K14a203

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a203

Polynomial invariants

Jones polynomial	Data:K14a203/Jones Polynomial
Alexander polynomial	$2t^{4}-18t^{3}+71t^{2}-154t+199-154t^{-1}+71t^{-2}-18t^{-3}+2t^{-4}$
Conway polynomial	Data:K14a203/Conway Polynomial
Determinant	Data:K14a203/Determinant
Signature	Data:K14a203/Signature
HOMFLY-PT polynomial	$z^{8}a^{-2}+z^{8}-3a^{2}z^{6}+2z^{6}a^{-2}-z^{6}a^{-4}+3a^{4}z^{4}-3a^{2}z^{4}+5z^{4}a^{-2}-z^{4}a^{-4}-z^{4}-a^{6}z^{2}+2a^{4}z^{2}-a^{2}z^{2}+5z^{2}a^{-2}-2z^{2}a^{-4}-3z^{2}+a^{2}+3a^{-2}-a^{-4}-2$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle 3 \text{QuantumGroups$\grave{ }$a} z^{13}+3 z^{13} $Failed^{-1} +11 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+15 z^{12} $Failed^{-1} +26 z^{12}+18 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+48 \text{QuantumGroups$\grave{ }$a} z^{11}+60 z^{11} $Failed^{-1} +30 z^{11} $Failed^{-1} +18 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+27 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+35 z^{10} $Failed^{-1} +31 z^{10} $Failed^{-1} +13 z^{10}+12 \text{QuantumGroups$\grave{ }$a}^5 z^9-13 \text{QuantumGroups$\grave{ }$a}^3 z^9-106 \text{QuantumGroups$\grave{ }$a} z^9-141 z^9 $Failed^{-1} -42 z^9 $Failed^{-1} +18 z^9 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^6 z^8-32 \text{QuantumGroups$\grave{ }$a}^4 z^8-110 \text{QuantumGroups$\grave{ }$a}^2 z^8-165 z^8 $Failed^{-1} -67 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -165 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-26 \text{QuantumGroups$\grave{ }$a}^5 z^7-32 \text{QuantumGroups$\grave{ }$a}^3 z^7+52 \text{QuantumGroups$\grave{ }$a} z^7+77 z^7 $Failed^{-1} -15 z^7 $Failed^{-1} -34 z^7 $Failed^{-1} +z^7 $Failed^{-1} -11 \text{QuantumGroups$\grave{ }$a}^6 z^6+17 \text{QuantumGroups$\grave{ }$a}^4 z^6+122 \text{QuantumGroups$\grave{ }$a}^2 z^6+185 z^6 $Failed^{-1} +52 z^6 $Failed^{-1} -8 z^6 $Failed^{-1} +219 z^6-2 \text{QuantumGroups$\grave{ }$a}^7 z^5+21 \text{QuantumGroups$\grave{ }$a}^5 z^5+48 \text{QuantumGroups$\grave{ }$a}^3 z^5+30 \text{QuantumGroups$\grave{ }$a} z^5+24 z^5 $Failed^{-1} +41 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4-2 \text{QuantumGroups$\grave{ }$a}^4 z^4-59 \text{QuantumGroups$\grave{ }$a}^2 z^4-94 z^4 $Failed^{-1} -27 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} -114 z^4+\text{QuantumGroups$\grave{ }$a}^7 z^3-8 \text{QuantumGroups$\grave{ }$a}^5 z^3-23 \text{QuantumGroups$\grave{ }$a}^3 z^3-30 \text{QuantumGroups$\grave{ }$a} z^3-29 z^3 $Failed^{-1} -22 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+12 \text{QuantumGroups$\grave{ }$a}^2 z^2+25 z^2 $Failed^{-1} +10 z^2 $Failed^{-1} +25 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+4 \text{QuantumGroups$\grave{ }$a}^3 z+6 \text{QuantumGroups$\grave{ }$a} z+6 z $Failed^{-1} +5 z $Failed^{-1} +2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2-3 $Failed^{-1} - $Failed^{-1} -2}

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