K14a1988

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a1988

Polynomial invariants

Jones polynomial	Data:K14a1988/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+54t^{2}-110t+139-110t^{-1}+54t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a1988/Conway Polynomial
Determinant	Data:K14a1988/Determinant
Signature	Data:K14a1988/Signature
HOMFLY-PT polynomial	$a^{2}z^{8}+z^{8}-a^{4}z^{6}+4a^{2}z^{6}-3z^{6}a^{-2}+z^{6}-3a^{4}z^{4}+11a^{2}z^{4}-6z^{4}a^{-2}+3z^{4}a^{-4}-z^{4}-5a^{4}z^{2}+13a^{2}z^{2}-6z^{2}a^{-2}+5z^{2}a^{-4}-z^{2}a^{-6}-3z^{2}-3a^{4}+6a^{2}-3a^{-2}+3a^{-4}-a^{-6}-1$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+7 z^{12} $Failed^{-1} +16 z^{12}+16 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+30 \text{QuantumGroups$\grave{ }$a} z^{11}+25 z^{11} $Failed^{-1} +11 z^{11} $Failed^{-1} +16 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+9 z^{10} $Failed^{-1} +11 z^{10} $Failed^{-1} -13 z^{10}+10 \text{QuantumGroups$\grave{ }$a}^5 z^9-35 \text{QuantumGroups$\grave{ }$a}^3 z^9-92 \text{QuantumGroups$\grave{ }$a} z^9-64 z^9 $Failed^{-1} -9 z^9 $Failed^{-1} +8 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-46 \text{QuantumGroups$\grave{ }$a}^4 z^8-62 \text{QuantumGroups$\grave{ }$a}^2 z^8-36 z^8 $Failed^{-1} -16 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -28 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-28 \text{QuantumGroups$\grave{ }$a}^5 z^7+23 \text{QuantumGroups$\grave{ }$a}^3 z^7+119 \text{QuantumGroups$\grave{ }$a} z^7+73 z^7 $Failed^{-1} -12 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+57 \text{QuantumGroups$\grave{ }$a}^4 z^6+106 \text{QuantumGroups$\grave{ }$a}^2 z^6+21 z^6 $Failed^{-1} -5 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +54 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+29 \text{QuantumGroups$\grave{ }$a}^5 z^5+11 \text{QuantumGroups$\grave{ }$a}^3 z^5-78 \text{QuantumGroups$\grave{ }$a} z^5-59 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} +10 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^4-41 \text{QuantumGroups$\grave{ }$a}^4 z^4-80 \text{QuantumGroups$\grave{ }$a}^2 z^4+7 z^4 $Failed^{-1} +21 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -37 z^4+2 \text{QuantumGroups$\grave{ }$a}^7 z^3-18 \text{QuantumGroups$\grave{ }$a}^5 z^3-21 \text{QuantumGroups$\grave{ }$a}^3 z^3+22 \text{QuantumGroups$\grave{ }$a} z^3+26 z^3 $Failed^{-1} +3 z^3 $Failed^{-1} +16 \text{QuantumGroups$\grave{ }$a}^4 z^2+30 \text{QuantumGroups$\grave{ }$a}^2 z^2-13 z^2 $Failed^{-1} -14 z^2 $Failed^{-1} -5 z^2 $Failed^{-1} +10 z^2+5 \text{QuantumGroups$\grave{ }$a}^5 z+7 \text{QuantumGroups$\grave{ }$a}^3 z-3 z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} -z $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2+3 $Failed^{-1} +3 $Failed^{-1} + $Failed^{-1} -1}

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