K14a6261

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6261

Polynomial invariants

Jones polynomial	Data:K14a6261/Jones Polynomial
Alexander polynomial	$2t^{4}-17t^{3}+65t^{2}-139t+179-139t^{-1}+65t^{-2}-17t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a6261/Conway Polynomial
Determinant	Data:K14a6261/Determinant
Signature	Data:K14a6261/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-3a^{2}z^{6}+3z^{6}a^{-2}-z^{6}a^{-4}+3a^{4}z^{4}-2a^{2}z^{4}+7z^{4}a^{-2}-2z^{4}a^{-4}-3z^{4}-a^{6}z^{2}+a^{4}z^{2}+3a^{2}z^{2}+5z^{2}a^{-2}-2z^{2}a^{-4}-6z^{2}-a^{4}+3a^{2}+a^{-2}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 \text{QuantumGroups$\grave{ }$a} z^{13}+4 z^{13} $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 z^{12} $Failed^{-1} +28 z^{12}+20 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+37 \text{QuantumGroups$\grave{ }$a} z^{11}+41 z^{11} $Failed^{-1} +24 z^{11} $Failed^{-1} +20 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-4 z^{10} $Failed^{-1} +22 z^{10} $Failed^{-1} -38 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^5 z^9-23 \text{QuantumGroups$\grave{ }$a}^3 z^9-101 \text{QuantumGroups$\grave{ }$a} z^9-135 z^9 $Failed^{-1} -57 z^9 $Failed^{-1} +13 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-38 \text{QuantumGroups$\grave{ }$a}^4 z^8-59 \text{QuantumGroups$\grave{ }$a}^2 z^8-64 z^8 $Failed^{-1} -59 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -16 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-28 \text{QuantumGroups$\grave{ }$a}^5 z^7-14 \text{QuantumGroups$\grave{ }$a}^3 z^7+101 \text{QuantumGroups$\grave{ }$a} z^7+170 z^7 $Failed^{-1} +51 z^7 $Failed^{-1} -32 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+22 \text{QuantumGroups$\grave{ }$a}^4 z^6+51 \text{QuantumGroups$\grave{ }$a}^2 z^6+110 z^6 $Failed^{-1} +60 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +58 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+23 \text{QuantumGroups$\grave{ }$a}^5 z^5+20 \text{QuantumGroups$\grave{ }$a}^3 z^5-66 \text{QuantumGroups$\grave{ }$a} z^5-102 z^5 $Failed^{-1} -16 z^5 $Failed^{-1} +23 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^6 z^4-6 \text{QuantumGroups$\grave{ }$a}^4 z^4-25 \text{QuantumGroups$\grave{ }$a}^2 z^4-64 z^4 $Failed^{-1} -28 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -44 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-9 \text{QuantumGroups$\grave{ }$a}^5 z^3-5 \text{QuantumGroups$\grave{ }$a}^3 z^3+27 \text{QuantumGroups$\grave{ }$a} z^3+30 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+2 \text{QuantumGroups$\grave{ }$a}^4 z^2+12 \text{QuantumGroups$\grave{ }$a}^2 z^2+13 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} +16 z^2+\text{QuantumGroups$\grave{ }$a}^5 z-4 \text{QuantumGroups$\grave{ }$a} z-4 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-3 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -2}

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