K14a2794

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2794

Polynomial invariants

Jones polynomial	Data:K14a2794/Jones Polynomial
Alexander polynomial	$t^{5}-8t^{4}+28t^{3}-60t^{2}+91t-103+91t^{-1}-60t^{-2}+28t^{-3}-8t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2794/Conway Polynomial
Determinant	Data:K14a2794/Determinant
Signature	Data:K14a2794/Signature
HOMFLY-PT polynomial	$z^{10}a^{-2}+6z^{8}a^{-2}-z^{8}a^{-4}-3z^{8}+3a^{2}z^{6}+15z^{6}a^{-2}-4z^{6}a^{-4}-15z^{6}-a^{4}z^{4}+12a^{2}z^{4}+19z^{4}a^{-2}-5z^{4}a^{-4}-27z^{4}-3a^{4}z^{2}+15a^{2}z^{2}+11z^{2}a^{-2}-2z^{2}a^{-4}-21z^{2}-2a^{4}+6a^{2}+2a^{-2}-5$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +6 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+10 z^{12} $Failed^{-1} +16 z^{12}+7 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+20 \text{QuantumGroups$\grave{ }$a} z^{11}+36 z^{11} $Failed^{-1} +23 z^{11} $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-7 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+28 z^{10} $Failed^{-1} +33 z^{10} $Failed^{-1} -16 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-27 \text{QuantumGroups$\grave{ }$a}^3 z^9-91 \text{QuantumGroups$\grave{ }$a} z^9-110 z^9 $Failed^{-1} -14 z^9 $Failed^{-1} +33 z^9 $Failed^{-1} -19 \text{QuantumGroups$\grave{ }$a}^4 z^8-44 \text{QuantumGroups$\grave{ }$a}^2 z^8-145 z^8 $Failed^{-1} -52 z^8 $Failed^{-1} +24 z^8 $Failed^{-1} -94 z^8-5 \text{QuantumGroups$\grave{ }$a}^5 z^7+30 \text{QuantumGroups$\grave{ }$a}^3 z^7+103 \text{QuantumGroups$\grave{ }$a} z^7+57 z^7 $Failed^{-1} -78 z^7 $Failed^{-1} -54 z^7 $Failed^{-1} +13 z^7 $Failed^{-1} +33 \text{QuantumGroups$\grave{ }$a}^4 z^6+106 \text{QuantumGroups$\grave{ }$a}^2 z^6+152 z^6 $Failed^{-1} +6 z^6 $Failed^{-1} -30 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +184 z^6+9 \text{QuantumGroups$\grave{ }$a}^5 z^5-2 \text{QuantumGroups$\grave{ }$a}^3 z^5-22 \text{QuantumGroups$\grave{ }$a} z^5+47 z^5 $Failed^{-1} +99 z^5 $Failed^{-1} +30 z^5 $Failed^{-1} -10 z^5 $Failed^{-1} +z^5 $Failed^{-1} -26 \text{QuantumGroups$\grave{ }$a}^4 z^4-88 \text{QuantumGroups$\grave{ }$a}^2 z^4-63 z^4 $Failed^{-1} +15 z^4 $Failed^{-1} +13 z^4 $Failed^{-1} -2 z^4 $Failed^{-1} -125 z^4-7 \text{QuantumGroups$\grave{ }$a}^5 z^3-12 \text{QuantumGroups$\grave{ }$a}^3 z^3-19 \text{QuantumGroups$\grave{ }$a} z^3-46 z^3 $Failed^{-1} -42 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +10 \text{QuantumGroups$\grave{ }$a}^4 z^2+34 \text{QuantumGroups$\grave{ }$a}^2 z^2+14 z^2 $Failed^{-1} -4 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +40 z^2+2 \text{QuantumGroups$\grave{ }$a}^5 z+5 \text{QuantumGroups$\grave{ }$a}^3 z+8 \text{QuantumGroups$\grave{ }$a} z+10 z $Failed^{-1} +6 z $Failed^{-1} +z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -5}

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