K14a13295

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13295

Polynomial invariants

Jones polynomial	Data:K14a13295/Jones Polynomial
Alexander polynomial	$3t^{4}-23t^{3}+74t^{2}-139t+171-139t^{-1}+74t^{-2}-23t^{-3}+3t^{-4}$
Conway polynomial	Data:K14a13295/Conway Polynomial
Determinant	Data:K14a13295/Determinant
Signature	Data:K14a13295/Signature
HOMFLY-PT polynomial	$2z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+6z^{6}a^{-2}-3z^{6}a^{-4}+a^{4}z^{4}-3a^{2}z^{4}+7z^{4}a^{-2}-7z^{4}a^{-4}+z^{4}a^{-6}-3z^{4}+a^{4}z^{2}-a^{2}z^{2}+2z^{2}a^{-2}-5z^{2}a^{-4}+2z^{2}a^{-6}-z^{2}-a^{-2}-a^{-4}+a^{-6}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 z^{13} $Failed^{-1} +4 z^{13} $Failed^{-1} +30 z^{12} $Failed^{-1} +13 z^{12} $Failed^{-1} +17 z^{12}+31 \text{QuantumGroups$\grave{ }$a} z^{11}+55 z^{11} $Failed^{-1} +42 z^{11} $Failed^{-1} +18 z^{11} $Failed^{-1} +33 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-27 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} +13 z^{10} $Failed^{-1} +17 z^{10}+24 \text{QuantumGroups$\grave{ }$a}^3 z^9-50 \text{QuantumGroups$\grave{ }$a} z^9-164 z^9 $Failed^{-1} -137 z^9 $Failed^{-1} -42 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^4 z^8-66 \text{QuantumGroups$\grave{ }$a}^2 z^8-99 z^8 $Failed^{-1} -89 z^8 $Failed^{-1} -38 z^8 $Failed^{-1} +z^8 $Failed^{-1} -128 z^8+5 \text{QuantumGroups$\grave{ }$a}^5 z^7-41 \text{QuantumGroups$\grave{ }$a}^3 z^7+18 \text{QuantumGroups$\grave{ }$a} z^7+152 z^7 $Failed^{-1} +125 z^7 $Failed^{-1} +23 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-18 \text{QuantumGroups$\grave{ }$a}^4 z^6+60 \text{QuantumGroups$\grave{ }$a}^2 z^6+165 z^6 $Failed^{-1} +123 z^6 $Failed^{-1} +42 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} +166 z^6-6 \text{QuantumGroups$\grave{ }$a}^5 z^5+28 \text{QuantumGroups$\grave{ }$a}^3 z^5+16 \text{QuantumGroups$\grave{ }$a} z^5-57 z^5 $Failed^{-1} -55 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^4+7 \text{QuantumGroups$\grave{ }$a}^4 z^4-24 \text{QuantumGroups$\grave{ }$a}^2 z^4-96 z^4 $Failed^{-1} -75 z^4 $Failed^{-1} -26 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} -82 z^4+\text{QuantumGroups$\grave{ }$a}^5 z^3-7 \text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3+12 z^3 $Failed^{-1} +19 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4 z^2+4 \text{QuantumGroups$\grave{ }$a}^2 z^2+19 z^2 $Failed^{-1} +22 z^2 $Failed^{-1} +10 z^2 $Failed^{-1} -z^2 $Failed^{-1} +13 z^2-\text{QuantumGroups$\grave{ }$a} z-4 z $Failed^{-1} -6 z $Failed^{-1} -2 z $Failed^{-1} +z $Failed^{-1} + $Failed^{-1} - $Failed^{-1} - $Failed^{-1} +2}

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