69 z^6 $Failed^{-1} +52 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +40 z^6-\text{QuantumGroups$\grave{ }$a}^7 z^5+19 \text{QuantumGroups$\grave{ }$a}^5 z^5+13 \text{QuantumGroups$\grave{ }$a}^3 z^5-76 \text{QuantumGroups$\grave{ }$a} z^5-113 z^5 $Failed^{-1} -16 z^5 $Failed^{-1} +26 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^6 z^4-13 \text{QuantumGroups$\grave{ }$a}^4 z^4-30 \text{QuantumGroups$\grave{ }$a}^2 z^4-38 z^4 $Failed^{-1} -22 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -27 z^4-4 \text{QuantumGroups$\grave{ }$a}^5 z^3+\text{QuantumGroups$\grave{ }$a}^3 z^3+30 \text{QuantumGroups$\grave{ }$a} z^3+43 z^3 $Failed^{-1} +11 z^3 $Failed^{-1} -7 z^3 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^2-\text{QuantumGroups$\grave{ }$a}^2 z^2+3 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} -6 z^2+\text{QuantumGroups$\grave{ }$a}^5 z-2 \text{QuantumGroups$\grave{ }$a}^3 z-9 \text{QuantumGroups$\grave{ }$a} z-11 z $Failed^{-1} -5 z $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2+3 $Failed^{-1} +7}

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