K14a17459

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17459

Polynomial invariants

Jones polynomial	Data:K14a17459/Jones Polynomial
Alexander polynomial	$8t^{3}-36t^{2}+73t-89+73t^{-1}-36t^{-2}+8t^{-3}$
Conway polynomial	Data:K14a17459/Conway Polynomial
Determinant	Data:K14a17459/Determinant
Signature	Data:K14a17459/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-z^{2}a^{8}+z^{6}a^{6}-2z^{2}a^{6}+3z^{6}a^{4}+6z^{4}a^{4}+2z^{2}a^{4}-a^{4}+3z^{6}a^{2}+7z^{4}a^{2}+5z^{2}a^{2}+2a^{2}+z^{6}+z^{4}-z^{2}-z^{4}a^{-2}-2z^{2}a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^5 z^{13}+\text{QuantumGroups$\grave{ }$a}^3 z^{13}+4 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+13 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+12 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+7 \text{QuantumGroups$\grave{ }$a} z^{11}+10 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-15 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+7 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^9 z^9-14 \text{QuantumGroups$\grave{ }$a}^7 z^9-45 \text{QuantumGroups$\grave{ }$a}^5 z^9-52 \text{QuantumGroups$\grave{ }$a}^3 z^9-24 \text{QuantumGroups$\grave{ }$a} z^9+5 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-28 \text{QuantumGroups$\grave{ }$a}^8 z^8-41 \text{QuantumGroups$\grave{ }$a}^6 z^8-\text{QuantumGroups$\grave{ }$a}^4 z^8-20 \text{QuantumGroups$\grave{ }$a}^2 z^8+3 z^8 $Failed^{-1} -25 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-24 \text{QuantumGroups$\grave{ }$a}^9 z^7-6 \text{QuantumGroups$\grave{ }$a}^7 z^7+55 \text{QuantumGroups$\grave{ }$a}^5 z^7+96 \text{QuantumGroups$\grave{ }$a}^3 z^7+43 \text{QuantumGroups$\grave{ }$a} z^7-16 z^7 $Failed^{-1} +z^7 $Failed^{-1} -12 \text{QuantumGroups$\grave{ }$a}^{10} z^6+25 \text{QuantumGroups$\grave{ }$a}^8 z^6+57 \text{QuantumGroups$\grave{ }$a}^6 z^6+31 \text{QuantumGroups$\grave{ }$a}^4 z^6+63 \text{QuantumGroups$\grave{ }$a}^2 z^6-11 z^6 $Failed^{-1} +41 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+21 \text{QuantumGroups$\grave{ }$a}^9 z^5+21 \text{QuantumGroups$\grave{ }$a}^7 z^5-25 \text{QuantumGroups$\grave{ }$a}^5 z^5-83 \text{QuantumGroups$\grave{ }$a}^3 z^5-42 \text{QuantumGroups$\grave{ }$a} z^5+15 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^{10} z^4-15 \text{QuantumGroups$\grave{ }$a}^8 z^4-27 \text{QuantumGroups$\grave{ }$a}^6 z^4-21 \text{QuantumGroups$\grave{ }$a}^4 z^4-69 \text{QuantumGroups$\grave{ }$a}^2 z^4+11 z^4 $Failed^{-1} -40 z^4+2 \text{QuantumGroups$\grave{ }$a}^{11} z^3-10 \text{QuantumGroups$\grave{ }$a}^9 z^3-15 \text{QuantumGroups$\grave{ }$a}^7 z^3+14 \text{QuantumGroups$\grave{ }$a}^5 z^3+40 \text{QuantumGroups$\grave{ }$a}^3 z^3+14 \text{QuantumGroups$\grave{ }$a} z^3-5 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^2+3 \text{QuantumGroups$\grave{ }$a}^8 z^2+4 \text{QuantumGroups$\grave{ }$a}^6 z^2+9 \text{QuantumGroups$\grave{ }$a}^4 z^2+25 \text{QuantumGroups$\grave{ }$a}^2 z^2-2 z^2 $Failed^{-1} +13 z^2+2 \text{QuantumGroups$\grave{ }$a}^9 z+2 \text{QuantumGroups$\grave{ }$a}^7 z-5 \text{QuantumGroups$\grave{ }$a}^5 z-9 \text{QuantumGroups$\grave{ }$a}^3 z-4 \text{QuantumGroups$\grave{ }$a} z-\text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2}

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