K14a1788

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1788

Polynomial invariants

Jones polynomial	Data:K14a1788/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+51t^{2}-100t+125-100t^{-1}+51t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a1788/Conway Polynomial
Determinant	Data:K14a1788/Determinant
Signature	Data:K14a1788/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-2a^{2}z^{6}+3z^{6}a^{-2}-2z^{6}a^{-4}+2z^{6}+a^{4}z^{4}-4a^{2}z^{4}+7z^{4}a^{-2}-6z^{4}a^{-4}+z^{4}a^{-6}+2z^{4}+a^{4}z^{2}-3a^{2}z^{2}+9z^{2}a^{-2}-8z^{2}a^{-4}+2z^{2}a^{-6}+5a^{-2}-4a^{-4}+a^{-6}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +10 z^{12} $Failed^{-1} +4 z^{12} $Failed^{-1} +6 z^{12}+15 \text{QuantumGroups$\grave{ }$a} z^{11}+29 z^{11} $Failed^{-1} +21 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +21 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+15 z^{10} $Failed^{-1} +13 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +30 z^{10}+19 \text{QuantumGroups$\grave{ }$a}^3 z^9-3 \text{QuantumGroups$\grave{ }$a} z^9-60 z^9 $Failed^{-1} -52 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^4 z^8-32 \text{QuantumGroups$\grave{ }$a}^2 z^8-113 z^8 $Failed^{-1} -74 z^8 $Failed^{-1} -23 z^8 $Failed^{-1} +z^8 $Failed^{-1} -107 z^8+5 \text{QuantumGroups$\grave{ }$a}^5 z^7-32 \text{QuantumGroups$\grave{ }$a}^3 z^7-49 \text{QuantumGroups$\grave{ }$a} z^7+6 z^7 $Failed^{-1} +10 z^7 $Failed^{-1} -24 z^7 $Failed^{-1} -16 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-19 \text{QuantumGroups$\grave{ }$a}^4 z^6+11 \text{QuantumGroups$\grave{ }$a}^2 z^6+165 z^6 $Failed^{-1} +103 z^6 $Failed^{-1} +23 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +120 z^6-7 \text{QuantumGroups$\grave{ }$a}^5 z^5+18 \text{QuantumGroups$\grave{ }$a}^3 z^5+67 \text{QuantumGroups$\grave{ }$a} z^5+67 z^5 $Failed^{-1} +58 z^5 $Failed^{-1} +55 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^4+9 \text{QuantumGroups$\grave{ }$a}^4 z^4+5 \text{QuantumGroups$\grave{ }$a}^2 z^4-106 z^4 $Failed^{-1} -68 z^4 $Failed^{-1} -9 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -57 z^4+2 \text{QuantumGroups$\grave{ }$a}^5 z^3-5 \text{QuantumGroups$\grave{ }$a}^3 z^3-33 \text{QuantumGroups$\grave{ }$a} z^3-56 z^3 $Failed^{-1} -57 z^3 $Failed^{-1} -40 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4 z^2-3 \text{QuantumGroups$\grave{ }$a}^2 z^2+32 z^2 $Failed^{-1} +24 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +12 z^2+\text{QuantumGroups$\grave{ }$a}^3 z+6 \text{QuantumGroups$\grave{ }$a} z+13 z $Failed^{-1} +16 z $Failed^{-1} +11 z $Failed^{-1} +3 z $Failed^{-1} -5 $Failed^{-1} -4 $Failed^{-1} - $Failed^{-1} -1}

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