K14a2045

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2045

Polynomial invariants

Jones polynomial	Data:K14a2045/Jones Polynomial
Alexander polynomial	$2t^{4}-15t^{3}+44t^{2}-74t+87-74t^{-1}+44t^{-2}-15t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a2045/Conway Polynomial
Determinant	Data:K14a2045/Determinant
Signature	Data:K14a2045/Signature
HOMFLY-PT polynomial	$z^{4}a^{10}+3z^{2}a^{10}+2a^{10}-2z^{6}a^{8}-7z^{4}a^{8}-9z^{2}a^{8}-5a^{8}+z^{8}a^{6}+3z^{6}a^{6}+5z^{4}a^{6}+7z^{2}a^{6}+3a^{6}+z^{8}a^{4}+2z^{6}a^{4}+z^{2}a^{4}+2a^{4}-2z^{6}a^{2}-6z^{4}a^{2}-6z^{2}a^{2}-3a^{2}+z^{4}+3z^{2}+2$
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}-3 z^4 \text{QuantumGroups$\grave{ }$a}^{14}+2 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+3 z^7 \text{QuantumGroups$\grave{ }$a}^{13}-7 z^5 \text{QuantumGroups$\grave{ }$a}^{13}+3 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+6 z^8 \text{QuantumGroups$\grave{ }$a}^{12}-13 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+8 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-3 z^2 \text{QuantumGroups$\grave{ }$a}^{12}+10 z^9 \text{QuantumGroups$\grave{ }$a}^{11}-27 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+36 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-26 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+6 z \text{QuantumGroups$\grave{ }$a}^{11}+12 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-32 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+41 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-20 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+5 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-2 \text{QuantumGroups$\grave{ }$a}^{10}+10 z^{11} \text{QuantumGroups$\grave{ }$a}^9-18 z^9 \text{QuantumGroups$\grave{ }$a}^9+z^7 \text{QuantumGroups$\grave{ }$a}^9+38 z^5 \text{QuantumGroups$\grave{ }$a}^9-31 z^3 \text{QuantumGroups$\grave{ }$a}^9+9 z \text{QuantumGroups$\grave{ }$a}^9+5 z^{12} \text{QuantumGroups$\grave{ }$a}^8+7 z^{10} \text{QuantumGroups$\grave{ }$a}^8-53 z^8 \text{QuantumGroups$\grave{ }$a}^8+90 z^6 \text{QuantumGroups$\grave{ }$a}^8-57 z^4 \text{QuantumGroups$\grave{ }$a}^8+21 z^2 \text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^8+z^{13} \text{QuantumGroups$\grave{ }$a}^7+19 z^{11} \text{QuantumGroups$\grave{ }$a}^7-65 z^9 \text{QuantumGroups$\grave{ }$a}^7+90 z^7 \text{QuantumGroups$\grave{ }$a}^7-65 z^5 \text{QuantumGroups$\grave{ }$a}^7+25 z^3 \text{QuantumGroups$\grave{ }$a}^7-2 z \text{QuantumGroups$\grave{ }$a}^7+9 z^{12} \text{QuantumGroups$\grave{ }$a}^6-10 z^{10} \text{QuantumGroups$\grave{ }$a}^6-20 z^8 \text{QuantumGroups$\grave{ }$a}^6+36 z^6 \text{QuantumGroups$\grave{ }$a}^6-26 z^4 \text{QuantumGroups$\grave{ }$a}^6+9 z^2 \text{QuantumGroups$\grave{ }$a}^6-3 \text{QuantumGroups$\grave{ }$a}^6+z^{13} \text{QuantumGroups$\grave{ }$a}^5+15 z^{11} \text{QuantumGroups$\grave{ }$a}^5-54 z^9 \text{QuantumGroups$\grave{ }$a}^5+77 z^7 \text{QuantumGroups$\grave{ }$a}^5-81 z^5 \text{QuantumGroups$\grave{ }$a}^5+42 z^3 \text{QuantumGroups$\grave{ }$a}^5-7 z \text{QuantumGroups$\grave{ }$a}^5+4 z^{12} \text{QuantumGroups$\grave{ }$a}^4-20 z^8 \text{QuantumGroups$\grave{ }$a}^4+10 z^6 \text{QuantumGroups$\grave{ }$a}^4+7 z^4 \text{QuantumGroups$\grave{ }$a}^4-9 z^2 \text{QuantumGroups$\grave{ }$a}^4+2 \text{QuantumGroups$\grave{ }$a}^4+6 z^{11} \text{QuantumGroups$\grave{ }$a}^3-14 z^9 \text{QuantumGroups$\grave{ }$a}^3+6 z^7 \text{QuantumGroups$\grave{ }$a}^3-5 z^5 \text{QuantumGroups$\grave{ }$a}^3+7 z^3 \text{QuantumGroups$\grave{ }$a}^3-z \text{QuantumGroups$\grave{ }$a}^3+5 z^{10} \text{QuantumGroups$\grave{ }$a}^2-14 z^8 \text{QuantumGroups$\grave{ }$a}^2+4 z^6 \text{QuantumGroups$\grave{ }$a}^2+16 z^4 \text{QuantumGroups$\grave{ }$a}^2-14 z^2 \text{QuantumGroups$\grave{ }$a}^2+3 \text{QuantumGroups$\grave{ }$a}^2+3 z^9 \text{QuantumGroups$\grave{ }$a}-12 z^7 \text{QuantumGroups$\grave{ }$a}+16 z^5 \text{QuantumGroups$\grave{ }$a}-8 z^3 \text{QuantumGroups$\grave{ }$a}+z \text{QuantumGroups$\grave{ }$a}+z^8-5 z^6+9 z^4-7 z^2+2}

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