K14a6779

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6779

Polynomial invariants

Jones polynomial	Data:K14a6779/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+29t^{3}-64t^{2}+99t-113+99t^{-1}-64t^{-2}+29t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a6779/Conway Polynomial
Determinant	Data:K14a6779/Determinant
Signature	Data:K14a6779/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+6z^{8}a^{-2}-2z^{8}a^{-4}-2z^{8}+a^{2}z^{6}+16z^{6}a^{-2}-9z^{6}a^{-4}+z^{6}a^{-6}-9z^{6}+3a^{2}z^{4}+22z^{4}a^{-2}-14z^{4}a^{-4}+3z^{4}a^{-6}-14z^{4}+2a^{2}z^{2}+13z^{2}a^{-2}-8z^{2}a^{-4}+2z^{2}a^{-6}-8z^{2}+2a^{-2}-a^{-4}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +17 z^{12} $Failed^{-1} +9 z^{12} $Failed^{-1} +8 z^{12}+13 \text{QuantumGroups$\grave{ }$a} z^{11}+30 z^{11} $Failed^{-1} +35 z^{11} $Failed^{-1} +18 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-8 z^{10} $Failed^{-1} +21 z^{10} $Failed^{-1} +22 z^{10} $Failed^{-1} +4 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^3 z^9-35 \text{QuantumGroups$\grave{ }$a} z^9-103 z^9 $Failed^{-1} -97 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} +19 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-38 \text{QuantumGroups$\grave{ }$a}^2 z^8-86 z^8 $Failed^{-1} -94 z^8 $Failed^{-1} -34 z^8 $Failed^{-1} +12 z^8 $Failed^{-1} -77 z^8-17 \text{QuantumGroups$\grave{ }$a}^3 z^7+20 \text{QuantumGroups$\grave{ }$a} z^7+109 z^7 $Failed^{-1} +87 z^7 $Failed^{-1} -21 z^7 $Failed^{-1} -31 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^6+43 \text{QuantumGroups$\grave{ }$a}^2 z^6+149 z^6 $Failed^{-1} +112 z^6 $Failed^{-1} +16 z^6 $Failed^{-1} -19 z^6 $Failed^{-1} +z^6 $Failed^{-1} +119 z^6+17 \text{QuantumGroups$\grave{ }$a}^3 z^5+6 \text{QuantumGroups$\grave{ }$a} z^5-48 z^5 $Failed^{-1} -29 z^5 $Failed^{-1} +32 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} -7 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4 z^4-21 \text{QuantumGroups$\grave{ }$a}^2 z^4-101 z^4 $Failed^{-1} -60 z^4 $Failed^{-1} -z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -z^4 $Failed^{-1} -75 z^4-5 \text{QuantumGroups$\grave{ }$a}^3 z^3-5 \text{QuantumGroups$\grave{ }$a} z^3+6 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} -3 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^2+27 z^2 $Failed^{-1} +15 z^2 $Failed^{-1} +z^2 $Failed^{-1} -z^2 $Failed^{-1} +19 z^2+z $Failed^{-1} +z $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} }

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