K14a17973

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a17973

Polynomial invariants

Jones polynomial	Data:K14a17973/Jones Polynomial
Alexander polynomial	$-4t^{4}+25t^{3}-75t^{2}+138t-167+138t^{-1}-75t^{-2}+25t^{-3}-4t^{-4}$
Conway polynomial	Data:K14a17973/Conway Polynomial
Determinant	Data:K14a17973/Determinant
Signature	Data:K14a17973/Signature
HOMFLY-PT polynomial	$-2z^{8}a^{-2}-z^{8}a^{-4}-z^{8}+a^{2}z^{6}-5z^{6}a^{-2}-2z^{6}a^{-4}+z^{6}a^{-6}-2z^{6}+2a^{2}z^{4}-4z^{4}a^{-2}-3z^{4}a^{-4}+2z^{4}a^{-6}-2z^{4}+a^{2}z^{2}-2z^{2}a^{-2}-2z^{2}a^{-4}+2z^{2}a^{-6}-2a^{-2}+a^{-4}+2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 z^{13} $Failed^{-1} +5 z^{13} $Failed^{-1} +33 z^{12} $Failed^{-1} +19 z^{12} $Failed^{-1} +14 z^{12}+17 \text{QuantumGroups$\grave{ }$a} z^{11}+32 z^{11} $Failed^{-1} +49 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-57 z^{10} $Failed^{-1} +9 z^{10} $Failed^{-1} +37 z^{10} $Failed^{-1} -17 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^3 z^9-48 \text{QuantumGroups$\grave{ }$a} z^9-124 z^9 $Failed^{-1} -151 z^9 $Failed^{-1} -53 z^9 $Failed^{-1} +27 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^4 z^8-39 \text{QuantumGroups$\grave{ }$a}^2 z^8-8 z^8 $Failed^{-1} -99 z^8 $Failed^{-1} -71 z^8 $Failed^{-1} +14 z^8 $Failed^{-1} -34 z^8-16 \text{QuantumGroups$\grave{ }$a}^3 z^7+44 \text{QuantumGroups$\grave{ }$a} z^7+147 z^7 $Failed^{-1} +159 z^7 $Failed^{-1} +22 z^7 $Failed^{-1} -45 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4 z^6+44 \text{QuantumGroups$\grave{ }$a}^2 z^6+57 z^6 $Failed^{-1} +118 z^6 $Failed^{-1} +63 z^6 $Failed^{-1} -18 z^6 $Failed^{-1} +z^6 $Failed^{-1} +68 z^6+15 \text{QuantumGroups$\grave{ }$a}^3 z^5-16 \text{QuantumGroups$\grave{ }$a} z^5-90 z^5 $Failed^{-1} -99 z^5 $Failed^{-1} -z^5 $Failed^{-1} +34 z^5 $Failed^{-1} -5 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^4 z^4-22 \text{QuantumGroups$\grave{ }$a}^2 z^4-38 z^4 $Failed^{-1} -61 z^4 $Failed^{-1} -29 z^4 $Failed^{-1} +9 z^4 $Failed^{-1} -z^4 $Failed^{-1} -40 z^4-4 \text{QuantumGroups$\grave{ }$a}^3 z^3+4 \text{QuantumGroups$\grave{ }$a} z^3+33 z^3 $Failed^{-1} +40 z^3 $Failed^{-1} +4 z^3 $Failed^{-1} -10 z^3 $Failed^{-1} +z^3 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^2+5 z^2 $Failed^{-1} +11 z^2 $Failed^{-1} +6 z^2 $Failed^{-1} -z^2 $Failed^{-1} +5 z^2-2 \text{QuantumGroups$\grave{ }$a} z-6 z $Failed^{-1} -7 z $Failed^{-1} -3 z $Failed^{-1} +2 $Failed^{-1} + $Failed^{-1} +2}

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