K14a2910
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Polynomial invariants
| Jones polynomial | Data:K14a2910/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-8 t^4+30 t^3-71 t^2+115 t-133+115 t^{-1} -71 t^{-2} +30 t^{-3} -8 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K14a2910/Conway Polynomial |
| Determinant | Data:K14a2910/Determinant |
| Signature | Data:K14a2910/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +6 z^8 a^{-2} -z^8 a^{-4} -3 z^8+3 a^2 z^6+16 z^6 a^{-2} -4 z^6 a^{-4} -14 z^6-a^4 z^4+10 a^2 z^4+22 z^4 a^{-2} -6 z^4 a^{-4} -26 z^4-2 a^4 z^2+12 a^2 z^2+16 z^2 a^{-2} -4 z^2 a^{-4} -24 z^2-a^4+6 a^2+6 a^{-2} - a^{-4} -9 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 \text{QuantumGroups$\grave{ }$a} z^{13}+3 z^{13} $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+16 z^{12} $Failed^{-1} +25 z^{12}+10 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+33 \text{QuantumGroups$\grave{ }$a} z^{11}+59 z^{11} $Failed^{-1} +36 z^{11} $Failed^{-1} +5 \text{QuantumGroups$\grave{ }$a}^4 z^{10}-8 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+37 z^{10} $Failed^{-1} +47 z^{10} $Failed^{-1} -23 z^{10}+\text{QuantumGroups$\grave{ }$a}^5 z^9-36 \text{QuantumGroups$\grave{ }$a}^3 z^9-147 \text{QuantumGroups$\grave{ }$a} z^9-196 z^9 $Failed^{-1} -44 z^9 $Failed^{-1} +42 z^9 $Failed^{-1} -21 \text{QuantumGroups$\grave{ }$a}^4 z^8-70 \text{QuantumGroups$\grave{ }$a}^2 z^8-227 z^8 $Failed^{-1} -89 z^8 $Failed^{-1} +28 z^8 $Failed^{-1} -159 z^8-4 \text{QuantumGroups$\grave{ }$a}^5 z^7+40 \text{QuantumGroups$\grave{ }$a}^3 z^7+172 \text{QuantumGroups$\grave{ }$a} z^7+153 z^7 $Failed^{-1} -60 z^7 $Failed^{-1} -71 z^7 $Failed^{-1} +14 z^7 $Failed^{-1} +34 \text{QuantumGroups$\grave{ }$a}^4 z^6+157 \text{QuantumGroups$\grave{ }$a}^2 z^6+275 z^6 $Failed^{-1} +47 z^6 $Failed^{-1} -34 z^6 $Failed^{-1} +5 z^6 $Failed^{-1} +312 z^6+6 \text{QuantumGroups$\grave{ }$a}^5 z^5-8 \text{QuantumGroups$\grave{ }$a}^3 z^5-55 \text{QuantumGroups$\grave{ }$a} z^5-z^5 $Failed^{-1} +93 z^5 $Failed^{-1} +43 z^5 $Failed^{-1} -9 z^5 $Failed^{-1} +z^5 $Failed^{-1} -26 \text{QuantumGroups$\grave{ }$a}^4 z^4-124 \text{QuantumGroups$\grave{ }$a}^2 z^4-145 z^4 $Failed^{-1} -13 z^4 $Failed^{-1} +16 z^4 $Failed^{-1} -z^4 $Failed^{-1} -213 z^4-4 \text{QuantumGroups$\grave{ }$a}^5 z^3-9 \text{QuantumGroups$\grave{ }$a}^3 z^3-7 \text{QuantumGroups$\grave{ }$a} z^3-26 z^3 $Failed^{-1} -40 z^3 $Failed^{-1} -14 z^3 $Failed^{-1} +2 z^3 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^4 z^2+43 \text{QuantumGroups$\grave{ }$a}^2 z^2+42 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -3 z^2 $Failed^{-1} +69 z^2+\text{QuantumGroups$\grave{ }$a}^5 z+3 \text{QuantumGroups$\grave{ }$a}^3 z+3 \text{QuantumGroups$\grave{ }$a} z+5 z $Failed^{-1} +6 z $Failed^{-1} +2 z $Failed^{-1} -\text{QuantumGroups$\grave{ }$a}^4-6 \text{QuantumGroups$\grave{ }$a}^2-6 $Failed^{-1} - $Failed^{-1} -9 }[/math] |
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