K14a13424

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a13424

Polynomial invariants

Jones polynomial	Data:K14a13424/Jones Polynomial
Alexander polynomial	$-t^{5}+10t^{4}-43t^{3}+107t^{2}-177t+209-177t^{-1}+107t^{-2}-43t^{-3}+10t^{-4}-t^{-5}$
Conway polynomial	Data:K14a13424/Conway Polynomial
Determinant	Data:K14a13424/Determinant
Signature	Data:K14a13424/Signature
HOMFLY-PT polynomial	$z^{4}a^{10}+z^{2}a^{10}-3z^{6}a^{8}-7z^{4}a^{8}-4z^{2}a^{8}+3z^{8}a^{6}+10z^{6}a^{6}+12z^{4}a^{6}+7z^{2}a^{6}+2a^{6}-z^{10}a^{4}-4z^{8}a^{4}-7z^{6}a^{4}-8z^{4}a^{4}-8z^{2}a^{4}-5a^{4}+z^{8}a^{2}+2z^{6}a^{2}+z^{4}a^{2}+3z^{2}a^{2}+4a^{2}$
Kauffman polynomial	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^6 \text{QuantumGroups$\grave{ }$a}^{14}+6 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-3 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+18 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-17 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+5 z^4 \text{QuantumGroups$\grave{ }$a}^{12}+36 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-48 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+24 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-4 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+52 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-83 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+49 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-11 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+z^2 \text{QuantumGroups$\grave{ }$a}^{10}+52 z^{11} \text{QuantumGroups$\grave{ }$a}^9-69 z^9 \text{QuantumGroups$\grave{ }$a}^9+30 z^5 \text{QuantumGroups$\grave{ }$a}^9-9 z^3 \text{QuantumGroups$\grave{ }$a}^9+z \text{QuantumGroups$\grave{ }$a}^9+31 z^{12} \text{QuantumGroups$\grave{ }$a}^8+26 z^{10} \text{QuantumGroups$\grave{ }$a}^8-192 z^8 \text{QuantumGroups$\grave{ }$a}^8+193 z^6 \text{QuantumGroups$\grave{ }$a}^8-61 z^4 \text{QuantumGroups$\grave{ }$a}^8+z^2 \text{QuantumGroups$\grave{ }$a}^8+8 z^{13} \text{QuantumGroups$\grave{ }$a}^7+96 z^{11} \text{QuantumGroups$\grave{ }$a}^7-275 z^9 \text{QuantumGroups$\grave{ }$a}^7+213 z^7 \text{QuantumGroups$\grave{ }$a}^7-42 z^5 \text{QuantumGroups$\grave{ }$a}^7-14 z^3 \text{QuantumGroups$\grave{ }$a}^7+7 z \text{QuantumGroups$\grave{ }$a}^7+58 z^{12} \text{QuantumGroups$\grave{ }$a}^6-62 z^{10} \text{QuantumGroups$\grave{ }$a}^6-147 z^8 \text{QuantumGroups$\grave{ }$a}^6+223 z^6 \text{QuantumGroups$\grave{ }$a}^6-87 z^4 \text{QuantumGroups$\grave{ }$a}^6+7 z^2 \text{QuantumGroups$\grave{ }$a}^6-2 \text{QuantumGroups$\grave{ }$a}^6+8 z^{13} \text{QuantumGroups$\grave{ }$a}^5+79 z^{11} \text{QuantumGroups$\grave{ }$a}^5-262 z^9 \text{QuantumGroups$\grave{ }$a}^5+233 z^7 \text{QuantumGroups$\grave{ }$a}^5-65 z^5 \text{QuantumGroups$\grave{ }$a}^5-10 z^3 \text{QuantumGroups$\grave{ }$a}^5+10 z \text{QuantumGroups$\grave{ }$a}^5+27 z^{12} \text{QuantumGroups$\grave{ }$a}^4-14 z^{10} \text{QuantumGroups$\grave{ }$a}^4-110 z^8 \text{QuantumGroups$\grave{ }$a}^4+139 z^6 \text{QuantumGroups$\grave{ }$a}^4-53 z^4 \text{QuantumGroups$\grave{ }$a}^4+12 z^2 \text{QuantumGroups$\grave{ }$a}^4-5 \text{QuantumGroups$\grave{ }$a}^4+35 z^{11} \text{QuantumGroups$\grave{ }$a}^3-85 z^9 \text{QuantumGroups$\grave{ }$a}^3+62 z^7 \text{QuantumGroups$\grave{ }$a}^3-15 z^5 \text{QuantumGroups$\grave{ }$a}^3-z^3 \text{QuantumGroups$\grave{ }$a}^3+4 z \text{QuantumGroups$\grave{ }$a}^3+22 z^{10} \text{QuantumGroups$\grave{ }$a}^2-53 z^8 \text{QuantumGroups$\grave{ }$a}^2+41 z^6 \text{QuantumGroups$\grave{ }$a}^2-11 z^4 \text{QuantumGroups$\grave{ }$a}^2+5 z^2 \text{QuantumGroups$\grave{ }$a}^2-4 \text{QuantumGroups$\grave{ }$a}^2+7 z^9 \text{QuantumGroups$\grave{ }$a}-12 z^7 \text{QuantumGroups$\grave{ }$a}+5 z^5 \text{QuantumGroups$\grave{ }$a}+z^8-z^6}

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