K14a6003

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6003

Polynomial invariants

Jones polynomial	Data:K14a6003/Jones Polynomial
Alexander polynomial	$2t^{4}-20t^{3}+80t^{2}-172t+221-172t^{-1}+80t^{-2}-20t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a6003/Conway Polynomial
Determinant	Data:K14a6003/Determinant
Signature	Data:K14a6003/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-3a^{2}z^{6}+2z^{6}a^{-2}-z^{6}a^{-4}-2z^{6}+3a^{4}z^{4}+7z^{4}a^{-2}-z^{4}a^{-4}-9z^{4}-a^{6}z^{2}+a^{4}z^{2}+6a^{2}z^{2}+9z^{2}a^{-2}-2z^{2}a^{-4}-13z^{2}-a^{4}+4a^{2}+4a^{-2}-a^{-4}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 5 \text{QuantumGroups$\grave{ }$a} z^{13}+5 z^{13} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+21 z^{12} $Failed^{-1} +38 z^{12}+25 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+59 \text{QuantumGroups$\grave{ }$a} z^{11}+70 z^{11} $Failed^{-1} +36 z^{11} $Failed^{-1} +22 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+16 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+21 z^{10} $Failed^{-1} +33 z^{10} $Failed^{-1} -18 z^{10}+13 \text{QuantumGroups$\grave{ }$a}^5 z^9-33 \text{QuantumGroups$\grave{ }$a}^3 z^9-155 \text{QuantumGroups$\grave{ }$a} z^9-187 z^9 $Failed^{-1} -60 z^9 $Failed^{-1} +18 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-41 \text{QuantumGroups$\grave{ }$a}^4 z^8-103 \text{QuantumGroups$\grave{ }$a}^2 z^8-149 z^8 $Failed^{-1} -69 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -131 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-26 \text{QuantumGroups$\grave{ }$a}^5 z^7+\text{QuantumGroups$\grave{ }$a}^3 z^7+138 \text{QuantumGroups$\grave{ }$a} z^7+159 z^7 $Failed^{-1} +16 z^7 $Failed^{-1} -32 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+30 \text{QuantumGroups$\grave{ }$a}^4 z^6+127 \text{QuantumGroups$\grave{ }$a}^2 z^6+180 z^6 $Failed^{-1} +55 z^6 $Failed^{-1} -8 z^6 $Failed^{-1} +204 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+21 \text{QuantumGroups$\grave{ }$a}^5 z^5+19 \text{QuantumGroups$\grave{ }$a}^3 z^5-57 \text{QuantumGroups$\grave{ }$a} z^5-58 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^6 z^4-10 \text{QuantumGroups$\grave{ }$a}^4 z^4-77 \text{QuantumGroups$\grave{ }$a}^2 z^4-101 z^4 $Failed^{-1} -26 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} -133 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-8 \text{QuantumGroups$\grave{ }$a}^5 z^3-11 \text{QuantumGroups$\grave{ }$a}^3 z^3+8 \text{QuantumGroups$\grave{ }$a} z^3+7 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+3 \text{QuantumGroups$\grave{ }$a}^4 z^2+26 \text{QuantumGroups$\grave{ }$a}^2 z^2+30 z^2 $Failed^{-1} +8 z^2 $Failed^{-1} +43 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+2 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z+z $Failed^{-1} +2 z $Failed^{-1} +z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-4 $Failed^{-1} - $Failed^{-1} -5}

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