K14n11019

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11019

Polynomial invariants

Jones polynomial	Data:K14n11019/Jones Polynomial
Alexander polynomial	$-t^{4}+10t^{3}-32t^{2}+59t-71+59t^{-1}-32t^{-2}+10t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11019/Conway Polynomial
Determinant	Data:K14n11019/Determinant
Signature	Data:K14n11019/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-2z^{2}a^{8}-a^{8}+2z^{6}a^{6}+5z^{4}a^{6}+3z^{2}a^{6}-z^{8}a^{4}-3z^{6}a^{4}-3z^{4}a^{4}+a^{4}+3z^{6}a^{2}+9z^{4}a^{2}+8z^{2}a^{2}+2a^{2}-2z^{4}-4z^{2}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^6 z^{12}+\text{QuantumGroups$\grave{ }$a}^4 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+8 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+3 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+9 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+18 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^9 z^9+6 \text{QuantumGroups$\grave{ }$a}^7 z^9+5 \text{QuantumGroups$\grave{ }$a}^5 z^9+10 \text{QuantumGroups$\grave{ }$a}^3 z^9+3 \text{QuantumGroups$\grave{ }$a} z^9+4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-18 \text{QuantumGroups$\grave{ }$a}^8 z^8-41 \text{QuantumGroups$\grave{ }$a}^6 z^8-14 \text{QuantumGroups$\grave{ }$a}^4 z^8+6 \text{QuantumGroups$\grave{ }$a}^2 z^8+z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-21 \text{QuantumGroups$\grave{ }$a}^9 z^7-39 \text{QuantumGroups$\grave{ }$a}^7 z^7-38 \text{QuantumGroups$\grave{ }$a}^5 z^7-16 \text{QuantumGroups$\grave{ }$a}^3 z^7+5 \text{QuantumGroups$\grave{ }$a} z^7-11 \text{QuantumGroups$\grave{ }$a}^{10} z^6+7 \text{QuantumGroups$\grave{ }$a}^8 z^6+24 \text{QuantumGroups$\grave{ }$a}^6 z^6-11 \text{QuantumGroups$\grave{ }$a}^4 z^6-11 \text{QuantumGroups$\grave{ }$a}^2 z^6+6 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+17 \text{QuantumGroups$\grave{ }$a}^9 z^5+41 \text{QuantumGroups$\grave{ }$a}^7 z^5+34 \text{QuantumGroups$\grave{ }$a}^5 z^5+2 \text{QuantumGroups$\grave{ }$a}^3 z^5-8 \text{QuantumGroups$\grave{ }$a} z^5+3 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^{10} z^4-2 \text{QuantumGroups$\grave{ }$a}^8 z^4-5 \text{QuantumGroups$\grave{ }$a}^6 z^4+17 \text{QuantumGroups$\grave{ }$a}^4 z^4+\text{QuantumGroups$\grave{ }$a}^2 z^4-10 z^4+3 \text{QuantumGroups$\grave{ }$a}^{11} z^3-7 \text{QuantumGroups$\grave{ }$a}^9 z^3-21 \text{QuantumGroups$\grave{ }$a}^7 z^3-12 \text{QuantumGroups$\grave{ }$a}^5 z^3+4 \text{QuantumGroups$\grave{ }$a}^3 z^3+\text{QuantumGroups$\grave{ }$a} z^3-4 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^2+4 \text{QuantumGroups$\grave{ }$a}^8 z^2-6 \text{QuantumGroups$\grave{ }$a}^4 z^2+5 \text{QuantumGroups$\grave{ }$a}^2 z^2+5 z^2-\text{QuantumGroups$\grave{ }$a}^{11} z+3 \text{QuantumGroups$\grave{ }$a}^9 z+5 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^8+\text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2-1}

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