K14a7613

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7613

Polynomial invariants

Jones polynomial	Data:K14a7613/Jones Polynomial
Alexander polynomial	$-3t^{4}+21t^{3}-59t^{2}+94t-105+94t^{-1}-59t^{-2}+21t^{-3}-3t^{-4}$
Conway polynomial	Data:K14a7613/Conway Polynomial
Determinant	Data:K14a7613/Determinant
Signature	Data:K14a7613/Signature
HOMFLY-PT polynomial	$-a^{2}z^{8}-2z^{8}+2a^{4}z^{6}+3z^{6}a^{-2}-8z^{6}-a^{6}z^{4}+4a^{4}z^{4}+9a^{2}z^{4}+9z^{4}a^{-2}-z^{4}a^{-4}-13z^{4}-2a^{6}z^{2}-a^{4}z^{2}+11a^{2}z^{2}+6z^{2}a^{-2}-2z^{2}a^{-4}-13z^{2}-a^{4}+4a^{2}+2a^{-2}-4$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a} z^{13}+3 z^{13} $Failed^{-1} +12 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+9 z^{12} $Failed^{-1} +21 z^{12}+23 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+33 \text{QuantumGroups$\grave{ }$a} z^{11}+20 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +29 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+6 \text{QuantumGroups$\grave{ }$a}^2 z^{10}-23 z^{10} $Failed^{-1} +5 z^{10} $Failed^{-1} -51 z^{10}+27 \text{QuantumGroups$\grave{ }$a}^5 z^9-38 \text{QuantumGroups$\grave{ }$a}^3 z^9-141 \text{QuantumGroups$\grave{ }$a} z^9-120 z^9 $Failed^{-1} -43 z^9 $Failed^{-1} +z^9 $Failed^{-1} +19 \text{QuantumGroups$\grave{ }$a}^6 z^8-60 \text{QuantumGroups$\grave{ }$a}^4 z^8-108 \text{QuantumGroups$\grave{ }$a}^2 z^8-17 z^8 $Failed^{-1} -22 z^8 $Failed^{-1} -24 z^8+10 \text{QuantumGroups$\grave{ }$a}^7 z^7-53 \text{QuantumGroups$\grave{ }$a}^5 z^7-11 \text{QuantumGroups$\grave{ }$a}^3 z^7+172 \text{QuantumGroups$\grave{ }$a} z^7+183 z^7 $Failed^{-1} +59 z^7 $Failed^{-1} -4 z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^8 z^6-30 \text{QuantumGroups$\grave{ }$a}^6 z^6+41 \text{QuantumGroups$\grave{ }$a}^4 z^6+159 \text{QuantumGroups$\grave{ }$a}^2 z^6+80 z^6 $Failed^{-1} +32 z^6 $Failed^{-1} +132 z^6+\text{QuantumGroups$\grave{ }$a}^9 z^5-10 \text{QuantumGroups$\grave{ }$a}^7 z^5+45 \text{QuantumGroups$\grave{ }$a}^5 z^5+39 \text{QuantumGroups$\grave{ }$a}^3 z^5-92 \text{QuantumGroups$\grave{ }$a} z^5-110 z^5 $Failed^{-1} -30 z^5 $Failed^{-1} +5 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^8 z^4+24 \text{QuantumGroups$\grave{ }$a}^6 z^4-12 \text{QuantumGroups$\grave{ }$a}^4 z^4-108 \text{QuantumGroups$\grave{ }$a}^2 z^4-63 z^4 $Failed^{-1} -19 z^4 $Failed^{-1} -113 z^4-\text{QuantumGroups$\grave{ }$a}^9 z^3+4 \text{QuantumGroups$\grave{ }$a}^7 z^3-17 \text{QuantumGroups$\grave{ }$a}^5 z^3-24 \text{QuantumGroups$\grave{ }$a}^3 z^3+18 \text{QuantumGroups$\grave{ }$a} z^3+29 z^3 $Failed^{-1} +7 z^3 $Failed^{-1} -2 z^3 $Failed^{-1} -7 \text{QuantumGroups$\grave{ }$a}^6 z^2+3 \text{QuantumGroups$\grave{ }$a}^4 z^2+34 \text{QuantumGroups$\grave{ }$a}^2 z^2+18 z^2 $Failed^{-1} +5 z^2 $Failed^{-1} +37 z^2+3 \text{QuantumGroups$\grave{ }$a}^5 z+6 \text{QuantumGroups$\grave{ }$a}^3 z+\text{QuantumGroups$\grave{ }$a} z-3 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-4 \text{QuantumGroups$\grave{ }$a}^2-2 $Failed^{-1} -4}

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