K14a13087

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13087

Polynomial invariants

Jones polynomial	Data:K14a13087/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+29t^{3}-66t^{2}+105t-121+105t^{-1}-66t^{-2}+29t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a13087/Conway Polynomial
Determinant	Data:K14a13087/Determinant
Signature	Data:K14a13087/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+6z^{8}a^{-2}-z^{8}a^{-4}-3z^{8}+3a^{2}z^{6}+16z^{6}a^{-2}-4z^{6}a^{-4}-15z^{6}-a^{4}z^{4}+12a^{2}z^{4}+22z^{4}a^{-2}-6z^{4}a^{-4}-29z^{4}-3a^{4}z^{2}+16a^{2}z^{2}+14z^{2}a^{-2}-3z^{2}a^{-4}-25z^{2}-2a^{4}+7a^{2}+3a^{-2}-7$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a} z^{13}+3 z^{13} $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 z^{12} $Failed^{-1} +22 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+18 \text{QuantumGroups$\grave{ }$a} z^{11}+45 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-12 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+23 z^{10} $Failed^{-1} +47 z^{10} $Failed^{-1} -40 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-26 \text{QuantumGroups$\grave{ }$a}^3 z^9-93 \text{QuantumGroups$\grave{ }$a} z^9-153 z^9 $Failed^{-1} -43 z^9 $Failed^{-1} +44 z^9 $Failed^{-1} -19 \text{QuantumGroups$\grave{ }$a}^4 z^8-31 \text{QuantumGroups$\grave{ }$a}^2 z^8-160 z^8 $Failed^{-1} -90 z^8 $Failed^{-1} +29 z^8 $Failed^{-1} -53 z^8-5 \text{QuantumGroups$\grave{ }$a}^5 z^7+27 \text{QuantumGroups$\grave{ }$a}^3 z^7+118 \text{QuantumGroups$\grave{ }$a} z^7+128 z^7 $Failed^{-1} -51 z^7 $Failed^{-1} -79 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} +33 \text{QuantumGroups$\grave{ }$a}^4 z^6+91 \text{QuantumGroups$\grave{ }$a}^2 z^6+177 z^6 $Failed^{-1} +42 z^6 $Failed^{-1} -36 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +152 z^6+9 \text{QuantumGroups$\grave{ }$a}^5 z^5+\text{QuantumGroups$\grave{ }$a}^3 z^5-43 \text{QuantumGroups$\grave{ }$a} z^5-11 z^5 $Failed^{-1} +84 z^5 $Failed^{-1} +51 z^5 $Failed^{-1} -8 z^5 $Failed^{-1} +z^5 $Failed^{-1} -26 \text{QuantumGroups$\grave{ }$a}^4 z^4-83 \text{QuantumGroups$\grave{ }$a}^2 z^4-79 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +17 z^4 $Failed^{-1} -z^4 $Failed^{-1} -120 z^4-7 \text{QuantumGroups$\grave{ }$a}^5 z^3-13 \text{QuantumGroups$\grave{ }$a}^3 z^3-9 \text{QuantumGroups$\grave{ }$a} z^3-27 z^3 $Failed^{-1} -38 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} +z^3 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^4 z^2+36 \text{QuantumGroups$\grave{ }$a}^2 z^2+18 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +45 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+5 \text{QuantumGroups$\grave{ }$a}^3 z+7 \text{QuantumGroups$\grave{ }$a} z+9 z $Failed^{-1} +6 z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-7 \text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} -7}

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