K14a2001

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2001

Polynomial invariants

Jones polynomial	Data:K14a2001/Jones Polynomial
Alexander polynomial	$-t^{5}+7t^{4}-24t^{3}+54t^{2}-85t+99-85t^{-1}+54t^{-2}-24t^{-3}+7t^{-4}-t^{-5}$
Conway polynomial	Data:K14a2001/Conway Polynomial
Determinant	Data:K14a2001/Determinant
Signature	Data:K14a2001/Signature
HOMFLY-PT polynomial	$-z^{10}+2a^{2}z^{8}+2z^{8}a^{-2}-7z^{8}-a^{4}z^{6}+11a^{2}z^{6}+11z^{6}a^{-2}-z^{6}a^{-4}-23z^{6}-4a^{4}z^{4}+26a^{2}z^{4}+24z^{4}a^{-2}-4z^{4}a^{-4}-42z^{4}-7a^{4}z^{2}+31a^{2}z^{2}+24z^{2}a^{-2}-5z^{2}a^{-4}-41z^{2}-5a^{4}+15a^{2}+9a^{-2}-2a^{-4}-16$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a} z^{13}+z^{13} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+4 z^{12} $Failed^{-1} +9 z^{12}+11 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+23 \text{QuantumGroups$\grave{ }$a} z^{11}+20 z^{11} $Failed^{-1} +8 z^{11} $Failed^{-1} +13 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+20 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+19 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +16 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^5 z^9-11 \text{QuantumGroups$\grave{ }$a}^3 z^9-47 \text{QuantumGroups$\grave{ }$a} z^9-35 z^9 $Failed^{-1} +8 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-31 \text{QuantumGroups$\grave{ }$a}^4 z^8-88 \text{QuantumGroups$\grave{ }$a}^2 z^8-73 z^8 $Failed^{-1} -20 z^8 $Failed^{-1} +4 z^8 $Failed^{-1} -102 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-22 \text{QuantumGroups$\grave{ }$a}^5 z^7-23 \text{QuantumGroups$\grave{ }$a}^3 z^7+6 \text{QuantumGroups$\grave{ }$a} z^7-15 z^7 $Failed^{-1} -44 z^7 $Failed^{-1} -22 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+31 \text{QuantumGroups$\grave{ }$a}^4 z^6+134 \text{QuantumGroups$\grave{ }$a}^2 z^6+96 z^6 $Failed^{-1} +7 z^6 $Failed^{-1} -12 z^6 $Failed^{-1} +170 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+18 \text{QuantumGroups$\grave{ }$a}^5 z^5+49 \text{QuantumGroups$\grave{ }$a}^3 z^5+65 \text{QuantumGroups$\grave{ }$a} z^5+86 z^5 $Failed^{-1} +73 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} +7 \text{QuantumGroups$\grave{ }$a}^6 z^4-29 \text{QuantumGroups$\grave{ }$a}^4 z^4-117 \text{QuantumGroups$\grave{ }$a}^2 z^4-66 z^4 $Failed^{-1} +5 z^4 $Failed^{-1} +11 z^4 $Failed^{-1} -141 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3-10 \text{QuantumGroups$\grave{ }$a}^5 z^3-44 \text{QuantumGroups$\grave{ }$a}^3 z^3-69 \text{QuantumGroups$\grave{ }$a} z^3-76 z^3 $Failed^{-1} -52 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^6 z^2+18 \text{QuantumGroups$\grave{ }$a}^4 z^2+59 \text{QuantumGroups$\grave{ }$a}^2 z^2+31 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} +69 z^2-\text{QuantumGroups$\grave{ }$a}^7 z+4 \text{QuantumGroups$\grave{ }$a}^5 z+15 \text{QuantumGroups$\grave{ }$a}^3 z+23 \text{QuantumGroups$\grave{ }$a} z+24 z $Failed^{-1} +15 z $Failed^{-1} +4 z $Failed^{-1} -5 \text{QuantumGroups$\grave{ }$a}^4-15 \text{QuantumGroups$\grave{ }$a}^2-9 $Failed^{-1} -2 $Failed^{-1} -16}

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