K14n12506

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n12506

Polynomial invariants

Jones polynomial	Data:K14n12506/Jones Polynomial
Alexander polynomial	$t^{4}-9t^{3}+32t^{2}-63t+79-63t^{-1}+32t^{-2}-9t^{-3}+t^{-4}$
Conway polynomial	Data:K14n12506/Conway Polynomial
Determinant	Data:K14n12506/Determinant
Signature	Data:K14n12506/Signature
HOMFLY-PT polynomial	$z^{8}-2a^{2}z^{6}-3z^{6}a^{-2}+4z^{6}+a^{4}z^{4}-6a^{2}z^{4}-9z^{4}a^{-2}+2z^{4}a^{-4}+10z^{4}+2a^{4}z^{2}-8a^{2}z^{2}-10z^{2}a^{-2}+3z^{2}a^{-4}+13z^{2}+a^{4}-4a^{2}-4a^{-2}+a^{-4}+7$
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 z^{12} $Failed^{-1} +z^{12}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+8 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+14 z^{10} $Failed^{-1} +3 z^{10} $Failed^{-1} +21 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^3 z^9+16 \text{QuantumGroups$\grave{ }$a} z^9+13 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +z^9 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^4 z^8-7 \text{QuantumGroups$\grave{ }$a}^2 z^8-19 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -40 z^8+4 \text{QuantumGroups$\grave{ }$a}^5 z^7-17 \text{QuantumGroups$\grave{ }$a}^3 z^7-58 \text{QuantumGroups$\grave{ }$a} z^7-71 z^7 $Failed^{-1} -27 z^7 $Failed^{-1} +7 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-14 \text{QuantumGroups$\grave{ }$a}^4 z^6-13 \text{QuantumGroups$\grave{ }$a}^2 z^6-21 z^6 $Failed^{-1} -24 z^6 $Failed^{-1} +3 z^6 $Failed^{-1} +8 z^6-8 \text{QuantumGroups$\grave{ }$a}^5 z^5+8 \text{QuantumGroups$\grave{ }$a}^3 z^5+65 \text{QuantumGroups$\grave{ }$a} z^5+80 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -18 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^4+8 \text{QuantumGroups$\grave{ }$a}^4 z^4+22 \text{QuantumGroups$\grave{ }$a}^2 z^4+42 z^4 $Failed^{-1} +17 z^4 $Failed^{-1} -5 z^4 $Failed^{-1} +32 z^4+5 \text{QuantumGroups$\grave{ }$a}^5 z^3-\text{QuantumGroups$\grave{ }$a}^3 z^3-28 \text{QuantumGroups$\grave{ }$a} z^3-30 z^3 $Failed^{-1} +z^3 $Failed^{-1} +9 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^2-3 \text{QuantumGroups$\grave{ }$a}^4 z^2-15 \text{QuantumGroups$\grave{ }$a}^2 z^2-21 z^2 $Failed^{-1} -6 z^2 $Failed^{-1} +z^2 $Failed^{-1} -25 z^2-\text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z+2 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4+4 \text{QuantumGroups$\grave{ }$a}^2+4 $Failed^{-1} + $Failed^{-1} +7}

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