K14a1354

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1354

Polynomial invariants

Jones polynomial	Data:K14a1354/Jones Polynomial
Alexander polynomial	$-3t^{4}+18t^{3}-47t^{2}+78t-91+78t^{-1}-47t^{-2}+18t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a1354/Conway Polynomial
Determinant	Data:K14a1354/Determinant
Signature	Data:K14a1354/Signature
HOMFLY-PT polynomial	$-z^{4}a^{8}-3z^{2}a^{8}-2a^{8}+3z^{6}a^{6}+11z^{4}a^{6}+13z^{2}a^{6}+5a^{6}-2z^{8}a^{4}-9z^{6}a^{4}-16z^{4}a^{4}-14z^{2}a^{4}-5a^{4}-z^{8}a^{2}-2z^{6}a^{2}+z^{4}a^{2}+3z^{2}a^{2}+a^{2}+2z^{6}+7z^{4}+8z^{2}+4-z^{4}a^{-2}-3z^{2}a^{-2}-2a^{-2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a}^5 z^{13}+\text{QuantumGroups$\grave{ }$a}^3 z^{13}+5 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+4 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+20 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+16 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+6 \text{QuantumGroups$\grave{ }$a} z^{11}+11 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-5 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+6 z^{10}+8 \text{QuantumGroups$\grave{ }$a}^9 z^9-17 \text{QuantumGroups$\grave{ }$a}^7 z^9-65 \text{QuantumGroups$\grave{ }$a}^5 z^9-52 \text{QuantumGroups$\grave{ }$a}^3 z^9-7 \text{QuantumGroups$\grave{ }$a} z^9+5 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-25 \text{QuantumGroups$\grave{ }$a}^8 z^8-55 \text{QuantumGroups$\grave{ }$a}^6 z^8-36 \text{QuantumGroups$\grave{ }$a}^4 z^8-22 \text{QuantumGroups$\grave{ }$a}^2 z^8+3 z^8 $Failed^{-1} -9 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-19 \text{QuantumGroups$\grave{ }$a}^9 z^7+7 \text{QuantumGroups$\grave{ }$a}^7 z^7+98 \text{QuantumGroups$\grave{ }$a}^5 z^7+82 \text{QuantumGroups$\grave{ }$a}^3 z^7-2 \text{QuantumGroups$\grave{ }$a} z^7-12 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^{10} z^6+19 \text{QuantumGroups$\grave{ }$a}^8 z^6+91 \text{QuantumGroups$\grave{ }$a}^6 z^6+91 \text{QuantumGroups$\grave{ }$a}^4 z^6+34 \text{QuantumGroups$\grave{ }$a}^2 z^6-10 z^6 $Failed^{-1} -6 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+11 \text{QuantumGroups$\grave{ }$a}^9 z^5-7 \text{QuantumGroups$\grave{ }$a}^7 z^5-81 \text{QuantumGroups$\grave{ }$a}^5 z^5-67 \text{QuantumGroups$\grave{ }$a}^3 z^5+2 \text{QuantumGroups$\grave{ }$a} z^5+5 z^5 $Failed^{-1} -4 z^5 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^{10} z^4-15 \text{QuantumGroups$\grave{ }$a}^8 z^4-80 \text{QuantumGroups$\grave{ }$a}^6 z^4-85 \text{QuantumGroups$\grave{ }$a}^4 z^4-24 \text{QuantumGroups$\grave{ }$a}^2 z^4+11 z^4 $Failed^{-1} +16 z^4+3 \text{QuantumGroups$\grave{ }$a}^{11} z^3-\text{QuantumGroups$\grave{ }$a}^9 z^3+5 \text{QuantumGroups$\grave{ }$a}^7 z^3+36 \text{QuantumGroups$\grave{ }$a}^5 z^3+31 \text{QuantumGroups$\grave{ }$a}^3 z^3+3 \text{QuantumGroups$\grave{ }$a} z^3+4 z^3 $Failed^{-1} +5 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^2+9 \text{QuantumGroups$\grave{ }$a}^8 z^2+33 \text{QuantumGroups$\grave{ }$a}^6 z^2+36 \text{QuantumGroups$\grave{ }$a}^4 z^2+8 \text{QuantumGroups$\grave{ }$a}^2 z^2-6 z^2 $Failed^{-1} -12 z^2-\text{QuantumGroups$\grave{ }$a}^{11} z-2 \text{QuantumGroups$\grave{ }$a}^7 z-7 \text{QuantumGroups$\grave{ }$a}^5 z-6 \text{QuantumGroups$\grave{ }$a}^3 z-3 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-\text{QuantumGroups$\grave{ }$a}^2+2 $Failed^{-1} +4}

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