K14n5529

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n5529

Polynomial invariants

Jones polynomial	Data:K14n5529/Jones Polynomial
Alexander polynomial	$-2t^{4}+11t^{3}-29t^{2}+52t-63+52t^{-1}-29t^{-2}+11t^{-3}-2t^{-4}$
Conway polynomial	Data:K14n5529/Conway Polynomial
Determinant	Data:K14n5529/Determinant
Signature	Data:K14n5529/Signature
HOMFLY-PT polynomial	$-z^{2}a^{8}-2a^{8}+z^{6}a^{6}+5z^{4}a^{6}+9z^{2}a^{6}+5a^{6}-z^{8}a^{4}-5z^{6}a^{4}-11z^{4}a^{4}-11z^{2}a^{4}-5a^{4}-z^{8}a^{2}-3z^{6}a^{2}-2z^{4}a^{2}+2z^{2}a^{2}+2a^{2}+2z^{6}+6z^{4}+6z^{2}+2-z^{4}a^{-2}-2z^{2}a^{-2}-a^{-2}$
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}^4 z^{12}+\text{QuantumGroups$\grave{ }$a}^2 z^{12}+5 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+9 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+4 \text{QuantumGroups$\grave{ }$a} z^{11}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+18 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+7 z^{10}+5 \text{QuantumGroups$\grave{ }$a}^7 z^9-3 \text{QuantumGroups$\grave{ }$a}^5 z^9-6 \text{QuantumGroups$\grave{ }$a}^3 z^9+9 \text{QuantumGroups$\grave{ }$a} z^9+7 z^9 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^8-28 \text{QuantumGroups$\grave{ }$a}^6 z^8-67 \text{QuantumGroups$\grave{ }$a}^4 z^8-50 \text{QuantumGroups$\grave{ }$a}^2 z^8+4 z^8 $Failed^{-1} -8 z^8-14 \text{QuantumGroups$\grave{ }$a}^7 z^7-21 \text{QuantumGroups$\grave{ }$a}^5 z^7-37 \text{QuantumGroups$\grave{ }$a}^3 z^7-48 \text{QuantumGroups$\grave{ }$a} z^7-17 z^7 $Failed^{-1} +z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^8 z^6+57 \text{QuantumGroups$\grave{ }$a}^6 z^6+106 \text{QuantumGroups$\grave{ }$a}^4 z^6+48 \text{QuantumGroups$\grave{ }$a}^2 z^6-12 z^6 $Failed^{-1} -17 z^6+3 \text{QuantumGroups$\grave{ }$a}^9 z^5+27 \text{QuantumGroups$\grave{ }$a}^7 z^5+59 \text{QuantumGroups$\grave{ }$a}^5 z^5+74 \text{QuantumGroups$\grave{ }$a}^3 z^5+51 \text{QuantumGroups$\grave{ }$a} z^5+9 z^5 $Failed^{-1} -3 z^5 $Failed^{-1} -13 \text{QuantumGroups$\grave{ }$a}^8 z^4-53 \text{QuantumGroups$\grave{ }$a}^6 z^4-76 \text{QuantumGroups$\grave{ }$a}^4 z^4-25 \text{QuantumGroups$\grave{ }$a}^2 z^4+12 z^4 $Failed^{-1} +23 z^4-8 \text{QuantumGroups$\grave{ }$a}^9 z^3-27 \text{QuantumGroups$\grave{ }$a}^7 z^3-43 \text{QuantumGroups$\grave{ }$a}^5 z^3-49 \text{QuantumGroups$\grave{ }$a}^3 z^3-28 \text{QuantumGroups$\grave{ }$a} z^3+3 z^3 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^8 z^2+25 \text{QuantumGroups$\grave{ }$a}^6 z^2+30 \text{QuantumGroups$\grave{ }$a}^4 z^2+7 \text{QuantumGroups$\grave{ }$a}^2 z^2-5 z^2 $Failed^{-1} -11 z^2+4 \text{QuantumGroups$\grave{ }$a}^9 z+8 \text{QuantumGroups$\grave{ }$a}^7 z+10 \text{QuantumGroups$\grave{ }$a}^5 z+11 \text{QuantumGroups$\grave{ }$a}^3 z+6 \text{QuantumGroups$\grave{ }$a} z-z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^8-5 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-2 \text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} +2}

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