K14a3301

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a3301

Polynomial invariants

Jones polynomial	Data:K14a3301/Jones Polynomial
Alexander polynomial	$-2t^{4}+17t^{3}-63t^{2}+130t-163+130t^{-1}-63t^{-2}+17t^{-3}-2t^{-4}$
Conway polynomial	Data:K14a3301/Conway Polynomial
Determinant	Data:K14a3301/Determinant
Signature	Data:K14a3301/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{8}a^{-4}-3z^{6}a^{-4}+z^{6}a^{-6}+3z^{6}-3a^{2}z^{4}+4z^{4}a^{-2}-7z^{4}a^{-4}+2z^{4}a^{-6}+3z^{4}+a^{4}z^{2}-2a^{2}z^{2}+7z^{2}a^{-2}-7z^{2}a^{-4}+2z^{2}a^{-6}-2z^{2}+a^{2}+4a^{-2}-3a^{-4}+a^{-6}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 z^{13} $Failed^{-1} +3 z^{13} $Failed^{-1} +23 z^{12} $Failed^{-1} +13 z^{12} $Failed^{-1} +10 z^{12}+14 \text{QuantumGroups$\grave{ }$a} z^{11}+33 z^{11} $Failed^{-1} +44 z^{11} $Failed^{-1} +25 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-18 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +29 z^{10} $Failed^{-1} +z^{10}+5 \text{QuantumGroups$\grave{ }$a}^3 z^9-32 \text{QuantumGroups$\grave{ }$a} z^9-107 z^9 $Failed^{-1} -122 z^9 $Failed^{-1} -29 z^9 $Failed^{-1} +23 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-33 \text{QuantumGroups$\grave{ }$a}^2 z^8-79 z^8 $Failed^{-1} -113 z^8 $Failed^{-1} -52 z^8 $Failed^{-1} +13 z^8 $Failed^{-1} -65 z^8-16 \text{QuantumGroups$\grave{ }$a}^3 z^7+12 \text{QuantumGroups$\grave{ }$a} z^7+103 z^7 $Failed^{-1} +104 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} -40 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^6+32 \text{QuantumGroups$\grave{ }$a}^2 z^6+135 z^6 $Failed^{-1} +139 z^6 $Failed^{-1} +37 z^6 $Failed^{-1} -19 z^6 $Failed^{-1} +z^6 $Failed^{-1} +88 z^6+17 \text{QuantumGroups$\grave{ }$a}^3 z^5+8 \text{QuantumGroups$\grave{ }$a} z^5-48 z^5 $Failed^{-1} -29 z^5 $Failed^{-1} +45 z^5 $Failed^{-1} +29 z^5 $Failed^{-1} -6 z^5 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^4 z^4-12 \text{QuantumGroups$\grave{ }$a}^2 z^4-94 z^4 $Failed^{-1} -77 z^4 $Failed^{-1} -10 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -z^4 $Failed^{-1} -52 z^4-6 \text{QuantumGroups$\grave{ }$a}^3 z^3-\text{QuantumGroups$\grave{ }$a} z^3+11 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -23 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} +z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4 z^2+3 \text{QuantumGroups$\grave{ }$a}^2 z^2+30 z^2 $Failed^{-1} +22 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +18 z^2-\text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} +2 z $Failed^{-1} +4 z $Failed^{-1} +2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} -3 $Failed^{-1} - $Failed^{-1} -2}

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