K14a2554

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2554

Polynomial invariants

Jones polynomial	Data:K14a2554/Jones Polynomial
Alexander polynomial	$-t^{5}+8t^{4}-28t^{3}+64t^{2}-104t+123-104t^{-1}+64t^{-2}-28t^{-3}+8t^{-4}-t^{-5}$
Conway polynomial	Data:K14a2554/Conway Polynomial
Determinant	Data:K14a2554/Determinant
Signature	Data:K14a2554/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-6z^{8}-a^{4}z^{6}+10a^{2}z^{6}+10z^{6}a^{-2}-z^{6}a^{-4}-17z^{6}-4a^{4}z^{4}+21a^{2}z^{4}+21z^{4}a^{-2}-4z^{4}a^{-4}-28z^{4}-6a^{4}z^{2}+21a^{2}z^{2}+21z^{2}a^{-2}-6z^{2}a^{-4}-27z^{2}-3a^{4}+9a^{2}+9a^{-2}-3a^{-4}-11$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+8 z^{12} $Failed^{-1} +16 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+31 \text{QuantumGroups$\grave{ }$a} z^{11}+31 z^{11} $Failed^{-1} +14 z^{11} $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+16 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+16 z^{10} $Failed^{-1} +14 z^{10} $Failed^{-1} +4 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^5 z^9-18 \text{QuantumGroups$\grave{ }$a}^3 z^9-75 \text{QuantumGroups$\grave{ }$a} z^9-75 z^9 $Failed^{-1} -18 z^9 $Failed^{-1} +9 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-30 \text{QuantumGroups$\grave{ }$a}^4 z^8-79 \text{QuantumGroups$\grave{ }$a}^2 z^8-79 z^8 $Failed^{-1} -30 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -90 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-20 \text{QuantumGroups$\grave{ }$a}^5 z^7-3 \text{QuantumGroups$\grave{ }$a}^3 z^7+64 \text{QuantumGroups$\grave{ }$a} z^7+64 z^7 $Failed^{-1} -3 z^7 $Failed^{-1} -20 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+29 \text{QuantumGroups$\grave{ }$a}^4 z^6+117 \text{QuantumGroups$\grave{ }$a}^2 z^6+117 z^6 $Failed^{-1} +29 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +156 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+15 \text{QuantumGroups$\grave{ }$a}^5 z^5+16 \text{QuantumGroups$\grave{ }$a}^3 z^5-20 \text{QuantumGroups$\grave{ }$a} z^5-20 z^5 $Failed^{-1} +16 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4-23 \text{QuantumGroups$\grave{ }$a}^4 z^4-99 \text{QuantumGroups$\grave{ }$a}^2 z^4-99 z^4 $Failed^{-1} -23 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -136 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3-5 \text{QuantumGroups$\grave{ }$a}^5 z^3-13 \text{QuantumGroups$\grave{ }$a}^3 z^3-5 \text{QuantumGroups$\grave{ }$a} z^3-5 z^3 $Failed^{-1} -13 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+13 \text{QuantumGroups$\grave{ }$a}^4 z^2+46 \text{QuantumGroups$\grave{ }$a}^2 z^2+46 z^2 $Failed^{-1} +13 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +62 z^2-\text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+4 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +4 z $Failed^{-1} +z $Failed^{-1} -z $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4-9 \text{QuantumGroups$\grave{ }$a}^2-9 $Failed^{-1} -3 $Failed^{-1} -11}

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