K14a13966

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13966

Polynomial invariants

Jones polynomial	Data:K14a13966/Jones Polynomial
Alexander polynomial	$2t^{4}-17t^{3}+66t^{2}-144t+187-144t^{-1}+66t^{-2}-17t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a13966/Conway Polynomial
Determinant	Data:K14a13966/Determinant
Signature	Data:K14a13966/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-3a^{2}z^{6}+3z^{6}a^{-2}-z^{6}a^{-4}+3a^{4}z^{4}-3a^{2}z^{4}+8z^{4}a^{-2}-2z^{4}a^{-4}-2z^{4}-a^{6}z^{2}+2a^{4}z^{2}-a^{2}z^{2}+6z^{2}a^{-2}-3z^{2}a^{-4}-4z^{2}+a^{2}+a^{-2}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 \text{QuantumGroups$\grave{ }$a} z^{13}+5 z^{13} $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+19 z^{12} $Failed^{-1} +33 z^{12}+19 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+34 \text{QuantumGroups$\grave{ }$a} z^{11}+45 z^{11} $Failed^{-1} +30 z^{11} $Failed^{-1} +18 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-16 z^{10} $Failed^{-1} +26 z^{10} $Failed^{-1} -60 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^5 z^9-22 \text{QuantumGroups$\grave{ }$a}^3 z^9-103 \text{QuantumGroups$\grave{ }$a} z^9-164 z^9 $Failed^{-1} -81 z^9 $Failed^{-1} +14 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-32 \text{QuantumGroups$\grave{ }$a}^4 z^8-40 \text{QuantumGroups$\grave{ }$a}^2 z^8-56 z^8 $Failed^{-1} -73 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} +19 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-26 \text{QuantumGroups$\grave{ }$a}^5 z^7-12 \text{QuantumGroups$\grave{ }$a}^3 z^7+118 \text{QuantumGroups$\grave{ }$a} z^7+226 z^7 $Failed^{-1} +89 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+13 \text{QuantumGroups$\grave{ }$a}^4 z^6+35 \text{QuantumGroups$\grave{ }$a}^2 z^6+119 z^6 $Failed^{-1} +80 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +40 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+20 \text{QuantumGroups$\grave{ }$a}^5 z^5+20 \text{QuantumGroups$\grave{ }$a}^3 z^5-84 \text{QuantumGroups$\grave{ }$a} z^5-152 z^5 $Failed^{-1} -46 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4+4 \text{QuantumGroups$\grave{ }$a}^4 z^4-14 \text{QuantumGroups$\grave{ }$a}^2 z^4-81 z^4 $Failed^{-1} -42 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} -47 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-6 \text{QuantumGroups$\grave{ }$a}^5 z^3-2 \text{QuantumGroups$\grave{ }$a}^3 z^3+35 \text{QuantumGroups$\grave{ }$a} z^3+50 z^3 $Failed^{-1} +14 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2-2 \text{QuantumGroups$\grave{ }$a}^4 z^2+4 \text{QuantumGroups$\grave{ }$a}^2 z^2+20 z^2 $Failed^{-1} +9 z^2 $Failed^{-1} +15 z^2-2 \text{QuantumGroups$\grave{ }$a}^3 z-7 \text{QuantumGroups$\grave{ }$a} z-7 z $Failed^{-1} -2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -1}

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