K14a3215

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a3215

Polynomial invariants

Jones polynomial	Data:K14a3215/Jones Polynomial
Alexander polynomial	$-2t^{4}+18t^{3}-63t^{2}+126t-157+126t^{-1}-63t^{-2}+18t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a3215/Conway Polynomial
Determinant	Data:K14a3215/Determinant
Signature	Data:K14a3215/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-z^{6}a^{-2}-z^{6}a^{-4}+2z^{6}a^{-6}+2z^{6}-a^{2}z^{4}+z^{4}a^{-2}-z^{4}a^{-4}+3z^{4}a^{-6}-z^{4}a^{-8}+4z^{4}-2a^{2}z^{2}+4z^{2}a^{-2}-3z^{2}a^{-4}+3z^{2}a^{-6}-z^{2}a^{-8}+3z^{2}-a^{2}+3a^{-2}-3a^{-4}+2a^{-6}-a^{-8}+1$
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 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +7 z^{12} $Failed^{-1} +17 z^{12} $Failed^{-1} +10 z^{12} $Failed^{-1} +12 z^{11} $Failed^{-1} +31 z^{11} $Failed^{-1} +39 z^{11} $Failed^{-1} +20 z^{11} $Failed^{-1} +23 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} +22 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +13 z^{10}+9 \text{QuantumGroups$\grave{ }$a} z^9-2 z^9 $Failed^{-1} -53 z^9 $Failed^{-1} -85 z^9 $Failed^{-1} -30 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-75 z^8 $Failed^{-1} -95 z^8 $Failed^{-1} -100 z^8 $Failed^{-1} -49 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -22 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-20 \text{QuantumGroups$\grave{ }$a} z^7-39 z^7 $Failed^{-1} +48 z^7 $Failed^{-1} -29 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+70 z^6 $Failed^{-1} +110 z^6 $Failed^{-1} +117 z^6 $Failed^{-1} +47 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +10 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+17 \text{QuantumGroups$\grave{ }$a} z^5+54 z^5 $Failed^{-1} +43 z^5 $Failed^{-1} +5 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} +23 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^4-31 z^4 $Failed^{-1} -58 z^4 $Failed^{-1} -67 z^4 $Failed^{-1} -28 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} +2 z^4+3 \text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-30 z^3 $Failed^{-1} -28 z^3 $Failed^{-1} -14 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} +z^3 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2 z^2+11 z^2 $Failed^{-1} +19 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} +9 z^2 $Failed^{-1} -3 z^2-\text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+6 z $Failed^{-1} +7 z $Failed^{-1} +4 z $Failed^{-1} +4 z $Failed^{-1} +3 z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} -3 $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} +1}

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