K14a969

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a969

Polynomial invariants

Jones polynomial	Data:K14a969/Jones Polynomial
Alexander polynomial	$-t^{4}+13t^{3}-60t^{2}+138t-179+138t^{-1}-60t^{-2}+13t^{-3}-t^{-4}$
Conway polynomial	Data:K14a969/Conway Polynomial
Determinant	Data:K14a969/Determinant
Signature	Data:K14a969/Signature
HOMFLY-PT polynomial	$-z^{8}a^{-2}-z^{6}a^{-2}+4z^{6}a^{-4}+2z^{6}-a^{2}z^{4}-z^{4}a^{-2}+4z^{4}a^{-4}-6z^{4}a^{-6}+2z^{4}-a^{2}z^{2}+2z^{2}a^{-2}-2z^{2}a^{-4}-5z^{2}a^{-6}+4z^{2}a^{-8}+z^{2}+2a^{-2}-4a^{-4}+a^{-6}+2a^{-8}-a^{-10}+1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +10 z^{12} $Failed^{-1} +18 z^{12} $Failed^{-1} +8 z^{12} $Failed^{-1} +20 z^{11} $Failed^{-1} +44 z^{11} $Failed^{-1} +38 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +31 z^{10} $Failed^{-1} +22 z^{10} $Failed^{-1} +26 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +21 z^{10}+13 \text{QuantumGroups$\grave{ }$a} z^9-21 z^9 $Failed^{-1} -92 z^9 $Failed^{-1} -77 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^8-123 z^8 $Failed^{-1} -145 z^8 $Failed^{-1} -100 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -43 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-27 \text{QuantumGroups$\grave{ }$a} z^7-19 z^7 $Failed^{-1} +48 z^7 $Failed^{-1} +36 z^7 $Failed^{-1} -23 z^7 $Failed^{-1} -19 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+142 z^6 $Failed^{-1} +195 z^6 $Failed^{-1} +127 z^6 $Failed^{-1} +19 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +35 z^6-2 \text{QuantumGroups$\grave{ }$a}^3 z^5+21 \text{QuantumGroups$\grave{ }$a} z^5+26 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +9 z^5 $Failed^{-1} +38 z^5 $Failed^{-1} +14 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^4-93 z^4 $Failed^{-1} -134 z^4 $Failed^{-1} -83 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -19 z^4+\text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-5 z^3 $Failed^{-1} +16 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -18 z^3 $Failed^{-1} -4 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^2 z^2+33 z^2 $Failed^{-1} +50 z^2 $Failed^{-1} +27 z^2 $Failed^{-1} -z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +5 z^2-4 z $Failed^{-1} -12 z $Failed^{-1} -9 z $Failed^{-1} -z $Failed^{-1} -2 $Failed^{-1} -4 $Failed^{-1} - $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} +1}

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