K14n10728

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n10728

Polynomial invariants

Jones polynomial	Data:K14n10728/Jones Polynomial
Alexander polynomial	$-t^{4}+7t^{3}-24t^{2}+50t-63+50t^{-1}-24t^{-2}+7t^{-3}-t^{-4}$
Conway polynomial	Data:K14n10728/Conway Polynomial
Determinant	Data:K14n10728/Determinant
Signature	Data:K14n10728/Signature
HOMFLY-PT polynomial	$z^{2}a^{10}+a^{10}-3z^{4}a^{8}-6z^{2}a^{8}-4a^{8}+3z^{6}a^{6}+10z^{4}a^{6}+13z^{2}a^{6}+6a^{6}-z^{8}a^{4}-5z^{6}a^{4}-12z^{4}a^{4}-12z^{2}a^{4}-5a^{4}+z^{6}a^{2}+3z^{4}a^{2}+5z^{2}a^{2}+3a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^8 \text{QuantumGroups$\grave{ }$a}^{12}-4 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-2 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+4 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-16 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+21 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-11 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+2 z \text{QuantumGroups$\grave{ }$a}^{11}+7 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-25 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+25 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-8 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-\text{QuantumGroups$\grave{ }$a}^{10}+6 z^{11} \text{QuantumGroups$\grave{ }$a}^9-12 z^9 \text{QuantumGroups$\grave{ }$a}^9-14 z^7 \text{QuantumGroups$\grave{ }$a}^9+33 z^5 \text{QuantumGroups$\grave{ }$a}^9-17 z^3 \text{QuantumGroups$\grave{ }$a}^9+4 z \text{QuantumGroups$\grave{ }$a}^9+2 z^{12} \text{QuantumGroups$\grave{ }$a}^8+11 z^{10} \text{QuantumGroups$\grave{ }$a}^8-57 z^8 \text{QuantumGroups$\grave{ }$a}^8+67 z^6 \text{QuantumGroups$\grave{ }$a}^8-37 z^4 \text{QuantumGroups$\grave{ }$a}^8+17 z^2 \text{QuantumGroups$\grave{ }$a}^8-4 \text{QuantumGroups$\grave{ }$a}^8+12 z^{11} \text{QuantumGroups$\grave{ }$a}^7-31 z^9 \text{QuantumGroups$\grave{ }$a}^7+15 z^7 \text{QuantumGroups$\grave{ }$a}^7-2 z^5 \text{QuantumGroups$\grave{ }$a}^7+2 z^3 \text{QuantumGroups$\grave{ }$a}^7+2 z^{12} \text{QuantumGroups$\grave{ }$a}^6+10 z^{10} \text{QuantumGroups$\grave{ }$a}^6-44 z^8 \text{QuantumGroups$\grave{ }$a}^6+57 z^6 \text{QuantumGroups$\grave{ }$a}^6-51 z^4 \text{QuantumGroups$\grave{ }$a}^6+28 z^2 \text{QuantumGroups$\grave{ }$a}^6-6 \text{QuantumGroups$\grave{ }$a}^6+6 z^{11} \text{QuantumGroups$\grave{ }$a}^5-13 z^9 \text{QuantumGroups$\grave{ }$a}^5+21 z^7 \text{QuantumGroups$\grave{ }$a}^5-30 z^5 \text{QuantumGroups$\grave{ }$a}^5+16 z^3 \text{QuantumGroups$\grave{ }$a}^5-3 z \text{QuantumGroups$\grave{ }$a}^5+6 z^{10} \text{QuantumGroups$\grave{ }$a}^4-13 z^8 \text{QuantumGroups$\grave{ }$a}^4+30 z^6 \text{QuantumGroups$\grave{ }$a}^4-41 z^4 \text{QuantumGroups$\grave{ }$a}^4+24 z^2 \text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^4+2 z^9 \text{QuantumGroups$\grave{ }$a}^3+8 z^7 \text{QuantumGroups$\grave{ }$a}^3-12 z^5 \text{QuantumGroups$\grave{ }$a}^3+7 z^3 \text{QuantumGroups$\grave{ }$a}^3-z \text{QuantumGroups$\grave{ }$a}^3+11 z^6 \text{QuantumGroups$\grave{ }$a}^2-13 z^4 \text{QuantumGroups$\grave{ }$a}^2+9 z^2 \text{QuantumGroups$\grave{ }$a}^2-3 \text{QuantumGroups$\grave{ }$a}^2+4 z^5 \text{QuantumGroups$\grave{ }$a}-z^3 \text{QuantumGroups$\grave{ }$a}+z^4}

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