K14n5911

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n5911

Polynomial invariants

Jones polynomial	Data:K14n5911/Jones Polynomial
Alexander polynomial	$-2t^{4}+14t^{3}-43t^{2}+82t-101+82t^{-1}-43t^{-2}+14t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n5911/Conway Polynomial
Determinant	Data:K14n5911/Determinant
Signature	Data:K14n5911/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-2a^{8}+3z^{6}a^{6}+9z^{4}a^{6}+11z^{2}a^{6}+5a^{6}-2z^{8}a^{4}-9z^{6}a^{4}-18z^{4}a^{4}-17z^{2}a^{4}-7a^{4}+4z^{6}a^{2}+13z^{4}a^{2}+16z^{2}a^{2}+7a^{2}-2z^{4}-4z^{2}-2$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+12 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+22 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+10 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+18 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+37 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+31 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^9 z^9+2 \text{QuantumGroups$\grave{ }$a}^7 z^9-21 \text{QuantumGroups$\grave{ }$a}^5 z^9-4 \text{QuantumGroups$\grave{ }$a}^3 z^9+6 \text{QuantumGroups$\grave{ }$a} z^9+5 \text{QuantumGroups$\grave{ }$a}^{10} z^8-39 \text{QuantumGroups$\grave{ }$a}^8 z^8-111 \text{QuantumGroups$\grave{ }$a}^6 z^8-94 \text{QuantumGroups$\grave{ }$a}^4 z^8-26 \text{QuantumGroups$\grave{ }$a}^2 z^8+z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-31 \text{QuantumGroups$\grave{ }$a}^9 z^7-66 \text{QuantumGroups$\grave{ }$a}^7 z^7-46 \text{QuantumGroups$\grave{ }$a}^5 z^7-17 \text{QuantumGroups$\grave{ }$a}^3 z^7-5 \text{QuantumGroups$\grave{ }$a} z^7-10 \text{QuantumGroups$\grave{ }$a}^{10} z^6+26 \text{QuantumGroups$\grave{ }$a}^8 z^6+105 \text{QuantumGroups$\grave{ }$a}^6 z^6+115 \text{QuantumGroups$\grave{ }$a}^4 z^6+54 \text{QuantumGroups$\grave{ }$a}^2 z^6+8 z^6-2 \text{QuantumGroups$\grave{ }$a}^{11} z^5+28 \text{QuantumGroups$\grave{ }$a}^9 z^5+77 \text{QuantumGroups$\grave{ }$a}^7 z^5+72 \text{QuantumGroups$\grave{ }$a}^5 z^5+36 \text{QuantumGroups$\grave{ }$a}^3 z^5+14 \text{QuantumGroups$\grave{ }$a} z^5+3 z^5 $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^{10} z^4-14 \text{QuantumGroups$\grave{ }$a}^8 z^4-58 \text{QuantumGroups$\grave{ }$a}^6 z^4-80 \text{QuantumGroups$\grave{ }$a}^4 z^4-56 \text{QuantumGroups$\grave{ }$a}^2 z^4-14 z^4+\text{QuantumGroups$\grave{ }$a}^{11} z^3-16 \text{QuantumGroups$\grave{ }$a}^9 z^3-40 \text{QuantumGroups$\grave{ }$a}^7 z^3-35 \text{QuantumGroups$\grave{ }$a}^5 z^3-24 \text{QuantumGroups$\grave{ }$a}^3 z^3-17 \text{QuantumGroups$\grave{ }$a} z^3-5 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^{10} z^2+7 \text{QuantumGroups$\grave{ }$a}^8 z^2+23 \text{QuantumGroups$\grave{ }$a}^6 z^2+36 \text{QuantumGroups$\grave{ }$a}^4 z^2+29 \text{QuantumGroups$\grave{ }$a}^2 z^2+8 z^2+5 \text{QuantumGroups$\grave{ }$a}^9 z+8 \text{QuantumGroups$\grave{ }$a}^7 z+6 \text{QuantumGroups$\grave{ }$a}^5 z+6 \text{QuantumGroups$\grave{ }$a}^3 z+5 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^6-7 \text{QuantumGroups$\grave{ }$a}^4-7 \text{QuantumGroups$\grave{ }$a}^2-2}

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