K14a837
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Polynomial invariants
| Jones polynomial | Data:K14a837/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+7 t^4-25 t^3+59 t^2-98 t+117-98 t^{-1} +59 t^{-2} -25 t^{-3} +7 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K14a837/Conway Polynomial |
| Determinant | Data:K14a837/Determinant |
| Signature | Data:K14a837/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+3 z^8 a^{-2} -7 z^8+5 a^2 z^6+16 z^6 a^{-2} -3 z^6 a^{-4} -22 z^6+10 a^2 z^4+35 z^4 a^{-2} -11 z^4 a^{-4} +z^4 a^{-6} -36 z^4+9 a^2 z^2+36 z^2 a^{-2} -15 z^2 a^{-4} +2 z^2 a^{-6} -32 z^2+4 a^2+15 a^{-2} -7 a^{-4} + a^{-6} -12 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{13} $Failed^{-1} +z^{13} $Failed^{-1} +11 z^{12} $Failed^{-1} +5 z^{12} $Failed^{-1} +6 z^{12}+14 \text{QuantumGroups$\grave{ }$a} z^{11}+34 z^{11} $Failed^{-1} +30 z^{11} $Failed^{-1} +10 z^{11} $Failed^{-1} +17 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+33 z^{10} $Failed^{-1} +26 z^{10} $Failed^{-1} +10 z^{10} $Failed^{-1} +34 z^{10}+14 \text{QuantumGroups$\grave{ }$a}^3 z^9-5 \text{QuantumGroups$\grave{ }$a} z^9-68 z^9 $Failed^{-1} -64 z^9 $Failed^{-1} -10 z^9 $Failed^{-1} +5 z^9 $Failed^{-1} +9 \text{QuantumGroups$\grave{ }$a}^4 z^8-25 \text{QuantumGroups$\grave{ }$a}^2 z^8-187 z^8 $Failed^{-1} -125 z^8 $Failed^{-1} -30 z^8 $Failed^{-1} +z^8 $Failed^{-1} -127 z^8+4 \text{QuantumGroups$\grave{ }$a}^5 z^7-21 \text{QuantumGroups$\grave{ }$a}^3 z^7-32 \text{QuantumGroups$\grave{ }$a} z^7-z^7 $Failed^{-1} -22 z^7 $Failed^{-1} -45 z^7 $Failed^{-1} -17 z^7 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^6-15 \text{QuantumGroups$\grave{ }$a}^4 z^6+19 \text{QuantumGroups$\grave{ }$a}^2 z^6+270 z^6 $Failed^{-1} +163 z^6 $Failed^{-1} +29 z^6 $Failed^{-1} -3 z^6 $Failed^{-1} +174 z^6-7 \text{QuantumGroups$\grave{ }$a}^5 z^5+13 \text{QuantumGroups$\grave{ }$a}^3 z^5+50 \text{QuantumGroups$\grave{ }$a} z^5+81 z^5 $Failed^{-1} +114 z^5 $Failed^{-1} +84 z^5 $Failed^{-1} +21 z^5 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^6 z^4+10 \text{QuantumGroups$\grave{ }$a}^4 z^4-13 \text{QuantumGroups$\grave{ }$a}^2 z^4-196 z^4 $Failed^{-1} -105 z^4 $Failed^{-1} -12 z^4 $Failed^{-1} +3 z^4 $Failed^{-1} -131 z^4+4 \text{QuantumGroups$\grave{ }$a}^5 z^3-4 \text{QuantumGroups$\grave{ }$a}^3 z^3-30 \text{QuantumGroups$\grave{ }$a} z^3-64 z^3 $Failed^{-1} -83 z^3 $Failed^{-1} -52 z^3 $Failed^{-1} -11 z^3 $Failed^{-1} +\text{QuantumGroups$\grave{ }$a}^6 z^2-3 \text{QuantumGroups$\grave{ }$a}^4 z^2+10 \text{QuantumGroups$\grave{ }$a}^2 z^2+80 z^2 $Failed^{-1} +40 z^2 $Failed^{-1} +4 z^2 $Failed^{-1} -z^2 $Failed^{-1} +59 z^2-\text{QuantumGroups$\grave{ }$a}^5 z+\text{QuantumGroups$\grave{ }$a}^3 z+8 \text{QuantumGroups$\grave{ }$a} z+16 z $Failed^{-1} +19 z $Failed^{-1} +11 z $Failed^{-1} +2 z $Failed^{-1} -4 \text{QuantumGroups$\grave{ }$a}^2-15 $Failed^{-1} -7 $Failed^{-1} - $Failed^{-1} -12 }[/math] |
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