K14a13628

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13628

Polynomial invariants

Jones polynomial	Data:K14a13628/Jones Polynomial
Alexander polynomial	$-4t^{4}+24t^{3}-65t^{2}+114t-137+114t^{-1}-65t^{-2}+24t^{-3}-4t^{-4}$
Conway polynomial	Data:K14a13628/Conway Polynomial
Determinant	Data:K14a13628/Determinant
Signature	Data:K14a13628/Signature
HOMFLY-PT polynomial	$z^{6}a^{8}+2z^{4}a^{8}-z^{2}a^{8}-3a^{8}-z^{8}a^{6}-2z^{6}a^{6}+z^{4}a^{6}+6z^{2}a^{6}+4a^{6}-2z^{8}a^{4}-6z^{6}a^{4}-5z^{4}a^{4}-z^{8}a^{2}-2z^{6}a^{2}-z^{4}a^{2}+z^{6}+2z^{4}+z^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 4 \text{QuantumGroups$\grave{ }$a}^7 z^{13}+4 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+10 \text{QuantumGroups$\grave{ }$a}^8 z^{12}+24 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+12 \text{QuantumGroups$\grave{ }$a}^9 z^{11}+15 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+28 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+25 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+10 \text{QuantumGroups$\grave{ }$a}^{10} z^{10}-15 \text{QuantumGroups$\grave{ }$a}^8 z^{10}-55 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-\text{QuantumGroups$\grave{ }$a}^4 z^{10}+29 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^{11} z^9-29 \text{QuantumGroups$\grave{ }$a}^9 z^9-54 \text{QuantumGroups$\grave{ }$a}^7 z^9-83 \text{QuantumGroups$\grave{ }$a}^5 z^9-40 \text{QuantumGroups$\grave{ }$a}^3 z^9+23 \text{QuantumGroups$\grave{ }$a} z^9+\text{QuantumGroups$\grave{ }$a}^{12} z^8-33 \text{QuantumGroups$\grave{ }$a}^{10} z^8-5 \text{QuantumGroups$\grave{ }$a}^8 z^8+61 \text{QuantumGroups$\grave{ }$a}^6 z^8-38 \text{QuantumGroups$\grave{ }$a}^4 z^8-57 \text{QuantumGroups$\grave{ }$a}^2 z^8+13 z^8-18 \text{QuantumGroups$\grave{ }$a}^{11} z^7+8 \text{QuantumGroups$\grave{ }$a}^9 z^7+47 \text{QuantumGroups$\grave{ }$a}^7 z^7+87 \text{QuantumGroups$\grave{ }$a}^5 z^7+20 \text{QuantumGroups$\grave{ }$a}^3 z^7-41 \text{QuantumGroups$\grave{ }$a} z^7+5 z^7 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^{12} z^6+34 \text{QuantumGroups$\grave{ }$a}^{10} z^6+9 \text{QuantumGroups$\grave{ }$a}^8 z^6-59 \text{QuantumGroups$\grave{ }$a}^6 z^6+36 \text{QuantumGroups$\grave{ }$a}^4 z^6+47 \text{QuantumGroups$\grave{ }$a}^2 z^6+z^6 $Failed^{-1} -19 z^6+20 \text{QuantumGroups$\grave{ }$a}^{11} z^5+24 \text{QuantumGroups$\grave{ }$a}^9 z^5-15 \text{QuantumGroups$\grave{ }$a}^7 z^5-53 \text{QuantumGroups$\grave{ }$a}^5 z^5+28 \text{QuantumGroups$\grave{ }$a} z^5-6 z^5 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^{12} z^4-10 \text{QuantumGroups$\grave{ }$a}^{10} z^4-6 \text{QuantumGroups$\grave{ }$a}^8 z^4+19 \text{QuantumGroups$\grave{ }$a}^6 z^4-10 \text{QuantumGroups$\grave{ }$a}^4 z^4-14 \text{QuantumGroups$\grave{ }$a}^2 z^4-z^4 $Failed^{-1} +8 z^4-5 \text{QuantumGroups$\grave{ }$a}^{11} z^3-17 \text{QuantumGroups$\grave{ }$a}^9 z^3-12 \text{QuantumGroups$\grave{ }$a}^7 z^3+9 \text{QuantumGroups$\grave{ }$a}^5 z^3+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3+z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^2+9 \text{QuantumGroups$\grave{ }$a}^8 z^2+5 \text{QuantumGroups$\grave{ }$a}^6 z^2+2 \text{QuantumGroups$\grave{ }$a}^2 z^2-z^2-2 \text{QuantumGroups$\grave{ }$a}^{11} z+4 \text{QuantumGroups$\grave{ }$a}^9 z+8 \text{QuantumGroups$\grave{ }$a}^7 z+2 \text{QuantumGroups$\grave{ }$a}^5 z-3 \text{QuantumGroups$\grave{ }$a}^8-4 \text{QuantumGroups$\grave{ }$a}^6}

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