K14a1726
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Polynomial invariants
| Jones polynomial | Data:K14a1726/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-7 t^4+27 t^3-65 t^2+108 t-127+108 t^{-1} -65 t^{-2} +27 t^{-3} -7 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K14a1726/Conway Polynomial |
| Determinant | Data:K14a1726/Determinant |
| Signature | Data:K14a1726/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +7 z^8 a^{-2} -3 z^8 a^{-4} -z^8+23 z^6 a^{-2} -15 z^6 a^{-4} +3 z^6 a^{-6} -5 z^6+40 z^4 a^{-2} -31 z^4 a^{-4} +10 z^4 a^{-6} -z^4 a^{-8} -11 z^4+37 z^2 a^{-2} -31 z^2 a^{-4} +12 z^2 a^{-6} -2 z^2 a^{-8} -12 z^2+15 a^{-2} -13 a^{-4} +5 a^{-6} - a^{-8} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{13} $Failed^{-1} +2 z^{13} $Failed^{-1} +9 z^{12} $Failed^{-1} +17 z^{12} $Failed^{-1} +8 z^{12} $Failed^{-1} +16 z^{11} $Failed^{-1} +34 z^{11} $Failed^{-1} +33 z^{11} $Failed^{-1} +15 z^{11} $Failed^{-1} +10 z^{10} $Failed^{-1} +23 z^{10} $Failed^{-1} +17 z^{10} $Failed^{-1} +16 z^{10}+10 \text{QuantumGroups$\grave{ }$a} z^9-33 z^9 $Failed^{-1} -97 z^9 $Failed^{-1} -74 z^9 $Failed^{-1} -8 z^9 $Failed^{-1} +12 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^2 z^8-81 z^8 $Failed^{-1} -83 z^8 $Failed^{-1} -88 z^8 $Failed^{-1} -31 z^8 $Failed^{-1} +5 z^8 $Failed^{-1} -46 z^8+\text{QuantumGroups$\grave{ }$a}^3 z^7-28 \text{QuantumGroups$\grave{ }$a} z^7+17 z^7 $Failed^{-1} +104 z^7 $Failed^{-1} +45 z^7 $Failed^{-1} -41 z^7 $Failed^{-1} -27 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^2 z^6+143 z^6 $Failed^{-1} +139 z^6 $Failed^{-1} +88 z^6 $Failed^{-1} +12 z^6 $Failed^{-1} -11 z^6 $Failed^{-1} +59 z^6-3 \text{QuantumGroups$\grave{ }$a}^3 z^5+29 \text{QuantumGroups$\grave{ }$a} z^5+23 z^5 $Failed^{-1} -34 z^5 $Failed^{-1} +3 z^5 $Failed^{-1} +52 z^5 $Failed^{-1} +22 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^2 z^4-119 z^4 $Failed^{-1} -110 z^4 $Failed^{-1} -48 z^4 $Failed^{-1} +2 z^4 $Failed^{-1} +8 z^4 $Failed^{-1} -46 z^4+2 \text{QuantumGroups$\grave{ }$a}^3 z^3-18 \text{QuantumGroups$\grave{ }$a} z^3-33 z^3 $Failed^{-1} -17 z^3 $Failed^{-1} -20 z^3 $Failed^{-1} -26 z^3 $Failed^{-1} -9 z^3 $Failed^{-1} +z^3 $Failed^{-1} +57 z^2 $Failed^{-1} +52 z^2 $Failed^{-1} +18 z^2 $Failed^{-1} -2 z^2 $Failed^{-1} +21 z^2+5 \text{QuantumGroups$\grave{ }$a} z+12 z $Failed^{-1} +14 z $Failed^{-1} +10 z $Failed^{-1} +5 z $Failed^{-1} +2 z $Failed^{-1} -15 $Failed^{-1} -13 $Failed^{-1} -5 $Failed^{-1} - $Failed^{-1} -5 }[/math] |
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