K14a2269

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2269

Polynomial invariants

Jones polynomial	Data:K14a2269/Jones Polynomial
Alexander polynomial	$2t^{5}-10t^{4}+28t^{3}-51t^{2}+70t-77+70t^{-1}-51t^{-2}+28t^{-3}-10t^{-4}+2t^{-5}$
Conway polynomial	Data:K14a2269/Conway Polynomial
Determinant	Data:K14a2269/Determinant
Signature	Data:K14a2269/Signature
HOMFLY-PT polynomial	$-z^{2}a^{12}-a^{12}-z^{8}a^{10}-4z^{6}a^{10}-3z^{4}a^{10}+4z^{2}a^{10}+5a^{10}+z^{10}a^{8}+5z^{8}a^{8}+6z^{6}a^{8}-7z^{4}a^{8}-22z^{2}a^{8}-14a^{8}+z^{10}a^{6}+7z^{8}a^{6}+22z^{6}a^{6}+40z^{4}a^{6}+39z^{2}a^{6}+15a^{6}-z^{8}a^{4}-6z^{6}a^{4}-13z^{4}a^{4}-12z^{2}a^{4}-4a^{4}$
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^5 \text{QuantumGroups$\grave{ }$a}^{17}-z^3 \text{QuantumGroups$\grave{ }$a}^{17}+4 z^6 \text{QuantumGroups$\grave{ }$a}^{16}-3 z^4 \text{QuantumGroups$\grave{ }$a}^{16}+10 z^7 \text{QuantumGroups$\grave{ }$a}^{15}-10 z^5 \text{QuantumGroups$\grave{ }$a}^{15}+4 z^3 \text{QuantumGroups$\grave{ }$a}^{15}+19 z^8 \text{QuantumGroups$\grave{ }$a}^{14}-30 z^6 \text{QuantumGroups$\grave{ }$a}^{14}+24 z^4 \text{QuantumGroups$\grave{ }$a}^{14}-7 z^2 \text{QuantumGroups$\grave{ }$a}^{14}+27 z^9 \text{QuantumGroups$\grave{ }$a}^{13}-56 z^7 \text{QuantumGroups$\grave{ }$a}^{13}+56 z^5 \text{QuantumGroups$\grave{ }$a}^{13}-30 z^3 \text{QuantumGroups$\grave{ }$a}^{13}+8 z \text{QuantumGroups$\grave{ }$a}^{13}+26 z^{10} \text{QuantumGroups$\grave{ }$a}^{12}-47 z^8 \text{QuantumGroups$\grave{ }$a}^{12}+17 z^6 \text{QuantumGroups$\grave{ }$a}^{12}+12 z^4 \text{QuantumGroups$\grave{ }$a}^{12}-6 z^2 \text{QuantumGroups$\grave{ }$a}^{12}-\text{QuantumGroups$\grave{ }$a}^{12}+16 z^{11} \text{QuantumGroups$\grave{ }$a}^{11}-z^9 \text{QuantumGroups$\grave{ }$a}^{11}-94 z^7 \text{QuantumGroups$\grave{ }$a}^{11}+142 z^5 \text{QuantumGroups$\grave{ }$a}^{11}-88 z^3 \text{QuantumGroups$\grave{ }$a}^{11}+21 z \text{QuantumGroups$\grave{ }$a}^{11}+6 z^{12} \text{QuantumGroups$\grave{ }$a}^{10}+28 z^{10} \text{QuantumGroups$\grave{ }$a}^{10}-121 z^8 \text{QuantumGroups$\grave{ }$a}^{10}+123 z^6 \text{QuantumGroups$\grave{ }$a}^{10}-48 z^4 \text{QuantumGroups$\grave{ }$a}^{10}+10 z^2 \text{QuantumGroups$\grave{ }$a}^{10}-5 \text{QuantumGroups$\grave{ }$a}^{10}+z^{13} \text{QuantumGroups$\grave{ }$a}^9+25 z^{11} \text{QuantumGroups$\grave{ }$a}^9-61 z^9 \text{QuantumGroups$\grave{ }$a}^9-17 z^7 \text{QuantumGroups$\grave{ }$a}^9+120 z^5 \text{QuantumGroups$\grave{ }$a}^9-105 z^3 \text{QuantumGroups$\grave{ }$a}^9+33 z \text{QuantumGroups$\grave{ }$a}^9+9 z^{12} \text{QuantumGroups$\grave{ }$a}^8+z^{10} \text{QuantumGroups$\grave{ }$a}^8-88 z^8 \text{QuantumGroups$\grave{ }$a}^8+144 z^6 \text{QuantumGroups$\grave{ }$a}^8-99 z^4 \text{QuantumGroups$\grave{ }$a}^8+45 z^2 \text{QuantumGroups$\grave{ }$a}^8-14 \text{QuantumGroups$\grave{ }$a}^8+z^{13} \text{QuantumGroups$\grave{ }$a}^7+13 z^{11} \text{QuantumGroups$\grave{ }$a}^7-47 z^9 \text{QuantumGroups$\grave{ }$a}^7+18 z^7 \text{QuantumGroups$\grave{ }$a}^7+68 z^5 \text{QuantumGroups$\grave{ }$a}^7-83 z^3 \text{QuantumGroups$\grave{ }$a}^7+31 z \text{QuantumGroups$\grave{ }$a}^7+3 z^{12} \text{QuantumGroups$\grave{ }$a}^6+2 z^{10} \text{QuantumGroups$\grave{ }$a}^6-49 z^8 \text{QuantumGroups$\grave{ }$a}^6+104 z^6 \text{QuantumGroups$\grave{ }$a}^6-97 z^4 \text{QuantumGroups$\grave{ }$a}^6+52 z^2 \text{QuantumGroups$\grave{ }$a}^6-15 \text{QuantumGroups$\grave{ }$a}^6+4 z^{11} \text{QuantumGroups$\grave{ }$a}^5-13 z^9 \text{QuantumGroups$\grave{ }$a}^5+z^7 \text{QuantumGroups$\grave{ }$a}^5+36 z^5 \text{QuantumGroups$\grave{ }$a}^5-43 z^3 \text{QuantumGroups$\grave{ }$a}^5+15 z \text{QuantumGroups$\grave{ }$a}^5+3 z^{10} \text{QuantumGroups$\grave{ }$a}^4-16 z^8 \text{QuantumGroups$\grave{ }$a}^4+32 z^6 \text{QuantumGroups$\grave{ }$a}^4-31 z^4 \text{QuantumGroups$\grave{ }$a}^4+16 z^2 \text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^4+z^9 \text{QuantumGroups$\grave{ }$a}^3-6 z^7 \text{QuantumGroups$\grave{ }$a}^3+13 z^5 \text{QuantumGroups$\grave{ }$a}^3-12 z^3 \text{QuantumGroups$\grave{ }$a}^3+4 z \text{QuantumGroups$\grave{ }$a}^3}

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