K14n11865

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14n11865

Polynomial invariants

Jones polynomial	Data:K14n11865/Jones Polynomial
Alexander polynomial	$t^{5}-6t^{4}+15t^{3}-26t^{2}+37t-41+37t^{-1}-26t^{-2}+15t^{-3}-6t^{-4}+t^{-5}$
Conway polynomial	Data:K14n11865/Conway Polynomial
Determinant	Data:K14n11865/Determinant
Signature	Data:K14n11865/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-2a^{4}z^{8}+7a^{2}z^{8}-z^{8}+a^{6}z^{6}-12a^{4}z^{6}+19a^{2}z^{6}-6z^{6}+5a^{6}z^{4}-25a^{4}z^{4}+26a^{2}z^{4}+z^{4}a^{-2}-13z^{4}+7a^{6}z^{2}-20a^{4}z^{2}+19a^{2}z^{2}+3z^{2}a^{-2}-12z^{2}+2a^{6}-5a^{4}+6a^{2}+2a^{-2}-4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+2 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+6 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+11 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+5 \text{QuantumGroups$\grave{ }$a} z^{11}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+3 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+4 z^{10}+7 \text{QuantumGroups$\grave{ }$a}^7 z^9-15 \text{QuantumGroups$\grave{ }$a}^5 z^9-42 \text{QuantumGroups$\grave{ }$a}^3 z^9-19 \text{QuantumGroups$\grave{ }$a} z^9+z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^8 z^8-24 \text{QuantumGroups$\grave{ }$a}^6 z^8-47 \text{QuantumGroups$\grave{ }$a}^4 z^8-31 \text{QuantumGroups$\grave{ }$a}^2 z^8-13 z^8+3 \text{QuantumGroups$\grave{ }$a}^9 z^7-17 \text{QuantumGroups$\grave{ }$a}^7 z^7+15 \text{QuantumGroups$\grave{ }$a}^5 z^7+73 \text{QuantumGroups$\grave{ }$a}^3 z^7+41 \text{QuantumGroups$\grave{ }$a} z^7+3 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^{10} z^6-11 \text{QuantumGroups$\grave{ }$a}^8 z^6+36 \text{QuantumGroups$\grave{ }$a}^6 z^6+103 \text{QuantumGroups$\grave{ }$a}^4 z^6+78 \text{QuantumGroups$\grave{ }$a}^2 z^6+3 z^6 $Failed^{-1} +26 z^6-8 \text{QuantumGroups$\grave{ }$a}^9 z^5+15 \text{QuantumGroups$\grave{ }$a}^7 z^5+4 \text{QuantumGroups$\grave{ }$a}^5 z^5-53 \text{QuantumGroups$\grave{ }$a}^3 z^5-49 \text{QuantumGroups$\grave{ }$a} z^5-15 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^{10} z^4+5 \text{QuantumGroups$\grave{ }$a}^8 z^4-27 \text{QuantumGroups$\grave{ }$a}^6 z^4-92 \text{QuantumGroups$\grave{ }$a}^4 z^4-87 \text{QuantumGroups$\grave{ }$a}^2 z^4-10 z^4 $Failed^{-1} -40 z^4+5 \text{QuantumGroups$\grave{ }$a}^9 z^3-6 \text{QuantumGroups$\grave{ }$a}^7 z^3-5 \text{QuantumGroups$\grave{ }$a}^5 z^3+14 \text{QuantumGroups$\grave{ }$a}^3 z^3+20 \text{QuantumGroups$\grave{ }$a} z^3+12 z^3 $Failed^{-1} +2 \text{QuantumGroups$\grave{ }$a}^{10} z^2-\text{QuantumGroups$\grave{ }$a}^8 z^2+12 \text{QuantumGroups$\grave{ }$a}^6 z^2+38 \text{QuantumGroups$\grave{ }$a}^4 z^2+38 \text{QuantumGroups$\grave{ }$a}^2 z^2+9 z^2 $Failed^{-1} +24 z^2-\text{QuantumGroups$\grave{ }$a}^9 z+\text{QuantumGroups$\grave{ }$a}^5 z-\text{QuantumGroups$\grave{ }$a}^3 z-3 \text{QuantumGroups$\grave{ }$a} z-2 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6-5 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -4}

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