K14a5910

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a5910

Polynomial invariants

Jones polynomial	Data:K14a5910/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+26t^{3}-56t^{2}+89t-103+89t^{-1}-56t^{-2}+26t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a5910/Conway Polynomial
Determinant	Data:K14a5910/Determinant
Signature	Data:K14a5910/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+6a^{2}z^{8}-2z^{8}+a^{6}z^{6}-10a^{4}z^{6}+15a^{2}z^{6}+z^{6}a^{-2}-10z^{6}+4a^{6}z^{4}-18a^{4}z^{4}+19a^{2}z^{4}+4z^{4}a^{-2}-19z^{4}+5a^{6}z^{2}-12a^{4}z^{2}+13a^{2}z^{2}+6z^{2}a^{-2}-16z^{2}+a^{6}-2a^{4}+4a^{2}+3a^{-2}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+2 \text{QuantumGroups$\grave{ }$a} z^{13}+7 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+14 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+7 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+22 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+20 \text{QuantumGroups$\grave{ }$a} z^{11}+11 z^{11} $Failed^{-1} +16 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-12 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+9 z^{10} $Failed^{-1} -z^{10}+14 \text{QuantumGroups$\grave{ }$a}^7 z^9-7 \text{QuantumGroups$\grave{ }$a}^5 z^9-50 \text{QuantumGroups$\grave{ }$a}^3 z^9-65 \text{QuantumGroups$\grave{ }$a} z^9-32 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^8 z^8-22 \text{QuantumGroups$\grave{ }$a}^6 z^8-54 \text{QuantumGroups$\grave{ }$a}^4 z^8-37 \text{QuantumGroups$\grave{ }$a}^2 z^8-32 z^8 $Failed^{-1} +z^8 $Failed^{-1} -47 z^8+4 \text{QuantumGroups$\grave{ }$a}^9 z^7-22 \text{QuantumGroups$\grave{ }$a}^7 z^7-16 \text{QuantumGroups$\grave{ }$a}^5 z^7+28 \text{QuantumGroups$\grave{ }$a}^3 z^7+62 \text{QuantumGroups$\grave{ }$a} z^7+30 z^7 $Failed^{-1} -14 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-15 \text{QuantumGroups$\grave{ }$a}^8 z^6+12 \text{QuantumGroups$\grave{ }$a}^6 z^6+58 \text{QuantumGroups$\grave{ }$a}^4 z^6+62 \text{QuantumGroups$\grave{ }$a}^2 z^6+41 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} +77 z^6-7 \text{QuantumGroups$\grave{ }$a}^9 z^5+14 \text{QuantumGroups$\grave{ }$a}^7 z^5+18 \text{QuantumGroups$\grave{ }$a}^5 z^5-2 \text{QuantumGroups$\grave{ }$a}^3 z^5-33 \text{QuantumGroups$\grave{ }$a} z^5-19 z^5 $Failed^{-1} +15 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^4+10 \text{QuantumGroups$\grave{ }$a}^8 z^4-4 \text{QuantumGroups$\grave{ }$a}^6 z^4-37 \text{QuantumGroups$\grave{ }$a}^4 z^4-49 \text{QuantumGroups$\grave{ }$a}^2 z^4-29 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} -62 z^4+4 \text{QuantumGroups$\grave{ }$a}^9 z^3-2 \text{QuantumGroups$\grave{ }$a}^7 z^3-4 \text{QuantumGroups$\grave{ }$a}^5 z^3-3 \text{QuantumGroups$\grave{ }$a}^3 z^3+13 \text{QuantumGroups$\grave{ }$a} z^3+13 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^2-3 \text{QuantumGroups$\grave{ }$a}^8 z^2+4 \text{QuantumGroups$\grave{ }$a}^6 z^2+15 \text{QuantumGroups$\grave{ }$a}^4 z^2+21 \text{QuantumGroups$\grave{ }$a}^2 z^2+14 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +30 z^2-\text{QuantumGroups$\grave{ }$a}^9 z-\text{QuantumGroups$\grave{ }$a}^7 z-3 \text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} -5}

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