K14a13995

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13995

Polynomial invariants

Jones polynomial	Data:K14a13995/Jones Polynomial
Alexander polynomial	$2t^{5}-7t^{4}+17t^{3}-32t^{2}+46t-51+46t^{-1}-32t^{-2}+17t^{-3}-7t^{-4}+2t^{-5}$
Conway polynomial	Data:K14a13995/Conway Polynomial
Determinant	Data:K14a13995/Determinant
Signature	Data:K14a13995/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}+z^{10}-a^{4}z^{8}+7a^{2}z^{8}-z^{8}a^{-2}+8z^{8}-6a^{4}z^{6}+18a^{2}z^{6}-7z^{6}a^{-2}+26z^{6}-13a^{4}z^{4}+19a^{2}z^{4}-18z^{4}a^{-2}+42z^{4}-11a^{4}z^{2}+6a^{2}z^{2}-19z^{2}a^{-2}+33z^{2}-3a^{4}-6a^{-2}+10$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a} z^{13}+z^{13} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+3 z^{12} $Failed^{-1} +7 z^{12}+8 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+9 \text{QuantumGroups$\grave{ }$a} z^{11}+4 z^{11} $Failed^{-1} +3 z^{11} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-\text{QuantumGroups$\grave{ }$a}^2 z^{10}-14 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} -28 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^5 z^9-15 \text{QuantumGroups$\grave{ }$a}^3 z^9-44 \text{QuantumGroups$\grave{ }$a} z^9-34 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} +z^9 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^6 z^8-24 \text{QuantumGroups$\grave{ }$a}^4 z^8-20 \text{QuantumGroups$\grave{ }$a}^2 z^8+31 z^8 $Failed^{-1} -11 z^8 $Failed^{-1} +55 z^8+6 \text{QuantumGroups$\grave{ }$a}^7 z^7-19 \text{QuantumGroups$\grave{ }$a}^5 z^7+10 \text{QuantumGroups$\grave{ }$a}^3 z^7+82 \text{QuantumGroups$\grave{ }$a} z^7+80 z^7 $Failed^{-1} +26 z^7 $Failed^{-1} -7 z^7 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^8 z^6-13 \text{QuantumGroups$\grave{ }$a}^6 z^6+30 \text{QuantumGroups$\grave{ }$a}^4 z^6+35 \text{QuantumGroups$\grave{ }$a}^2 z^6-57 z^6 $Failed^{-1} +19 z^6 $Failed^{-1} -87 z^6+\text{QuantumGroups$\grave{ }$a}^9 z^5-8 \text{QuantumGroups$\grave{ }$a}^7 z^5+15 \text{QuantumGroups$\grave{ }$a}^5 z^5-2 \text{QuantumGroups$\grave{ }$a}^3 z^5-96 \text{QuantumGroups$\grave{ }$a} z^5-110 z^5 $Failed^{-1} -23 z^5 $Failed^{-1} +17 z^5 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^4+9 \text{QuantumGroups$\grave{ }$a}^6 z^4-27 \text{QuantumGroups$\grave{ }$a}^4 z^4-33 \text{QuantumGroups$\grave{ }$a}^2 z^4+66 z^4 $Failed^{-1} -10 z^4 $Failed^{-1} +83 z^4-2 \text{QuantumGroups$\grave{ }$a}^9 z^3+5 \text{QuantumGroups$\grave{ }$a}^7 z^3-2 \text{QuantumGroups$\grave{ }$a}^5 z^3-6 \text{QuantumGroups$\grave{ }$a}^3 z^3+53 \text{QuantumGroups$\grave{ }$a} z^3+81 z^3 $Failed^{-1} +15 z^3 $Failed^{-1} -16 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^2-\text{QuantumGroups$\grave{ }$a}^6 z^2+17 \text{QuantumGroups$\grave{ }$a}^4 z^2+7 \text{QuantumGroups$\grave{ }$a}^2 z^2-31 z^2 $Failed^{-1} -43 z^2+\text{QuantumGroups$\grave{ }$a}^9 z-2 \text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z-13 \text{QuantumGroups$\grave{ }$a} z-20 z $Failed^{-1} -4 z $Failed^{-1} +4 z $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4+6 $Failed^{-1} +10}

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