K14a6686

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a6686

Polynomial invariants

Jones polynomial	Data:K14a6686/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+24t^{3}-52t^{2}+80t-91+80t^{-1}-52t^{-2}+24t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a6686/Conway Polynomial
Determinant	Data:K14a6686/Determinant
Signature	Data:K14a6686/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+7a^{2}z^{8}-2z^{8}+a^{6}z^{6}-11a^{4}z^{6}+22a^{2}z^{6}+z^{6}a^{-2}-10z^{6}+4a^{6}z^{4}-23a^{4}z^{4}+36a^{2}z^{4}+3z^{4}a^{-2}-18z^{4}+5a^{6}z^{2}-21a^{4}z^{2}+28a^{2}z^{2}+2z^{2}a^{-2}-13z^{2}+2a^{6}-7a^{4}+8a^{2}-2$
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 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+\text{QuantumGroups$\grave{ }$a} z^{13}+5 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+5 z^{12}+11 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+25 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+24 \text{QuantumGroups$\grave{ }$a} z^{11}+10 z^{11} $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+21 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+10 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+10 z^{10} $Failed^{-1} +13 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^7 z^9-8 \text{QuantumGroups$\grave{ }$a}^5 z^9-66 \text{QuantumGroups$\grave{ }$a}^3 z^9-74 \text{QuantumGroups$\grave{ }$a} z^9-23 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^8 z^8-27 \text{QuantumGroups$\grave{ }$a}^6 z^8-96 \text{QuantumGroups$\grave{ }$a}^4 z^8-118 \text{QuantumGroups$\grave{ }$a}^2 z^8-36 z^8 $Failed^{-1} +z^8 $Failed^{-1} -94 z^8+4 \text{QuantumGroups$\grave{ }$a}^9 z^7-22 \text{QuantumGroups$\grave{ }$a}^7 z^7-25 \text{QuantumGroups$\grave{ }$a}^5 z^7+37 \text{QuantumGroups$\grave{ }$a}^3 z^7+48 \text{QuantumGroups$\grave{ }$a} z^7-6 z^7 $Failed^{-1} -18 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-14 \text{QuantumGroups$\grave{ }$a}^8 z^6+29 \text{QuantumGroups$\grave{ }$a}^6 z^6+147 \text{QuantumGroups$\grave{ }$a}^4 z^6+198 \text{QuantumGroups$\grave{ }$a}^2 z^6+41 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} +139 z^6-8 \text{QuantumGroups$\grave{ }$a}^9 z^5+18 \text{QuantumGroups$\grave{ }$a}^7 z^5+57 \text{QuantumGroups$\grave{ }$a}^5 z^5+36 \text{QuantumGroups$\grave{ }$a}^3 z^5+21 \text{QuantumGroups$\grave{ }$a} z^5+35 z^5 $Failed^{-1} +19 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^4+6 \text{QuantumGroups$\grave{ }$a}^8 z^4-22 \text{QuantumGroups$\grave{ }$a}^6 z^4-106 \text{QuantumGroups$\grave{ }$a}^4 z^4-145 \text{QuantumGroups$\grave{ }$a}^2 z^4-20 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} -91 z^4+4 \text{QuantumGroups$\grave{ }$a}^9 z^3-12 \text{QuantumGroups$\grave{ }$a}^7 z^3-43 \text{QuantumGroups$\grave{ }$a}^5 z^3-41 \text{QuantumGroups$\grave{ }$a}^3 z^3-29 \text{QuantumGroups$\grave{ }$a} z^3-21 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^2+9 \text{QuantumGroups$\grave{ }$a}^6 z^2+40 \text{QuantumGroups$\grave{ }$a}^4 z^2+53 \text{QuantumGroups$\grave{ }$a}^2 z^2+4 z^2 $Failed^{-1} +27 z^2+4 \text{QuantumGroups$\grave{ }$a}^7 z+11 \text{QuantumGroups$\grave{ }$a}^5 z+11 \text{QuantumGroups$\grave{ }$a}^3 z+6 \text{QuantumGroups$\grave{ }$a} z+2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6-7 \text{QuantumGroups$\grave{ }$a}^4-8 \text{QuantumGroups$\grave{ }$a}^2-2}

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