K14n11003

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11003

Polynomial invariants

Jones polynomial	Data:K14n11003/Jones Polynomial
Alexander polynomial	$-t^{4}+6t^{3}-16t^{2}+28t-33+28t^{-1}-16t^{-2}+6t^{-3}-t^{-4}$
Conway polynomial	Data:K14n11003/Conway Polynomial
Determinant	Data:K14n11003/Determinant
Signature	Data:K14n11003/Signature
HOMFLY-PT polynomial	$-z^{2}a^{8}-2a^{8}+z^{6}a^{6}+5z^{4}a^{6}+10z^{2}a^{6}+7a^{6}-z^{8}a^{4}-6z^{6}a^{4}-16z^{4}a^{4}-21z^{2}a^{4}-11a^{4}+3z^{6}a^{2}+13z^{4}a^{2}+19z^{2}a^{2}+9a^{2}-2z^{4}-5z^{2}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+10 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 \text{QuantumGroups$\grave{ }$a}^7 z^9+\text{QuantumGroups$\grave{ }$a}^5 z^9+\text{QuantumGroups$\grave{ }$a}^3 z^9+4 \text{QuantumGroups$\grave{ }$a} z^9+\text{QuantumGroups$\grave{ }$a}^8 z^8-19 \text{QuantumGroups$\grave{ }$a}^6 z^8-41 \text{QuantumGroups$\grave{ }$a}^4 z^8-20 \text{QuantumGroups$\grave{ }$a}^2 z^8+z^8-11 \text{QuantumGroups$\grave{ }$a}^7 z^7-17 \text{QuantumGroups$\grave{ }$a}^5 z^7-18 \text{QuantumGroups$\grave{ }$a}^3 z^7-12 \text{QuantumGroups$\grave{ }$a} z^7+4 \text{QuantumGroups$\grave{ }$a}^8 z^6+44 \text{QuantumGroups$\grave{ }$a}^6 z^6+84 \text{QuantumGroups$\grave{ }$a}^4 z^6+48 \text{QuantumGroups$\grave{ }$a}^2 z^6+4 z^6+3 \text{QuantumGroups$\grave{ }$a}^9 z^5+19 \text{QuantumGroups$\grave{ }$a}^7 z^5+40 \text{QuantumGroups$\grave{ }$a}^5 z^5+42 \text{QuantumGroups$\grave{ }$a}^3 z^5+21 \text{QuantumGroups$\grave{ }$a} z^5+3 z^5 $Failed^{-1} -14 \text{QuantumGroups$\grave{ }$a}^8 z^4-54 \text{QuantumGroups$\grave{ }$a}^6 z^4-86 \text{QuantumGroups$\grave{ }$a}^4 z^4-62 \text{QuantumGroups$\grave{ }$a}^2 z^4-16 z^4-7 \text{QuantumGroups$\grave{ }$a}^9 z^3-21 \text{QuantumGroups$\grave{ }$a}^7 z^3-30 \text{QuantumGroups$\grave{ }$a}^5 z^3-30 \text{QuantumGroups$\grave{ }$a}^3 z^3-21 \text{QuantumGroups$\grave{ }$a} z^3-7 z^3 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^8 z^2+31 \text{QuantumGroups$\grave{ }$a}^6 z^2+50 \text{QuantumGroups$\grave{ }$a}^4 z^2+40 \text{QuantumGroups$\grave{ }$a}^2 z^2+12 z^2+3 \text{QuantumGroups$\grave{ }$a}^9 z+6 \text{QuantumGroups$\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{ }$a}^8-7 \text{QuantumGroups$\grave{ }$a}^6-11 \text{QuantumGroups$\grave{ }$a}^4-9 \text{QuantumGroups$\grave{ }$a}^2-2}

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