K14n11935

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11935

Polynomial invariants

Jones polynomial	Data:K14n11935/Jones Polynomial
Alexander polynomial	$-t^{4}+6t^{3}-18t^{2}+37t-47+37t^{-1}-18t^{-2}+6t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11935/Conway Polynomial
Determinant	Data:K14n11935/Determinant
Signature	Data:K14n11935/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-3z^{2}a^{8}-3a^{8}+2z^{6}a^{6}+8z^{4}a^{6}+12z^{2}a^{6}+5a^{6}-z^{8}a^{4}-5z^{6}a^{4}-10z^{4}a^{4}-6z^{2}a^{4}+z^{6}a^{2}+z^{4}a^{2}-2z^{2}a^{2}-3a^{2}+2z^{2}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^6 z^{12}+\text{QuantumGroups$\grave{ }$a}^4 z^{12}+3 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+5 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+\text{QuantumGroups$\grave{ }$a}^2 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^9 z^9-2 \text{QuantumGroups$\grave{ }$a}^7 z^9-13 \text{QuantumGroups$\grave{ }$a}^5 z^9-6 \text{QuantumGroups$\grave{ }$a}^3 z^9+3 \text{QuantumGroups$\grave{ }$a}^{10} z^8-12 \text{QuantumGroups$\grave{ }$a}^8 z^8-12 \text{QuantumGroups$\grave{ }$a}^6 z^8+4 \text{QuantumGroups$\grave{ }$a}^4 z^8+\text{QuantumGroups$\grave{ }$a}^2 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-15 \text{QuantumGroups$\grave{ }$a}^9 z^7-8 \text{QuantumGroups$\grave{ }$a}^7 z^7+24 \text{QuantumGroups$\grave{ }$a}^5 z^7+19 \text{QuantumGroups$\grave{ }$a}^3 z^7+3 \text{QuantumGroups$\grave{ }$a} z^7-10 \text{QuantumGroups$\grave{ }$a}^{10} z^6+8 \text{QuantumGroups$\grave{ }$a}^8 z^6+13 \text{QuantumGroups$\grave{ }$a}^6 z^6-7 \text{QuantumGroups$\grave{ }$a}^4 z^6-2 \text{QuantumGroups$\grave{ }$a}^2 z^6-4 \text{QuantumGroups$\grave{ }$a}^{11} z^5+12 \text{QuantumGroups$\grave{ }$a}^9 z^5+8 \text{QuantumGroups$\grave{ }$a}^7 z^5-24 \text{QuantumGroups$\grave{ }$a}^5 z^5-15 \text{QuantumGroups$\grave{ }$a}^3 z^5+\text{QuantumGroups$\grave{ }$a} z^5+9 \text{QuantumGroups$\grave{ }$a}^{10} z^4-10 \text{QuantumGroups$\grave{ }$a}^8 z^4-17 \text{QuantumGroups$\grave{ }$a}^6 z^4+11 \text{QuantumGroups$\grave{ }$a}^4 z^4+14 \text{QuantumGroups$\grave{ }$a}^2 z^4+5 z^4+5 \text{QuantumGroups$\grave{ }$a}^{11} z^3-4 \text{QuantumGroups$\grave{ }$a}^9 z^3-8 \text{QuantumGroups$\grave{ }$a}^7 z^3+6 \text{QuantumGroups$\grave{ }$a}^5 z^3-\text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3-2 \text{QuantumGroups$\grave{ }$a}^{10} z^2+10 \text{QuantumGroups$\grave{ }$a}^8 z^2+14 \text{QuantumGroups$\grave{ }$a}^6 z^2-7 \text{QuantumGroups$\grave{ }$a}^4 z^2-16 \text{QuantumGroups$\grave{ }$a}^2 z^2-7 z^2-2 \text{QuantumGroups$\grave{ }$a}^{11} z+\text{QuantumGroups$\grave{ }$a}^9 z+4 \text{QuantumGroups$\grave{ }$a}^7 z+3 \text{QuantumGroups$\grave{ }$a}^5 z+5 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z-3 \text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^6+3 \text{QuantumGroups$\grave{ }$a}^2+2}

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