K14a7725
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Polynomial invariants
| Jones polynomial | Data:K14a7725/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-8 t^4+29 t^3-64 t^2+103 t-121+103 t^{-1} -64 t^{-2} +29 t^{-3} -8 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K14a7725/Conway Polynomial |
| Determinant | Data:K14a7725/Determinant |
| Signature | Data:K14a7725/Signature |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-3 a^4 z^8+6 a^2 z^8-z^8+3 a^6 z^6-14 a^4 z^6+15 a^2 z^6-4 z^6-a^8 z^4+11 a^6 z^4-22 a^4 z^4+17 a^2 z^4-5 z^4-3 a^8 z^2+12 a^6 z^2-10 a^4 z^2+7 a^2 z^2-z^2-2 a^8+2 a^6+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 \text{QuantumGroups$\grave{ }$a}^5 z^{13}+2 \text{QuantumGroups$\grave{ }$a}^3 z^{13}+8 \text{QuantumGroups$\grave{ }$a}^6 z^{12}+17 \text{QuantumGroups$\grave{ }$a}^4 z^{12}+9 \text{QuantumGroups$\grave{ }$a}^2 z^{12}+13 \text{QuantumGroups$\grave{ }$a}^7 z^{11}+31 \text{QuantumGroups$\grave{ }$a}^5 z^{11}+35 \text{QuantumGroups$\grave{ }$a}^3 z^{11}+17 \text{QuantumGroups$\grave{ }$a} z^{11}+13 \text{QuantumGroups$\grave{ }$a}^8 z^{10}+11 \text{QuantumGroups$\grave{ }$a}^6 z^{10}-4 \text{QuantumGroups$\grave{ }$a}^4 z^{10}+16 \text{QuantumGroups$\grave{ }$a}^2 z^{10}+18 z^{10}+9 \text{QuantumGroups$\grave{ }$a}^9 z^9-15 \text{QuantumGroups$\grave{ }$a}^7 z^9-84 \text{QuantumGroups$\grave{ }$a}^5 z^9-100 \text{QuantumGroups$\grave{ }$a}^3 z^9-28 \text{QuantumGroups$\grave{ }$a} z^9+12 z^9 $Failed^{-1} +4 \text{QuantumGroups$\grave{ }$a}^{10} z^8-25 \text{QuantumGroups$\grave{ }$a}^8 z^8-57 \text{QuantumGroups$\grave{ }$a}^6 z^8-75 \text{QuantumGroups$\grave{ }$a}^4 z^8-97 \text{QuantumGroups$\grave{ }$a}^2 z^8+5 z^8 $Failed^{-1} -45 z^8+\text{QuantumGroups$\grave{ }$a}^{11} z^7-21 \text{QuantumGroups$\grave{ }$a}^9 z^7-7 \text{QuantumGroups$\grave{ }$a}^7 z^7+94 \text{QuantumGroups$\grave{ }$a}^5 z^7+107 \text{QuantumGroups$\grave{ }$a}^3 z^7-4 \text{QuantumGroups$\grave{ }$a} z^7-31 z^7 $Failed^{-1} +z^7 $Failed^{-1} -10 \text{QuantumGroups$\grave{ }$a}^{10} z^6+16 \text{QuantumGroups$\grave{ }$a}^8 z^6+71 \text{QuantumGroups$\grave{ }$a}^6 z^6+135 \text{QuantumGroups$\grave{ }$a}^4 z^6+141 \text{QuantumGroups$\grave{ }$a}^2 z^6-12 z^6 $Failed^{-1} +39 z^6-3 \text{QuantumGroups$\grave{ }$a}^{11} z^5+18 \text{QuantumGroups$\grave{ }$a}^9 z^5+15 \text{QuantumGroups$\grave{ }$a}^7 z^5-61 \text{QuantumGroups$\grave{ }$a}^5 z^5-49 \text{QuantumGroups$\grave{ }$a}^3 z^5+33 \text{QuantumGroups$\grave{ }$a} z^5+25 z^5 $Failed^{-1} -2 z^5 $Failed^{-1} +8 \text{QuantumGroups$\grave{ }$a}^{10} z^4-8 \text{QuantumGroups$\grave{ }$a}^8 z^4-49 \text{QuantumGroups$\grave{ }$a}^6 z^4-100 \text{QuantumGroups$\grave{ }$a}^4 z^4-89 \text{QuantumGroups$\grave{ }$a}^2 z^4+6 z^4 $Failed^{-1} -16 z^4+3 \text{QuantumGroups$\grave{ }$a}^{11} z^3-9 \text{QuantumGroups$\grave{ }$a}^9 z^3-9 \text{QuantumGroups$\grave{ }$a}^7 z^3+23 \text{QuantumGroups$\grave{ }$a}^5 z^3+10 \text{QuantumGroups$\grave{ }$a}^3 z^3-18 \text{QuantumGroups$\grave{ }$a} z^3-8 z^3 $Failed^{-1} -2 \text{QuantumGroups$\grave{ }$a}^{10} z^2+5 \text{QuantumGroups$\grave{ }$a}^8 z^2+18 \text{QuantumGroups$\grave{ }$a}^6 z^2+29 \text{QuantumGroups$\grave{ }$a}^4 z^2+23 \text{QuantumGroups$\grave{ }$a}^2 z^2+5 z^2-\text{QuantumGroups$\grave{ }$a}^{11} z+3 \text{QuantumGroups$\grave{ }$a}^9 z+2 \text{QuantumGroups$\grave{ }$a}^7 z-5 \text{QuantumGroups$\grave{ }$a}^5 z-4 \text{QuantumGroups$\grave{ }$a}^3 z-\text{QuantumGroups$\grave{ }$a} z-2 \text{QuantumGroups$\grave{ }$a}^8-2 \text{QuantumGroups$\grave{ }$a}^6+\text{QuantumGroups$\grave{ }$a}^4 }[/math] |
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