K14a2444

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a2444

Polynomial invariants

Jones polynomial	Data:K14a2444/Jones Polynomial
Alexander polynomial	$t^{5}-7t^{4}+22t^{3}-44t^{2}+65t-73+65t^{-1}-44t^{-2}+22t^{-3}-7t^{-4}+t^{-5}$
Conway polynomial	Data:K14a2444/Conway Polynomial
Determinant	Data:K14a2444/Determinant
Signature	Data:K14a2444/Signature
HOMFLY-PT polynomial	$a^{2}z^{10}-a^{4}z^{8}+7a^{2}z^{8}-3z^{8}-5a^{4}z^{6}+21a^{2}z^{6}+3z^{6}a^{-2}-18z^{6}-9a^{4}z^{4}+34a^{2}z^{4}+15z^{4}a^{-2}-z^{4}a^{-4}-41z^{4}-7a^{4}z^{2}+29a^{2}z^{2}+25z^{2}a^{-2}-4z^{2}a^{-4}-43z^{2}-2a^{4}+10a^{2}+14a^{-2}-4a^{-4}-17$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle \text{QuantumGroups$\grave{ }$a} z^{13}+z^{13} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+3 z^{12} $Failed^{-1} +8 z^{12}+12 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+19 \text{QuantumGroups$\grave{ }$a} z^{11}+11 z^{11} $Failed^{-1} +4 z^{11} $Failed^{-1} +18 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+18 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+3 z^{10} $Failed^{-1} -3 z^{10}+19 \text{QuantumGroups$\grave{ }$a}^5 z^9-4 \text{QuantumGroups$\grave{ }$a}^3 z^9-54 \text{QuantumGroups$\grave{ }$a} z^9-46 z^9 $Failed^{-1} -14 z^9 $Failed^{-1} +z^9 $Failed^{-1} +15 \text{QuantumGroups$\grave{ }$a}^6 z^8-28 \text{QuantumGroups$\grave{ }$a}^4 z^8-90 \text{QuantumGroups$\grave{ }$a}^2 z^8-43 z^8 $Failed^{-1} -16 z^8 $Failed^{-1} -74 z^8+9 \text{QuantumGroups$\grave{ }$a}^7 z^7-33 \text{QuantumGroups$\grave{ }$a}^5 z^7-56 \text{QuantumGroups$\grave{ }$a}^3 z^7+9 \text{QuantumGroups$\grave{ }$a} z^7+34 z^7 $Failed^{-1} +5 z^7 $Failed^{-1} -6 z^7 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^8 z^6-22 \text{QuantumGroups$\grave{ }$a}^6 z^6+4 \text{QuantumGroups$\grave{ }$a}^4 z^6+112 \text{QuantumGroups$\grave{ }$a}^2 z^6+97 z^6 $Failed^{-1} +31 z^6 $Failed^{-1} +148 z^6+\text{QuantumGroups$\grave{ }$a}^9 z^5-10 \text{QuantumGroups$\grave{ }$a}^7 z^5+26 \text{QuantumGroups$\grave{ }$a}^5 z^5+89 \text{QuantumGroups$\grave{ }$a}^3 z^5+67 \text{QuantumGroups$\grave{ }$a} z^5+29 z^5 $Failed^{-1} +27 z^5 $Failed^{-1} +13 z^5 $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^8 z^4+15 \text{QuantumGroups$\grave{ }$a}^6 z^4+12 \text{QuantumGroups$\grave{ }$a}^4 z^4-75 \text{QuantumGroups$\grave{ }$a}^2 z^4-94 z^4 $Failed^{-1} -28 z^4 $Failed^{-1} -134 z^4-\text{QuantumGroups$\grave{ }$a}^9 z^3+4 \text{QuantumGroups$\grave{ }$a}^7 z^3-13 \text{QuantumGroups$\grave{ }$a}^5 z^3-62 \text{QuantumGroups$\grave{ }$a}^3 z^3-70 \text{QuantumGroups$\grave{ }$a} z^3-46 z^3 $Failed^{-1} -32 z^3 $Failed^{-1} -12 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^8 z^2-4 \text{QuantumGroups$\grave{ }$a}^6 z^2-4 \text{QuantumGroups$\grave{ }$a}^4 z^2+34 \text{QuantumGroups$\grave{ }$a}^2 z^2+52 z^2 $Failed^{-1} +14 z^2 $Failed^{-1} +71 z^2+5 \text{QuantumGroups$\grave{ }$a}^5 z+18 \text{QuantumGroups$\grave{ }$a}^3 z+24 \text{QuantumGroups$\grave{ }$a} z+18 z $Failed^{-1} +11 z $Failed^{-1} +4 z $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^4-10 \text{QuantumGroups$\grave{ }$a}^2-14 $Failed^{-1} -4 $Failed^{-1} -17}

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