K14a17477

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17477

Polynomial invariants

Jones polynomial	Data:K14a17477/Jones Polynomial
Alexander polynomial	$2t^{4}-17t^{3}+55t^{2}-101t+123-101t^{-1}+55t^{-2}-17t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a17477/Conway Polynomial
Determinant	Data:K14a17477/Determinant
Signature	Data:K14a17477/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+2z^{6}a^{-2}-2z^{6}a^{-4}+z^{6}+a^{4}z^{4}-3a^{2}z^{4}+2z^{4}a^{-2}-5z^{4}a^{-4}+z^{4}a^{-6}-3z^{4}+a^{4}z^{2}+a^{2}z^{2}+3z^{2}a^{-2}-3z^{2}a^{-4}+2z^{2}a^{-6}-6z^{2}+2a^{2}+2a^{-2}-3$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +15 z^{12} $Failed^{-1} +7 z^{12} $Failed^{-1} +8 z^{12}+17 \text{QuantumGroups$\grave{ }$a} z^{11}+27 z^{11} $Failed^{-1} +20 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +23 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-19 z^{10} $Failed^{-1} -8 z^{10} $Failed^{-1} +8 z^{10} $Failed^{-1} +20 z^{10}+21 \text{QuantumGroups$\grave{ }$a}^3 z^9-11 \text{QuantumGroups$\grave{ }$a} z^9-74 z^9 $Failed^{-1} -80 z^9 $Failed^{-1} -34 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^4 z^8-38 \text{QuantumGroups$\grave{ }$a}^2 z^8-29 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} +z^8 $Failed^{-1} -86 z^8+5 \text{QuantumGroups$\grave{ }$a}^5 z^7-38 \text{QuantumGroups$\grave{ }$a}^3 z^7-31 \text{QuantumGroups$\grave{ }$a} z^7+68 z^7 $Failed^{-1} +115 z^7 $Failed^{-1} +43 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-21 \text{QuantumGroups$\grave{ }$a}^4 z^6+21 \text{QuantumGroups$\grave{ }$a}^2 z^6+71 z^6 $Failed^{-1} +61 z^6 $Failed^{-1} +42 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +99 z^6-6 \text{QuantumGroups$\grave{ }$a}^5 z^5+26 \text{QuantumGroups$\grave{ }$a}^3 z^5+38 \text{QuantumGroups$\grave{ }$a} z^5-32 z^5 $Failed^{-1} -87 z^5 $Failed^{-1} -30 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^4+11 \text{QuantumGroups$\grave{ }$a}^4 z^4-9 \text{QuantumGroups$\grave{ }$a}^2 z^4-55 z^4 $Failed^{-1} -54 z^4 $Failed^{-1} -27 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -53 z^4+\text{QuantumGroups$\grave{ }$a}^5 z^3-10 \text{QuantumGroups$\grave{ }$a}^3 z^3-9 \text{QuantumGroups$\grave{ }$a} z^3+17 z^3 $Failed^{-1} +31 z^3 $Failed^{-1} +10 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^2+6 \text{QuantumGroups$\grave{ }$a}^2 z^2+18 z^2 $Failed^{-1} +15 z^2 $Failed^{-1} +8 z^2 $Failed^{-1} +20 z^2+\text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-5 z $Failed^{-1} -5 z $Failed^{-1} -2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -3}

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