K14a14120

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a14120

Polynomial invariants

Jones polynomial	Data:K14a14120/Jones Polynomial
Alexander polynomial	$4t^{4}-23t^{3}+67t^{2}-119t+143-119t^{-1}+67t^{-2}-23t^{-3}+4t^{-4}$
Conway polynomial	Data:K14a14120/Conway Polynomial
Determinant	Data:K14a14120/Determinant
Signature	Data:K14a14120/Signature
HOMFLY-PT polynomial	$-z^{6}a^{10}-2z^{4}a^{10}-z^{2}a^{10}+z^{8}a^{8}+2z^{6}a^{8}-4z^{2}a^{8}-3a^{8}+2z^{8}a^{6}+7z^{6}a^{6}+12z^{4}a^{6}+12z^{2}a^{6}+4a^{6}+z^{8}a^{4}+2z^{6}a^{4}+z^{4}a^{4}-z^{6}a^{2}-2z^{4}a^{2}-z^{2}a^{2}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^7 \text{QuantumGroups$\grave{ }$a}^{15}-2 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+5 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-11 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+3 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+13 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-34 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+26 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-10 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+2 z \text{QuantumGroups$\grave{ }$a}^{13}+21 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-59 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+60 z^6 \text{QuantumGroups$\grave{ }$a}^{12}-29 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+6 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+21 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-47 z^9 \text{QuantumGroups$\grave{ }$a}^{11}+26 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+14 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-13 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+2 z \text{QuantumGroups$\grave{ }$a}^{11}+12 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+4 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-80 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+123 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-62 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+9 z^2 \text{QuantumGroups$\grave{ }$a}^{10}+3 z^{13} \text{QuantumGroups$\grave{ }$a}^9+36 z^{11} \text{QuantumGroups$\grave{ }$a}^9-112 z^9 \text{QuantumGroups$\grave{ }$a}^9+117 z^7 \text{QuantumGroups$\grave{ }$a}^9-32 z^5 \text{QuantumGroups$\grave{ }$a}^9-11 z^3 \text{QuantumGroups$\grave{ }$a}^9+5 z \text{QuantumGroups$\grave{ }$a}^9+22 z^{12} \text{QuantumGroups$\grave{ }$a}^8-22 z^{10} \text{QuantumGroups$\grave{ }$a}^8-48 z^8 \text{QuantumGroups$\grave{ }$a}^8+106 z^6 \text{QuantumGroups$\grave{ }$a}^8-73 z^4 \text{QuantumGroups$\grave{ }$a}^8+21 z^2 \text{QuantumGroups$\grave{ }$a}^8-3 \text{QuantumGroups$\grave{ }$a}^8+3 z^{13} \text{QuantumGroups$\grave{ }$a}^7+32 z^{11} \text{QuantumGroups$\grave{ }$a}^7-86 z^9 \text{QuantumGroups$\grave{ }$a}^7+75 z^7 \text{QuantumGroups$\grave{ }$a}^7-18 z^5 \text{QuantumGroups$\grave{ }$a}^7-15 z^3 \text{QuantumGroups$\grave{ }$a}^7+7 z \text{QuantumGroups$\grave{ }$a}^7+10 z^{12} \text{QuantumGroups$\grave{ }$a}^6+13 z^{10} \text{QuantumGroups$\grave{ }$a}^6-76 z^8 \text{QuantumGroups$\grave{ }$a}^6+95 z^6 \text{QuantumGroups$\grave{ }$a}^6-65 z^4 \text{QuantumGroups$\grave{ }$a}^6+24 z^2 \text{QuantumGroups$\grave{ }$a}^6-4 \text{QuantumGroups$\grave{ }$a}^6+17 z^{11} \text{QuantumGroups$\grave{ }$a}^5-22 z^9 \text{QuantumGroups$\grave{ }$a}^5-9 z^7 \text{QuantumGroups$\grave{ }$a}^5+21 z^5 \text{QuantumGroups$\grave{ }$a}^5-13 z^3 \text{QuantumGroups$\grave{ }$a}^5+3 z \text{QuantumGroups$\grave{ }$a}^5+18 z^{10} \text{QuantumGroups$\grave{ }$a}^4-39 z^8 \text{QuantumGroups$\grave{ }$a}^4+30 z^6 \text{QuantumGroups$\grave{ }$a}^4-15 z^4 \text{QuantumGroups$\grave{ }$a}^4+5 z^2 \text{QuantumGroups$\grave{ }$a}^4+12 z^9 \text{QuantumGroups$\grave{ }$a}^3-27 z^7 \text{QuantumGroups$\grave{ }$a}^3+19 z^5 \text{QuantumGroups$\grave{ }$a}^3-5 z^3 \text{QuantumGroups$\grave{ }$a}^3+z \text{QuantumGroups$\grave{ }$a}^3+5 z^8 \text{QuantumGroups$\grave{ }$a}^2-11 z^6 \text{QuantumGroups$\grave{ }$a}^2+7 z^4 \text{QuantumGroups$\grave{ }$a}^2-z^2 \text{QuantumGroups$\grave{ }$a}^2+z^7 \text{QuantumGroups$\grave{ }$a}-2 z^5 \text{QuantumGroups$\grave{ }$a}+z^3 \text{QuantumGroups$\grave{ }$a}}

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