K14a921
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Polynomial invariants
| Jones polynomial | Data:K14a921/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+8 t^4-30 t^3+72 t^2-119 t+141-119 t^{-1} +72 t^{-2} -30 t^{-3} +8 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K14a921/Conway Polynomial |
| Determinant | Data:K14a921/Determinant |
| Signature | Data:K14a921/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+2 a^2 z^8+2 z^8 a^{-2} -6 z^8-a^4 z^6+10 a^2 z^6+8 z^6 a^{-2} -z^6 a^{-4} -17 z^6-4 a^4 z^4+21 a^2 z^4+12 z^4 a^{-2} -2 z^4 a^{-4} -25 z^4-6 a^4 z^2+20 a^2 z^2+7 z^2 a^{-2} -z^2 a^{-4} -18 z^2-3 a^4+7 a^2+ a^{-2} -4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 \text{QuantumGroups$\grave{ }$a} z^{13}+2 z^{13} $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+10 z^{12} $Failed^{-1} +19 z^{12}+15 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+41 \text{QuantumGroups$\grave{ }$a} z^{11}+47 z^{11} $Failed^{-1} +21 z^{11} $Failed^{-1} +14 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+17 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+38 z^{10} $Failed^{-1} +24 z^{10} $Failed^{-1} +17 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^5 z^9-22 \text{QuantumGroups$\grave{ }$a}^3 z^9-108 \text{QuantumGroups$\grave{ }$a} z^9-108 z^9 $Failed^{-1} -15 z^9 $Failed^{-1} +16 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^6 z^8-29 \text{QuantumGroups$\grave{ }$a}^4 z^8-89 \text{QuantumGroups$\grave{ }$a}^2 z^8-154 z^8 $Failed^{-1} -47 z^8 $Failed^{-1} +6 z^8 $Failed^{-1} -157 z^8+\text{QuantumGroups$\grave{ }$a}^7 z^7-20 \text{QuantumGroups$\grave{ }$a}^5 z^7+8 \text{QuantumGroups$\grave{ }$a}^3 z^7+105 \text{QuantumGroups$\grave{ }$a} z^7+56 z^7 $Failed^{-1} -54 z^7 $Failed^{-1} -33 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^6 z^6+27 \text{QuantumGroups$\grave{ }$a}^4 z^6+138 \text{QuantumGroups$\grave{ }$a}^2 z^6+171 z^6 $Failed^{-1} +24 z^6 $Failed^{-1} -10 z^6 $Failed^{-1} +238 z^6-3 \text{QuantumGroups$\grave{ }$a}^7 z^5+15 \text{QuantumGroups$\grave{ }$a}^5 z^5+4 \text{QuantumGroups$\grave{ }$a}^3 z^5-35 \text{QuantumGroups$\grave{ }$a} z^5+24 z^5 $Failed^{-1} +67 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^6 z^4-22 \text{QuantumGroups$\grave{ }$a}^4 z^4-110 \text{QuantumGroups$\grave{ }$a}^2 z^4-85 z^4 $Failed^{-1} -7 z^4 $Failed^{-1} +4 z^4 $Failed^{-1} -154 z^4+3 \text{QuantumGroups$\grave{ }$a}^7 z^3-5 \text{QuantumGroups$\grave{ }$a}^5 z^3-9 \text{QuantumGroups$\grave{ }$a}^3 z^3-6 \text{QuantumGroups$\grave{ }$a} z^3-22 z^3 $Failed^{-1} -23 z^3 $Failed^{-1} -6 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^2+13 \text{QuantumGroups$\grave{ }$a}^4 z^2+43 \text{QuantumGroups$\grave{ }$a}^2 z^2+20 z^2 $Failed^{-1} +3 z^2 $Failed^{-1} +45 z^2-\text{QuantumGroups$\grave{ }$a}^7 z+\text{QuantumGroups$\grave{ }$a}^5 z+4 \text{QuantumGroups$\grave{ }$a}^3 z+4 \text{QuantumGroups$\grave{ }$a} z+3 z $Failed^{-1} +z $Failed^{-1} -3 \text{QuantumGroups$\grave{ }$a}^4-7 \text{QuantumGroups$\grave{ }$a}^2- $Failed^{-1} -4 }[/math] |
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