K14a1797

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1797

Polynomial invariants

Jones polynomial	Data:K14a1797/Jones Polynomial
Alexander polynomial	$-3t^{4}+18t^{3}-48t^{2}+81t-95+81t^{-1}-48t^{-2}+18t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a1797/Conway Polynomial
Determinant	Data:K14a1797/Determinant
Signature	Data:K14a1797/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-a^{8}+3z^{6}a^{6}+10z^{4}a^{6}+10z^{2}a^{6}+3a^{6}-2z^{8}a^{4}-9z^{6}a^{4}-16z^{4}a^{4}-13z^{2}a^{4}-4a^{4}-z^{8}a^{2}-2z^{6}a^{2}+z^{4}a^{2}+3z^{2}a^{2}+a^{2}+2z^{6}+7z^{4}+8z^{2}+4-z^{4}a^{-2}-3z^{2}a^{-2}-2a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^5 z^{13}+\text{QuantumGroups$\grave{ }$a}^3 z^{13}+5 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+11 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+21 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+16 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+14 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+15 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-2 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^9 z^9-12 \text{QuantumGroups$\grave{ }$a}^7 z^9-60 \text{QuantumGroups$\grave{ }$a}^5 z^9-49 \text{QuantumGroups$\grave{ }$a}^3 z^9-7 \text{QuantumGroups$\grave{ }$a} z^9+5 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^{10} z^8-32 \text{QuantumGroups$\grave{ }$a}^8 z^8-73 \text{QuantumGroups$\grave{ }$a}^6 z^8-45 \text{QuantumGroups$\grave{ }$a}^4 z^8-21 \text{QuantumGroups$\grave{ }$a}^2 z^8+3 z^8 $Failed^{-1} -9 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-28 \text{QuantumGroups$\grave{ }$a}^9 z^7-23 \text{QuantumGroups$\grave{ }$a}^7 z^7+64 \text{QuantumGroups$\grave{ }$a}^5 z^7+69 \text{QuantumGroups$\grave{ }$a}^3 z^7-2 \text{QuantumGroups$\grave{ }$a} z^7-12 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^{10} z^6+17 \text{QuantumGroups$\grave{ }$a}^8 z^6+94 \text{QuantumGroups$\grave{ }$a}^6 z^6+92 \text{QuantumGroups$\grave{ }$a}^4 z^6+31 \text{QuantumGroups$\grave{ }$a}^2 z^6-10 z^6 $Failed^{-1} -6 z^6-2 \text{QuantumGroups$\grave{ }$a}^{11} z^5+19 \text{QuantumGroups$\grave{ }$a}^9 z^5+32 \text{QuantumGroups$\grave{ }$a}^7 z^5-29 \text{QuantumGroups$\grave{ }$a}^5 z^5-46 \text{QuantumGroups$\grave{ }$a}^3 z^5+3 \text{QuantumGroups$\grave{ }$a} z^5+5 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^{10} z^4-5 \text{QuantumGroups$\grave{ }$a}^8 z^4-55 \text{QuantumGroups$\grave{ }$a}^6 z^4-69 \text{QuantumGroups$\grave{ }$a}^4 z^4-21 \text{QuantumGroups$\grave{ }$a}^2 z^4+11 z^4 $Failed^{-1} +16 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-6 \text{QuantumGroups$\grave{ }$a}^9 z^3-11 \text{QuantumGroups$\grave{ }$a}^7 z^3+10 \text{QuantumGroups$\grave{ }$a}^5 z^3+15 \text{QuantumGroups$\grave{ }$a}^3 z^3+4 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+3 \text{QuantumGroups$\grave{ }$a}^8 z^2+18 \text{QuantumGroups$\grave{ }$a}^6 z^2+25 \text{QuantumGroups$\grave{ }$a}^4 z^2+5 \text{QuantumGroups$\grave{ }$a}^2 z^2-6 z^2 $Failed^{-1} -12 z^2+\text{QuantumGroups$\grave{ }$a}^9 z-2 \text{QuantumGroups$\grave{ }$a}^5 z-2 \text{QuantumGroups$\grave{ }$a}^3 z-2 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^6-4 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +4}

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