K14a7250

Knot presentations

Dowker-Thistlethwaite code

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

Notes on presentations of K14a7250

Polynomial invariants

Jones polynomial	Data:K14a7250/Jones Polynomial
Alexander polynomial	$4t^{3}-28t^{2}+75t-101+75t^{-1}-28t^{-2}+4t^{-3}$
Conway polynomial	Data:K14a7250/Conway Polynomial
Determinant	Data:K14a7250/Determinant
Signature	Data:K14a7250/Signature
HOMFLY-PT polynomial	$z^{6}a^{-2}+2z^{6}a^{-4}+z^{6}a^{-6}-z^{4}a^{-2}+2z^{4}a^{-4}-z^{4}a^{-6}-2z^{4}a^{-8}-2z^{4}+a^{2}z^{2}-2z^{2}a^{-2}+2z^{2}a^{-4}-z^{2}a^{-8}+z^{2}a^{-10}-2z^{2}+a^{2}-a^{-2}+2a^{-6}-a^{-8}$
Kauffman polynomial	Failed to parse (syntax error): {\displaystyle z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +4 z^{12} $Failed^{-1} +8 z^{12} $Failed^{-1} +4 z^{12} $Failed^{-1} +7 z^{11} $Failed^{-1} +13 z^{11} $Failed^{-1} +13 z^{11} $Failed^{-1} +7 z^{11} $Failed^{-1} +8 z^{10} $Failed^{-1} +2 z^{10} $Failed^{-1} -13 z^{10} $Failed^{-1} +7 z^{10} $Failed^{-1} +7 z^9 $Failed^{-1} -11 z^9 $Failed^{-1} -48 z^9 $Failed^{-1} -55 z^9 $Failed^{-1} -21 z^9 $Failed^{-1} +4 z^9 $Failed^{-1} -15 z^8 $Failed^{-1} -26 z^8 $Failed^{-1} -17 z^8 $Failed^{-1} -40 z^8 $Failed^{-1} -28 z^8 $Failed^{-1} +z^8 $Failed^{-1} +5 z^8+3 \text{QuantumGroups$\grave{ }$a} z^7-12 z^7 $Failed^{-1} +3 z^7 $Failed^{-1} +66 z^7 $Failed^{-1} +76 z^7 $Failed^{-1} +11 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^2 z^6+13 z^6 $Failed^{-1} +40 z^6 $Failed^{-1} +50 z^6 $Failed^{-1} +72 z^6 $Failed^{-1} +36 z^6 $Failed^{-1} -4 z^6 $Failed^{-1} -8 z^6-7 \text{QuantumGroups$\grave{ }$a} z^5+8 z^5 $Failed^{-1} +11 z^5 $Failed^{-1} -47 z^5 $Failed^{-1} -58 z^5 $Failed^{-1} +7 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^2 z^4-3 z^4 $Failed^{-1} -15 z^4 $Failed^{-1} -44 z^4 $Failed^{-1} -61 z^4 $Failed^{-1} -22 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a} z^3-7 z^3 $Failed^{-1} -5 z^3 $Failed^{-1} +30 z^3 $Failed^{-1} +25 z^3 $Failed^{-1} -8 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +3 \text{QuantumGroups$\grave{ }$a}^2 z^2-5 z^2 $Failed^{-1} +2 z^2 $Failed^{-1} +21 z^2 $Failed^{-1} +22 z^2 $Failed^{-1} +7 z^2 $Failed^{-1} +2 z^2+2 z $Failed^{-1} -2 z $Failed^{-1} -10 z $Failed^{-1} -7 z $Failed^{-1} -z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^2+ $Failed^{-1} -2 $Failed^{-1} - $Failed^{-1} }

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